{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OHMHSVJXJANWJWBGLF255OHNTC","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":"4424a1aeb2274393fc4db94427dceab149d18532d5e848f30623149a9075dfd0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-07-22T22:58:52Z","title_canon_sha256":"50c5c43fafbcf4687b3aeba6ff36af56b9aad559791edbc5a94cf3d57fdabb2f"},"schema_version":"1.0","source":{"id":"1107.4641","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4641","created_at":"2026-05-18T04:17:02Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4641v1","created_at":"2026-05-18T04:17:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4641","created_at":"2026-05-18T04:17:02Z"},{"alias_kind":"pith_short_12","alias_value":"OHMHSVJXJANW","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OHMHSVJXJANWJWBG","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OHMHSVJX","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:602b81c7225ed0264fd08ae8aae695811705571fde58603dbd0b142162f80a44","target":"graph","created_at":"2026-05-18T04:17:02Z","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"},"paper":{"abstract_excerpt":"In this note we exhibit a very simple proof of McNaughton Theorem, almost right out of the definitions, and at the same time we observe that this theorem does not depend of Chang's completeness theorem.","authors_text":"Eduardo J. Dubuc, Yuri Poveda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-07-22T22:58:52Z","title":"A Simple Proof of McNaughton Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4641","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:d0594187f2d689e247934d06fd9742100b04c7abb08538d9ac5c0b34c89b06bf","target":"record","created_at":"2026-05-18T04:17:02Z","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":"4424a1aeb2274393fc4db94427dceab149d18532d5e848f30623149a9075dfd0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-07-22T22:58:52Z","title_canon_sha256":"50c5c43fafbcf4687b3aeba6ff36af56b9aad559791edbc5a94cf3d57fdabb2f"},"schema_version":"1.0","source":{"id":"1107.4641","kind":"arxiv","version":1}},"canonical_sha256":"71d8795537481b64d8265975deb8ed98aa4af7f15a5d092e539809ebbbc57215","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71d8795537481b64d8265975deb8ed98aa4af7f15a5d092e539809ebbbc57215","first_computed_at":"2026-05-18T04:17:02.125090Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:02.125090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YgoYHOnhACZdu3voZE7gvPZUjq5gPKz7MfAyhMGJc9Px6KdAzvMCZuchEr9am5gkdcEjJ/OeqDi/S+SNfL1iCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:02.125580Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4641","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0594187f2d689e247934d06fd9742100b04c7abb08538d9ac5c0b34c89b06bf","sha256:602b81c7225ed0264fd08ae8aae695811705571fde58603dbd0b142162f80a44"],"state_sha256":"34af45c1aea2b52e875bcd7bdda0531521adc009e64157b2ab7c59c65106013d"}