{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:SZTSBBRRV2752R5N72KU4EORHR","short_pith_number":"pith:SZTSBBRR","canonical_record":{"source":{"id":"1812.03713","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-12-10T10:13:01Z","cross_cats_sorted":["math.AG","math.RA"],"title_canon_sha256":"05cf6254939b9bd9816db96cbcdaac21ef80e2c581cff4d4f6688bbcc3f8f61d","abstract_canon_sha256":"120443a6ad4440eab963c44120f3bf1651d8aaaa566e60b5ba5dca194d8c083a"},"schema_version":"1.0"},"canonical_sha256":"9667208631aebfdd47adfe954e11d13c5c082c09d98ba372f169437329592987","source":{"kind":"arxiv","id":"1812.03713","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.03713","created_at":"2026-05-17T23:58:44Z"},{"alias_kind":"arxiv_version","alias_value":"1812.03713v1","created_at":"2026-05-17T23:58:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.03713","created_at":"2026-05-17T23:58:44Z"},{"alias_kind":"pith_short_12","alias_value":"SZTSBBRRV275","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SZTSBBRRV2752R5N","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SZTSBBRR","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:SZTSBBRRV2752R5N72KU4EORHR","target":"record","payload":{"canonical_record":{"source":{"id":"1812.03713","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-12-10T10:13:01Z","cross_cats_sorted":["math.AG","math.RA"],"title_canon_sha256":"05cf6254939b9bd9816db96cbcdaac21ef80e2c581cff4d4f6688bbcc3f8f61d","abstract_canon_sha256":"120443a6ad4440eab963c44120f3bf1651d8aaaa566e60b5ba5dca194d8c083a"},"schema_version":"1.0"},"canonical_sha256":"9667208631aebfdd47adfe954e11d13c5c082c09d98ba372f169437329592987","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:44.082537Z","signature_b64":"cz9eiHb5XjShIeOkke+0HrjGN0iXEyIcPafESmgzlh0xiwxFGLuGeqDYRNvXQLft4yq+xN65Njskp2cngfb+Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9667208631aebfdd47adfe954e11d13c5c082c09d98ba372f169437329592987","last_reissued_at":"2026-05-17T23:58:44.082071Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:44.082071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.03713","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:58:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6gMWAi03Iwew+J7V224VnFQmcxrI22zsaluDWMhqiHe5qu9szCQ7hL40LKIpR1McU4+CVMEJMY9vA1KWPtVUDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T13:11:31.043024Z"},"content_sha256":"7bee3ebbe53395181f5113261a350f97e7d2b6355701c2049cdf2ac26a9e195b","schema_version":"1.0","event_id":"sha256:7bee3ebbe53395181f5113261a350f97e7d2b6355701c2049cdf2ac26a9e195b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:SZTSBBRRV2752R5N72KU4EORHR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$t$-local domains and valuation domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RA"],"primary_cat":"math.AC","authors_text":"Marco Fontana, Muhammad Zafrullah","submitted_at":"2018-12-10T10:13:01Z","abstract_excerpt":"In a valuation domain $(V,M)$ every nonzero finitely generated ideal $J$ is principal and so, in particular, $J=J^t$, hence the maximal ideal $M$ is a $t$-ideal. Therefore, the $t$-local domains (i.e., the local domains, with maximal ideal being a $t$-ideal) are \"cousins\" of valuation domains, but, as we will see in detail, not so close. Indeed, for instance, a localization of a $t$-local domain is not necessarily $t$-local, but of course a localization of a valuation domain is a valuation domain.\n  So it is natural to ask under what conditions is a $t$-local domain a valuation domain? The mai"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03713","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:58:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mjZQDIX6q/hhRYAuiJUPiOVG3gr0L2trFwiSST/dGhDeu+2mUY+adE+4hr+Mfp4qXpCJNU+6ytlIK9g6P1SSAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T13:11:31.043792Z"},"content_sha256":"e7d9c543104f038d202821c8acbf44721a38af6f65fa283a0cdd576e54e63c97","schema_version":"1.0","event_id":"sha256:e7d9c543104f038d202821c8acbf44721a38af6f65fa283a0cdd576e54e63c97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SZTSBBRRV2752R5N72KU4EORHR/bundle.json","state_url":"https://pith.science/pith/SZTSBBRRV2752R5N72KU4EORHR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SZTSBBRRV2752R5N72KU4EORHR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-10T13:11:31Z","links":{"resolver":"https://pith.science/pith/SZTSBBRRV2752R5N72KU4EORHR","bundle":"https://pith.science/pith/SZTSBBRRV2752R5N72KU4EORHR/bundle.json","state":"https://pith.science/pith/SZTSBBRRV2752R5N72KU4EORHR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SZTSBBRRV2752R5N72KU4EORHR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SZTSBBRRV2752R5N72KU4EORHR","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":"120443a6ad4440eab963c44120f3bf1651d8aaaa566e60b5ba5dca194d8c083a","cross_cats_sorted":["math.AG","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-12-10T10:13:01Z","title_canon_sha256":"05cf6254939b9bd9816db96cbcdaac21ef80e2c581cff4d4f6688bbcc3f8f61d"},"schema_version":"1.0","source":{"id":"1812.03713","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.03713","created_at":"2026-05-17T23:58:44Z"},{"alias_kind":"arxiv_version","alias_value":"1812.03713v1","created_at":"2026-05-17T23:58:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.03713","created_at":"2026-05-17T23:58:44Z"},{"alias_kind":"pith_short_12","alias_value":"SZTSBBRRV275","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SZTSBBRRV2752R5N","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SZTSBBRR","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:e7d9c543104f038d202821c8acbf44721a38af6f65fa283a0cdd576e54e63c97","target":"graph","created_at":"2026-05-17T23:58:44Z","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":"In a valuation domain $(V,M)$ every nonzero finitely generated ideal $J$ is principal and so, in particular, $J=J^t$, hence the maximal ideal $M$ is a $t$-ideal. Therefore, the $t$-local domains (i.e., the local domains, with maximal ideal being a $t$-ideal) are \"cousins\" of valuation domains, but, as we will see in detail, not so close. Indeed, for instance, a localization of a $t$-local domain is not necessarily $t$-local, but of course a localization of a valuation domain is a valuation domain.\n  So it is natural to ask under what conditions is a $t$-local domain a valuation domain? The mai","authors_text":"Marco Fontana, Muhammad Zafrullah","cross_cats":["math.AG","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-12-10T10:13:01Z","title":"$t$-local domains and valuation domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03713","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":"sha256:7bee3ebbe53395181f5113261a350f97e7d2b6355701c2049cdf2ac26a9e195b","target":"record","created_at":"2026-05-17T23:58:44Z","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":"120443a6ad4440eab963c44120f3bf1651d8aaaa566e60b5ba5dca194d8c083a","cross_cats_sorted":["math.AG","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-12-10T10:13:01Z","title_canon_sha256":"05cf6254939b9bd9816db96cbcdaac21ef80e2c581cff4d4f6688bbcc3f8f61d"},"schema_version":"1.0","source":{"id":"1812.03713","kind":"arxiv","version":1}},"canonical_sha256":"9667208631aebfdd47adfe954e11d13c5c082c09d98ba372f169437329592987","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9667208631aebfdd47adfe954e11d13c5c082c09d98ba372f169437329592987","first_computed_at":"2026-05-17T23:58:44.082071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:44.082071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cz9eiHb5XjShIeOkke+0HrjGN0iXEyIcPafESmgzlh0xiwxFGLuGeqDYRNvXQLft4yq+xN65Njskp2cngfb+Bw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:44.082537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.03713","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bee3ebbe53395181f5113261a350f97e7d2b6355701c2049cdf2ac26a9e195b","sha256:e7d9c543104f038d202821c8acbf44721a38af6f65fa283a0cdd576e54e63c97"],"state_sha256":"b75683cfd097610dfae1f33699a9e7292a6a33890d7cba0c6d53617e7b8e8241"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AC94uF3lkhtqfN94dvN7Z9G6CIK5Fy2bGGqReGHxXIZ+OVwXQ6eJGxd7gwsZPTaaz4w7fyDU4QbEJ7Of+9QXAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T13:11:31.048436Z","bundle_sha256":"0b57f3f204790b384c7a5f98a6a02f28a07aaf95b74f979974ead168dce82fa3"}}