{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:K32JHJ7RUFG63Q7DWGUQYYIWVO","short_pith_number":"pith:K32JHJ7R","schema_version":"1.0","canonical_sha256":"56f493a7f1a14dedc3e3b1a90c6116abbb1e80ec89d78af6809d291f04b3d847","source":{"kind":"arxiv","id":"math/0702298","version":4},"attestation_state":"computed","paper":{"title":"Notes on two-parameter quantum groups, (I)","license":"","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Naihong Hu, Yufeng Pei","submitted_at":"2007-02-11T16:19:22Z","abstract_excerpt":"A simpler definition for a class of two-parameter quantum groups associated to semisimple Lie algebras is given in terms of Euler form. Their positive parts turn out to be 2-cocycle deformations of each other under some conditions. An operator realization of the positive part is given."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"math/0702298","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2007-02-11T16:19:22Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"5f7a200935efdf351cc819fb0243c72f5d27937d4d5c0e745b7ce571ec9a1d64","abstract_canon_sha256":"2994f7ee107870e8376c1d2a2adc3c2af6383a602413cffaf3cab98f1804e7e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:09.442039Z","signature_b64":"w2mk8B2m5t06A5TRYCPtq22J2D/31Hsj0zBkklO5RMJ+ixAVDeTEjNVv4hkW0xZqrcLmLgSfBUr+5QkkV26LDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56f493a7f1a14dedc3e3b1a90c6116abbb1e80ec89d78af6809d291f04b3d847","last_reissued_at":"2026-05-18T02:41:09.441663Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:09.441663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Notes on two-parameter quantum groups, (I)","license":"","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Naihong Hu, Yufeng Pei","submitted_at":"2007-02-11T16:19:22Z","abstract_excerpt":"A simpler definition for a class of two-parameter quantum groups associated to semisimple Lie algebras is given in terms of Euler form. Their positive parts turn out to be 2-cocycle deformations of each other under some conditions. An operator realization of the positive part is given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0702298","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0702298","created_at":"2026-05-18T02:41:09.441724+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0702298v4","created_at":"2026-05-18T02:41:09.441724+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0702298","created_at":"2026-05-18T02:41:09.441724+00:00"},{"alias_kind":"pith_short_12","alias_value":"K32JHJ7RUFG6","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"K32JHJ7RUFG63Q7D","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"K32JHJ7R","created_at":"2026-05-18T12:25:55.427421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/K32JHJ7RUFG63Q7DWGUQYYIWVO","json":"https://pith.science/pith/K32JHJ7RUFG63Q7DWGUQYYIWVO.json","graph_json":"https://pith.science/api/pith-number/K32JHJ7RUFG63Q7DWGUQYYIWVO/graph.json","events_json":"https://pith.science/api/pith-number/K32JHJ7RUFG63Q7DWGUQYYIWVO/events.json","paper":"https://pith.science/paper/K32JHJ7R"},"agent_actions":{"view_html":"https://pith.science/pith/K32JHJ7RUFG63Q7DWGUQYYIWVO","download_json":"https://pith.science/pith/K32JHJ7RUFG63Q7DWGUQYYIWVO.json","view_paper":"https://pith.science/paper/K32JHJ7R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0702298&json=true","fetch_graph":"https://pith.science/api/pith-number/K32JHJ7RUFG63Q7DWGUQYYIWVO/graph.json","fetch_events":"https://pith.science/api/pith-number/K32JHJ7RUFG63Q7DWGUQYYIWVO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K32JHJ7RUFG63Q7DWGUQYYIWVO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K32JHJ7RUFG63Q7DWGUQYYIWVO/action/storage_attestation","attest_author":"https://pith.science/pith/K32JHJ7RUFG63Q7DWGUQYYIWVO/action/author_attestation","sign_citation":"https://pith.science/pith/K32JHJ7RUFG63Q7DWGUQYYIWVO/action/citation_signature","submit_replication":"https://pith.science/pith/K32JHJ7RUFG63Q7DWGUQYYIWVO/action/replication_record"}},"created_at":"2026-05-18T02:41:09.441724+00:00","updated_at":"2026-05-18T02:41:09.441724+00:00"}