{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SIIHSV5HJH2PV7R3V4UFNXRT26","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":"4b236caa364d460b098cef3e77d3ec71cbb3f69065db7d74d254cd0dbcf90ca1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-05-04T16:24:38Z","title_canon_sha256":"46c2d33829fdc97972bfdbd22cf5459719383659c3bfe7435cbedbe2716063b4"},"schema_version":"1.0","source":{"id":"1305.0931","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0931","created_at":"2026-05-18T03:13:35Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0931v2","created_at":"2026-05-18T03:13:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0931","created_at":"2026-05-18T03:13:35Z"},{"alias_kind":"pith_short_12","alias_value":"SIIHSV5HJH2P","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SIIHSV5HJH2PV7R3","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SIIHSV5H","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:7c2286c4e690c0400981c0909d8427642626d0712e73e51bee837a1b0aa48009","target":"graph","created_at":"2026-05-18T03:13:35Z","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":"We give a purely combinatorial characterization of complete Stanley-Reisner rings having principally generated (equivalently, finitely generated) Cartier algebras.","authors_text":"Josep Alvarez Montaner, Kohji Yanagawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-05-04T16:24:38Z","title":"Addendum to \"Frobenius and Cartier algebras of Stanley-Reisner rings\" [J. Algebra 358 (2012) 162-177]"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0931","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":"sha256:23760287bc616e17e9683beced9b855b9453ea95aefe543ce34643cf62c8c686","target":"record","created_at":"2026-05-18T03:13:35Z","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":"4b236caa364d460b098cef3e77d3ec71cbb3f69065db7d74d254cd0dbcf90ca1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-05-04T16:24:38Z","title_canon_sha256":"46c2d33829fdc97972bfdbd22cf5459719383659c3bfe7435cbedbe2716063b4"},"schema_version":"1.0","source":{"id":"1305.0931","kind":"arxiv","version":2}},"canonical_sha256":"92107957a749f4fafe3baf2856de33d7b5c475e851f4e1a7ab7b1ac0bae31955","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92107957a749f4fafe3baf2856de33d7b5c475e851f4e1a7ab7b1ac0bae31955","first_computed_at":"2026-05-18T03:13:35.681671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:35.681671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/iro7BjpeRBRadAnybJ3dvavyN7YCqblox8Ysvn62Szl3km/ujkJYXeb4iBDskmIE/ihbm8vrPLL733XwkhEBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:35.682274Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0931","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23760287bc616e17e9683beced9b855b9453ea95aefe543ce34643cf62c8c686","sha256:7c2286c4e690c0400981c0909d8427642626d0712e73e51bee837a1b0aa48009"],"state_sha256":"ac7cc424fccb62cc52ccfdd1afbeba485d5d130a1bfa0b16716f2e50b9944495"}