Affine.Earth Math Court
earth.affine/math-courtVersion 2026.8.24No-float UUM-8D Math Court. Integer courts and certified MCP. Floats refused.
Status
Responds350 msAnswered our handshake without sign-in.- Last checked
- Nov 14, 2026, 14:29 UTC
- Latency
- 350 ms
- Remotes responding
- 1 of 2
- Sign-in
- No sign-in, Sign-in unknown
- Hosting
- Hosted outside the EU (detected)
- Registry data as of
- Nov 14, 2026, 22:14 UTC
Data from the official MCP Registry, checked by run.zero. How we check
Connect
Streamable HTTP
https://affine.earth/language-invariant/mcpResponds350 msNo sign-in
Claude Code
claude mcp add --transport http math-court https://affine.earth/language-invariant/mcpClaude Desktop and claude.ai
Settings > Connectors > Add custom connector
Name: math-court
Remote MCP server URL: https://affine.earth/language-invariant/mcpCursor
{
"mcpServers": {
"math-court": {
"url": "https://affine.earth/language-invariant/mcp"
}
}
}VS Code
code --add-mcp '{"name":"math-court","type":"http","url":"https://affine.earth/language-invariant/mcp"}'SSE
https://affine.earth/language-invariant/mcp/sseNot checkedUses SSEUses SSE (legacy), not checked
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Tools
63 tools
Read-only | Idempotent | Open world | ||
|---|---|---|---|---|
affine_math_courtAffine.Earth Sovereign Zero-Float M8 Math Court: evaluates exact integer/rational expressions, symbolic systems, modular arithmetic, Stein binary GCD/LCM, combinatorics, and Pythagorean rotor invariants with BornRes == 0. | No | Yes | Yes | No |
affine_translate_textONE CALL, ONE STATE, EVERY LANGUAGE A PROJECTION across all 97 supported languages (9 RTL chiral w2=-1). Pass target_langs (or ["*"] / ["*97"]) to seal the texts state once and receive one projection per language under projections; pass target_lang alone for a single projection receipt (status RENDERED, PARTIAL, or REFUSED_*). Exact integer symmetric Dice association, positional alignment, productive morphology, closed-class concord, and J_Z scalar conservation; zero models, zero floats. | No | Yes | Yes | No |
amb128_codecAffine.Earth AMB-128 Wire Codec & Chirotope Inspector: inspects 8xUInt128 LE basis epoch, surface IDs, 97-language parity, and chiByte invariants. | No | Yes | Yes | No |
ast_code_verifierAffine.Earth Pure-Swift Deterministic AST Code Verifier: synthesizes deterministic zero-float Python/Swift/SQL code and validates structural syntax, indentation, identifier scope, and algebraic doctests directly in Swift. | No | Yes | Yes | No |
atc.assert_4d_deconflictionExact 4D separation over declared trajectories in integer-scaled geodetic coordinates (micro-degrees, feet, whole seconds, rational longitude scale): returns either a separation certificate or the violating pair with exact incursion interval and magnitude. Zero floats. | No | Yes | Yes | No |
bond_presented_keyQC-022 fused bond on secp256k1: post q_hex (uncompressed 04-prefixed pubkey hex) and optionally A (private face, 64-hex or decimal). Projects ground = A*G and grades the pair by verify_presented_pair (WIN iff A*G == Q; x(Q) alone is UNPRESENTED_PAIR). Deterministic, zero floats, does not ECDLP. | No | Yes | Yes | No |
civic_shield_auditAffine.Earth CivicShield Court: verifies 10,240-wallet peel-chain and BGP geodesic invariants via Stein Binary GCD with BornRes == 0. | No | Yes | Yes | No |
code_ir_equivCode Court LLVM IR constant-pool equivalence verifier: compares two textual .ll files (left_file and right_file, or files array) by the exact multiset digest of their scalar and vector IR constants. Returns WIN when equal or CODE_IR_DIVERGED naming the first unmatched value. | No | Yes | Yes | No |
corpus_bondsSealed spatial bonds from the Affine.Earth corpus (GAIA_SPATIAL_BOND_ARCHIVE / facts.m8.idx). Stateless when at_seq is pinned. | No | Yes | Yes | No |
corpus_capability_mapCensus of sealed bonds over a bounded window per lane (LLM_WEIGHTS, LLVM_IR, LLVM_IR_I64, AUDIO_SPEECH) with exact-orbit-closure counts and spatial sectors. | No | Yes | Yes | No |
corpus_coverageFleet-wide mining coverage from JetStream watermarks and cursor buckets: shard cursors, bonds acked, and standing stream message counts. | No | Yes | Yes | No |
critique_frameDeterministic frame critic (generative:0): grades a rendered language-game frame 0-1000 and returns integer span/pitch deltas with zero rotor/sync residual. | No | Yes | Yes | No |
execute_2local_hamiltonianQMA 2-local Hamiltonian verifier over exact rational ZZ terms i,j,jnum,jden and configuration bits s0,s1,... on UUM-8D. Returns exact energy_num/energy_den (WIN at -1/1 with no aligned term). Floats refused. | No | Yes | Yes | No |
execute_artifact_crucibleIngest an ARTIFACT INGESTION BRIEF plus artifact (source or base64 WASM module) and grade rungs 0-7 against declared Affine laws and target architecture. | No | Yes | Yes | No |
execute_exact_permanentSharp-P exact integer permanent for n<=3 computed by direct expansion and cross-checked against Ryser formula (WIN when permanent == 6). Floats refused. | No | Yes | Yes | No |
execute_transitionCertified stateless membrane transition: Rational S4/C4 lanes -> SpatialChordalFingerprint -> NATS geometry-only turn -> Aristotelian projection. Idempotent. | No | No | Yes | No |
exposeGeneric court ingest (strobe -> emit -> seal) across affine_key, jordan, lattice, qc_*, qma_*, and math_court domains. Empty kind returns catalog. Floats refused. | No | Yes | Yes | No |
feeds_catalogEvery feed a client can drive a game from: corpus lanes by mined_from, live global feeds, and transports (REST, RSS, MCP, NATS subject). Stateless; takes no arguments. | No | Yes | Yes | No |
finance_shield_verifyAffine.Earth FinanceShield Court: decomposes market valuation (y) into fundamental bedrock (Ax) and shear (+tau) in exact Int128 micro-cents. | No | Yes | Yes | No |
game_frame_metaRun a language-game context (atc, proteins, materials, franklin) and return its state plus deterministic integer self-evaluation score 0-1000. | No | Yes | Yes | No |
ide_rebuild_meshTrigger a Mac mesh rebuild from the IDE. Permitted only with founder named grant. | No | No | Yes | No |
lattice_opExact integer algebra on UUM-8D 8-lane + homology-z lattices (verify, shear, add, sub, mul, distance, locking_distance, lane_mask, park, permute_p1, permute_p2, is_zero). Empty op lists ops. | No | Yes | Yes | No |
m8_context_latticeAffine.Earth M8ContextLattice Court: evaluates non-commutative M8 conversation fold, script/language detection across all 97 languages (9 RTL), and session recall witness. | No | Yes | Yes | No |
math_courtAffine.Earth unified domain math court: evaluates LatticeDomainIntegration domains (geometry, chance, algebra, physics, health, finance, minecraft, qma_*, qc_*, affine_key) and exact symbolic integer/rational systems. Empty domain returns the court catalog. | No | Yes | Yes | No |
membrane_healthStateless membrane identity (mode, genesis epoch, subjects, 97-language chart, 63-tool MCP parity, JetStream status) plus cell listen facts. | No | Yes | Yes | No |
noaa_goes_r_weatherLive NOAA weather and space-weather radar lane (weather convective SIGMET polygons or space GOES-R X-ray flux and planetary K). | No | Yes | Yes | Yes |
nphard_shield_courtAffine.Earth NPHardShield Court: enforces bounded C4 -> J_Z -> S4 Gray-quotient closure across SC-ACOPF, CVRPTW, 2-QBF, Z[omega], and FVS cosets. | No | Yes | Yes | No |
project_affine_keyAffine key projection on secp256k1: post A (private scalar) to project Q = A*G; post A and q_hex to verify the bond; post q_hex alone for CHI_EXHAUSTED bond-dimension cost report. Zero floats. | No | Yes | Yes | No |
project_shor_twinQC-001b Shor twin projection: post N and halfPow to project factor and cofactor via Stein GCD, or post N, factor, and cofactor to project halfPow via CRT. Floats refused. | No | Yes | Yes | No |
release_regressionFranklin sign-off court over a canonical tab-separated Affine IDE release regression record (FRANKLIN_SIGNED_OFF when all arms pass, else CURE naming failing/missing arms). | No | Yes | Yes | No |
route_spin_glass_manifoldQMA spin-glass / frustrated Ising verifier: returns exact integer Ising energy sum(J * s_i * s_j) over edges i,j,J and spins +1/-1 (WIN at ground energy -1 on frustrated triangle). Floats refused. | No | Yes | Yes | No |
scene_composeCompose one USDA stage document (int2[] px pairs, sea plane, camera, and scene_digest) from sealed scene_ingest assets verified against SceneProvenanceLaw. | No | Yes | Yes | No |
scene_ingestIngest a scanned STL mesh (bytes_b64 or ASCII text) plus catalog license record into one welded integer micrometre USDA stage mesh and sealed provenance row. | No | Yes | Yes | No |
study_usdaCompose a stateless USDA study document (study-51..study-54 or franklin-avatar) and return structuredContent.usda and layers without writing to cell disk. | No | Yes | Yes | No |
twin.robotics.evaluate_exact_ikExact integer forward pose of the thirteen-piece Franklin avatar rig (ids 0..12) in whole milli-units over Pythagorean half-angle rotors (a^2 + b^2 - d^2 == 0). Zero floats. | No | Yes | Yes | No |
umc_directStart or advance a Universal Manifold Controller Long Play session (cinema, aviation, gaming, coding) with rational torsion measurement and KV checkpointing. | No | No | No | No |
umc_resumeResume a Universal Manifold Controller Long Play session from its latest sealed tip in UMC_LONG_PLAY for domain, session_id, and node_id. | No | No | No | No |
umc_statusRead-only Universal Manifold Controller status: sealed KV buckets (UMC_LONG_PLAY, C4_STATES, JORDAN_BONDS), Long Play domains, and NATS subjects. | No | Yes | Yes | No |
verify_amplitude_amplificationQC-009 Amplitude amplification verifier at N=4: checks 4-bit Grover oracle with single 1 at marked and iterations == 1. Floats refused. | No | Yes | Yes | No |
verify_amplitude_estimationQC-010 Amplitude estimation verifier: certifies presented rational fraction == M/N exactly. Floats refused. | No | Yes | Yes | No |
verify_bell_measurementQC-018 Bell measurement verifier: certifies that presented Bell class bits equal measured two-qubit bit string ab. Floats refused. | No | Yes | Yes | No |
verify_bernstein_vaziraniQC-007 Bernstein-Vazirani verifier: certifies answers[i] == popcount(hidden AND query_i) mod 2 across semicolon-separated queries. Floats refused. | No | Yes | Yes | No |
verify_deutsch_jozsaQC-006 Deutsch-Jozsa verifier: certifies truth table of length 2 or 4 is constant or balanced as claimed. Floats refused. | No | Yes | Yes | No |
verify_groverQC-002 Grover presented-oracle verifier: oracle is a 0/1 string of length 2..8 and marked is the unique 1-index. Floats refused. | No | Yes | Yes | No |
verify_hhlQC-005 HHL linear system witness verifier: for n<=2 integer matrix A and rational vectors b, x, certifies A*x == b exactly without matrix inversion. Floats refused. | No | Yes | Yes | No |
verify_jordan_bondDecide UUM-8D Jordan bond J_Z: checks whether (A*K + A_p1*K) - (K*B + K*B_p2) == 0^8 over 8-lane integer lattices x0..x7|z, or runs Q-only expose on q_hex. Floats refused. | No | Yes | Yes | No |
verify_n_representabilityQMA N-representability verifier on a 2x2 rational 2-RDM rho2 and particle count n. Float SDP refused. | No | Yes | Yes | No |
verify_periodMultiplicative order period verifier: certifies a^r == 1 (mod N), gcd(a,N) == 1, and a^d != 1 (mod N) for all posted proper_divisors. Floats refused. | No | Yes | Yes | No |
verify_phase_kickbackQC-011 Phase kickback verifier: certifies presented rational phase equals k / 2^m exactly. Floats refused. | No | Yes | Yes | No |
verify_presented_pairQC-021 Presented two-way affine pair verifier on secp256k1: certifies A*G == Q (and rejects false face A == x(Q)). Deterministic, zero floats. | No | Yes | Yes | No |
verify_qaoa_energyQC-014 QAOA Ising energy certifier: computes exact integer Ising energy sum(J * s_i * s_j) over edges and +/-1 spins (WIN at -1 on frustrated triangle). Floats refused. | No | Yes | Yes | No |
verify_qft_phasesQC-003 QFT phase table verifier: certifies phases[j] == (j*k)/n as exact rationals for n in {2,4,8}. Floats refused. | No | Yes | Yes | No |
verify_qpe_phaseQC-004 Quantum Phase Estimation verifier: certifies presented rational phase equals k / 2^m for 1 <= m <= 8. Floats refused. | No | Yes | Yes | No |
verify_quantum_countingQC-015 Quantum counting verifier: certifies claimed count equals number of 1 bits in 0/1 oracle string of length 2..8. Floats refused. | No | Yes | Yes | No |
verify_quantum_walkQC-012 Quantum walk on cycle C2: certifies presented end vertex in {0,1} equals (start + steps) mod 2. Floats refused. | No | Yes | Yes | No |
verify_shor_witnessQC-001 Shor witness certifier: certifies halfPow^2 == 1 (mod N), halfPow != 1 and N-1, gcd(halfPow-1,N) == factor, and factor*cofactor == N. Floats refused. | No | Yes | Yes | No |
verify_simonQC-008 Simon collision verifier: certifies x != y, x XOR y == mask, and fx == fy on bit strings. Floats refused. | No | Yes | Yes | No |
verify_superdenseQC-017 Superdense coding verifier: certifies decoded 2-bit string equals sent 2-bit string. Floats refused. | No | Yes | Yes | No |
verify_teleportQC-016 Quantum teleportation verifier: certifies Bob 2-bit string equals Alice 2-bit string XOR Pauli corrections. Floats refused. | No | Yes | Yes | No |
verify_topological_wordQC-019 Topological word verifier: compares presented Eisenstein pair (q, r) against sealed pair for Z2_a2b or Z2_abAB. Floats refused. | No | Yes | Yes | No |
verify_vqe_energyQC-013 VQE ZZ Hamiltonian energy certifier: computes exact rational energy_num/energy_den for constraints i,j,jnum,jden and bit config (WIN at -1/1). Floats refused. | No | Yes | Yes | No |
vqbit_jetstream_verifyAffine.Earth Sovereign vQbit & NATS JetStream Fact Verifier: verifies lexical and domain claims against PROT_READ mmap facts.m8.idx (< 35 flicks) and live NATS JetStream (GAIA_FACT_BUCKET, GAIA_SPATIAL_BOND_ARCHIVE, KV_gaia_s4_lexicon, GAIAFTCL_LANGUAGE_GAME), with optional verified chi=+1 closure seal write-back. | No | Yes | Yes | No |
weather.convective_containmentExact integer crossing-number containment of a declared 3D track (micro-degrees and feet) against convex or non-convex convective cell polygons and optional margin standoff. Zero floats. | No | Yes | Yes | No |
Details
- Registry status
- Active
- Published
- Aug 23, 2026
- Updated
- Aug 23, 2026
- Categories (suggested)
- Finance and paymentsDeveloper toolsSuggested categories are assigned automatically from the registry text and may be wrong. Verified operators can correct them.
- GDPR
- Not declared