{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UD7ITEK4DSIHPYPRP43PDLMVOV","merge_version":"pith-open-graph-merge-v1","event_count":4,"valid_event_count":4,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5fa85987060424b6d51bce44951d047ee8ba069e31e293ff969d3f026d735234","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-08-10T07:00:55Z","title_canon_sha256":"ec5fe244a63bc7ddb715114b3d5f1faa752ea1174261cb032f524fd77de8a5e9"},"schema_version":"1.0","source":{"id":"2608.09190","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.09190","created_at":"2026-08-11T02:22:03Z"},{"alias_kind":"arxiv_version","alias_value":"2608.09190v1","created_at":"2026-08-11T02:22:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.09190","created_at":"2026-08-11T02:22:03Z"},{"alias_kind":"pith_short_12","alias_value":"UD7ITEK4DSIH","created_at":"2026-08-11T02:22:03Z"},{"alias_kind":"pith_short_16","alias_value":"UD7ITEK4DSIHPYPR","created_at":"2026-08-11T02:22:03Z"},{"alias_kind":"pith_short_8","alias_value":"UD7ITEK4","created_at":"2026-08-11T02:22:03Z"}],"graph_snapshots":[{"event_id":"sha256:513bfc12ce8f61839937f5456624085834899fc87a6e641f1a315850889934aa","target":"graph","created_at":"2026-08-11T02:22:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.09190/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"GK is a query-directed first-order prover that extends ordinary resolution-based proof search with explicit positive and negative claims, numerical confidence values, and prioritized default rules with exceptions. It works directly with non-ground clauses, including equality and function terms. Candidate proofs are found by bounded first-order proof search; exception conditions of defaults are checked by further bounded searches, recursively when exceptions themselves depend on defaults. This avoids requiring a finite global grounding, while allowing incomplete searches to be reported as such.","authors_text":"Tanel Tammet","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-08-10T07:00:55Z","title":"Structure-Preserving Uncertainty Propagation in First-Order Proof Search"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.09190","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fe42dd6452a3d28ecf8df25f5cfc6ab5a0ed9d9dbdf453efd94d8b46692dcd49","target":"record","created_at":"2026-08-11T02:22:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5fa85987060424b6d51bce44951d047ee8ba069e31e293ff969d3f026d735234","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-08-10T07:00:55Z","title_canon_sha256":"ec5fe244a63bc7ddb715114b3d5f1faa752ea1174261cb032f524fd77de8a5e9"},"schema_version":"1.0","source":{"id":"2608.09190","kind":"arxiv","version":1}},"canonical_sha256":"a0fe89915c1c9077e1f17f36f1ad9575706588de1b943caa8b4ba427db9956c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0fe89915c1c9077e1f17f36f1ad9575706588de1b943caa8b4ba427db9956c5","first_computed_at":"2026-08-11T02:22:03.107642Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-11T02:22:03.107642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1pi32nObCL8WmaenGvOj99ns59l3KXwjZK9ZJCNvwX3wSabW0Q33no4kdmxujwFJ2JQrW6B4nVN2gEjnSeeSDw==","signature_status":"signed_v1","signed_at":"2026-08-11T02:22:03.109226Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.09190","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:49f8f968dca6f1a8a2b00857ba7d163696a123eb06bc9c3bcce3e66509bc1ab4","sha256:86acc1ced50f3a985ef9221c7d105847b809cfa500f04c0c3ccd1d18ba7547f6"]}],"invalid_events":[],"applied_event_ids":["sha256:fe42dd6452a3d28ecf8df25f5cfc6ab5a0ed9d9dbdf453efd94d8b46692dcd49","sha256:513bfc12ce8f61839937f5456624085834899fc87a6e641f1a315850889934aa"],"state_sha256":"60b10e0f72e121544249ddbcd4dd718d6b9a46ac976e403ee2a9cfd16e4f94c6"}