{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:WFWQWVHEB3R7FCIY3CUHXXF47V","short_pith_number":"pith:WFWQWVHE","canonical_record":{"source":{"id":"q-alg/9706002","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"q-alg","submitted_at":"1997-06-02T13:04:24Z","cross_cats_sorted":["hep-th","math.QA"],"title_canon_sha256":"de358d99db84246b070d4ea99f0229c671df68bd98bc714c3b21c83fcf4aed64","abstract_canon_sha256":"f435806905e09848e4d0b6ef6376c91ad45d2ba0c3a59ead7fc9785b5c457627"},"schema_version":"1.0"},"canonical_sha256":"b16d0b54e40ee3f28918d8a87bdcbcfd4627245dae3edec199e1a685030ab3e8","source":{"kind":"arxiv","id":"q-alg/9706002","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9706002","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9706002v1","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9706002","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"pith_short_12","alias_value":"WFWQWVHEB3R7","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"WFWQWVHEB3R7FCIY","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"WFWQWVHE","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:WFWQWVHEB3R7FCIY3CUHXXF47V","target":"record","payload":{"canonical_record":{"source":{"id":"q-alg/9706002","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"q-alg","submitted_at":"1997-06-02T13:04:24Z","cross_cats_sorted":["hep-th","math.QA"],"title_canon_sha256":"de358d99db84246b070d4ea99f0229c671df68bd98bc714c3b21c83fcf4aed64","abstract_canon_sha256":"f435806905e09848e4d0b6ef6376c91ad45d2ba0c3a59ead7fc9785b5c457627"},"schema_version":"1.0"},"canonical_sha256":"b16d0b54e40ee3f28918d8a87bdcbcfd4627245dae3edec199e1a685030ab3e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:07.257444Z","signature_b64":"fNiq6pKFKq5zSRAs5lhLA5egc2oWjxRMSEGzGSVaOCbNrlb0rnb8BjaxdJbjXU1KjF4q9pTBiZhuVV+VFJGFDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b16d0b54e40ee3f28918d8a87bdcbcfd4627245dae3edec199e1a685030ab3e8","last_reissued_at":"2026-05-18T01:05:07.256776Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:07.256776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"q-alg/9706002","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":"2026-05-18T01:05:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yePN7shdSbYN9BYjr7ND1kBEARelMqPhn/8PA+wB9+wQRFxAjE1xHk0hiCcRidtQ05bY/rTN+45h1HpEJy6XBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:29:48.468484Z"},"content_sha256":"957d5d1bd1cbd85ef51a7fcae2bb0e064298ad6cb868b54e7d50687977a480db","schema_version":"1.0","event_id":"sha256:957d5d1bd1cbd85ef51a7fcae2bb0e064298ad6cb868b54e7d50687977a480db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:WFWQWVHEB3R7FCIY3CUHXXF47V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coloured quantum universal enveloping algebras","license":"","headline":"","cross_cats":["hep-th","math.QA"],"primary_cat":"q-alg","authors_text":"C. Quesne","submitted_at":"1997-06-02T13:04:24Z","abstract_excerpt":"We define some new algebraic structures, termed coloured Hopf algebras, by combining the coalgebra structures and antipodes of a standard Hopf algebra set $\\cal H$, corresponding to some parameter set $\\cal Q$, with the transformations of an algebra isomorphism group $\\cal G$, herein called colour group. Such transformations are labelled by some colour parameters, taking values in a colour set $\\cal C$. We show that various classes of Hopf algebras, such as almost cocommutative, coboundary, quasitriangular, and triangular ones, can be extended into corresponding coloured algebraic structures, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9706002","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":"2026-05-18T01:05:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0PQH42rtVD7yQv7yd8wMJJP8WgheFgwq8fRpsqW8xVG0Qlz17aOB4+WRg63/JiGkfSh+rUZP0qhv3knvDefTCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:29:48.468830Z"},"content_sha256":"e18f7acb2c69dec0b0a1ed031dd740ba0aa702825f3e603773db9fa26edf1fce","schema_version":"1.0","event_id":"sha256:e18f7acb2c69dec0b0a1ed031dd740ba0aa702825f3e603773db9fa26edf1fce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WFWQWVHEB3R7FCIY3CUHXXF47V/bundle.json","state_url":"https://pith.science/pith/WFWQWVHEB3R7FCIY3CUHXXF47V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WFWQWVHEB3R7FCIY3CUHXXF47V/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":"2026-06-01T21:29:48Z","links":{"resolver":"https://pith.science/pith/WFWQWVHEB3R7FCIY3CUHXXF47V","bundle":"https://pith.science/pith/WFWQWVHEB3R7FCIY3CUHXXF47V/bundle.json","state":"https://pith.science/pith/WFWQWVHEB3R7FCIY3CUHXXF47V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WFWQWVHEB3R7FCIY3CUHXXF47V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:WFWQWVHEB3R7FCIY3CUHXXF47V","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":"f435806905e09848e4d0b6ef6376c91ad45d2ba0c3a59ead7fc9785b5c457627","cross_cats_sorted":["hep-th","math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1997-06-02T13:04:24Z","title_canon_sha256":"de358d99db84246b070d4ea99f0229c671df68bd98bc714c3b21c83fcf4aed64"},"schema_version":"1.0","source":{"id":"q-alg/9706002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9706002","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9706002v1","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9706002","created_at":"2026-05-18T01:05:07Z"},{"alias_kind":"pith_short_12","alias_value":"WFWQWVHEB3R7","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"WFWQWVHEB3R7FCIY","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"WFWQWVHE","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:e18f7acb2c69dec0b0a1ed031dd740ba0aa702825f3e603773db9fa26edf1fce","target":"graph","created_at":"2026-05-18T01:05:07Z","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 define some new algebraic structures, termed coloured Hopf algebras, by combining the coalgebra structures and antipodes of a standard Hopf algebra set $\\cal H$, corresponding to some parameter set $\\cal Q$, with the transformations of an algebra isomorphism group $\\cal G$, herein called colour group. Such transformations are labelled by some colour parameters, taking values in a colour set $\\cal C$. We show that various classes of Hopf algebras, such as almost cocommutative, coboundary, quasitriangular, and triangular ones, can be extended into corresponding coloured algebraic structures, ","authors_text":"C. Quesne","cross_cats":["hep-th","math.QA"],"headline":"","license":"","primary_cat":"q-alg","submitted_at":"1997-06-02T13:04:24Z","title":"Coloured quantum universal enveloping algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9706002","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":"sha256:957d5d1bd1cbd85ef51a7fcae2bb0e064298ad6cb868b54e7d50687977a480db","target":"record","created_at":"2026-05-18T01:05:07Z","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":"f435806905e09848e4d0b6ef6376c91ad45d2ba0c3a59ead7fc9785b5c457627","cross_cats_sorted":["hep-th","math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1997-06-02T13:04:24Z","title_canon_sha256":"de358d99db84246b070d4ea99f0229c671df68bd98bc714c3b21c83fcf4aed64"},"schema_version":"1.0","source":{"id":"q-alg/9706002","kind":"arxiv","version":1}},"canonical_sha256":"b16d0b54e40ee3f28918d8a87bdcbcfd4627245dae3edec199e1a685030ab3e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b16d0b54e40ee3f28918d8a87bdcbcfd4627245dae3edec199e1a685030ab3e8","first_computed_at":"2026-05-18T01:05:07.256776Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:07.256776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fNiq6pKFKq5zSRAs5lhLA5egc2oWjxRMSEGzGSVaOCbNrlb0rnb8BjaxdJbjXU1KjF4q9pTBiZhuVV+VFJGFDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:07.257444Z","signed_message":"canonical_sha256_bytes"},"source_id":"q-alg/9706002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:957d5d1bd1cbd85ef51a7fcae2bb0e064298ad6cb868b54e7d50687977a480db","sha256:e18f7acb2c69dec0b0a1ed031dd740ba0aa702825f3e603773db9fa26edf1fce"],"state_sha256":"7854ef5124fd111b68a48b469e38cefd060c980eb746f9ff3e8504db0c6eeb78"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rvZMEtblFFQCS1Cys4nehpO6iLKrUNiRPioYcVoutiPmSDMKIC5GhKafmQ+2KfhAPnm4sBgxOjWAbeJFOlKmBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:29:48.470803Z","bundle_sha256":"ce1845615b4d88e63ea411443f177fad5ed4c64d5dd421e600fd8e9eb076b327"}}