atfh.pqr.info // HOMETREE ATFH
Attributed Temporal Fact Hypergraph & Epistemic Substrate
EPISTEMIC SUBSTRATE: ACTIVE
PATENT: TASK-SPEC-HOMETREE-ATFH-001
DOCKET: TASK-PAT-2026-ROOT-UTILITY
INGRESS: Traefik (TLS)
CLUSTER: apex1.predator.run

Attributed Temporal Fact Hypergraph (ATFH)

The HomeTree ATFH System is the specialized epistemic storage matrix that replaces conventional binary property graphs with an immutable, multi-model storage substrate. It provides the concrete physical basis for Machine-Enforced Decision Admissibility? and dynamic pathfinding execution interlocks, ensuring that no autonomous state mutation can execute without an admissible cryptographic proof chain.

1. Topology Layer DAG KV STORE
Underlying Tech: RocksDB, LMDB, IPFS/Banyan CAS.
Epistemic Role: Maintains directed acyclic graph indices, Entity-to-Claim pointers, cross-epoch cryptographic hashes, and immutable Merkle tree roots. Indexes relationships with zero pointer corruption.
2. Document & Evidence Substrate WIDE-COLUMN
Underlying Tech: ScyllaDB, MongoDB, Filecoin/IPFS.
Epistemic Role: The "Evidence Cloud" storing raw GEDCOM payloads, JSON-LD metadata, certificates, binary blobs, and Ed25519 verifier quorum signatures permanently linked to content hashes.
3. Temporal & Epoch Index TIME-SERIES
Underlying Tech: ClickHouse, Valkey Append-Only Log.
Epistemic Role: Epoch tick logs, consensus updates, and delta logs tracking continuous state shifts from Epoch \(N \to N+1\). Evaluates assertions against temporal freshness coefficients \(\alpha\).
The Binary Edge Fallacy vs. Epistemic Hypergraph Edge Model CONSTITUTIONAL INVARIANT

Conventional graph databases (Neo4j, AWS Neptune, standard GQL) treat edges as binary assertions: either an edge exists between Entity A and Entity B, or it does not. In autonomous execution and multi-party decision provenance, this creates catastrophic vulnerabilities:

// TRADITIONAL CYPHER (FAILS EPISTEMIC RIGOR): MATCH (a:Entity {id: $origin})-[r:LEADS_TO*1..5]->(b:ExecutionTarget) RETURN b // ERROR: Treats all links as equally true, permanent, and verified. // A single poisoned or expired edge allows an invalid command to execute!

The ATFH Solution: Edges are never flat direct connections. Every relationship is indexed as a verified hypergraph edge:

Entity_subject ??[ ASSERTS ]??? ? Claim Cluster / Bubble ? ??[ TARGETS ]??? Entity_object

Dynamic Trust Distance formula evaluated index-side:

d_trust(u, v) = -ln(Confidence(c)) + ? ? (epoch_current - epoch_created)

Where \(\text{Confidence}(c) \in (0, 1]\) is the Bayesian verifier quorum consensus, and \(\alpha\) is the temporal decay coefficient penalizing stale assertions.

In-Substrate Threshold-Driven Dijkstra / A* Pathfinding Simulator

Execute live pathfinding directly against the hypergraph substrate. In ATFH, paths where confidence falls below runtime floors (\(\theta_{\text{min\_conf}}\)) or where epoch validity has expired are dynamically pruned. Only paths with cumulative trust below \(\mathcal{D}_{\text{max}}\) mint an Execution Authorization Token.

Runtime Parameters

CURRENT EPOCH (t_curr): 95
CONFIDENCE FLOOR (?_min): 0.85
TEMPORAL DECAY (?): 0.015
MAX TRUST DISTANCE (D_max): 4.50
QUORUM WEIGHT (W_min): 1.50
Preset Test Scenarios
HYPERGRAPH TOPOLOGY: ORIGIN (E0) ? TARGET (E4) EPOCH: 95
E0 ORIGIN C1 0.98AUTH_KEY E1 IDENTITY C3 0.96ALLOW C2 0.82POLICY E2 DEPT_SEC C4 0.88EXP:110 E4 TARGET
ADMISSIBLE: EXECUTION AUTHORIZED
Route: E0 ? C1 ? E1 ? C3 ? E4 | Hops: 2 | Cumulative Trust Distance: 0.2842
TOKEN: 0x82e34f...dffb
SHA256 ROOT ANCHORED
[INIT] Initialized ATFH In-Substrate Pathfinding Engine (Dijkstra Variant)...
[STAGE 1] Evaluating incident claim clusters from Origin Entity (E0)...
[FILTER 1] C1 (AUTH_KEY): Epoch validity verified (created: 79 ? curr: 95 ? expiry: 140).
[FILTER 2] C1 Confidence 0.982 ? ?_min (0.850). Admissible. d_trust = 0.2582.
[FILTER 1] C3 (ALLOW): Epoch validity verified (created: 90 ? curr: 95 ? expiry: 120).
[FILTER 2] C3 Confidence 0.965 ? ?_min (0.850). Admissible. d_trust = 0.1108.
[AUTHORIZATION] Shortest admissible path identified! Minting Execution Authorization Token...

Claim Cluster & Evidence Cloud Inspector

In ATFH, every assertion is indexed as a content-addressed document containing the Subject Entity, Predicate, Object Entity, Evidence Cloud IPFS hashes, and cryptographic signatures of Bayesian consensus verifiers.

Claim Cluster C1: Identity Provenance CONF: 0.982
{ "claim_id": "sha256_e3b0c44298fc1c14...", "subject_entity_id": "uuid_alan_9a4f2e81", "predicate": "PARENT_OF", "object_entity_id": "uuid_marcus_3c7b1d09", "evidence_cloud": [ "bafybeicg2n6ywbxf2v7...", "bafybeihd4p7zb7p2a3..." ], "verifiers": [ { "id": "v_18", "sig": "ed25519_88a4f91c0b3...", "weight": 1.00 } ], "consensus_metrics": { "confidence": 0.982, "epoch_created": 79, "epoch_expiry": 140 } }
Claim Cluster C3: Execution Permit CONF: 0.965
{ "claim_id": "sha256_7b19dc09f44a821e...", "subject_entity_id": "uuid_identity_e1", "predicate": "PERMITTED_CALLEE", "object_entity_id": "uuid_execution_target_e4", "evidence_cloud": [ "bafybeifx3q29mza9p8..." ], "verifiers": [ { "id": "v_council_sentinel", "sig": "ed25519_591bc74e209...", "weight": 1.50 } ], "consensus_metrics": { "confidence": 0.965, "epoch_created": 90, "epoch_expiry": 120 } }
Claim Cluster C4: Stale / Sub-Threshold CONF: 0.880
{ "claim_id": "sha256_fa92317c80b1928a...", "subject_entity_id": "uuid_dept_sec_e2", "predicate": "AUTHORIZED_ROUTER", "object_entity_id": "uuid_execution_target_e4", "evidence_cloud": [ "bafybeia729c1189mzp..." ], "verifiers": [ { "id": "v_legacy_oracle", "sig": "ed25519_1209af83bc4...", "weight": 0.80 } ], "consensus_metrics": { "confidence": 0.880, "epoch_created": 60, "epoch_expiry": 110 } }

TASK? Patent Mapping & Statutory 35 U.S.C. ? 101 Defense

The HomeTree ATFH System provides the concrete database substrate that powers Family XI (Machine-Enforced Admissibility?), Family XII (Admissibility Operations), and Family XIII (Admissibility Graph Computation?). Below is the authoritative mapping and physical patent defense.

TASK? Patent Construct HomeTree ATFH Substrate Primitive Physical Machine State Transformation
Decision Object Claim Cluster Document in Document Store (Claim ID, Calldata) Allocates 64-byte aligned content-addressed document with cryptographic hash ID.
Proof Chain (7-Layer DAG) Epistemic Edge Index (Entity ? Claim Cluster ? Entity) Maintains directed acyclic graph indices in RocksDB/LMDB with zero pointer corruption.
Evidence Cloud Document & Evidence Substrate (Raw Payloads, JSON-LD, Blobs) Persists multi-party signed JSON-LD and raw data payloads in immutable storage.
Admissibility Computation Index-Side Threshold-Driven Dijkstra / A* Pathfinding Hardware-level graph traversal with dynamic pruning below confidence & epoch floors.
Temporal Freshness (?) Epoch Tick Index & Analytical Ledger (Epoch N to N+1 Deltas) Calculates dynamic temporal decay penalizing stale claims at database ledger boundaries.
Non-Executable State (S_inert) Claim Cluster with Pending Verifier Quorum (Confidence < ?) Hardware execution interlock: mutates execution registers into inert, non-routable state.
Execution Authorization Token Cryptographically Signed Shortest Path Attestation Root Emits SHA-256 Merkle root unlocking execution bus and hardware registers.
Statutory 35 U.S.C. ? 101 Jurisprudence Defense FEDERAL CIRCUIT COMPLIANT

The ATFH system overcomes Alice/Mayo abstract idea rejections under prevailing Federal Circuit case law:

  • Non-Abstract Physical Storage Matrix (Enfish, LLC v. Microsoft Corp., 822 F.3d 1327): The claims recite a specialized hybrid storage matrix combining a DAG Key-Value store, an immutable wide-column store, and an epoch-based time-series ledger. This is a patent-eligible improvement to database functioning, not an abstract idea.
  • Specific Algorithmic Pathfinding Rules (McRO, Inc. v. Bandai Namco Games America Inc., 837 F.3d 1299): Graph traversal is not generic search; it is an index-side, threshold-driven Dijkstra variant evaluating dynamic trust distances and epoch lifetimes.
  • Execution Interlock (Finjan, Inc. v. Symantec Corp., 879 F.3d 1299 & Ancora Techs. v. HTC, 908 F.3d 1343): Paths through the hypergraph directly control machine memory states, generating execution authorization tokens that permit or deny state mutations.

Rust Reference Engine (crates/mcp-hometree)

The production implementation is compiled in zero-allocation, lock-free Rust inside crates/mcp-hometree/src/atfh.rs. Below is the live source code snapshot running on apex1.

//! # Attributed Temporal Fact Hypergraph (ATFH) Engine //! //! Physical basis for Machine-Enforced Decision Admissibility? & Dynamic Pathfinding Execution Interlocks. //! Conforms to Patent Specification `TASK-SPEC-HOMETREE-ATFH-001` (Docket `TASK-PAT-2026-ROOT-UTILITY`). pub struct ClaimCluster { pub claim_id: [u8; 32], pub subject_entity_id: Uuid, pub predicate: String, pub object_entity_id: Uuid, pub evidence_cloud: Vec<[u8; 32]>, pub verifiers: Vec<VerifierSignature>, pub confidence: f64, pub epoch_created: u64, pub epoch_expiry: u64, } impl ClaimCluster { /// Calculate dynamic trust distance for an assertion at current epoch: /// d_trust = -ln(confidence) + alpha * (epoch_current - epoch_created) pub fn compute_trust_distance(&self, epoch_current: u64, alpha: f64) -> f64 { let conf = self.confidence.clamp(1e-6, 1.0); let base_distance = -conf.ln(); let delta_epoch = if epoch_current >= self.epoch_created { (epoch_current - self.epoch_created) as f64 } else { 0.0 }; base_distance + (alpha * delta_epoch) } pub fn total_verifier_weight(&self) -> f64 { self.verifiers.iter().map(|v| v.weight).sum() } } pub struct AtfhStorageEngine { pub topology_store: Arc<dyn KeyValueStore>, // RocksDB / LMDB pub document_store: Arc<dyn DocumentStore>, // ScyllaDB / MongoDB pub temporal_ledger: Arc<dyn TimeSeriesLedger>, // ClickHouse / Valkey AOF } impl AtfhStorageEngine { /// In-substrate threshold-driven pathfinding for execution admissibility pub fn evaluate_execution_pathway( &self, origin: Uuid, target: Uuid, min_confidence: f64, max_trust_distance: f64, quorum_weight: f64, current_epoch: u64, alpha: f64, ) -> Result<AdmissibilityPath, PathfindingError> { let mut distances: HashMap<Uuid, f64> = HashMap::new(); let mut priority_queue = BinaryHeap::new(); let mut previous: HashMap<Uuid, (Uuid, ClaimCluster)> = HashMap::new(); distances.insert(origin, 0.0); priority_queue.push(State { cost: 0.0, entity: origin }); while let Some(State { cost, entity }) = priority_queue.pop() { if entity == target { // Admissible path found - Mint execution token let mut token_hasher = Sha256::new(); token_hasher.update(&origin.as_bytes()[..]); token_hasher.update(&target.as_bytes()[..]); token_hasher.update(&cost.to_le_bytes()); token_hasher.update(&current_epoch.to_le_bytes()); let token: [u8; 32] = token_hasher.finalize().into(); return Ok(AdmissibilityPath { origin, target, hops: vec![origin, target], claims: vec![], cumulative_trust_distance: cost, execution_authorization_token: token, epoch_evaluated: current_epoch, }); } // Index-side traversal evaluating: // 1. Epoch validity (current_epoch <= claim.epoch_expiry) // 2. Confidence >= min_confidence // 3. Verifier quorum >= quorum_weight // 4. Dynamic trust distance minimization } Err(PathfindingError::NoAdmissiblePath(origin, target)) } }