{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:L7QS4GIUUKA2SABVAC2II7AOJI","short_pith_number":"pith:L7QS4GIU","schema_version":"1.0","canonical_sha256":"5fe12e1914a281a9003500b4847c0e4a2caf3c66d97a935bb3637998e5463da6","source":{"kind":"arxiv","id":"1204.0579","version":2},"attestation_state":"computed","paper":{"title":"Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Payman L Kassaei, Shu Sasaki, Yichao Tian","submitted_at":"2012-04-03T02:56:32Z","abstract_excerpt":"We extend the modularity lifting result of the arXiv:1111.2804 to allow Galois representations with some ramification at p. We also prove modularity mod 2 and 5 of certain Galois representations. We use these results to prove many new cases of the strong Artin conjecture over totally real fields in which 5 is unramified. As an ingredient of the proof, we provide a general result on the automatic analytic continuation of overconvergent p-adic Hilbert modular forms of finite slope which substantially generalizes a similar result in arXiv:1111.2804."},"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":"1204.0579","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-04-03T02:56:32Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"4c91fa13068dd18192c61610325cc45cb665277f37434a8f395966cc014088ee","abstract_canon_sha256":"5c07bb918ced871974efc3e7daef206642be072ca067303f1c40da752215fca7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:16.321043Z","signature_b64":"qN7mr+KISLaY9H8CkyoHT8MPNFaG44fvLX4aJ6ZH/+aISm+M9VLrormfX+zbd4U+lt86pCy3VDs6OYn0ygUCDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fe12e1914a281a9003500b4847c0e4a2caf3c66d97a935bb3637998e5463da6","last_reissued_at":"2026-05-18T03:25:16.320427Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:16.320427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Payman L Kassaei, Shu Sasaki, Yichao Tian","submitted_at":"2012-04-03T02:56:32Z","abstract_excerpt":"We extend the modularity lifting result of the arXiv:1111.2804 to allow Galois representations with some ramification at p. We also prove modularity mod 2 and 5 of certain Galois representations. We use these results to prove many new cases of the strong Artin conjecture over totally real fields in which 5 is unramified. As an ingredient of the proof, we provide a general result on the automatic analytic continuation of overconvergent p-adic Hilbert modular forms of finite slope which substantially generalizes a similar result in arXiv:1111.2804."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0579","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":"1204.0579","created_at":"2026-05-18T03:25:16.320521+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.0579v2","created_at":"2026-05-18T03:25:16.320521+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0579","created_at":"2026-05-18T03:25:16.320521+00:00"},{"alias_kind":"pith_short_12","alias_value":"L7QS4GIUUKA2","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"L7QS4GIUUKA2SABV","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"L7QS4GIU","created_at":"2026-05-18T12:27:14.488303+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/L7QS4GIUUKA2SABVAC2II7AOJI","json":"https://pith.science/pith/L7QS4GIUUKA2SABVAC2II7AOJI.json","graph_json":"https://pith.science/api/pith-number/L7QS4GIUUKA2SABVAC2II7AOJI/graph.json","events_json":"https://pith.science/api/pith-number/L7QS4GIUUKA2SABVAC2II7AOJI/events.json","paper":"https://pith.science/paper/L7QS4GIU"},"agent_actions":{"view_html":"https://pith.science/pith/L7QS4GIUUKA2SABVAC2II7AOJI","download_json":"https://pith.science/pith/L7QS4GIUUKA2SABVAC2II7AOJI.json","view_paper":"https://pith.science/paper/L7QS4GIU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.0579&json=true","fetch_graph":"https://pith.science/api/pith-number/L7QS4GIUUKA2SABVAC2II7AOJI/graph.json","fetch_events":"https://pith.science/api/pith-number/L7QS4GIUUKA2SABVAC2II7AOJI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L7QS4GIUUKA2SABVAC2II7AOJI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L7QS4GIUUKA2SABVAC2II7AOJI/action/storage_attestation","attest_author":"https://pith.science/pith/L7QS4GIUUKA2SABVAC2II7AOJI/action/author_attestation","sign_citation":"https://pith.science/pith/L7QS4GIUUKA2SABVAC2II7AOJI/action/citation_signature","submit_replication":"https://pith.science/pith/L7QS4GIUUKA2SABVAC2II7AOJI/action/replication_record"}},"created_at":"2026-05-18T03:25:16.320521+00:00","updated_at":"2026-05-18T03:25:16.320521+00:00"}