{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:IT6OINXUJA5Q5D7D3IHFTUAEQR","short_pith_number":"pith:IT6OINXU","schema_version":"1.0","canonical_sha256":"44fce436f4483b0e8fe3da0e59d004846d6bc3495614aa5d7386668030d7d3ec","source":{"kind":"arxiv","id":"1012.5893","version":2},"attestation_state":"computed","paper":{"title":"Operator algebra quantum homogeneous spaces of universal gauge groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.KT","math.OA"],"primary_cat":"math.QA","authors_text":"Snigdhayan Mahanta, Varghese Mathai","submitted_at":"2010-12-29T09:16:40Z","abstract_excerpt":"In this paper, we quantize universal gauge groups such as SU(\\infty), as well as their homogeneous spaces, in the sigma-C*-algebra setting. More precisely, we propose concise definitions of sigma-C*-quantum groups and sigma-C*-quantum homogeneous spaces and explain these concepts here. At the same time, we put these definitions in the mathematical context of countably compactly generated spaces as well as C*-compact quantum groups and homogeneous spaces. We also study the representable K-theory of these spaces and compute it for the quantum homogeneous spaces associated to the universal gauge "},"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":"1012.5893","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-12-29T09:16:40Z","cross_cats_sorted":["hep-th","math.KT","math.OA"],"title_canon_sha256":"8d8ffd5bd6f00213c02bdc789b487d8bb4ff41ce811bc1c8e708d2043c09b541","abstract_canon_sha256":"5eab224016cf20c12ad4ca32f62ded6364b66f9a6bb160a8e4b012d0a4d5f9e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:29.326177Z","signature_b64":"csmQQA9hQ//WHnT22jGsBlKy06deP53AB5rGQdogBEJ73ikvyDa5TBEdGn1XAgpQjj6FCXOmmRraDLiwF7QXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44fce436f4483b0e8fe3da0e59d004846d6bc3495614aa5d7386668030d7d3ec","last_reissued_at":"2026-05-18T04:14:29.325553Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:29.325553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Operator algebra quantum homogeneous spaces of universal gauge groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.KT","math.OA"],"primary_cat":"math.QA","authors_text":"Snigdhayan Mahanta, Varghese Mathai","submitted_at":"2010-12-29T09:16:40Z","abstract_excerpt":"In this paper, we quantize universal gauge groups such as SU(\\infty), as well as their homogeneous spaces, in the sigma-C*-algebra setting. More precisely, we propose concise definitions of sigma-C*-quantum groups and sigma-C*-quantum homogeneous spaces and explain these concepts here. At the same time, we put these definitions in the mathematical context of countably compactly generated spaces as well as C*-compact quantum groups and homogeneous spaces. We also study the representable K-theory of these spaces and compute it for the quantum homogeneous spaces associated to the universal gauge "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5893","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":"1012.5893","created_at":"2026-05-18T04:14:29.325664+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.5893v2","created_at":"2026-05-18T04:14:29.325664+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5893","created_at":"2026-05-18T04:14:29.325664+00:00"},{"alias_kind":"pith_short_12","alias_value":"IT6OINXUJA5Q","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"IT6OINXUJA5Q5D7D","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"IT6OINXU","created_at":"2026-05-18T12:26:09.077623+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/IT6OINXUJA5Q5D7D3IHFTUAEQR","json":"https://pith.science/pith/IT6OINXUJA5Q5D7D3IHFTUAEQR.json","graph_json":"https://pith.science/api/pith-number/IT6OINXUJA5Q5D7D3IHFTUAEQR/graph.json","events_json":"https://pith.science/api/pith-number/IT6OINXUJA5Q5D7D3IHFTUAEQR/events.json","paper":"https://pith.science/paper/IT6OINXU"},"agent_actions":{"view_html":"https://pith.science/pith/IT6OINXUJA5Q5D7D3IHFTUAEQR","download_json":"https://pith.science/pith/IT6OINXUJA5Q5D7D3IHFTUAEQR.json","view_paper":"https://pith.science/paper/IT6OINXU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.5893&json=true","fetch_graph":"https://pith.science/api/pith-number/IT6OINXUJA5Q5D7D3IHFTUAEQR/graph.json","fetch_events":"https://pith.science/api/pith-number/IT6OINXUJA5Q5D7D3IHFTUAEQR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IT6OINXUJA5Q5D7D3IHFTUAEQR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IT6OINXUJA5Q5D7D3IHFTUAEQR/action/storage_attestation","attest_author":"https://pith.science/pith/IT6OINXUJA5Q5D7D3IHFTUAEQR/action/author_attestation","sign_citation":"https://pith.science/pith/IT6OINXUJA5Q5D7D3IHFTUAEQR/action/citation_signature","submit_replication":"https://pith.science/pith/IT6OINXUJA5Q5D7D3IHFTUAEQR/action/replication_record"}},"created_at":"2026-05-18T04:14:29.325664+00:00","updated_at":"2026-05-18T04:14:29.325664+00:00"}