{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:7F4MJR56KG4AGD3DT6THVEHFB7","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0a0fa2df28f5f6b454ba142c276c11f0853a73d54e9e9ff3b7c38e4b5f62f2fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2025-07-03T11:35:34Z","title_canon_sha256":"eb7f5d7825d8a4a8d17c447913ac9120093430834148e8b4e3473af751df2593"},"schema_version":"1.0","source":{"id":"2507.02541","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.02541","created_at":"2026-07-05T11:31:30Z"},{"alias_kind":"arxiv_version","alias_value":"2507.02541v1","created_at":"2026-07-05T11:31:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.02541","created_at":"2026-07-05T11:31:30Z"},{"alias_kind":"pith_short_12","alias_value":"7F4MJR56KG4A","created_at":"2026-07-05T11:31:30Z"},{"alias_kind":"pith_short_16","alias_value":"7F4MJR56KG4AGD3D","created_at":"2026-07-05T11:31:30Z"},{"alias_kind":"pith_short_8","alias_value":"7F4MJR56","created_at":"2026-07-05T11:31:30Z"}],"graph_snapshots":[{"event_id":"sha256:55e49a6747dfe5873c2b91745b4f3943516650a8f1adba109250e8612e2bb3c7","target":"graph","created_at":"2026-07-05T11:31:30Z","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/2507.02541/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we investigate whether improving task clarity can enhance reasoning ability of large language models, focusing on theorem proving in Coq. We introduce a concept-level metric to evaluate task clarity and show that adding structured semantic context to the standard input used by modern LLMs, leads to a 1.85$\\times$ improvement in clarity score (44.5\\%~$\\rightarrow$~82.3\\%). Using the general-purpose model \\texttt{DeepSeek-V3}, our approach leads to a 2.1$\\times$ improvement in proof success (21.8\\%~$\\rightarrow$~45.8\\%) and outperforms the previous state-of-the-art \\texttt{Graph2Ta","authors_text":"Andrew Chi-Chih Yao, Biao Li, Chao Li, Chenxu Fu, Ge Zhang, Hanbin Yang, Xiaodie Wang, Yang Yuan, Yanzhen Lu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2025-07-03T11:35:34Z","title":"Clarifying Before Reasoning: A Coq Prover with Structural Context"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.02541","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:d48665dfa2226967116c8c29cf906f1a713141050b45599627026b43da5535b7","target":"record","created_at":"2026-07-05T11:31:30Z","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":"0a0fa2df28f5f6b454ba142c276c11f0853a73d54e9e9ff3b7c38e4b5f62f2fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2025-07-03T11:35:34Z","title_canon_sha256":"eb7f5d7825d8a4a8d17c447913ac9120093430834148e8b4e3473af751df2593"},"schema_version":"1.0","source":{"id":"2507.02541","kind":"arxiv","version":1}},"canonical_sha256":"f978c4c7be51b8030f639fa67a90e50fe448aacdb6cc4833eb56db2ef45b633d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f978c4c7be51b8030f639fa67a90e50fe448aacdb6cc4833eb56db2ef45b633d","first_computed_at":"2026-07-05T11:31:30.431673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:31:30.431673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cQk6BHr96b0yiOsp68Ppvpxi01tF8ngIaufVsEav1W3PiRHJRWlFYi/JbzRJSLD47QfV493r7XAzDraOypWlAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:31:30.432185Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.02541","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d48665dfa2226967116c8c29cf906f1a713141050b45599627026b43da5535b7","sha256:55e49a6747dfe5873c2b91745b4f3943516650a8f1adba109250e8612e2bb3c7"],"state_sha256":"59236bfb161176b0b6e4514e53bf053bd0114a6412bcdbeeaab62d2217c466fd"}