{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:UMDGL436SJ44OB2XZJPK57B4MW","short_pith_number":"pith:UMDGL436","schema_version":"1.0","canonical_sha256":"a30665f37e9279c70757ca5eaefc3c65b66c94fba2e3c95e4aad6309b561c35e","source":{"kind":"arxiv","id":"1508.01598","version":2},"attestation_state":"computed","paper":{"title":"Big image of Galois representations associated with finite slope $p$-adic families of modular forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Adrian Iovita, Andrea Conti, Jacques Tilouine","submitted_at":"2015-08-07T04:16:02Z","abstract_excerpt":"We consider the Galois representation associated with a finite slope $p$-adic family of modular forms. We prove that the Lie algebra of its image contains a congruence Lie subalgebra of a non-trivial level. We describe the largest such level in terms of the congruences of the family with $p$-adic CM forms."},"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":"1508.01598","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-08-07T04:16:02Z","cross_cats_sorted":[],"title_canon_sha256":"1e0c6f57c84f1b798559113ef9c04e36bef05047cc57c68f18d3b1d26a2a3f45","abstract_canon_sha256":"8481bf0d7fea0ee8ec50f4f8dea5414795076d6c1c26fde5115152a9e9f1748a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:34.466246Z","signature_b64":"fuw9sfVaJKcd0ZOZhRS4O/NBh7sazldo0eCnuQFaqL+Jn4Jl9AKdZYKtzU/Sk4KRDj26C90wIySckGK/aGWRAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a30665f37e9279c70757ca5eaefc3c65b66c94fba2e3c95e4aad6309b561c35e","last_reissued_at":"2026-05-18T00:55:34.465582Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:34.465582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Big image of Galois representations associated with finite slope $p$-adic families of modular forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Adrian Iovita, Andrea Conti, Jacques Tilouine","submitted_at":"2015-08-07T04:16:02Z","abstract_excerpt":"We consider the Galois representation associated with a finite slope $p$-adic family of modular forms. We prove that the Lie algebra of its image contains a congruence Lie subalgebra of a non-trivial level. We describe the largest such level in terms of the congruences of the family with $p$-adic CM forms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01598","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":"1508.01598","created_at":"2026-05-18T00:55:34.465718+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.01598v2","created_at":"2026-05-18T00:55:34.465718+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01598","created_at":"2026-05-18T00:55:34.465718+00:00"},{"alias_kind":"pith_short_12","alias_value":"UMDGL436SJ44","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"UMDGL436SJ44OB2X","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"UMDGL436","created_at":"2026-05-18T12:29:44.643036+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/UMDGL436SJ44OB2XZJPK57B4MW","json":"https://pith.science/pith/UMDGL436SJ44OB2XZJPK57B4MW.json","graph_json":"https://pith.science/api/pith-number/UMDGL436SJ44OB2XZJPK57B4MW/graph.json","events_json":"https://pith.science/api/pith-number/UMDGL436SJ44OB2XZJPK57B4MW/events.json","paper":"https://pith.science/paper/UMDGL436"},"agent_actions":{"view_html":"https://pith.science/pith/UMDGL436SJ44OB2XZJPK57B4MW","download_json":"https://pith.science/pith/UMDGL436SJ44OB2XZJPK57B4MW.json","view_paper":"https://pith.science/paper/UMDGL436","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.01598&json=true","fetch_graph":"https://pith.science/api/pith-number/UMDGL436SJ44OB2XZJPK57B4MW/graph.json","fetch_events":"https://pith.science/api/pith-number/UMDGL436SJ44OB2XZJPK57B4MW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UMDGL436SJ44OB2XZJPK57B4MW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UMDGL436SJ44OB2XZJPK57B4MW/action/storage_attestation","attest_author":"https://pith.science/pith/UMDGL436SJ44OB2XZJPK57B4MW/action/author_attestation","sign_citation":"https://pith.science/pith/UMDGL436SJ44OB2XZJPK57B4MW/action/citation_signature","submit_replication":"https://pith.science/pith/UMDGL436SJ44OB2XZJPK57B4MW/action/replication_record"}},"created_at":"2026-05-18T00:55:34.465718+00:00","updated_at":"2026-05-18T00:55:34.465718+00:00"}