{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ZMP4FS5MJ2LWZJ3XOVDIP426RI","short_pith_number":"pith:ZMP4FS5M","schema_version":"1.0","canonical_sha256":"cb1fc2cbac4e976ca777754687f35e8a271ed4e3430ee547cf1f6c3f2ca60db7","source":{"kind":"arxiv","id":"1205.4859","version":4},"attestation_state":"computed","paper":{"title":"On a question of Drinfeld on the Weil representation I: the finite field case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Chun-Hui Wang","submitted_at":"2012-05-22T09:55:36Z","abstract_excerpt":"Let F be a finite field of odd cardinality, and let G= GL2(F). The group G \\times G \\times G acts on F^2 \\otimes F^2 \\otimes F^2 via symplectic similitudes, and has a natural Weil representation. Answering a question rasised by V. Drinfeld, we decompose that representation into irreducibles. We also decompose the analogous representation of GL2(A), where A is a cubic algebra over 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":"1205.4859","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-05-22T09:55:36Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"152b1f4411f8702abf055189241981df3f97c676ada430151f37c4d8d2c2516a","abstract_canon_sha256":"aea9027a8730bda3341f922ec50fc4190bd8b4fd29c487b08775985722bd1986"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:24.568906Z","signature_b64":"9Xx9Ch6aF8eDLeAbKZAi2pEg3U8S06U2ZwTXI1Zu/owsvw1rm71GBgZoAYfqRIY6cULPVJJ3rJOIu1Apru9UCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb1fc2cbac4e976ca777754687f35e8a271ed4e3430ee547cf1f6c3f2ca60db7","last_reissued_at":"2026-05-18T01:57:24.568497Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:24.568497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a question of Drinfeld on the Weil representation I: the finite field case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Chun-Hui Wang","submitted_at":"2012-05-22T09:55:36Z","abstract_excerpt":"Let F be a finite field of odd cardinality, and let G= GL2(F). The group G \\times G \\times G acts on F^2 \\otimes F^2 \\otimes F^2 via symplectic similitudes, and has a natural Weil representation. Answering a question rasised by V. Drinfeld, we decompose that representation into irreducibles. We also decompose the analogous representation of GL2(A), where A is a cubic algebra over F."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4859","kind":"arxiv","version":4},"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":"1205.4859","created_at":"2026-05-18T01:57:24.568559+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.4859v4","created_at":"2026-05-18T01:57:24.568559+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4859","created_at":"2026-05-18T01:57:24.568559+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZMP4FS5MJ2LW","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZMP4FS5MJ2LWZJ3X","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZMP4FS5M","created_at":"2026-05-18T12:27:30.460161+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/ZMP4FS5MJ2LWZJ3XOVDIP426RI","json":"https://pith.science/pith/ZMP4FS5MJ2LWZJ3XOVDIP426RI.json","graph_json":"https://pith.science/api/pith-number/ZMP4FS5MJ2LWZJ3XOVDIP426RI/graph.json","events_json":"https://pith.science/api/pith-number/ZMP4FS5MJ2LWZJ3XOVDIP426RI/events.json","paper":"https://pith.science/paper/ZMP4FS5M"},"agent_actions":{"view_html":"https://pith.science/pith/ZMP4FS5MJ2LWZJ3XOVDIP426RI","download_json":"https://pith.science/pith/ZMP4FS5MJ2LWZJ3XOVDIP426RI.json","view_paper":"https://pith.science/paper/ZMP4FS5M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.4859&json=true","fetch_graph":"https://pith.science/api/pith-number/ZMP4FS5MJ2LWZJ3XOVDIP426RI/graph.json","fetch_events":"https://pith.science/api/pith-number/ZMP4FS5MJ2LWZJ3XOVDIP426RI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZMP4FS5MJ2LWZJ3XOVDIP426RI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZMP4FS5MJ2LWZJ3XOVDIP426RI/action/storage_attestation","attest_author":"https://pith.science/pith/ZMP4FS5MJ2LWZJ3XOVDIP426RI/action/author_attestation","sign_citation":"https://pith.science/pith/ZMP4FS5MJ2LWZJ3XOVDIP426RI/action/citation_signature","submit_replication":"https://pith.science/pith/ZMP4FS5MJ2LWZJ3XOVDIP426RI/action/replication_record"}},"created_at":"2026-05-18T01:57:24.568559+00:00","updated_at":"2026-05-18T01:57:24.568559+00:00"}