{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2Y2O7GZVEEEF4XMLS5MV6YWGLZ","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":"f795301d7477c873ecf88aa69ebb7f560295743421b4110f8b0dbcec1c0909bd","cross_cats_sorted":["cs.LO","math.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CC","submitted_at":"2025-06-20T12:44:03Z","title_canon_sha256":"3f7b0380b317d13262df867bb01f891eb14faba821df6ab33def5b84744d93bd"},"schema_version":"1.0","source":{"id":"2506.16956","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.16956","created_at":"2026-05-20T01:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"2506.16956v2","created_at":"2026-05-20T01:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.16956","created_at":"2026-05-20T01:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"2Y2O7GZVEEEF","created_at":"2026-05-20T01:04:55Z"},{"alias_kind":"pith_short_16","alias_value":"2Y2O7GZVEEEF4XML","created_at":"2026-05-20T01:04:55Z"},{"alias_kind":"pith_short_8","alias_value":"2Y2O7GZV","created_at":"2026-05-20T01:04:55Z"}],"graph_snapshots":[{"event_id":"sha256:966132c543d0990b168da55685cfff20d4fb5f573f46c6758fdd649618227f86","target":"graph","created_at":"2026-05-20T01:04:55Z","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/2506.16956/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Atserias and M\\\"uller (JACM, 2020) proved that for every unsatisfiable CNF formula $\\varphi$, the formula $\\operatorname{Ref}(\\varphi)$, stating \"$\\varphi$ has small Resolution refutations\", does not have subexponential-size Resolution refutations. Conversely, when $\\varphi$ is satisfiable, Pudl\\'ak (TCS, 2003) showed how to construct a polynomial-size Resolution refutation of $\\operatorname{Ref}(\\varphi)$ given a satisfying assignment of $\\varphi$. A question that remained open is: do all short Resolution refutations of $\\operatorname{Ref}(\\varphi)$ explicitly leak a satisfying assignment of ","authors_text":"Albert Atserias, Erfan Khaniki, Noel Arteche, Susanna F. de Rezende","cross_cats":["cs.LO","math.LO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CC","submitted_at":"2025-06-20T12:44:03Z","title":"The Proof Analysis Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.16956","kind":"arxiv","version":2},"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:e6d1937a911de746a10e3f7ebe275ad3e696cfe08d5f8941d853e0173b9a9e69","target":"record","created_at":"2026-05-20T01:04:55Z","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":"f795301d7477c873ecf88aa69ebb7f560295743421b4110f8b0dbcec1c0909bd","cross_cats_sorted":["cs.LO","math.LO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CC","submitted_at":"2025-06-20T12:44:03Z","title_canon_sha256":"3f7b0380b317d13262df867bb01f891eb14faba821df6ab33def5b84744d93bd"},"schema_version":"1.0","source":{"id":"2506.16956","kind":"arxiv","version":2}},"canonical_sha256":"d634ef9b3521085e5d8b97595f62c65e5d5eb9c048215f049a64f5568bd20d24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d634ef9b3521085e5d8b97595f62c65e5d5eb9c048215f049a64f5568bd20d24","first_computed_at":"2026-05-20T01:04:55.237114Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T01:04:55.237114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4+v+VxlyuDZR8+KnpyhgnfL7dxj2CF8XIwcAGB2IfjLoDaj6ACEqW8Zh+m7vgCJG2qzS86aQ3iWGOmr/JyZtAw==","signature_status":"signed_v1","signed_at":"2026-05-20T01:04:55.238031Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.16956","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6d1937a911de746a10e3f7ebe275ad3e696cfe08d5f8941d853e0173b9a9e69","sha256:966132c543d0990b168da55685cfff20d4fb5f573f46c6758fdd649618227f86"],"state_sha256":"eb5c724ed36c8c20e06b9443b5b691b1698f07c0432b4eb4d583f8191ba0c059"}