{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:B7FXIUWTAHNFCBUE7KNDVJX743","short_pith_number":"pith:B7FXIUWT","schema_version":"1.0","canonical_sha256":"0fcb7452d301da510684fa9a3aa6ffe6cc931e099608b6d57cbcad344759e4ea","source":{"kind":"arxiv","id":"1208.1034","version":2},"attestation_state":"computed","paper":{"title":"Classicality for small slope overconvergent automorphic forms on some compact PEL Shimura varieties of type C","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Christian Johansson","submitted_at":"2012-08-05T16:14:38Z","abstract_excerpt":"We study the rigid cohomology of the ordinary locus in some compact PEL Shimura varieties of type C with values in automorphic local systems and use it to prove a small slope criterion for classicality of overconvergent Hecke eigenforms. This generalises the work of Coleman, and is a first step in an ongoing project to extend the cohomological approach to classicality to higher-dimensional Shimura varieties."},"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":"1208.1034","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-08-05T16:14:38Z","cross_cats_sorted":[],"title_canon_sha256":"3813c9bf579960d4921b05080bc355b1d8a4f834b0e31f4a98e6fd85b05a3c68","abstract_canon_sha256":"5e377f18684549dc74b935a3a8d972ef82d06a7675d02e4fe2063198a6003a43"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:04.367860Z","signature_b64":"6YpIO4I/EX8mTRYMXAdhvh0D3VreBkoa/aA/40UYPbRxpqwXdZfuqlHI+O7F9eceBLUBa0+lXakisJjdbS3YAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fcb7452d301da510684fa9a3aa6ffe6cc931e099608b6d57cbcad344759e4ea","last_reissued_at":"2026-05-18T03:36:04.367185Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:04.367185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classicality for small slope overconvergent automorphic forms on some compact PEL Shimura varieties of type C","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Christian Johansson","submitted_at":"2012-08-05T16:14:38Z","abstract_excerpt":"We study the rigid cohomology of the ordinary locus in some compact PEL Shimura varieties of type C with values in automorphic local systems and use it to prove a small slope criterion for classicality of overconvergent Hecke eigenforms. This generalises the work of Coleman, and is a first step in an ongoing project to extend the cohomological approach to classicality to higher-dimensional Shimura varieties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1034","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":"1208.1034","created_at":"2026-05-18T03:36:04.367300+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.1034v2","created_at":"2026-05-18T03:36:04.367300+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1034","created_at":"2026-05-18T03:36:04.367300+00:00"},{"alias_kind":"pith_short_12","alias_value":"B7FXIUWTAHNF","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"B7FXIUWTAHNFCBUE","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"B7FXIUWT","created_at":"2026-05-18T12:26:58.693483+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/B7FXIUWTAHNFCBUE7KNDVJX743","json":"https://pith.science/pith/B7FXIUWTAHNFCBUE7KNDVJX743.json","graph_json":"https://pith.science/api/pith-number/B7FXIUWTAHNFCBUE7KNDVJX743/graph.json","events_json":"https://pith.science/api/pith-number/B7FXIUWTAHNFCBUE7KNDVJX743/events.json","paper":"https://pith.science/paper/B7FXIUWT"},"agent_actions":{"view_html":"https://pith.science/pith/B7FXIUWTAHNFCBUE7KNDVJX743","download_json":"https://pith.science/pith/B7FXIUWTAHNFCBUE7KNDVJX743.json","view_paper":"https://pith.science/paper/B7FXIUWT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.1034&json=true","fetch_graph":"https://pith.science/api/pith-number/B7FXIUWTAHNFCBUE7KNDVJX743/graph.json","fetch_events":"https://pith.science/api/pith-number/B7FXIUWTAHNFCBUE7KNDVJX743/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B7FXIUWTAHNFCBUE7KNDVJX743/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B7FXIUWTAHNFCBUE7KNDVJX743/action/storage_attestation","attest_author":"https://pith.science/pith/B7FXIUWTAHNFCBUE7KNDVJX743/action/author_attestation","sign_citation":"https://pith.science/pith/B7FXIUWTAHNFCBUE7KNDVJX743/action/citation_signature","submit_replication":"https://pith.science/pith/B7FXIUWTAHNFCBUE7KNDVJX743/action/replication_record"}},"created_at":"2026-05-18T03:36:04.367300+00:00","updated_at":"2026-05-18T03:36:04.367300+00:00"}