{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XW6PEDFWNMWJKW43KHNCCFKATD","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":"705999bcbe943aa7549b45f8bdba247dcdd9cfe8349e840064a3a90775ad3dcd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-12-02T05:22:17Z","title_canon_sha256":"2fd3856395ed07d89f75dfb8898a884bf3a9fc32858ab0299b3f1711ba322e0b"},"schema_version":"1.0","source":{"id":"1512.00581","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00581","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00581v1","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00581","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"XW6PEDFWNMWJ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XW6PEDFWNMWJKW43","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XW6PEDFW","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:641caafc20c84ed785ae3a882d9db97e1c259c81ebb48aadc919a61df98dbe49","target":"graph","created_at":"2026-05-18T01:25:25Z","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":"The Nakayama automorphism of a class of connected graded Artin-Schelter regular algebras is calculated explicitly.","authors_text":"J.-F. L\\\"u, J.J. Zhang, X.-F. Mao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-12-02T05:22:17Z","title":"Nakayama automorphism of a class of graded algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00581","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:f4e70c00e951c7ae3820ce36d6a77df821eeca1aab06e71f8173c150198c06ee","target":"record","created_at":"2026-05-18T01:25:25Z","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":"705999bcbe943aa7549b45f8bdba247dcdd9cfe8349e840064a3a90775ad3dcd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-12-02T05:22:17Z","title_canon_sha256":"2fd3856395ed07d89f75dfb8898a884bf3a9fc32858ab0299b3f1711ba322e0b"},"schema_version":"1.0","source":{"id":"1512.00581","kind":"arxiv","version":1}},"canonical_sha256":"bdbcf20cb66b2c955b9b51da21154098f125e7652e5c3fbf699fb6300aa5f10b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bdbcf20cb66b2c955b9b51da21154098f125e7652e5c3fbf699fb6300aa5f10b","first_computed_at":"2026-05-18T01:25:25.635043Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:25.635043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YBqOaAgdeGkaYyJT+XDCUIROgWucjGswzPlNalzGuw0gefj3pnwFooPREhyFRlqgUvAdGBQ4UVq2ATdm9r7JCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:25.635709Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.00581","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4e70c00e951c7ae3820ce36d6a77df821eeca1aab06e71f8173c150198c06ee","sha256:641caafc20c84ed785ae3a882d9db97e1c259c81ebb48aadc919a61df98dbe49"],"state_sha256":"49df30c51b12f0ea59857e350a99782be0ae92edf2a44667b9b8a3c0b020cf82"}