{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XYGIBMUDI4YUTL4B5QLARBLYOF","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":"90307c96b40de55c81302b868e226fbeb97dcf7ed5af84c87a70a43af1173aef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-10-05T20:33:11Z","title_canon_sha256":"f4e4b27c3b04bdfdb3fd8942a13f19d7af108218beb06bd53a15073705692259"},"schema_version":"1.0","source":{"id":"1410.1210","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.1210","created_at":"2026-05-18T02:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"1410.1210v2","created_at":"2026-05-18T02:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1210","created_at":"2026-05-18T02:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"XYGIBMUDI4YU","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XYGIBMUDI4YUTL4B","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XYGIBMUD","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:9c4fff55f202a94f444b00898a316a84a893ac2cdbb17188dc096cf3b217b1e0","target":"graph","created_at":"2026-05-18T02:25:26Z","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":"One studies the structure of the Rees algebra of an almost complete intersection monomial ideal of finite co-length in a polynomial ring over a field, assuming that the least pure powers of the variables contained in the ideal have the same degree. It is shown that the Rees algebra has a natural quasi-homogeneous structure and its presentation ideal is generated by explicit Sylvester forms. A consequence of these results is a proof that the Rees algebra is almost Cohen--Macaulay, thus answering affirmatively an important case of a conjecture of W. Vasconcelos.","authors_text":"Aron Simis, Ricardo Burity, Stefan Tohaneanu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-10-05T20:33:11Z","title":"On a conjecture of Vasconcelos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1210","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":"sha256:887b34f4afd4cc26d49dd48e9b1ed51245f9c83593a964806f776f99068d06e2","target":"record","created_at":"2026-05-18T02:25:26Z","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":"90307c96b40de55c81302b868e226fbeb97dcf7ed5af84c87a70a43af1173aef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-10-05T20:33:11Z","title_canon_sha256":"f4e4b27c3b04bdfdb3fd8942a13f19d7af108218beb06bd53a15073705692259"},"schema_version":"1.0","source":{"id":"1410.1210","kind":"arxiv","version":2}},"canonical_sha256":"be0c80b283473149af81ec16088578717ba76c2c7aa40ddce1b4af65e8c6b741","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be0c80b283473149af81ec16088578717ba76c2c7aa40ddce1b4af65e8c6b741","first_computed_at":"2026-05-18T02:25:26.295124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:26.295124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L65BmBaN30gNcN9s/nUxRwPRZ+P17JxKd2pYvGcY6riVcLDbDU2dYAwOSDQ88jqlICLCpEUfmCCAhUyZAJyoCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:26.295584Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.1210","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:887b34f4afd4cc26d49dd48e9b1ed51245f9c83593a964806f776f99068d06e2","sha256:9c4fff55f202a94f444b00898a316a84a893ac2cdbb17188dc096cf3b217b1e0"],"state_sha256":"f6201056d2d7bf0933b4a1a12352c6eefcc49738561d98d7b5b8f92561aa9590"}