{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:5D234G4S2SDP4LMMPGPKAKN6UC","short_pith_number":"pith:5D234G4S","canonical_record":{"source":{"id":"1208.4833","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.RA","submitted_at":"2012-08-23T19:27:07Z","cross_cats_sorted":[],"title_canon_sha256":"abf3cda5dfccdc56226f4e3f6a5506861709e811ebc9da2af6d39662a187485a","abstract_canon_sha256":"c2d804a02fdd51bd89bdfacd3fe0f438e43de96e9d7a94c59e5c98ab280f44f4"},"schema_version":"1.0"},"canonical_sha256":"e8f5be1b92d486fe2d8c799ea029bea0ada24b05ec569412c98ce04b3975e243","source":{"kind":"arxiv","id":"1208.4833","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4833","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4833v1","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4833","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"pith_short_12","alias_value":"5D234G4S2SDP","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5D234G4S2SDP4LMM","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5D234G4S","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:5D234G4S2SDP4LMMPGPKAKN6UC","target":"record","payload":{"canonical_record":{"source":{"id":"1208.4833","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.RA","submitted_at":"2012-08-23T19:27:07Z","cross_cats_sorted":[],"title_canon_sha256":"abf3cda5dfccdc56226f4e3f6a5506861709e811ebc9da2af6d39662a187485a","abstract_canon_sha256":"c2d804a02fdd51bd89bdfacd3fe0f438e43de96e9d7a94c59e5c98ab280f44f4"},"schema_version":"1.0"},"canonical_sha256":"e8f5be1b92d486fe2d8c799ea029bea0ada24b05ec569412c98ce04b3975e243","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:12.572485Z","signature_b64":"YmiK10wtULjj/49LCBfRJPzNZHNOZX2oxlwxcotai0DVsygTS9b1qs5VjuT0nggTivv37fKO3K4DMcXVUUovAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8f5be1b92d486fe2d8c799ea029bea0ada24b05ec569412c98ce04b3975e243","last_reissued_at":"2026-05-18T03:48:12.571833Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:12.571833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.4833","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":"2026-05-18T03:48:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gcaaCsGDmKfyGaddgkjsG3qXT2UCyLvqeM+tvnhx63uacs0g2s2w0RE0VBUf1ahbLAbWrIHcYb9/BTnnR6yyBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:43:48.500898Z"},"content_sha256":"3db6734a4368231bcf767fd85600c090a47b5e1bfbdfa757ce1bfa647ada06fd","schema_version":"1.0","event_id":"sha256:3db6734a4368231bcf767fd85600c090a47b5e1bfbdfa757ce1bfa647ada06fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:5D234G4S2SDP4LMMPGPKAKN6UC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of factorial generalized down-up algebras","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Samuel A. Lopes, St\\'ephane Launois","submitted_at":"2012-08-23T19:27:07Z","abstract_excerpt":"We determine when a generalized down-up algebra is a Noetherian unique factorisation domain or a Noetherian unique factorisation ring."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4833","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":"2026-05-18T03:48:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j47KY6hMqYDfQpRPKmqkB19gOtqusIW5qdngxsEDE4HWJMKNlk4j9k7NBlVGiQze75uvNiiiul0/dvsSgf1GBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:43:48.501237Z"},"content_sha256":"4af59c4d1835451c85e76392920950eeb74f64f2a5bae8b12b156eeb3b9c7934","schema_version":"1.0","event_id":"sha256:4af59c4d1835451c85e76392920950eeb74f64f2a5bae8b12b156eeb3b9c7934"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5D234G4S2SDP4LMMPGPKAKN6UC/bundle.json","state_url":"https://pith.science/pith/5D234G4S2SDP4LMMPGPKAKN6UC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5D234G4S2SDP4LMMPGPKAKN6UC/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":"2026-05-28T08:43:48Z","links":{"resolver":"https://pith.science/pith/5D234G4S2SDP4LMMPGPKAKN6UC","bundle":"https://pith.science/pith/5D234G4S2SDP4LMMPGPKAKN6UC/bundle.json","state":"https://pith.science/pith/5D234G4S2SDP4LMMPGPKAKN6UC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5D234G4S2SDP4LMMPGPKAKN6UC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5D234G4S2SDP4LMMPGPKAKN6UC","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":"c2d804a02fdd51bd89bdfacd3fe0f438e43de96e9d7a94c59e5c98ab280f44f4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.RA","submitted_at":"2012-08-23T19:27:07Z","title_canon_sha256":"abf3cda5dfccdc56226f4e3f6a5506861709e811ebc9da2af6d39662a187485a"},"schema_version":"1.0","source":{"id":"1208.4833","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4833","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4833v1","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4833","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"pith_short_12","alias_value":"5D234G4S2SDP","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5D234G4S2SDP4LMM","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5D234G4S","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:4af59c4d1835451c85e76392920950eeb74f64f2a5bae8b12b156eeb3b9c7934","target":"graph","created_at":"2026-05-18T03:48:12Z","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":"We determine when a generalized down-up algebra is a Noetherian unique factorisation domain or a Noetherian unique factorisation ring.","authors_text":"Samuel A. Lopes, St\\'ephane Launois","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.RA","submitted_at":"2012-08-23T19:27:07Z","title":"Classification of factorial generalized down-up algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4833","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":"sha256:3db6734a4368231bcf767fd85600c090a47b5e1bfbdfa757ce1bfa647ada06fd","target":"record","created_at":"2026-05-18T03:48:12Z","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":"c2d804a02fdd51bd89bdfacd3fe0f438e43de96e9d7a94c59e5c98ab280f44f4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.RA","submitted_at":"2012-08-23T19:27:07Z","title_canon_sha256":"abf3cda5dfccdc56226f4e3f6a5506861709e811ebc9da2af6d39662a187485a"},"schema_version":"1.0","source":{"id":"1208.4833","kind":"arxiv","version":1}},"canonical_sha256":"e8f5be1b92d486fe2d8c799ea029bea0ada24b05ec569412c98ce04b3975e243","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8f5be1b92d486fe2d8c799ea029bea0ada24b05ec569412c98ce04b3975e243","first_computed_at":"2026-05-18T03:48:12.571833Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:12.571833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YmiK10wtULjj/49LCBfRJPzNZHNOZX2oxlwxcotai0DVsygTS9b1qs5VjuT0nggTivv37fKO3K4DMcXVUUovAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:12.572485Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.4833","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3db6734a4368231bcf767fd85600c090a47b5e1bfbdfa757ce1bfa647ada06fd","sha256:4af59c4d1835451c85e76392920950eeb74f64f2a5bae8b12b156eeb3b9c7934"],"state_sha256":"42e3ddf1e7b21777c91e26f7714d48e5999c3e8bfc689a795a4087a3c3ec1492"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8d7ELPQo7dOxJlVA5auR6JNSjyq2rbhU2ya7ahz5UUxPqiYzS2m55jWRLmjziW2HdmQEGBxO9coRfc2z1rMpAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T08:43:48.503269Z","bundle_sha256":"471ade00a97a8a95805f8563f754b399a59bc3e9f1e7e5d333d4a94b05012ea8"}}