{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:YFA4TNQY7TAFQB2IDSAOAEAQ2P","short_pith_number":"pith:YFA4TNQY","schema_version":"1.0","canonical_sha256":"c141c9b618fcc05807481c80e01010d3de63388668bd40200f42f2d2cc6f160e","source":{"kind":"arxiv","id":"0706.0351","version":1},"attestation_state":"computed","paper":{"title":"R-Matrix Poisson Algebras and Their Deformations","license":"","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Sebastian Zwicknagl","submitted_at":"2007-06-03T21:13:18Z","abstract_excerpt":"We classify in this paper Poisson structures on modules over semisimple Lie algebras arising from classical r-matrices. We then study their quantizations and the relation to classical invariant theory."},"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":"0706.0351","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2007-06-03T21:13:18Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"e8f0fb24f4b16b961d0f805cab24d05cecf81313d07a4d63526af615246e040e","abstract_canon_sha256":"37d33ff87b86cb5088b5dd3a97f8ee3d60822baa249a0b543824ff6b34f89b88"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:01:38.752916Z","signature_b64":"Z23A2icFD6EXazKxqN+8na/0jZMVs9Z7fqH8unnU7TPhZ0zeT08+tEpl/SbS/Vb1/AAcWMQAppy2B55RpcfcDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c141c9b618fcc05807481c80e01010d3de63388668bd40200f42f2d2cc6f160e","last_reissued_at":"2026-07-04T15:01:38.752521Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:01:38.752521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"R-Matrix Poisson Algebras and Their Deformations","license":"","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Sebastian Zwicknagl","submitted_at":"2007-06-03T21:13:18Z","abstract_excerpt":"We classify in this paper Poisson structures on modules over semisimple Lie algebras arising from classical r-matrices. We then study their quantizations and the relation to classical invariant theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.0351","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/0706.0351/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0706.0351","created_at":"2026-07-04T15:01:38.752587+00:00"},{"alias_kind":"arxiv_version","alias_value":"0706.0351v1","created_at":"2026-07-04T15:01:38.752587+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.0351","created_at":"2026-07-04T15:01:38.752587+00:00"},{"alias_kind":"pith_short_12","alias_value":"YFA4TNQY7TAF","created_at":"2026-07-04T15:01:38.752587+00:00"},{"alias_kind":"pith_short_16","alias_value":"YFA4TNQY7TAFQB2I","created_at":"2026-07-04T15:01:38.752587+00:00"},{"alias_kind":"pith_short_8","alias_value":"YFA4TNQY","created_at":"2026-07-04T15:01:38.752587+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2303.04264","citing_title":"On a symplectic quantum Howe duality","ref_index":48,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YFA4TNQY7TAFQB2IDSAOAEAQ2P","json":"https://pith.science/pith/YFA4TNQY7TAFQB2IDSAOAEAQ2P.json","graph_json":"https://pith.science/api/pith-number/YFA4TNQY7TAFQB2IDSAOAEAQ2P/graph.json","events_json":"https://pith.science/api/pith-number/YFA4TNQY7TAFQB2IDSAOAEAQ2P/events.json","paper":"https://pith.science/paper/YFA4TNQY"},"agent_actions":{"view_html":"https://pith.science/pith/YFA4TNQY7TAFQB2IDSAOAEAQ2P","download_json":"https://pith.science/pith/YFA4TNQY7TAFQB2IDSAOAEAQ2P.json","view_paper":"https://pith.science/paper/YFA4TNQY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0706.0351&json=true","fetch_graph":"https://pith.science/api/pith-number/YFA4TNQY7TAFQB2IDSAOAEAQ2P/graph.json","fetch_events":"https://pith.science/api/pith-number/YFA4TNQY7TAFQB2IDSAOAEAQ2P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YFA4TNQY7TAFQB2IDSAOAEAQ2P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YFA4TNQY7TAFQB2IDSAOAEAQ2P/action/storage_attestation","attest_author":"https://pith.science/pith/YFA4TNQY7TAFQB2IDSAOAEAQ2P/action/author_attestation","sign_citation":"https://pith.science/pith/YFA4TNQY7TAFQB2IDSAOAEAQ2P/action/citation_signature","submit_replication":"https://pith.science/pith/YFA4TNQY7TAFQB2IDSAOAEAQ2P/action/replication_record"}},"created_at":"2026-07-04T15:01:38.752587+00:00","updated_at":"2026-07-04T15:01:38.752587+00:00"}