{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:6BSPLDGWODMYC5VCPBHCZMHNY6","short_pith_number":"pith:6BSPLDGW","schema_version":"1.0","canonical_sha256":"f064f58cd670d98176a2784e2cb0edc7a7221aada901ce942b0383e43ef09be0","source":{"kind":"arxiv","id":"1206.1840","version":1},"attestation_state":"computed","paper":{"title":"Modular Representations and Indicators for Bismash Products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Andrea Jedwab, Susan Montgomery","submitted_at":"2012-06-08T19:05:39Z","abstract_excerpt":"We introduce Brauer characters for representations of the bismash products of groups in characteristic p > 0, p not 2 and study their properties analogous to the classical case of finite groups. We then use our results to extend to bismash products a theorem of Thompson on lifting Frobenius-Schur indicators from characteristic p to characteristic 0"},"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":"1206.1840","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-06-08T19:05:39Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"c16606ea5a00d409b1874736490280d900c3d2f93c0cb1f14c9fa3d14128db3d","abstract_canon_sha256":"40bf66ac316ee9bb2106c2988c5f34b63d94e6da9874c419442d75f9c3f8263c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:55.250267Z","signature_b64":"3pfnN/DM9nyIMltQGpOsHpaepsG7NNGq8JzkglFTWaz58f8i0bZdw1T6hBZr0IfvtKLWH75XBoRyW7NnuqlSCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f064f58cd670d98176a2784e2cb0edc7a7221aada901ce942b0383e43ef09be0","last_reissued_at":"2026-05-18T03:53:55.249548Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:55.249548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modular Representations and Indicators for Bismash Products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Andrea Jedwab, Susan Montgomery","submitted_at":"2012-06-08T19:05:39Z","abstract_excerpt":"We introduce Brauer characters for representations of the bismash products of groups in characteristic p > 0, p not 2 and study their properties analogous to the classical case of finite groups. We then use our results to extend to bismash products a theorem of Thompson on lifting Frobenius-Schur indicators from characteristic p to characteristic 0"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1840","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":"1206.1840","created_at":"2026-05-18T03:53:55.249662+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.1840v1","created_at":"2026-05-18T03:53:55.249662+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1840","created_at":"2026-05-18T03:53:55.249662+00:00"},{"alias_kind":"pith_short_12","alias_value":"6BSPLDGWODMY","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_16","alias_value":"6BSPLDGWODMYC5VC","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_8","alias_value":"6BSPLDGW","created_at":"2026-05-18T12:26:56.085431+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/6BSPLDGWODMYC5VCPBHCZMHNY6","json":"https://pith.science/pith/6BSPLDGWODMYC5VCPBHCZMHNY6.json","graph_json":"https://pith.science/api/pith-number/6BSPLDGWODMYC5VCPBHCZMHNY6/graph.json","events_json":"https://pith.science/api/pith-number/6BSPLDGWODMYC5VCPBHCZMHNY6/events.json","paper":"https://pith.science/paper/6BSPLDGW"},"agent_actions":{"view_html":"https://pith.science/pith/6BSPLDGWODMYC5VCPBHCZMHNY6","download_json":"https://pith.science/pith/6BSPLDGWODMYC5VCPBHCZMHNY6.json","view_paper":"https://pith.science/paper/6BSPLDGW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.1840&json=true","fetch_graph":"https://pith.science/api/pith-number/6BSPLDGWODMYC5VCPBHCZMHNY6/graph.json","fetch_events":"https://pith.science/api/pith-number/6BSPLDGWODMYC5VCPBHCZMHNY6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6BSPLDGWODMYC5VCPBHCZMHNY6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6BSPLDGWODMYC5VCPBHCZMHNY6/action/storage_attestation","attest_author":"https://pith.science/pith/6BSPLDGWODMYC5VCPBHCZMHNY6/action/author_attestation","sign_citation":"https://pith.science/pith/6BSPLDGWODMYC5VCPBHCZMHNY6/action/citation_signature","submit_replication":"https://pith.science/pith/6BSPLDGWODMYC5VCPBHCZMHNY6/action/replication_record"}},"created_at":"2026-05-18T03:53:55.249662+00:00","updated_at":"2026-05-18T03:53:55.249662+00:00"}