math_court
Affine.Earth math court: one tool, every court domain. domain+role+source run LatticeDomainIntegration (geometry Ehrhart, chance QPR, algebra Connes, physics table, health, finance, integer industry courts, QMA 2-local / spin-glass / N-rep / permanent, QC-001..019 presented-config verifiers, QC-021 presented (k,Q), affine_key Q-only expose, and the minecraft court). MINECRAFT: domain=minecraft with mc_op=project ingests one position (mc_x/y/z as the eight bytes the game sent, hex double bit patterns) onto the exact lattice at 2^32 units per block; mc_op=adjudicate rules on one of eight claims named by mc_claim - reaches, moved_within, stands_on, fits_through, fall_damage, knocked_toward, can_place, can_see - each reading the mc_* fields declared below; mc_op=sweep tests a projectile against a wall. domain affine_key returns patoshi_expose + shors_qmt_witness + topological_shear; period_r carries an ECDLP scalar or is empty, never a shear label; no k. An EMPTY domain returns the court catalog: domain_count is the number of courts and domains names each with its roles and may_ingest fields - take the count from the catalog, not from any text. Decimal strings on the wire. Floats refused.
Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| A | No | the presented private face as decimal or 64-hex, e.g. 1. Read by qc_affine_key/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| M | No | the number of marked entries out of N, e.g. 1. Read by qc_ampest/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| N | No | the modulus N of the period or Shor witness (qc_period, qc_shor: 15) or the search size (qc_ampest: 4), e.g. 15. Read by qc_ampest/researcher, qc_period/researcher, qc_shor/researcher, qc_shor_twin/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| Q | No | the presented public point, same shape as q_hex, e.g. 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798. Read by qc_affine_key/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| a | No | the base a of the period claim, coprime to N, e.g. 7. Read by qc_period/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| b | No | the right-hand side of the linear system as num/den rationals, comma-separated, e.g. 3/1,5/1. Read by qc_hhl/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| d | No | the dynamo denominator of the half-step ratio, e.g. 2. Read by dynamo/researcher, dynamo/steward, dynamo/theorist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| k | No | the phase index k (qc_qft, qc_kickback, qc_qpe) or the private scalar of the pair (qc_pair, qc_affine_key), e.g. 1. Read by qc_affine_key/researcher, qc_kickback/researcher, qc_pair/researcher, qc_qft/researcher, qc_qpe/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| m | No | the register width m in qubits, e.g. 2. Read by qc_kickback/researcher, qc_qpe/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| n | No | the qubit count n (qc_qft), the particle count (qma_nrep) or the dynamo numerator, e.g. 4. Read by dynamo/researcher, dynamo/steward, dynamo/theorist, qc_qft/researcher, qma_nrep/researcher, qma_nrep/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| q | No | the claimed Eisenstein q of the word (qc_topo) or the dynamo q, e.g. 0. Read by dynamo/researcher, dynamo/steward, dynamo/theorist, qc_topo/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| r | No | the claimed period r (qc_period) or the Eisenstein r (qc_topo, dynamo), e.g. 4. Read by dynamo/researcher, dynamo/steward, dynamo/theorist, qc_period/researcher, qc_topo/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| x | No | the first input bit string (qc_simon: 00) or the solution vector as num/den rationals (qc_hhl: 3/1,5/1), e.g. 00. Read by qc_hhl/researcher, qc_simon/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| y | No | the second input bit string; x XOR y must equal mask, e.g. 11. Read by qc_simon/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| ab | No | the two measured Bell bits, e.g. 00. Read by qc_bell/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| fx | No | the presented f(x), decimal or bit string, e.g. 0. Read by qc_simon/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| fy | No | the presented f(y); must equal fx, e.g. 0. Read by qc_simon/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| hz | No | the claimed frequency in whole hertz, > 0, e.g. 440. Read by rife/researcher, rife/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| nm | No | the claimed wavelength in whole nanometres, > 0, e.g. 750. Read by rife/researcher, rife/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| bob | No | Bob's two bits after the corrections, e.g. 01. Read by qc_teleport/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| cid | No | PubChem CID of the compound, e.g. 2244. Read by chemistry/chemist, chemistry/steward, complex/chemist, complex/researcher, complex/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| cod | No | Crystallography Open Database id, e.g. 1011097. Read by material/crystallographer, material/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| den | No | denominator of the first rational, > 0, e.g. 1. Read by cs/compiler; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| end | No | the claimed ending vertex, 0 or 1, e.g. 0. Read by qc_walk/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| hba | No | hydrogen-bond acceptors, >= 0, e.g. 4. Read by chemistry/chemist, complex/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| hbd | No | hydrogen-bond donors, >= 0, e.g. 1. Read by chemistry/chemist, complex/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| icd | No | ICD-10 code, e.g. E11. Read by disease/clinician, disease/registrar, disease/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| num | No | numerator of the first rational, e.g. 143. Read by cs/compiler; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| bits | No | the two classical bits sent over one entangled qubit, e.g. 11. Read by qc_superdense/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| den2 | No | denominator of the second rational, > 0, e.g. 3. | |
| doid | No | Disease Ontology id, e.g. DOID:9352. Read by disease/clinician, disease/registrar, disease/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| lots | No | position size in whole lots, e.g. 3. Read by finance/auditor, finance/clearing, finance/trader; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| mask | No | Simon's hidden mask as a bit string, e.g. 11. Read by qc_simon/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| mc_x | No | minecraft position X as a 16-digit hex IEEE-754 double bit pattern, e.g. 4021000000000000 for 8.5. The eight bytes the game sent, not a re-encoded decimal. | |
| mc_y | No | minecraft position Y as a 16-digit hex IEEE-754 double bit pattern, the eight bytes the game sent (see mc_x), e.g. 4050000000000000 for 64.0. | |
| mc_z | No | minecraft position Z as a 16-digit hex double bit pattern (see mc_x), e.g. 4021000000000000 for 8.5. | |
| num2 | No | numerator of the second rational; the court seals a/b + c/d = (ad+bc)/bd exactly, e.g. 1. | |
| rho2 | No | qma_nrep: 2x2 rational 2-RDM, rows by |, entries num/den, e.g. 1/2,0/1|0/1,1/2 | |
| role | No | the role on that domain, from the catalog; the role names which may_ingest fields the court reads, e.g. gnss (with domain eclipse). | |
| term | No | the coupling term named; declared by biosphere/coupling, not read by the verdict today (biosphere grades scenario), e.g. residence_time. Read by biosphere/coupling; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| word | No | the group word the Connes court grades, from its corpus, e.g. Z2_a2b. Read by algebra/phenomenologist, algebra/qft_theorist, qc_topo/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| year | No | calendar year of the ledger row; declared by biosphere/mass_ledger and biosphere/ozone_column, not read by the verdict today (biosphere grades scenario), e.g. 2025. Read by biosphere/mass_ledger, biosphere/ozone_column; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| alice | No | Alice's two measurement bits, e.g. 01. Read by qc_teleport/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| class | No | the claimed class: constant or balanced for qc_dj, the Bell class bits for qc_bell, e.g. constant. Read by qc_bell/researcher, qc_dj/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| clock | No | the clock tick the table row is read at, e.g. 1. Read by health/regulator, health/trialist, physics/detector, physics/experimentalist, physics/theorist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| count | No | the claimed number of marked entries (1s in the oracle), e.g. 1. Read by qc_count/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| die_a | No | the 60 faces of die A as an array of decimal strings (the court reads an integer list; a comma string is refused), e.g. ["1","10","19","20","21","22","39","40"]. | |
| die_b | No | die B faces, array of decimal strings, e.g. ["2","9","18","23","24","25","38","43"]. | |
| die_c | No | die C faces, array of decimal strings, e.g. ["3","8","17","26","27","28","37","44"]. | |
| die_d | No | die D faces, array of decimal strings, e.g. ["4","7","16","29","30","31","36","45"]. | |
| die_e | No | die E faces, array of decimal strings, e.g. ["5","6","15","32","33","34","35","46"]. | |
| edges | No | couplings as i,j,J;... integers, e.g. 0,1,1;1,2,1;2,0,1. | |
| grade | No | declared by biosphere/coupling in the catalog; carried with the ingest and not read by the biosphere verdict today (biosphere grades scenario), e.g. MEASURED. Read by biosphere/coupling; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| lag_s | No | lag in whole seconds, e.g. 600. Read by eclipse/gnss, eclipse/ionosonde; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| mc_op | No | minecraft court operation: 'project' (ingest one position onto the exact lattice), 'adjudicate' (rule on a gameplay claim named by mc_claim) or 'sweep' (a projectile from mc_x/y/z to mc_to_x/y/z against the wall at mc_wall_x/y/z). Defaults to project. e.g. adjudicate | |
| mp_id | No | Materials Project id, mp-##### from the authored fixture, e.g. mp-149. Read by material/crystallographer, material/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| phase | No | the claimed eigenphase as num/den, e.g. 1/4. Read by qc_kickback/researcher, qc_qpe/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| q_bin | No | the momentum-transfer bin index, e.g. 1. Read by qcd/jet_analyst, qcd/phenomenologist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| q_hex | No | a secp256k1 public point as 130-hex uncompressed (04...) or 66-hex compressed, e.g. 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798. | |
| spins | No | discrete spins +1,-1,... one per site, e.g. 1,-1,1. | |
| start | No | the starting vertex, 0 or 1, e.g. 0. Read by qc_walk/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| steps | No | the number of walk steps, >= 0, e.g. 2. Read by qc_walk/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| table | No | the truth table of f as a bit string, e.g. 00. Read by qc_dj/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| tau_s | No | elimination time constant in whole seconds; declared by health/clinician, not read by the health verdict today (health grades mass_milli, vol_milli, arm_counts), e.g. 3600. Read by health/clinician; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| ticks | No | price move in whole ticks; PnL = lots * ticks exact in Z, e.g. 5. Read by finance/auditor, finance/clearing, finance/trader; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| track | No | the track index of the table row, e.g. 1. Read by physics/detector, physics/experimentalist, physics/theorist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| config | No | computational bits s0,s1,... each 0 or 1, e.g. 0,1. | |
| domain | No | the court to sit, named in the catalog: geometry, chance, algebra, physics, qcd, health, finance, cs, fluids, eclipse, eht, seismic, disease, chemistry, material, pdb, gofirst, complex, rife, dynamo, biosphere, minecraft, qma_*, qc_*, affine_key and the others the catalog lists. Send an empty domain to receive the catalog itself - its domain_count is the count, its domains array names every court with every role and its may_ingest fields; read the count from there, never from this text. e.g. minecraft | |
| factor | No | the non-trivial factor the witness names, e.g. 3. Read by qc_shor/researcher, qc_shor_twin/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| hidden | No | the hidden bit string s the oracle computes s.x against, e.g. 101. Read by qc_bv/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| marked | No | the 0-based INDEX of the unique marked entry, not a count, e.g. 3. | |
| matrix | No | qma_permanent / qc_hhl: rows separated by |, entries by comma, e.g. 1,1,1|1,1,1|1,1,1 (n <= 3 for the permanent) | |
| object | No | alias of q_hex for affine_key: the public point as 130-hex uncompressed, e.g. 0479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8. Read by affine_key/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| oracle | No | a 0/1 string of length 2..8; the marked entries are the 1s, e.g. 0001. | |
| pdb_id | No | the four-character PDB entry id, e.g. 4HHB. Read by complex/chemist, complex/researcher, complex/steward, pdb/crystallographer, pdb/researcher, pdb/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| phases | No | the n QFT phases as num/den, comma-separated, e.g. 0/4,1/4,2/4,3/4. Read by qc_qft/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| phi_in | No | inflow flux as a whole number, e.g. 8. Read by fluids/certifier, fluids/cfd_vendor, fluids/designer; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| rounds | No | the number of QPR rounds, e.g. 8. Read by chance/compiler, chance/consensus, chance/quantum_info; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| source | No | attribution for the ingest (who or what posted it); absence is refused, e.g. court-client. | |
| answers | No | the oracle's answer to each query, in query order (bits, ';'-separated like queries), e.g. 101. Read by qc_bv/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| decoded | No | the two bits Bob decoded, e.g. 11. Read by qc_superdense/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| halfPow | No | a^(r/2) mod N, the half power of the witness, e.g. 4. Read by qc_shor/researcher, qc_shor_twin/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| mc_tick | No | the server tick this context describes, an integer the caller supplies: the law never reads a clock, so a run can be replayed, e.g. 20. | |
| mc_to_x | No | minecraft target X as a hex double bit pattern, for adjudicate and sweep, e.g. 4022000000000000 for 9.0. | |
| mc_to_y | No | minecraft target Y as a hex double bit pattern, for adjudicate and sweep, e.g. 4050000000000000 for 64.0. | |
| mc_to_z | No | minecraft target Z as a hex double bit pattern, for adjudicate and sweep, e.g. 4021000000000000 for 8.5. | |
| pearson | No | the Pearson symbol that travels with space_group, e.g. cF8. Read by material/crystallographer; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| phi_out | No | outflow flux as a whole number; the residual phi_in - phi_out is graded, e.g. 8. Read by fluids/certifier, fluids/cfd_vendor, fluids/designer; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| queries | No | the query bit strings, ';'-separated (a comma-separated list is REFUSED_SHAPE), e.g. 100;010;001. Read by qc_bv/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| snr_ppt | No | signal-to-noise in parts per thousand, e.g. 20000. Read by seismic/station, seismic/treaty; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| station | No | ozone station code; declared by biosphere/ozone_column, not read by the verdict today (biosphere grades scenario), e.g. BLD. Read by biosphere/ozone_column; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| cited_id | No | the citation id the court matches against its authored fixture: meyer-2023-5d60 (gofirst), iso16-a440 (rife), z2-a2b-half-step (dynamo), e.g. iso16-a440. Read by dynamo/researcher, dynamo/steward, dynamo/theorist, gofirst/combinatorist, gofirst/steward, rife/researcher, rife/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| cofactor | No | the cofactor N/factor of the witness, e.g. 5. Read by qc_shor/researcher, qc_shor_twin/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| dilation | No | the Ehrhart dilation factor t of the polytope, e.g. 12. Read by geometry/cad_engineer, geometry/digital_twin, geometry/regulator; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| fraction | No | the claimed amplitude fraction M/N as num/den, e.g. 1/4. Read by qc_ampest/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| inchikey | No | the InChIKey of the compound (27 characters, two hyphens), e.g. BSYNRYMUTXBXSQ-UHFFFAOYSA-N. Read by chemistry/chemist, chemistry/steward, complex/chemist, complex/researcher, complex/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| mc_att_x | No | knocked_toward: the attacker's X as a 16-digit hex IEEE-754 double bit pattern (see mc_x), e.g. 4000000000000000 for 2.0 | |
| mc_att_y | No | knocked_toward: the attacker's Y as a hex double bit pattern, e.g. 4050000000000000 for 64.0. | |
| mc_att_z | No | knocked_toward: the attacker's Z as a hex double bit pattern, e.g. 4021000000000000 for 8.5. | |
| mc_claim | No | minecraft gameplay claim to adjudicate (mc_op=adjudicate), one of the eight verbs a player uses: reaches, moved_within, stands_on, fits_through, fall_damage, knocked_toward, can_place, can_see. e.g. stands_on. Each verb names its own fields in its refusal: reaches/moved_within read mc_x/y/z, mc_to_x/y/z and a budget; stands_on, can_place and can_see read mc_block_x/y/z; fits_through reads mc_gap_w/h/d_units; fall_damage reads mc_x/y/z, mc_to_x/y/z and mc_health_points; knocked_toward reads mc_att_x/y/z and mc_toward_x/y/z | |
| operator | No | the fleet operator named in the ledger; declared by biosphere/mass_ledger, not read by the verdict today (biosphere grades scenario), e.g. operator_a. Read by biosphere/mass_ledger; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| origin_s | No | declared by fluids/operator in the catalog; carried with the ingest and not read by the fluids verdict today (fluids grades phi_in and phi_out), e.g. 0. Read by fluids/operator; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| perm_den | No | denominator of the claimed fair-permutation probability, e.g. 120. Read by gofirst/combinatorist, gofirst/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| perm_num | No | numerator of the claimed fair-permutation probability, e.g. 1. Read by gofirst/combinatorist, gofirst/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| scenario | No | biosphere/regulator joint ledger, one of measured_2025 | authorised_19408 | gen3_filed_100000 | orbital_data_centres, e.g. measured_2025. | |
| travel_s | No | measured P-wave travel time in whole seconds, e.g. 53. Read by seismic/station, seismic/treaty; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| vertices | No | vertex count of the polytope; declared by geometry/cad_engineer, not read by the Ehrhart verdict today (geometry grades polytope_id and dilation), e.g. 4. Read by geometry/cad_engineer; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| cited_url | No | the source URL of the citation, echoed with the verdict, e.g. https://en.wikipedia.org/wiki/A440_(pitch_standard). Read by dynamo/researcher, rife/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| label_int | No | integer class label; declared by cs/ml_engineer, not read by the cs verdict today (cs grades num, den, num2, den2), e.g. 1. Read by cs/ml_engineer; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| mc_budget | No | reach budget by name: 'survival' (4.5 blocks, exactly 19327352832 units) or 'creative' (6 blocks), e.g. survival. | |
| mc_wall_x | No | sweep: block X of the wall the projectile is tested against, integer as a decimal string, e.g. 3 | |
| mc_wall_y | No | sweep: block Y of the wall (optional; the wall spans the flight otherwise), e.g. 0 | |
| mc_wall_z | No | sweep: block Z of the wall (optional), e.g. 0 | |
| n_players | No | number of players the Go First dice set is claimed fair for, e.g. 5. Read by gofirst/combinatorist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| num_atoms | No | atoms in the cell, > 0 when present, e.g. 2. Read by material/crystallographer; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| pn_pred_s | No | predicted P-wave travel time in whole seconds, e.g. 53. Read by seismic/treaty; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| ratio_ppt | No | short/long flux ratio in parts per thousand, e.g. 5000. Read by eht/detector, eht/experimentalist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| score_den | No | denominator of the claimed score; declared by cs/ml_engineer, not read by the cs verdict today, e.g. 10. Read by cs/ml_engineer; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| score_num | No | numerator of the claimed score; declared by cs/ml_engineer, not read by the cs verdict today, e.g. 9. Read by cs/ml_engineer; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| vol_milli | No | dose volume in millilitres, > 0, e.g. 20000. Read by health/clinician, health/pharmacist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| arm_counts | No | health/trialist,regulator and the health grader: per-arm assay counts as an array of decimal strings, e.g. ["30","30"] | |
| convention | No | declared by biosphere/radiative in the catalog; carried with the ingest and not read by the biosphere verdict today (measured 2026-09-29: biosphere grades scenario), e.g. positive_downward. Read by biosphere/radiative; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| dilation_t | No | the QCD dilation parameter t (small t is freedom), e.g. 1. Read by qcd/phenomenologist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| dry_mass_g | No | reentry dry mass in grams; declared by biosphere/mass_ledger, not read by the verdict today (biosphere grades scenario), e.g. 461213000. Read by biosphere/mass_ledger; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| iterations | No | the presented Grover iterate count, e.g. 1. Read by qc_ampamp/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| jet_counts | No | jet multiplicity counts, comma-separated integers, e.g. 3,4,5. Read by qcd/jet_analyst; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| loss_ticks | No | loss in whole ticks; declared by finance/risk and finance/auditor, not read by the finance verdict today (finance grades lots and ticks), e.g. 5. Read by finance/auditor, finance/risk; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| mass_milli | No | dose mass in milligrams, e.g. 19000. Read by health/clinician, health/pharmacist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| mc_block_x | No | block coordinate X of the block a claim is about (stands_on: the block underfoot; can_place: the target block; can_see: the blocking obstacle), integer as a decimal string, e.g. 0 | |
| mc_block_y | No | block coordinate Y, see mc_block_x, e.g. 0 | |
| mc_block_z | No | block coordinate Z, see mc_block_x, e.g. 0 | |
| arrival_min | No | declared by fluids/operator in the catalog; carried with the ingest and not read by the fluids verdict today (measured 2026-09-29: fluids grades phi_in and phi_out), e.g. 42. Read by fluids/operator; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| constraints | No | ZZ terms as i,j,jnum,jden;... decimal strings, e.g. 0,1,1,1. | |
| corrections | No | the Pauli corrections Bob applies, two bits, e.g. 00. Read by qc_teleport/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| deci_dobson | No | total column ozone in deci-Dobson units; declared by biosphere/ozone_column, not read by the verdict today (biosphere grades scenario), e.g. 3000. Read by biosphere/ozone_column; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| face_counts | No | faces per die as an array of decimal strings; the cited Meyer 2023 5d60 tuple, e.g. ["60","60","60","60","60"]. | |
| mc_centre_x | No | block X at the centre of the enveloped context, e.g. 8. | |
| mc_centre_y | No | block Y at the centre of the enveloped context, e.g. 64. | |
| mc_centre_z | No | block Z at the centre of the enveloped context, e.g. 8. | |
| mc_toward_x | No | knocked_toward: X of the point of interest the knockback is judged against, hex double bit pattern, e.g. 4014000000000000 for 5.0 | |
| mc_toward_y | No | knocked_toward: Y of the point of interest as a hex double bit pattern, e.g. 4050000000000000 for 64.0. | |
| mc_toward_z | No | knocked_toward: Z of the point of interest as a hex double bit pattern, e.g. 4021000000000000 for 8.5. | |
| polytope_id | No | the named polytope the Ehrhart count is taken over, e.g. unit_square. Read by geometry/cad_engineer, geometry/digital_twin, geometry/regulator; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| space_group | No | the space-group number, an integer in 1...230, travelling with a Pearson token, e.g. 227. Read by material/crystallographer, material/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| presentation | No | a group presentation token; declared by algebra roles, not read by the Connes verdict today (algebra grades word), e.g. a2b. Read by algebra/phenomenologist, algebra/qft_theorist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| residual_int | No | the integer residual a CFD vendor reports; declared by fluids/cfd_vendor, not read by the fluids verdict today (fluids grades phi_in and phi_out), e.g. 0. Read by fluids/cfd_vendor; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| table_counts | No | table row counts, comma-separated integers, e.g. 3,4,5. Read by physics/detector, physics/experimentalist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| arc_order_ppt | No | arc-order statistic in parts per thousand, e.g. 800. Read by eht/experimentalist, eht/theorist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| depletion_ppm | No | electron-content depletion in parts per million, e.g. 300000. Read by eclipse/gnss, eclipse/ionosonde, eclipse/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| null_conc_ppt | No | null-closure concentration in parts per thousand, e.g. 100. Read by eht/experimentalist, eht/theorist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| color_isolated | No | 1 if a colour row is isolated (illegal), 0 otherwise, e.g. 0. Read by qcd/jet_analyst; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| mc_gap_d_units | No | fits_through: depth of the gap in lattice units, e.g. 4294967296 | |
| mc_gap_h_units | No | fits_through: height of the gap in lattice units, e.g. 8589934592 for two blocks | |
| mc_gap_w_units | No | fits_through: width of the gap in exact lattice units (2^32 = 4294967296 units per block), e.g. 4294967296 for one block | |
| milli_w_per_m2 | No | radiative forcing in milliwatts per square metre; declared by biosphere/radiative, not read by the verdict today (biosphere grades scenario), e.g. 41. Read by biosphere/radiative; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| confinement_ppm | No | ionospheric confinement in parts per million, e.g. 60000. Read by eclipse/gnss; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| long_median_ujy | No | long-baseline median flux in micro-jansky, e.g. 400000. Read by eht/detector, eht/experimentalist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| mc_budget_units | No | reach or movement budget in exact lattice units (2^32 per block), when not using mc_budget by name, e.g. 19327352832. | |
| obscuration_ppm | No | solar obscuration in parts per million, e.g. 900000. Read by eclipse/gnss, eclipse/ionosonde, eclipse/steward; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| payload_sha256d | No | double-SHA256 of the payload as 64 lowercase hex; declared by cs/consensus, not read by the cs verdict today (cs grades num, den, num2, den2), e.g. 5df6e0e2761359d30a8275058e299fcc0381534545f55cf43e41983f5d4c9456. Read by cs/consensus; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| proper_divisors | No | the proper divisors of r as decimal strings, comma-separated (REQUIRED by qc_period), e.g. 1,2. Read by qc_period/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| threshold_ticks | No | loss threshold in whole ticks; declared by finance/risk, not read by the finance verdict today (finance grades lots and ticks), e.g. 10. Read by finance/risk; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| closure_conc_ppt | No | closure-phase concentration in parts per thousand, e.g. 900. Read by eht/experimentalist, eht/theorist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| mc_health_points | No | fall_damage: the player health before the fall in whole points, e.g. 20 (full); omitted -> full health | |
| mc_window_blocks | No | edge of the enveloped context in whole blocks; outside it the court declines to answer rather than clamping, e.g. 16. | |
| short_median_ujy | No | short-baseline median flux in micro-jansky, e.g. 1500000. Read by eht/detector, eht/experimentalist; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| mc_wall_thin_units | No | sweep: wall thickness in lattice units when thinner than one block, e.g. 1073741824 for a quarter block | |
| lipinski_violations | No | count of Lipinski rule violations, >= 0, e.g. 0. Read by chemistry/chemist, complex/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. | |
| jordanBondExclusions | No | alias of constraints, e.g. 0,1,1,1. Read by qma_2local/researcher; post it only for those domains - a court names the fields it grades on in its REFUSED_NO_INSTANCE detail. |