{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YZCB4KTU6Y3YNLSZ2ERHYOEOUW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6c1e6fa65217bdc9ed255eb67026b3bd60a82e1e4eaa8cd699432a64d225d53f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-07-30T09:02:10Z","title_canon_sha256":"c5db641c9c58e22bb32b2a13b34cdacb589629e0d042758d5a89dcd80e99d191"},"schema_version":"1.0","source":{"id":"1407.7973","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7973","created_at":"2026-05-18T01:28:14Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7973v3","created_at":"2026-05-18T01:28:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7973","created_at":"2026-05-18T01:28:14Z"},{"alias_kind":"pith_short_12","alias_value":"YZCB4KTU6Y3Y","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"YZCB4KTU6Y3YNLSZ","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"YZCB4KTU","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:2d9323c62b6d9010993825fe566d3c0b42a102968ea98a1b415df8970aca8537","target":"graph","created_at":"2026-05-18T01:28:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Let p>2 be a prime and let X be a compactified PEL Shimura variety of type (A) or (C) such that p is an unramified prime for the PEL datum. Using the geometric approach of Andreatta, Iovita, Pilloni, and Stevens we define the notion of families of overconvergent locally analytic p-adic modular forms of Iwahoric level for X. We show that the system of eigenvalues of any finite slope cuspidal eigenform of Iwahoric level can be deformed to a family of systems of eigenvalues living over an open subset of the weight space. To prove these results, we actually construct eigenvarieties of the expected","authors_text":"Riccardo Brasca","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-07-30T09:02:10Z","title":"Eigenvarieties for cuspforms over PEL type Shimura varieties with dense ordinary locus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7973","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2bda57cf4988774470654c152c42c4de46f572f91bf889dab93279f1ad1ced5e","target":"record","created_at":"2026-05-18T01:28:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6c1e6fa65217bdc9ed255eb67026b3bd60a82e1e4eaa8cd699432a64d225d53f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-07-30T09:02:10Z","title_canon_sha256":"c5db641c9c58e22bb32b2a13b34cdacb589629e0d042758d5a89dcd80e99d191"},"schema_version":"1.0","source":{"id":"1407.7973","kind":"arxiv","version":3}},"canonical_sha256":"c6441e2a74f63786ae59d1227c388ea593f607ed5afd1f50139cfe6bb602dfaf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6441e2a74f63786ae59d1227c388ea593f607ed5afd1f50139cfe6bb602dfaf","first_computed_at":"2026-05-18T01:28:14.879646Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:14.879646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ipi7gFpqIhBqqsvV0kmJm2sMjCW1vUUGbFiXWZIwjTujPq5E2AGVuPPKNFYluKDw8lPhYtKLmJaJJ8dvxJdkDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:14.880364Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7973","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2bda57cf4988774470654c152c42c4de46f572f91bf889dab93279f1ad1ced5e","sha256:2d9323c62b6d9010993825fe566d3c0b42a102968ea98a1b415df8970aca8537"],"state_sha256":"4d94c7d0f999c40c7cbb57df35fe9f48d96b9061ef007a15b11e2f7c30efb6b0"}