{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:NOWX3QRLD6FJPN2BXMXFZ4EX2E","short_pith_number":"pith:NOWX3QRL","schema_version":"1.0","canonical_sha256":"6bad7dc22b1f8a97b741bb2e5cf097d10653045f91bbef42702b21b6384acadd","source":{"kind":"arxiv","id":"1902.02002","version":2},"attestation_state":"computed","paper":{"title":"Dimension and Trace of the Kauffman Bracket Skein Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.GT","authors_text":"Charles Frohman, Joanna Kania-Bartoszynska, Thang Le","submitted_at":"2019-02-06T02:13:37Z","abstract_excerpt":"Let $F$ be a finite type surface and $\\zeta$ a complex root of unity. The Kauffman bracket skein algebra $K_{\\zeta}(F)$ is an important object in both classical and quantum topology as it has relations to the character variety, the Teichm\\\"uller space, the Jones polynomial, and the Witten-Reshetikhin-Turaev Topological Quantum Field Theories. We compute the rank and trace of $K_{\\zeta}(F)$ over its center, and we extend a theorem of Frohman and Kania-Bartoszynska which says the skein algebra has a splitting coming from two pants decompositions of $F$."},"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":"1902.02002","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-06T02:13:37Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"896e7f6e7ffa6baea9a394fb3286e4e5ea2ae59b8285c9333d58e6810d21628c","abstract_canon_sha256":"391f14af680addefa681d7f0a1674d57292e2dfcec7279b58f0c9ba2cb761e70"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:31.793662Z","signature_b64":"/MoEO5UT+YcdZvwWr4HEUq8HdPDrEPrUWnp7kqFaDVRi1/kydGprprHT4lok5/UiaLsq5d+YPo9r1XAh8H5MAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6bad7dc22b1f8a97b741bb2e5cf097d10653045f91bbef42702b21b6384acadd","last_reissued_at":"2026-05-17T23:52:31.793081Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:31.793081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dimension and Trace of the Kauffman Bracket Skein Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.GT","authors_text":"Charles Frohman, Joanna Kania-Bartoszynska, Thang Le","submitted_at":"2019-02-06T02:13:37Z","abstract_excerpt":"Let $F$ be a finite type surface and $\\zeta$ a complex root of unity. The Kauffman bracket skein algebra $K_{\\zeta}(F)$ is an important object in both classical and quantum topology as it has relations to the character variety, the Teichm\\\"uller space, the Jones polynomial, and the Witten-Reshetikhin-Turaev Topological Quantum Field Theories. We compute the rank and trace of $K_{\\zeta}(F)$ over its center, and we extend a theorem of Frohman and Kania-Bartoszynska which says the skein algebra has a splitting coming from two pants decompositions of $F$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02002","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":""},"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":"1902.02002","created_at":"2026-05-17T23:52:31.793190+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.02002v2","created_at":"2026-05-17T23:52:31.793190+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02002","created_at":"2026-05-17T23:52:31.793190+00:00"},{"alias_kind":"pith_short_12","alias_value":"NOWX3QRLD6FJ","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"NOWX3QRLD6FJPN2B","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"NOWX3QRL","created_at":"2026-05-18T12:33:24.271573+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/NOWX3QRLD6FJPN2BXMXFZ4EX2E","json":"https://pith.science/pith/NOWX3QRLD6FJPN2BXMXFZ4EX2E.json","graph_json":"https://pith.science/api/pith-number/NOWX3QRLD6FJPN2BXMXFZ4EX2E/graph.json","events_json":"https://pith.science/api/pith-number/NOWX3QRLD6FJPN2BXMXFZ4EX2E/events.json","paper":"https://pith.science/paper/NOWX3QRL"},"agent_actions":{"view_html":"https://pith.science/pith/NOWX3QRLD6FJPN2BXMXFZ4EX2E","download_json":"https://pith.science/pith/NOWX3QRLD6FJPN2BXMXFZ4EX2E.json","view_paper":"https://pith.science/paper/NOWX3QRL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.02002&json=true","fetch_graph":"https://pith.science/api/pith-number/NOWX3QRLD6FJPN2BXMXFZ4EX2E/graph.json","fetch_events":"https://pith.science/api/pith-number/NOWX3QRLD6FJPN2BXMXFZ4EX2E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NOWX3QRLD6FJPN2BXMXFZ4EX2E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NOWX3QRLD6FJPN2BXMXFZ4EX2E/action/storage_attestation","attest_author":"https://pith.science/pith/NOWX3QRLD6FJPN2BXMXFZ4EX2E/action/author_attestation","sign_citation":"https://pith.science/pith/NOWX3QRLD6FJPN2BXMXFZ4EX2E/action/citation_signature","submit_replication":"https://pith.science/pith/NOWX3QRLD6FJPN2BXMXFZ4EX2E/action/replication_record"}},"created_at":"2026-05-17T23:52:31.793190+00:00","updated_at":"2026-05-17T23:52:31.793190+00:00"}