{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:TVK3FRKB575FGODDVD5M6GOIKB","short_pith_number":"pith:TVK3FRKB","schema_version":"1.0","canonical_sha256":"9d55b2c541effa533863a8facf19c8504f9f64adbad590c613c9ba0c60e6271b","source":{"kind":"arxiv","id":"1905.01949","version":2},"attestation_state":"computed","paper":{"title":"On Representations of Reductive $p$--adic Groups over $\\mathbb Q$--algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Goran Mui\\'c","submitted_at":"2019-05-06T12:13:28Z","abstract_excerpt":"In this paper we study certain category of smooth modules for reductive $p$--adic groups analogous to the usual smooth complex representations but with the field of complex numbers replaced by a $\\mathbb Q$--algebra. We prove some fundamental results in these settings, and as an example we give a classification of admissible unramified irreducible representations proving by reduction to the complex case that if the space of $K$--invariants is finite dimensional in an irreducible smooth unramified representation that the representation is admissible."},"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":"1905.01949","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-05-06T12:13:28Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"7a4e305f6b00460aa704c7c62120b181461eabbcbab110d3be91a7d8efe3045e","abstract_canon_sha256":"f56ba58cefd65dbe453450abf4ef866df47124e58fa48d143af538d005d797d9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:31.841936Z","signature_b64":"cCSjezidBf/a7LKVdqc3oZ7x30hflPkG5xVnSVGvfTWVeqIx7Roqu4gsinv2u92Axx8R2S/3MlxCp98F7KADDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d55b2c541effa533863a8facf19c8504f9f64adbad590c613c9ba0c60e6271b","last_reissued_at":"2026-05-17T23:46:31.841419Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:31.841419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Representations of Reductive $p$--adic Groups over $\\mathbb Q$--algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Goran Mui\\'c","submitted_at":"2019-05-06T12:13:28Z","abstract_excerpt":"In this paper we study certain category of smooth modules for reductive $p$--adic groups analogous to the usual smooth complex representations but with the field of complex numbers replaced by a $\\mathbb Q$--algebra. We prove some fundamental results in these settings, and as an example we give a classification of admissible unramified irreducible representations proving by reduction to the complex case that if the space of $K$--invariants is finite dimensional in an irreducible smooth unramified representation that the representation is admissible."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.01949","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":"1905.01949","created_at":"2026-05-17T23:46:31.841498+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.01949v2","created_at":"2026-05-17T23:46:31.841498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.01949","created_at":"2026-05-17T23:46:31.841498+00:00"},{"alias_kind":"pith_short_12","alias_value":"TVK3FRKB575F","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"TVK3FRKB575FGODD","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"TVK3FRKB","created_at":"2026-05-18T12:33:30.264802+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/TVK3FRKB575FGODDVD5M6GOIKB","json":"https://pith.science/pith/TVK3FRKB575FGODDVD5M6GOIKB.json","graph_json":"https://pith.science/api/pith-number/TVK3FRKB575FGODDVD5M6GOIKB/graph.json","events_json":"https://pith.science/api/pith-number/TVK3FRKB575FGODDVD5M6GOIKB/events.json","paper":"https://pith.science/paper/TVK3FRKB"},"agent_actions":{"view_html":"https://pith.science/pith/TVK3FRKB575FGODDVD5M6GOIKB","download_json":"https://pith.science/pith/TVK3FRKB575FGODDVD5M6GOIKB.json","view_paper":"https://pith.science/paper/TVK3FRKB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.01949&json=true","fetch_graph":"https://pith.science/api/pith-number/TVK3FRKB575FGODDVD5M6GOIKB/graph.json","fetch_events":"https://pith.science/api/pith-number/TVK3FRKB575FGODDVD5M6GOIKB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TVK3FRKB575FGODDVD5M6GOIKB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TVK3FRKB575FGODDVD5M6GOIKB/action/storage_attestation","attest_author":"https://pith.science/pith/TVK3FRKB575FGODDVD5M6GOIKB/action/author_attestation","sign_citation":"https://pith.science/pith/TVK3FRKB575FGODDVD5M6GOIKB/action/citation_signature","submit_replication":"https://pith.science/pith/TVK3FRKB575FGODDVD5M6GOIKB/action/replication_record"}},"created_at":"2026-05-17T23:46:31.841498+00:00","updated_at":"2026-05-17T23:46:31.841498+00:00"}