{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3VZNOF4P7WAKYHABWP5XAAJKPJ","short_pith_number":"pith:3VZNOF4P","schema_version":"1.0","canonical_sha256":"dd72d7178ffd80ac1c01b3fb70012a7a5e477c22b3f90eee4841f9273fcf1d45","source":{"kind":"arxiv","id":"1405.3026","version":1},"attestation_state":"computed","paper":{"title":"Ordinary representations and companion points for U(3) in the indecomposable case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"John Bergdall, Przemyslaw Chojecki","submitted_at":"2014-05-13T03:38:26Z","abstract_excerpt":"We prove that certain p-adic Banach representations, associated to local ordinary Galois representations, constructed by Breuil and Herzig appears in the completed cohomology of a definite unitary group in three variables. This confirms part of their conjecture. Our main technique is making use of p-adic automorphic forms for definite unitary groups and the eigenvarieties which parameterize them."},"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":"1405.3026","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-05-13T03:38:26Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"6a9b9da5b291fb230bb7eb6daef6e53f7f9615152a42c2fd852d65d80448e4aa","abstract_canon_sha256":"0f2fc7bc79bac4805b61d1291634644fa10674eaba6007c2575292bed3030660"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:57.922726Z","signature_b64":"RepYXChGh5e9Ga718bUfLMPSiBbbZYjVC0hMDjTRxnW/m+4hODLVmW0m6Ao3IrVYb11BlY6QGbslDyqttYdCAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd72d7178ffd80ac1c01b3fb70012a7a5e477c22b3f90eee4841f9273fcf1d45","last_reissued_at":"2026-05-18T02:51:57.922280Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:57.922280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ordinary representations and companion points for U(3) in the indecomposable case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"John Bergdall, Przemyslaw Chojecki","submitted_at":"2014-05-13T03:38:26Z","abstract_excerpt":"We prove that certain p-adic Banach representations, associated to local ordinary Galois representations, constructed by Breuil and Herzig appears in the completed cohomology of a definite unitary group in three variables. This confirms part of their conjecture. Our main technique is making use of p-adic automorphic forms for definite unitary groups and the eigenvarieties which parameterize them."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3026","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":"1405.3026","created_at":"2026-05-18T02:51:57.922344+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.3026v1","created_at":"2026-05-18T02:51:57.922344+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3026","created_at":"2026-05-18T02:51:57.922344+00:00"},{"alias_kind":"pith_short_12","alias_value":"3VZNOF4P7WAK","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3VZNOF4P7WAKYHAB","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3VZNOF4P","created_at":"2026-05-18T12:28:11.866339+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/3VZNOF4P7WAKYHABWP5XAAJKPJ","json":"https://pith.science/pith/3VZNOF4P7WAKYHABWP5XAAJKPJ.json","graph_json":"https://pith.science/api/pith-number/3VZNOF4P7WAKYHABWP5XAAJKPJ/graph.json","events_json":"https://pith.science/api/pith-number/3VZNOF4P7WAKYHABWP5XAAJKPJ/events.json","paper":"https://pith.science/paper/3VZNOF4P"},"agent_actions":{"view_html":"https://pith.science/pith/3VZNOF4P7WAKYHABWP5XAAJKPJ","download_json":"https://pith.science/pith/3VZNOF4P7WAKYHABWP5XAAJKPJ.json","view_paper":"https://pith.science/paper/3VZNOF4P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.3026&json=true","fetch_graph":"https://pith.science/api/pith-number/3VZNOF4P7WAKYHABWP5XAAJKPJ/graph.json","fetch_events":"https://pith.science/api/pith-number/3VZNOF4P7WAKYHABWP5XAAJKPJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3VZNOF4P7WAKYHABWP5XAAJKPJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3VZNOF4P7WAKYHABWP5XAAJKPJ/action/storage_attestation","attest_author":"https://pith.science/pith/3VZNOF4P7WAKYHABWP5XAAJKPJ/action/author_attestation","sign_citation":"https://pith.science/pith/3VZNOF4P7WAKYHABWP5XAAJKPJ/action/citation_signature","submit_replication":"https://pith.science/pith/3VZNOF4P7WAKYHABWP5XAAJKPJ/action/replication_record"}},"created_at":"2026-05-18T02:51:57.922344+00:00","updated_at":"2026-05-18T02:51:57.922344+00:00"}