{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:J67C3R3TSXP7PQRQDFT5N4GI4G","short_pith_number":"pith:J67C3R3T","schema_version":"1.0","canonical_sha256":"4fbe2dc77395dff7c2301967d6f0c8e189ff5b2d69ac925229ed9a75ff6bb1ec","source":{"kind":"arxiv","id":"1111.2479","version":1},"attestation_state":"computed","paper":{"title":"Langlands program for $p$-adic coefficients and the petites camarades conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Tomoyuki Abe","submitted_at":"2011-11-10T14:16:19Z","abstract_excerpt":"In this paper, we prove that, if Deligne's \"petites camarades conjecture\" holds, then a Langlands type correspondence holds also for $p$-adic coefficients on a smooth curve over a finite field. We also prove that any overconvergent $F$-isocrystal of rank less than or equal to 2 on a smooth variety is $\\iota$-mixed."},"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":"1111.2479","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-10T14:16:19Z","cross_cats_sorted":[],"title_canon_sha256":"70b237c2c92773ccd0142a01a6137611027b486cccd8584ea49f8e190f3e3880","abstract_canon_sha256":"b6eb37f3b243342a12122411715ddb2df737d0a947035b97e605bbdb282e81e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:34.039396Z","signature_b64":"i0MEWGfCoGa7pq4B1uSokvWJkXOQsjK0naNYrI4gq6ZvlopL/7C/ze8RTI+TZ2+riOZVL1jqDZZHzCbTYo9/Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fbe2dc77395dff7c2301967d6f0c8e189ff5b2d69ac925229ed9a75ff6bb1ec","last_reissued_at":"2026-05-18T04:08:34.038926Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:34.038926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Langlands program for $p$-adic coefficients and the petites camarades conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Tomoyuki Abe","submitted_at":"2011-11-10T14:16:19Z","abstract_excerpt":"In this paper, we prove that, if Deligne's \"petites camarades conjecture\" holds, then a Langlands type correspondence holds also for $p$-adic coefficients on a smooth curve over a finite field. We also prove that any overconvergent $F$-isocrystal of rank less than or equal to 2 on a smooth variety is $\\iota$-mixed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2479","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":"1111.2479","created_at":"2026-05-18T04:08:34.039004+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.2479v1","created_at":"2026-05-18T04:08:34.039004+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2479","created_at":"2026-05-18T04:08:34.039004+00:00"},{"alias_kind":"pith_short_12","alias_value":"J67C3R3TSXP7","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"J67C3R3TSXP7PQRQ","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"J67C3R3T","created_at":"2026-05-18T12:26:32.869790+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/J67C3R3TSXP7PQRQDFT5N4GI4G","json":"https://pith.science/pith/J67C3R3TSXP7PQRQDFT5N4GI4G.json","graph_json":"https://pith.science/api/pith-number/J67C3R3TSXP7PQRQDFT5N4GI4G/graph.json","events_json":"https://pith.science/api/pith-number/J67C3R3TSXP7PQRQDFT5N4GI4G/events.json","paper":"https://pith.science/paper/J67C3R3T"},"agent_actions":{"view_html":"https://pith.science/pith/J67C3R3TSXP7PQRQDFT5N4GI4G","download_json":"https://pith.science/pith/J67C3R3TSXP7PQRQDFT5N4GI4G.json","view_paper":"https://pith.science/paper/J67C3R3T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.2479&json=true","fetch_graph":"https://pith.science/api/pith-number/J67C3R3TSXP7PQRQDFT5N4GI4G/graph.json","fetch_events":"https://pith.science/api/pith-number/J67C3R3TSXP7PQRQDFT5N4GI4G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J67C3R3TSXP7PQRQDFT5N4GI4G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J67C3R3TSXP7PQRQDFT5N4GI4G/action/storage_attestation","attest_author":"https://pith.science/pith/J67C3R3TSXP7PQRQDFT5N4GI4G/action/author_attestation","sign_citation":"https://pith.science/pith/J67C3R3TSXP7PQRQDFT5N4GI4G/action/citation_signature","submit_replication":"https://pith.science/pith/J67C3R3TSXP7PQRQDFT5N4GI4G/action/replication_record"}},"created_at":"2026-05-18T04:08:34.039004+00:00","updated_at":"2026-05-18T04:08:34.039004+00:00"}