{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7PKNKEY2NHPZUB64DZJUUCHDHD","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":"d96767257bf79e5482cfc2b10c8a1066c53320ff96ec998134ae850bbffb018f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-05-17T23:15:15Z","title_canon_sha256":"5680aaa0a7d745adefdf6b13e5b7599d3387adfebb4c15791aa36a798df530b9"},"schema_version":"1.0","source":{"id":"1405.4445","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4445","created_at":"2026-05-18T02:51:40Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4445v1","created_at":"2026-05-18T02:51:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4445","created_at":"2026-05-18T02:51:40Z"},{"alias_kind":"pith_short_12","alias_value":"7PKNKEY2NHPZ","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7PKNKEY2NHPZUB64","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7PKNKEY2","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:3f84af9dbf1914af7783ccac19178eca8a304bdf207749ffadc300f3f672bf32","target":"graph","created_at":"2026-05-18T02:51:40Z","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":"Roger Apery's seminal method for proving irrationality is \"turned on its head\" and taught to computers, enabling a one second redux of the original proof of zeta(3), and many new irrationality proofs of many new constants, alas, none of them is both famous and not-yet-proved-irrational.","authors_text":"Doron Zeilberger, Shalosh B. Ekhad","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-05-17T23:15:15Z","title":"Searching for Apery-Style Miracles [Using, Inter-Alia, the Amazing Almkvist-Zeilberger Algorithm]"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4445","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":"sha256:0ab317d25703b7912ae522ef4c817de86f27171d1929e0390c249fd6228f9470","target":"record","created_at":"2026-05-18T02:51:40Z","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":"d96767257bf79e5482cfc2b10c8a1066c53320ff96ec998134ae850bbffb018f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-05-17T23:15:15Z","title_canon_sha256":"5680aaa0a7d745adefdf6b13e5b7599d3387adfebb4c15791aa36a798df530b9"},"schema_version":"1.0","source":{"id":"1405.4445","kind":"arxiv","version":1}},"canonical_sha256":"fbd4d5131a69df9a07dc1e534a08e338d586c04f0543ea6b659860738279c806","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbd4d5131a69df9a07dc1e534a08e338d586c04f0543ea6b659860738279c806","first_computed_at":"2026-05-18T02:51:40.855885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:40.855885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uToRUjEWuycnnWY2d6DmedJp7VgLfYm6hglYPtn92wRj7ke1fypRykj0XoM/r9iiaUdDEPZE2X6W8xlKVPLoCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:40.856370Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.4445","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ab317d25703b7912ae522ef4c817de86f27171d1929e0390c249fd6228f9470","sha256:3f84af9dbf1914af7783ccac19178eca8a304bdf207749ffadc300f3f672bf32"],"state_sha256":"2e18e433ce7299d4971984dfb127dd4ad6a0093ad8dd86c84e536b064e0610c8"}