{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:AHKF7NU4QWYI6HWGX5L3YTSOC5","short_pith_number":"pith:AHKF7NU4","schema_version":"1.0","canonical_sha256":"01d45fb69c85b08f1ec6bf57bc4e4e17750fbcaee4fcd3bcaf1c2d631a366d4c","source":{"kind":"arxiv","id":"1812.06523","version":1},"attestation_state":"computed","paper":{"title":"q-deformed Character Theory for Infinite-Dimensional Symplectic and Orthogonal Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.PR"],"primary_cat":"math.RT","authors_text":"Cesar Cuenca, Vadim Gorin","submitted_at":"2018-12-16T19:38:07Z","abstract_excerpt":"The classification of irreducible, spherical characters of the infinite-dimensional unitary/orthogonal/symplectic groups can be obtained by finding all possible limits of normalized, irreducible characters of the corresponding finite-dimensional groups, as the rank tends to infinity. We solve a q-deformed version of the latter problem for orthogonal and symplectic groups, extending previously known results for the unitary group. The proof is based on novel determinantal and double-contour integral formulas for the q-specialized characters."},"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":"1812.06523","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-12-16T19:38:07Z","cross_cats_sorted":["math.CO","math.PR"],"title_canon_sha256":"a0a8b9b361610af89293eac237158a4b7ee6c160cf9f35135d9e5bbdecf3d6ce","abstract_canon_sha256":"d1c668a35856be8a7f0b9e8f306c1eefc18adc8fab4c7d94681cb2c622c68ace"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:10.004210Z","signature_b64":"ZfcvEiLdOhDXFVP93wlBmGCUgjMG5inD9iA1tmmTIbRk0qFOgmJxPTzLG9A8N4TLQzk+vmpd4FSXCZ/omVKDAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01d45fb69c85b08f1ec6bf57bc4e4e17750fbcaee4fcd3bcaf1c2d631a366d4c","last_reissued_at":"2026-05-17T23:58:10.003638Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:10.003638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"q-deformed Character Theory for Infinite-Dimensional Symplectic and Orthogonal Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.PR"],"primary_cat":"math.RT","authors_text":"Cesar Cuenca, Vadim Gorin","submitted_at":"2018-12-16T19:38:07Z","abstract_excerpt":"The classification of irreducible, spherical characters of the infinite-dimensional unitary/orthogonal/symplectic groups can be obtained by finding all possible limits of normalized, irreducible characters of the corresponding finite-dimensional groups, as the rank tends to infinity. We solve a q-deformed version of the latter problem for orthogonal and symplectic groups, extending previously known results for the unitary group. The proof is based on novel determinantal and double-contour integral formulas for the q-specialized characters."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.06523","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1812.06523","created_at":"2026-05-17T23:58:10.003751+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.06523v1","created_at":"2026-05-17T23:58:10.003751+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.06523","created_at":"2026-05-17T23:58:10.003751+00:00"},{"alias_kind":"pith_short_12","alias_value":"AHKF7NU4QWYI","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_16","alias_value":"AHKF7NU4QWYI6HWG","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_8","alias_value":"AHKF7NU4","created_at":"2026-05-18T12:32:13.499390+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/AHKF7NU4QWYI6HWGX5L3YTSOC5","json":"https://pith.science/pith/AHKF7NU4QWYI6HWGX5L3YTSOC5.json","graph_json":"https://pith.science/api/pith-number/AHKF7NU4QWYI6HWGX5L3YTSOC5/graph.json","events_json":"https://pith.science/api/pith-number/AHKF7NU4QWYI6HWGX5L3YTSOC5/events.json","paper":"https://pith.science/paper/AHKF7NU4"},"agent_actions":{"view_html":"https://pith.science/pith/AHKF7NU4QWYI6HWGX5L3YTSOC5","download_json":"https://pith.science/pith/AHKF7NU4QWYI6HWGX5L3YTSOC5.json","view_paper":"https://pith.science/paper/AHKF7NU4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.06523&json=true","fetch_graph":"https://pith.science/api/pith-number/AHKF7NU4QWYI6HWGX5L3YTSOC5/graph.json","fetch_events":"https://pith.science/api/pith-number/AHKF7NU4QWYI6HWGX5L3YTSOC5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AHKF7NU4QWYI6HWGX5L3YTSOC5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AHKF7NU4QWYI6HWGX5L3YTSOC5/action/storage_attestation","attest_author":"https://pith.science/pith/AHKF7NU4QWYI6HWGX5L3YTSOC5/action/author_attestation","sign_citation":"https://pith.science/pith/AHKF7NU4QWYI6HWGX5L3YTSOC5/action/citation_signature","submit_replication":"https://pith.science/pith/AHKF7NU4QWYI6HWGX5L3YTSOC5/action/replication_record"}},"created_at":"2026-05-17T23:58:10.003751+00:00","updated_at":"2026-05-17T23:58:10.003751+00:00"}