{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:74TFTM4ONZWXZ4WGLJ7HXZ2A6G","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":"6bea9fda23ca41c93c256e04d966e10809ea7f5d8e07a7293ee43bb8efc329cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-07-09T15:31:40Z","title_canon_sha256":"e183cfab42784b016cf4d45da6a90770f583a16e492d0da16f08181a0e0c8b12"},"schema_version":"1.0","source":{"id":"1507.02556","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.02556","created_at":"2026-05-18T01:37:06Z"},{"alias_kind":"arxiv_version","alias_value":"1507.02556v1","created_at":"2026-05-18T01:37:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.02556","created_at":"2026-05-18T01:37:06Z"},{"alias_kind":"pith_short_12","alias_value":"74TFTM4ONZWX","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"74TFTM4ONZWXZ4WG","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"74TFTM4O","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:348546aa8b077e754ffb6fc079e009110b5a709ec87e5dac009c85850810d8e2","target":"graph","created_at":"2026-05-18T01:37:06Z","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":"There is given a characterization for the Rees algebras of parameters in a Gorenstein local ring to be almost Gorenstein graded rings. A characterization is also given for the Rees algebras of socle ideals of parameters. The latter one shows almost Gorenstein Rees algebras rather rarely exist for socle ideals, if the dimension of the base local ring is greater than two.","authors_text":"Ken-ichi Yoshida, Naoki Taniguchi, Naoyuki Matsuoka, Shiro Goto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-07-09T15:31:40Z","title":"The almost Gorenstein Rees algebras of parameters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.02556","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":"sha256:4c21dae4e8313bfe6f4c1b68884025921d29c879e5c08c8848a07d7dc06271e6","target":"record","created_at":"2026-05-18T01:37:06Z","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":"6bea9fda23ca41c93c256e04d966e10809ea7f5d8e07a7293ee43bb8efc329cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-07-09T15:31:40Z","title_canon_sha256":"e183cfab42784b016cf4d45da6a90770f583a16e492d0da16f08181a0e0c8b12"},"schema_version":"1.0","source":{"id":"1507.02556","kind":"arxiv","version":1}},"canonical_sha256":"ff2659b38e6e6d7cf2c65a7e7be740f18dd2b43462ae5f04c10557b14a9f1d42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff2659b38e6e6d7cf2c65a7e7be740f18dd2b43462ae5f04c10557b14a9f1d42","first_computed_at":"2026-05-18T01:37:06.381995Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:06.381995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oqOrFMT1NMw6BYAK0m17vlGvrfNx8GbzDfZvY4qVSBacE7/3bR0p4yZgOpSGjN0iq6MyudSuP+f4J4LmbjvWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:06.382583Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.02556","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c21dae4e8313bfe6f4c1b68884025921d29c879e5c08c8848a07d7dc06271e6","sha256:348546aa8b077e754ffb6fc079e009110b5a709ec87e5dac009c85850810d8e2"],"state_sha256":"7cc2412765db4a43b84a1d59044503947c60e5b2622ccee86a0df222de675e0c"}