{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ZZFTNEXURTIPGPSZ52H2ORQRML","short_pith_number":"pith:ZZFTNEXU","canonical_record":{"source":{"id":"2603.19329","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SE","submitted_at":"2026-03-18T18:42:04Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"0ddd3c515622aa6c4bf3f8a3120ca536a7a58a77dbcf496aa0bf9d184991e5dc","abstract_canon_sha256":"50eecac15f1924e85b59bf2b08f5b369e98aca53102b7fa15e819bb639f87be7"},"schema_version":"1.0"},"canonical_sha256":"ce4b3692f48cd0f33e59ee8fa7461162d902aeb92c9d6859f24c0d4452fa8eb8","source":{"kind":"arxiv","id":"2603.19329","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.19329","created_at":"2026-08-11T02:18:56Z"},{"alias_kind":"arxiv_version","alias_value":"2603.19329v3","created_at":"2026-08-11T02:18:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.19329","created_at":"2026-08-11T02:18:56Z"},{"alias_kind":"pith_short_12","alias_value":"ZZFTNEXURTIP","created_at":"2026-08-11T02:18:56Z"},{"alias_kind":"pith_short_16","alias_value":"ZZFTNEXURTIPGPSZ","created_at":"2026-08-11T02:18:56Z"},{"alias_kind":"pith_short_8","alias_value":"ZZFTNEXU","created_at":"2026-08-11T02:18:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ZZFTNEXURTIPGPSZ52H2ORQRML","target":"record","payload":{"canonical_record":{"source":{"id":"2603.19329","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SE","submitted_at":"2026-03-18T18:42:04Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"0ddd3c515622aa6c4bf3f8a3120ca536a7a58a77dbcf496aa0bf9d184991e5dc","abstract_canon_sha256":"50eecac15f1924e85b59bf2b08f5b369e98aca53102b7fa15e819bb639f87be7"},"schema_version":"1.0"},"canonical_sha256":"ce4b3692f48cd0f33e59ee8fa7461162d902aeb92c9d6859f24c0d4452fa8eb8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-11T02:18:56.557106Z","signature_b64":"V3Tjek2RGE8a6x48oqZeVGr90fme7P76qZvHX9sxJHfW0kc2BL8wa9ndKgaPEMfToqP/DoUqYKr69vHsw0SbDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce4b3692f48cd0f33e59ee8fa7461162d902aeb92c9d6859f24c0d4452fa8eb8","last_reissued_at":"2026-08-11T02:18:56.555274Z","signature_status":"signed_v1","first_computed_at":"2026-08-11T02:18:56.555274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.19329","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-11T02:18:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"90nzall3kUiyYSiJ0VL0qP/CCqlFPcJyGag3zMZlztQzSqNOZ5ztqKDx+iUZparKUj2qf82nj3rCQqR7m11oDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T13:07:25.058890Z"},"content_sha256":"afa1955c4cedd83ea46340f27d64ebcbbc3dc2f0482a5d96f9f45f5f2b6f6508","schema_version":"1.0","event_id":"sha256:afa1955c4cedd83ea46340f27d64ebcbbc3dc2f0482a5d96f9f45f5f2b6f6508"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ZZFTNEXURTIPGPSZ52H2ORQRML","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Goedel-Code-Prover: Hierarchical Proof Search for Open State-of-the-Art Code Verification","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.SE","authors_text":"Aarti Gupta, Andrew Zhao, Chi Jin, Deyuan He, Haoyu Zhao, Kaiyu Yang, Shange Tang, Zenan Li, Zhendong Su, Ziran Yang","submitted_at":"2026-03-18T18:42:04Z","abstract_excerpt":"Large language models (LLMs) can generate plausible code but offer limited guarantees of correctness. Formally verifying that implementations satisfy specifications requires constructing machine-checkable proofs, a task that remains beyond current automation. We propose a hierarchical proof search framework for automated code verification in Lean~4 that decomposes complex verification goals into structurally simpler subgoals before attempting tactic-level proving. Central to our approach is a principled decomposition score that combines constructive justification with structural effectiveness."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.19329","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.19329/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-11T02:18:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jgWtFhXOX+AzCckEMX2vcy+mtkyGQwafoZuRENTRRN4r/nlKyt8RUbW+7FwPQqXt5k3SRGA1I2rqK8U+OdMICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T13:07:25.059597Z"},"content_sha256":"cb22d528d2b34c863159dc8eb69b2526235050103569a09b47e2d7f4ce3ea3f8","schema_version":"1.0","event_id":"sha256:cb22d528d2b34c863159dc8eb69b2526235050103569a09b47e2d7f4ce3ea3f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZZFTNEXURTIPGPSZ52H2ORQRML/bundle.json","state_url":"https://pith.science/pith/ZZFTNEXURTIPGPSZ52H2ORQRML/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZZFTNEXURTIPGPSZ52H2ORQRML/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-14T13:07:25Z","links":{"resolver":"https://pith.science/pith/ZZFTNEXURTIPGPSZ52H2ORQRML","bundle":"https://pith.science/pith/ZZFTNEXURTIPGPSZ52H2ORQRML/bundle.json","state":"https://pith.science/pith/ZZFTNEXURTIPGPSZ52H2ORQRML/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZZFTNEXURTIPGPSZ52H2ORQRML/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ZZFTNEXURTIPGPSZ52H2ORQRML","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":"50eecac15f1924e85b59bf2b08f5b369e98aca53102b7fa15e819bb639f87be7","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SE","submitted_at":"2026-03-18T18:42:04Z","title_canon_sha256":"0ddd3c515622aa6c4bf3f8a3120ca536a7a58a77dbcf496aa0bf9d184991e5dc"},"schema_version":"1.0","source":{"id":"2603.19329","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.19329","created_at":"2026-08-11T02:18:56Z"},{"alias_kind":"arxiv_version","alias_value":"2603.19329v3","created_at":"2026-08-11T02:18:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.19329","created_at":"2026-08-11T02:18:56Z"},{"alias_kind":"pith_short_12","alias_value":"ZZFTNEXURTIP","created_at":"2026-08-11T02:18:56Z"},{"alias_kind":"pith_short_16","alias_value":"ZZFTNEXURTIPGPSZ","created_at":"2026-08-11T02:18:56Z"},{"alias_kind":"pith_short_8","alias_value":"ZZFTNEXU","created_at":"2026-08-11T02:18:56Z"}],"graph_snapshots":[{"event_id":"sha256:cb22d528d2b34c863159dc8eb69b2526235050103569a09b47e2d7f4ce3ea3f8","target":"graph","created_at":"2026-08-11T02:18:56Z","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/2603.19329/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Large language models (LLMs) can generate plausible code but offer limited guarantees of correctness. Formally verifying that implementations satisfy specifications requires constructing machine-checkable proofs, a task that remains beyond current automation. We propose a hierarchical proof search framework for automated code verification in Lean~4 that decomposes complex verification goals into structurally simpler subgoals before attempting tactic-level proving. Central to our approach is a principled decomposition score that combines constructive justification with structural effectiveness.","authors_text":"Aarti Gupta, Andrew Zhao, Chi Jin, Deyuan He, Haoyu Zhao, Kaiyu Yang, Shange Tang, Zenan Li, Zhendong Su, Ziran Yang","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SE","submitted_at":"2026-03-18T18:42:04Z","title":"Goedel-Code-Prover: Hierarchical Proof Search for Open State-of-the-Art Code Verification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.19329","kind":"arxiv","version":3},"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:afa1955c4cedd83ea46340f27d64ebcbbc3dc2f0482a5d96f9f45f5f2b6f6508","target":"record","created_at":"2026-08-11T02:18:56Z","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":"50eecac15f1924e85b59bf2b08f5b369e98aca53102b7fa15e819bb639f87be7","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SE","submitted_at":"2026-03-18T18:42:04Z","title_canon_sha256":"0ddd3c515622aa6c4bf3f8a3120ca536a7a58a77dbcf496aa0bf9d184991e5dc"},"schema_version":"1.0","source":{"id":"2603.19329","kind":"arxiv","version":3}},"canonical_sha256":"ce4b3692f48cd0f33e59ee8fa7461162d902aeb92c9d6859f24c0d4452fa8eb8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce4b3692f48cd0f33e59ee8fa7461162d902aeb92c9d6859f24c0d4452fa8eb8","first_computed_at":"2026-08-11T02:18:56.555274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-11T02:18:56.555274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V3Tjek2RGE8a6x48oqZeVGr90fme7P76qZvHX9sxJHfW0kc2BL8wa9ndKgaPEMfToqP/DoUqYKr69vHsw0SbDg==","signature_status":"signed_v1","signed_at":"2026-08-11T02:18:56.557106Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.19329","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afa1955c4cedd83ea46340f27d64ebcbbc3dc2f0482a5d96f9f45f5f2b6f6508","sha256:cb22d528d2b34c863159dc8eb69b2526235050103569a09b47e2d7f4ce3ea3f8"],"state_sha256":"acc2645b348fc382e53902632c9eea6ed232a6655a0bf4c6f418b5016429b110"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ldf3YZXf4PLC7ww1BYjG3r1xPIDbY1jhPJrF0DibtnkTr/MjyoQ6awWmCVtlefbBXzaHm5bGf0Odt16GqCMpAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T13:07:25.067506Z","bundle_sha256":"b9707698306b06f62894b2ba51f33c42aa3a2f25ce5fb7acfcddfec9679a5cd6"}}