{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:B4XJJR3ZFEND55FBX6SNAU3ELH","short_pith_number":"pith:B4XJJR3Z","canonical_record":{"source":{"id":"0712.0520","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2007-12-04T13:55:05Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"168115c6af42b60cdfa2b99c21eed64632fe10a47a5f4765908f2a2ecb16d3c1","abstract_canon_sha256":"d670afea31a53a1125f06b962842a8871d5f73532b2c94d4a701898d83d689c0"},"schema_version":"1.0"},"canonical_sha256":"0f2e94c779291a3ef4a1bfa4d0536459ce497dea5978568278a1228ec5a82ad0","source":{"kind":"arxiv","id":"0712.0520","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.0520","created_at":"2026-07-04T17:07:05Z"},{"alias_kind":"arxiv_version","alias_value":"0712.0520v1","created_at":"2026-07-04T17:07:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.0520","created_at":"2026-07-04T17:07:05Z"},{"alias_kind":"pith_short_12","alias_value":"B4XJJR3ZFEND","created_at":"2026-07-04T17:07:05Z"},{"alias_kind":"pith_short_16","alias_value":"B4XJJR3ZFEND55FB","created_at":"2026-07-04T17:07:05Z"},{"alias_kind":"pith_short_8","alias_value":"B4XJJR3Z","created_at":"2026-07-04T17:07:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:B4XJJR3ZFEND55FBX6SNAU3ELH","target":"record","payload":{"canonical_record":{"source":{"id":"0712.0520","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2007-12-04T13:55:05Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"168115c6af42b60cdfa2b99c21eed64632fe10a47a5f4765908f2a2ecb16d3c1","abstract_canon_sha256":"d670afea31a53a1125f06b962842a8871d5f73532b2c94d4a701898d83d689c0"},"schema_version":"1.0"},"canonical_sha256":"0f2e94c779291a3ef4a1bfa4d0536459ce497dea5978568278a1228ec5a82ad0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:07:05.586726Z","signature_b64":"9jtoDeVeny+rrU4UrlEsQy0lrWJERwqmhQqdkGEkdDrED3e80XXgumv9QzlJUiNnRPHbXw/452m+kbmQNWQdDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f2e94c779291a3ef4a1bfa4d0536459ce497dea5978568278a1228ec5a82ad0","last_reissued_at":"2026-07-04T17:07:05.586334Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:07:05.586334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0712.0520","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":"2026-07-04T17:07:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oIoFOtajoouMoahxDsogL/qOyIkV0cDU+4fEvmNjSQGnqOiXEcFYrjFqmgtnBDoYArHkEM4+xc2XJFog69eYCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T23:59:12.082839Z"},"content_sha256":"ce2103fa82ee5ddbd4a516f4aa1cd3b0ab7c3a63e9b95e67023efdfd03f2b8d9","schema_version":"1.0","event_id":"sha256:ce2103fa82ee5ddbd4a516f4aa1cd3b0ab7c3a63e9b95e67023efdfd03f2b8d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:B4XJJR3ZFEND55FBX6SNAU3ELH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From Quantum Universal Enveloping Algebras to Quantum Algebras","license":"","headline":"","cross_cats":["math.GR"],"primary_cat":"math.QA","authors_text":"A. Ballesteros, E. Celeghini, M.A. del Olmo","submitted_at":"2007-12-04T13:55:05Z","abstract_excerpt":"The ``local'' structure of a quantum group G_q is currently considered to be an infinite-dimensional object: the corresponding quantum universal enveloping algebra U_q(g), which is a Hopf algebra deformation of the universal enveloping algebra of a n-dimensional Lie algebra g=Lie(G). However, we show how, by starting from the generators of the underlying Lie bialgebra (g,\\delta), the analyticity in the deformation parameter(s) allows us to determine in a unique way a set of n ``almost primitive'' basic objects in U_q(g), that could be properly called the ``quantum algebra generators''. So, the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.0520","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0712.0520/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":"2026-07-04T17:07:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u+tyAa25u814pHgDG/RaK1PVm6M0u0XSXtdiGX68K7oqze9ulg09CNMU9g+MCeDVU29k5+KMnc0XFH6yye/rDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T23:59:12.083449Z"},"content_sha256":"92cd9acb3cd59450c3634b8f467840bd26b21e199bad1ec9d0af38d13abf6bf6","schema_version":"1.0","event_id":"sha256:92cd9acb3cd59450c3634b8f467840bd26b21e199bad1ec9d0af38d13abf6bf6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B4XJJR3ZFEND55FBX6SNAU3ELH/bundle.json","state_url":"https://pith.science/pith/B4XJJR3ZFEND55FBX6SNAU3ELH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B4XJJR3ZFEND55FBX6SNAU3ELH/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":"2026-08-05T23:59:12Z","links":{"resolver":"https://pith.science/pith/B4XJJR3ZFEND55FBX6SNAU3ELH","bundle":"https://pith.science/pith/B4XJJR3ZFEND55FBX6SNAU3ELH/bundle.json","state":"https://pith.science/pith/B4XJJR3ZFEND55FBX6SNAU3ELH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B4XJJR3ZFEND55FBX6SNAU3ELH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:B4XJJR3ZFEND55FBX6SNAU3ELH","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":"d670afea31a53a1125f06b962842a8871d5f73532b2c94d4a701898d83d689c0","cross_cats_sorted":["math.GR"],"license":"","primary_cat":"math.QA","submitted_at":"2007-12-04T13:55:05Z","title_canon_sha256":"168115c6af42b60cdfa2b99c21eed64632fe10a47a5f4765908f2a2ecb16d3c1"},"schema_version":"1.0","source":{"id":"0712.0520","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.0520","created_at":"2026-07-04T17:07:05Z"},{"alias_kind":"arxiv_version","alias_value":"0712.0520v1","created_at":"2026-07-04T17:07:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.0520","created_at":"2026-07-04T17:07:05Z"},{"alias_kind":"pith_short_12","alias_value":"B4XJJR3ZFEND","created_at":"2026-07-04T17:07:05Z"},{"alias_kind":"pith_short_16","alias_value":"B4XJJR3ZFEND55FB","created_at":"2026-07-04T17:07:05Z"},{"alias_kind":"pith_short_8","alias_value":"B4XJJR3Z","created_at":"2026-07-04T17:07:05Z"}],"graph_snapshots":[{"event_id":"sha256:92cd9acb3cd59450c3634b8f467840bd26b21e199bad1ec9d0af38d13abf6bf6","target":"graph","created_at":"2026-07-04T17:07:05Z","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/0712.0520/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The ``local'' structure of a quantum group G_q is currently considered to be an infinite-dimensional object: the corresponding quantum universal enveloping algebra U_q(g), which is a Hopf algebra deformation of the universal enveloping algebra of a n-dimensional Lie algebra g=Lie(G). However, we show how, by starting from the generators of the underlying Lie bialgebra (g,\\delta), the analyticity in the deformation parameter(s) allows us to determine in a unique way a set of n ``almost primitive'' basic objects in U_q(g), that could be properly called the ``quantum algebra generators''. So, the","authors_text":"A. Ballesteros, E. Celeghini, M.A. del Olmo","cross_cats":["math.GR"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2007-12-04T13:55:05Z","title":"From Quantum Universal Enveloping Algebras to Quantum Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.0520","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:ce2103fa82ee5ddbd4a516f4aa1cd3b0ab7c3a63e9b95e67023efdfd03f2b8d9","target":"record","created_at":"2026-07-04T17:07:05Z","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":"d670afea31a53a1125f06b962842a8871d5f73532b2c94d4a701898d83d689c0","cross_cats_sorted":["math.GR"],"license":"","primary_cat":"math.QA","submitted_at":"2007-12-04T13:55:05Z","title_canon_sha256":"168115c6af42b60cdfa2b99c21eed64632fe10a47a5f4765908f2a2ecb16d3c1"},"schema_version":"1.0","source":{"id":"0712.0520","kind":"arxiv","version":1}},"canonical_sha256":"0f2e94c779291a3ef4a1bfa4d0536459ce497dea5978568278a1228ec5a82ad0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f2e94c779291a3ef4a1bfa4d0536459ce497dea5978568278a1228ec5a82ad0","first_computed_at":"2026-07-04T17:07:05.586334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:07:05.586334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9jtoDeVeny+rrU4UrlEsQy0lrWJERwqmhQqdkGEkdDrED3e80XXgumv9QzlJUiNnRPHbXw/452m+kbmQNWQdDw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:07:05.586726Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.0520","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce2103fa82ee5ddbd4a516f4aa1cd3b0ab7c3a63e9b95e67023efdfd03f2b8d9","sha256:92cd9acb3cd59450c3634b8f467840bd26b21e199bad1ec9d0af38d13abf6bf6"],"state_sha256":"abf17f2a5a156f1b4edea0e6b9dd9992c86644419b8b786b0e00832e4dbcce1d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7sy+SFZzDLB25a3Xfa/Db8klVHOBzf3RGcssMLndkZdWVBsHf1J7IIMqRKaZOjsk/Kk1VbSuS0/gy28uWEqwAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T23:59:12.088145Z","bundle_sha256":"74ae4220b21387f71ec5afd075f5822071d5a4c9217e393d42dccc91a5ce1a43"}}