{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:5UGATQAB45ZDHWBLMKOUGXE24O","short_pith_number":"pith:5UGATQAB","canonical_record":{"source":{"id":"1209.2991","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2012-09-13T19:01:08Z","cross_cats_sorted":[],"title_canon_sha256":"faf467ed9ae02605300fd8fd5c6bcb3f36bf9ee55322583b737e50dbb420d59f","abstract_canon_sha256":"2df5f6602212aa361551ba81ac6c831a71cfee37bec683d06fdb87455c1bdafe"},"schema_version":"1.0"},"canonical_sha256":"ed0c09c001e77233d82b629d435c9ae3bd7aed05255665bf2fc9015a08365b1f","source":{"kind":"arxiv","id":"1209.2991","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2991","created_at":"2026-05-18T03:45:40Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2991v1","created_at":"2026-05-18T03:45:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2991","created_at":"2026-05-18T03:45:40Z"},{"alias_kind":"pith_short_12","alias_value":"5UGATQAB45ZD","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"5UGATQAB45ZDHWBL","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"5UGATQAB","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:5UGATQAB45ZDHWBLMKOUGXE24O","target":"record","payload":{"canonical_record":{"source":{"id":"1209.2991","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2012-09-13T19:01:08Z","cross_cats_sorted":[],"title_canon_sha256":"faf467ed9ae02605300fd8fd5c6bcb3f36bf9ee55322583b737e50dbb420d59f","abstract_canon_sha256":"2df5f6602212aa361551ba81ac6c831a71cfee37bec683d06fdb87455c1bdafe"},"schema_version":"1.0"},"canonical_sha256":"ed0c09c001e77233d82b629d435c9ae3bd7aed05255665bf2fc9015a08365b1f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:40.454262Z","signature_b64":"IUpE+hTDNrPmU2U2jVvirIY47u739hWNrrA2fJ8JzKgWVGQvcLGj1G/1wTMq3mxVPgwzq59KOqveIVjjrXloBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed0c09c001e77233d82b629d435c9ae3bd7aed05255665bf2fc9015a08365b1f","last_reissued_at":"2026-05-18T03:45:40.453640Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:40.453640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.2991","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":"2026-05-18T03:45:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OA0/tyVIR3zgJkz0nJiRAbw6xxUtuP16g2pFqJwN6qG4AVeEfgzz1PzD6GXds0szFe844vpz6GhebSHDTjFMAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:34:24.866084Z"},"content_sha256":"66287d244693ac144748d2b9820ce3319f87d9527982829309826aa6bcf58256","schema_version":"1.0","event_id":"sha256:66287d244693ac144748d2b9820ce3319f87d9527982829309826aa6bcf58256"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:5UGATQAB45ZDHWBLMKOUGXE24O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One-dimensional bad Noetherian domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Bruce Olberding","submitted_at":"2012-09-13T19:01:08Z","abstract_excerpt":"Local Noetherian domains arising as local rings of points of varieties or in the context of algebraic number theory are analytically unramified, meaning their completions have no nontrivial nilpotent elements. However, looking elsewhere, many sources of analytically ramified local Noetherian domains have been exhibited over the last seventy five years. We give a unified approach to a number of such examples by describing classes of DVRs which occur as the normalization of an analytically ramified local Noetherian domain, as well as some that do not occur as such a normalization. We parameteriz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2991","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":"2026-05-18T03:45:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XpAxvG77WNG8eIXX9i7kp2m9C4XRv/fr9jKetUveOtghTsTVBhLERlATyu6mJvkTCNEAfkqBFIK/PRnzQjyEAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:34:24.866683Z"},"content_sha256":"de21e31e365e14180b17105b1a77aafe7b9f84c764d251e9591ba343391fad43","schema_version":"1.0","event_id":"sha256:de21e31e365e14180b17105b1a77aafe7b9f84c764d251e9591ba343391fad43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5UGATQAB45ZDHWBLMKOUGXE24O/bundle.json","state_url":"https://pith.science/pith/5UGATQAB45ZDHWBLMKOUGXE24O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5UGATQAB45ZDHWBLMKOUGXE24O/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":"2026-05-31T06:34:24Z","links":{"resolver":"https://pith.science/pith/5UGATQAB45ZDHWBLMKOUGXE24O","bundle":"https://pith.science/pith/5UGATQAB45ZDHWBLMKOUGXE24O/bundle.json","state":"https://pith.science/pith/5UGATQAB45ZDHWBLMKOUGXE24O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5UGATQAB45ZDHWBLMKOUGXE24O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5UGATQAB45ZDHWBLMKOUGXE24O","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":"2df5f6602212aa361551ba81ac6c831a71cfee37bec683d06fdb87455c1bdafe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2012-09-13T19:01:08Z","title_canon_sha256":"faf467ed9ae02605300fd8fd5c6bcb3f36bf9ee55322583b737e50dbb420d59f"},"schema_version":"1.0","source":{"id":"1209.2991","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2991","created_at":"2026-05-18T03:45:40Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2991v1","created_at":"2026-05-18T03:45:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2991","created_at":"2026-05-18T03:45:40Z"},{"alias_kind":"pith_short_12","alias_value":"5UGATQAB45ZD","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"5UGATQAB45ZDHWBL","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"5UGATQAB","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:de21e31e365e14180b17105b1a77aafe7b9f84c764d251e9591ba343391fad43","target":"graph","created_at":"2026-05-18T03:45:40Z","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":"Local Noetherian domains arising as local rings of points of varieties or in the context of algebraic number theory are analytically unramified, meaning their completions have no nontrivial nilpotent elements. However, looking elsewhere, many sources of analytically ramified local Noetherian domains have been exhibited over the last seventy five years. We give a unified approach to a number of such examples by describing classes of DVRs which occur as the normalization of an analytically ramified local Noetherian domain, as well as some that do not occur as such a normalization. We parameteriz","authors_text":"Bruce Olberding","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2012-09-13T19:01:08Z","title":"One-dimensional bad Noetherian domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2991","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":"sha256:66287d244693ac144748d2b9820ce3319f87d9527982829309826aa6bcf58256","target":"record","created_at":"2026-05-18T03:45:40Z","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":"2df5f6602212aa361551ba81ac6c831a71cfee37bec683d06fdb87455c1bdafe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2012-09-13T19:01:08Z","title_canon_sha256":"faf467ed9ae02605300fd8fd5c6bcb3f36bf9ee55322583b737e50dbb420d59f"},"schema_version":"1.0","source":{"id":"1209.2991","kind":"arxiv","version":1}},"canonical_sha256":"ed0c09c001e77233d82b629d435c9ae3bd7aed05255665bf2fc9015a08365b1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed0c09c001e77233d82b629d435c9ae3bd7aed05255665bf2fc9015a08365b1f","first_computed_at":"2026-05-18T03:45:40.453640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:40.453640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IUpE+hTDNrPmU2U2jVvirIY47u739hWNrrA2fJ8JzKgWVGQvcLGj1G/1wTMq3mxVPgwzq59KOqveIVjjrXloBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:40.454262Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.2991","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66287d244693ac144748d2b9820ce3319f87d9527982829309826aa6bcf58256","sha256:de21e31e365e14180b17105b1a77aafe7b9f84c764d251e9591ba343391fad43"],"state_sha256":"9c96bce901a74818daf3ca26e85f136d568dacc366ef2a92ea23ef6b66b955ee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7wHABMBB+Qgn96W3EB3jQEzE0YkcwYXKpJEnPIs1JSkwIghx27Nr2/l/t0bWH07C3GehH7GwGisMh2ojS6kDDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T06:34:24.869911Z","bundle_sha256":"23f35d095929fa60895d7b76a4240a361ff153844418b3de51a56b53a1c6a03f"}}