{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:WMBRFXIPMKVQNX2NGIGHJYN6RD","short_pith_number":"pith:WMBRFXIP","canonical_record":{"source":{"id":"math/0008055","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2000-08-07T13:07:37Z","cross_cats_sorted":[],"title_canon_sha256":"938d6637f3984d23384030ca879fcf86f60f711c0da42121841dd62d510ddf83","abstract_canon_sha256":"89d70579d6e432516ccb618eb9058616ae97c396254df01edda5be22726cc709"},"schema_version":"1.0"},"canonical_sha256":"b30312dd0f62ab06df4d320c74e1be88ee3ace70b6ed64e540a2fba644062347","source":{"kind":"arxiv","id":"math/0008055","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0008055","created_at":"2026-07-04T16:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"math/0008055v2","created_at":"2026-07-04T16:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0008055","created_at":"2026-07-04T16:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"WMBRFXIPMKVQ","created_at":"2026-07-04T16:21:13Z"},{"alias_kind":"pith_short_16","alias_value":"WMBRFXIPMKVQNX2N","created_at":"2026-07-04T16:21:13Z"},{"alias_kind":"pith_short_8","alias_value":"WMBRFXIP","created_at":"2026-07-04T16:21:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:WMBRFXIPMKVQNX2NGIGHJYN6RD","target":"record","payload":{"canonical_record":{"source":{"id":"math/0008055","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2000-08-07T13:07:37Z","cross_cats_sorted":[],"title_canon_sha256":"938d6637f3984d23384030ca879fcf86f60f711c0da42121841dd62d510ddf83","abstract_canon_sha256":"89d70579d6e432516ccb618eb9058616ae97c396254df01edda5be22726cc709"},"schema_version":"1.0"},"canonical_sha256":"b30312dd0f62ab06df4d320c74e1be88ee3ace70b6ed64e540a2fba644062347","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:21:13.697256Z","signature_b64":"wV7rMBDkHHgphc2Qexn/8Pr+kkS8Kcs70MsnEBATp5GuhBHxafe9ppRYYuWDk/4rEgkJYvlWNZsFTK7Ar4LPCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b30312dd0f62ab06df4d320c74e1be88ee3ace70b6ed64e540a2fba644062347","last_reissued_at":"2026-07-04T16:21:13.696789Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:21:13.696789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0008055","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:21:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fTYBQ0gfTot80JVun048whw+kC6ZtZQCiC+lK2TW5BG1bchmnT0W5krJ5RiWC6s0OFvHBWofXl6X0N+c94YQCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:04:28.382345Z"},"content_sha256":"a4ed76cdf581f2d6fc2421f0019bcd32637c19161ea079ae6afda64f2456c1c2","schema_version":"1.0","event_id":"sha256:a4ed76cdf581f2d6fc2421f0019bcd32637c19161ea079ae6afda64f2456c1c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:WMBRFXIPMKVQNX2NGIGHJYN6RD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Twist of Lie algebras by 6 dimensional subalgebra","license":"","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"N. Aizawa","submitted_at":"2000-08-07T13:07:37Z","abstract_excerpt":"A new non-standard deformation of all types of classical Lie algebras is constructed by means of Drinfel'd twist based on a six dimensional subalgebra. This is an extension of extended twists introduced by Kulish et al. For the algebra M_3 = so(3,2), a relation to a known non-standard deformation is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0008055","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0008055/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:21:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kxwKQy3yboX5L32MW4OvsJGU0p5TXLpdaul91mvQZLq0Q0rsIxJRRp8cVWdzckNgRTXWUMp7xXVYhtMoDdOUDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:04:28.382722Z"},"content_sha256":"56b90ef8a339e782d56df9f78f9e202680e805a30e5c6836b769c9f9add9b94c","schema_version":"1.0","event_id":"sha256:56b90ef8a339e782d56df9f78f9e202680e805a30e5c6836b769c9f9add9b94c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WMBRFXIPMKVQNX2NGIGHJYN6RD/bundle.json","state_url":"https://pith.science/pith/WMBRFXIPMKVQNX2NGIGHJYN6RD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WMBRFXIPMKVQNX2NGIGHJYN6RD/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":"2026-07-05T09:04:28Z","links":{"resolver":"https://pith.science/pith/WMBRFXIPMKVQNX2NGIGHJYN6RD","bundle":"https://pith.science/pith/WMBRFXIPMKVQNX2NGIGHJYN6RD/bundle.json","state":"https://pith.science/pith/WMBRFXIPMKVQNX2NGIGHJYN6RD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WMBRFXIPMKVQNX2NGIGHJYN6RD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:WMBRFXIPMKVQNX2NGIGHJYN6RD","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":"89d70579d6e432516ccb618eb9058616ae97c396254df01edda5be22726cc709","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2000-08-07T13:07:37Z","title_canon_sha256":"938d6637f3984d23384030ca879fcf86f60f711c0da42121841dd62d510ddf83"},"schema_version":"1.0","source":{"id":"math/0008055","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0008055","created_at":"2026-07-04T16:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"math/0008055v2","created_at":"2026-07-04T16:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0008055","created_at":"2026-07-04T16:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"WMBRFXIPMKVQ","created_at":"2026-07-04T16:21:13Z"},{"alias_kind":"pith_short_16","alias_value":"WMBRFXIPMKVQNX2N","created_at":"2026-07-04T16:21:13Z"},{"alias_kind":"pith_short_8","alias_value":"WMBRFXIP","created_at":"2026-07-04T16:21:13Z"}],"graph_snapshots":[{"event_id":"sha256:56b90ef8a339e782d56df9f78f9e202680e805a30e5c6836b769c9f9add9b94c","target":"graph","created_at":"2026-07-04T16:21:13Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0008055/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A new non-standard deformation of all types of classical Lie algebras is constructed by means of Drinfel'd twist based on a six dimensional subalgebra. This is an extension of extended twists introduced by Kulish et al. For the algebra M_3 = so(3,2), a relation to a known non-standard deformation is discussed.","authors_text":"N. Aizawa","cross_cats":[],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2000-08-07T13:07:37Z","title":"Twist of Lie algebras by 6 dimensional subalgebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0008055","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:a4ed76cdf581f2d6fc2421f0019bcd32637c19161ea079ae6afda64f2456c1c2","target":"record","created_at":"2026-07-04T16:21:13Z","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":"89d70579d6e432516ccb618eb9058616ae97c396254df01edda5be22726cc709","cross_cats_sorted":[],"license":"","primary_cat":"math.QA","submitted_at":"2000-08-07T13:07:37Z","title_canon_sha256":"938d6637f3984d23384030ca879fcf86f60f711c0da42121841dd62d510ddf83"},"schema_version":"1.0","source":{"id":"math/0008055","kind":"arxiv","version":2}},"canonical_sha256":"b30312dd0f62ab06df4d320c74e1be88ee3ace70b6ed64e540a2fba644062347","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b30312dd0f62ab06df4d320c74e1be88ee3ace70b6ed64e540a2fba644062347","first_computed_at":"2026-07-04T16:21:13.696789Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:21:13.696789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wV7rMBDkHHgphc2Qexn/8Pr+kkS8Kcs70MsnEBATp5GuhBHxafe9ppRYYuWDk/4rEgkJYvlWNZsFTK7Ar4LPCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:21:13.697256Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0008055","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4ed76cdf581f2d6fc2421f0019bcd32637c19161ea079ae6afda64f2456c1c2","sha256:56b90ef8a339e782d56df9f78f9e202680e805a30e5c6836b769c9f9add9b94c"],"state_sha256":"75182c97375af32abc8215072b38635def1965bede3c56fbea13a37084d38840"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r95Gfp36TG2XyVFY6VgklZzhPDQg7dogQKhNxuEc9lnNgJnhN0OIZNMhk/Xkd/pM9Zu1T1nprLOVyFcazMN7AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T09:04:28.384649Z","bundle_sha256":"c2bb930fa4323a262b0ce5a91e54b422dc1d7724c85b2515ee730266e8265c88"}}