{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:B2VT44CZVQ2DOMOVOJCGFINRES","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":"c111fa0442e44cd476d5fbc7d1006f211ee975b3866ea882795e231e1046bb4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-03-17T18:32:16Z","title_canon_sha256":"730a969fcfec279605e16905b87029393fab2b077d742fc6675f47bc6f6a92bf"},"schema_version":"1.0","source":{"id":"1403.4200","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4200","created_at":"2026-05-18T02:56:12Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4200v1","created_at":"2026-05-18T02:56:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4200","created_at":"2026-05-18T02:56:12Z"},{"alias_kind":"pith_short_12","alias_value":"B2VT44CZVQ2D","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"B2VT44CZVQ2DOMOV","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"B2VT44CZ","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:b1ea9045a0a4cdd57b1ad174910dfa9eb03e5155c89b9d3119db5cc516f11194","target":"graph","created_at":"2026-05-18T02:56:12Z","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":"A family of quotient rings of the Rees algebra associated to a commutative ring is studied. This family generalizes both the classical concept of idealization by Nagata and a more recent concept, the amalgamated duplication of a ring. It is shown that several properties of the rings of this family do not depend on the particular member.","authors_text":"Francesco Strazzanti, Marco D'Anna, Valentina Barucci","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-03-17T18:32:16Z","title":"A family of quotients of the Rees algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4200","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":"sha256:6cfb8807bf2c62e391ab90fd36f2c17065c06ecb80c701efe997f67872b0c525","target":"record","created_at":"2026-05-18T02:56:12Z","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":"c111fa0442e44cd476d5fbc7d1006f211ee975b3866ea882795e231e1046bb4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-03-17T18:32:16Z","title_canon_sha256":"730a969fcfec279605e16905b87029393fab2b077d742fc6675f47bc6f6a92bf"},"schema_version":"1.0","source":{"id":"1403.4200","kind":"arxiv","version":1}},"canonical_sha256":"0eab3e7059ac343731d5724462a1b124ad00503e09133f74cb5d8bac6c07cedc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0eab3e7059ac343731d5724462a1b124ad00503e09133f74cb5d8bac6c07cedc","first_computed_at":"2026-05-18T02:56:12.030355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:12.030355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b6zRV3f2Xem6oz3OnGt39n20aoF/XhPYbw9SJ/I3wULCwHXQE4Vig7wI0L89fj9pXPQtO5wouvMI2gFg+HluDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:12.030716Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.4200","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cfb8807bf2c62e391ab90fd36f2c17065c06ecb80c701efe997f67872b0c525","sha256:b1ea9045a0a4cdd57b1ad174910dfa9eb03e5155c89b9d3119db5cc516f11194"],"state_sha256":"ca71b741df66a57f57756fe9d124e3954971271e74d53194d85eda32baa3cdde"}