{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:66QPY7TMC36CBBLAMBFLII27GA","short_pith_number":"pith:66QPY7TM","schema_version":"1.0","canonical_sha256":"f7a0fc7e6c16fc208560604ab4235f3038265ef3056883075364e00d8ed4fd2b","source":{"kind":"arxiv","id":"1411.2520","version":1},"attestation_state":"computed","paper":{"title":"Local-global compatibility for regular algebraic cuspidal automorphic representation when $\\ell \\neq p$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ila Varma","submitted_at":"2014-11-10T18:20:29Z","abstract_excerpt":"We prove the compatibility of local and global Langlands correspondences for $GL_n$ up to semisimplification for the Galois representations constructed by Harris-Lan-Taylor-Thorne and Scholze. More precisely, let $r_p(\\pi)$ denote an $n$-dimensional $p$-adic representation of the Galois group of a CM field $F$ attached to a regular algebraic cuspidal automorphic representation $\\pi$ of $GL_n(\\mathbb{A}_F)$. We show that the restriction of $r_p(\\pi)$ to the decomposition group of a place $v\\nmid p$ of $F$ corresponds up to semisimplification to $rec(\\pi_v)$, the image of $\\pi_v$ under the local"},"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":"1411.2520","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-11-10T18:20:29Z","cross_cats_sorted":[],"title_canon_sha256":"86d25e59f1e624855967d5a2e3fd4dc1f699e3c908de937ac57eecd1e4a25ae7","abstract_canon_sha256":"5a8a7cb3e8632250d91c863ff64a971b69cad9e1a752508c0c2dc8ebee4296e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:01.221802Z","signature_b64":"53UQBLsr00YeGveC+kU9htcFqhELwOYfmw2rlpiVnFvACdkajZsz8j4UuOu0C1pG/xFwb+L5RFhz6gp461ivCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7a0fc7e6c16fc208560604ab4235f3038265ef3056883075364e00d8ed4fd2b","last_reissued_at":"2026-05-18T02:38:01.221325Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:01.221325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local-global compatibility for regular algebraic cuspidal automorphic representation when $\\ell \\neq p$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ila Varma","submitted_at":"2014-11-10T18:20:29Z","abstract_excerpt":"We prove the compatibility of local and global Langlands correspondences for $GL_n$ up to semisimplification for the Galois representations constructed by Harris-Lan-Taylor-Thorne and Scholze. More precisely, let $r_p(\\pi)$ denote an $n$-dimensional $p$-adic representation of the Galois group of a CM field $F$ attached to a regular algebraic cuspidal automorphic representation $\\pi$ of $GL_n(\\mathbb{A}_F)$. We show that the restriction of $r_p(\\pi)$ to the decomposition group of a place $v\\nmid p$ of $F$ corresponds up to semisimplification to $rec(\\pi_v)$, the image of $\\pi_v$ under the local"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2520","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":"1411.2520","created_at":"2026-05-18T02:38:01.221391+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.2520v1","created_at":"2026-05-18T02:38:01.221391+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2520","created_at":"2026-05-18T02:38:01.221391+00:00"},{"alias_kind":"pith_short_12","alias_value":"66QPY7TMC36C","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"66QPY7TMC36CBBLA","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"66QPY7TM","created_at":"2026-05-18T12:28:16.859392+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/66QPY7TMC36CBBLAMBFLII27GA","json":"https://pith.science/pith/66QPY7TMC36CBBLAMBFLII27GA.json","graph_json":"https://pith.science/api/pith-number/66QPY7TMC36CBBLAMBFLII27GA/graph.json","events_json":"https://pith.science/api/pith-number/66QPY7TMC36CBBLAMBFLII27GA/events.json","paper":"https://pith.science/paper/66QPY7TM"},"agent_actions":{"view_html":"https://pith.science/pith/66QPY7TMC36CBBLAMBFLII27GA","download_json":"https://pith.science/pith/66QPY7TMC36CBBLAMBFLII27GA.json","view_paper":"https://pith.science/paper/66QPY7TM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.2520&json=true","fetch_graph":"https://pith.science/api/pith-number/66QPY7TMC36CBBLAMBFLII27GA/graph.json","fetch_events":"https://pith.science/api/pith-number/66QPY7TMC36CBBLAMBFLII27GA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/66QPY7TMC36CBBLAMBFLII27GA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/66QPY7TMC36CBBLAMBFLII27GA/action/storage_attestation","attest_author":"https://pith.science/pith/66QPY7TMC36CBBLAMBFLII27GA/action/author_attestation","sign_citation":"https://pith.science/pith/66QPY7TMC36CBBLAMBFLII27GA/action/citation_signature","submit_replication":"https://pith.science/pith/66QPY7TMC36CBBLAMBFLII27GA/action/replication_record"}},"created_at":"2026-05-18T02:38:01.221391+00:00","updated_at":"2026-05-18T02:38:01.221391+00:00"}