{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3UXG4ATRB3MEXCV6XNBOBZIMRV","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":"a58df088ffd59a9587c14ae0e00586017fc603df8966c977745ae453049a27a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-04-27T06:47:27Z","title_canon_sha256":"c9d10bb6f799d405409e918f012bc50d6b43095a8d2bd34bfa4312a77ff81737"},"schema_version":"1.0","source":{"id":"1304.7332","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.7332","created_at":"2026-05-18T01:24:44Z"},{"alias_kind":"arxiv_version","alias_value":"1304.7332v1","created_at":"2026-05-18T01:24:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7332","created_at":"2026-05-18T01:24:44Z"},{"alias_kind":"pith_short_12","alias_value":"3UXG4ATRB3ME","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3UXG4ATRB3MEXCV6","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3UXG4ATR","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:d6255e886f2e8dd12a49714c369e376826233d00df513a1dd31393835b675753","target":"graph","created_at":"2026-05-18T01:24:44Z","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":"Some interesting properties of almost Cohen-Macaulay rings are investigated and a Serre type property connected with this class of rings is studied.","authors_text":"Cristodor Ionescu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-04-27T06:47:27Z","title":"More properties of almost Cohen-Macaulay rings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7332","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":"sha256:899be7cbc041dc852cc5166ccbbba69cf40d1b63177c14e0e3d934350fd70cf8","target":"record","created_at":"2026-05-18T01:24:44Z","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":"a58df088ffd59a9587c14ae0e00586017fc603df8966c977745ae453049a27a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-04-27T06:47:27Z","title_canon_sha256":"c9d10bb6f799d405409e918f012bc50d6b43095a8d2bd34bfa4312a77ff81737"},"schema_version":"1.0","source":{"id":"1304.7332","kind":"arxiv","version":1}},"canonical_sha256":"dd2e6e02710ed84b8abebb42e0e50c8d58a6238e5ea5ab0cb41779d86f388a6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd2e6e02710ed84b8abebb42e0e50c8d58a6238e5ea5ab0cb41779d86f388a6c","first_computed_at":"2026-05-18T01:24:44.088999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:44.088999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8SLPlhaDtCjdHrrZlZqB8SvoYhEqZTdXVn3NqTbxix//4Sw4rO75sJQUjFpEvV4i7hmZI/3aS3YmNYfkCqzlCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:44.089394Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.7332","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:899be7cbc041dc852cc5166ccbbba69cf40d1b63177c14e0e3d934350fd70cf8","sha256:d6255e886f2e8dd12a49714c369e376826233d00df513a1dd31393835b675753"],"state_sha256":"ce9145d46cedbdcd97a0cf6e607fb2469efa2979881e1a410754bf7ba4b3d39b"}