{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DZD6HKKA7WCYHOL7T3LF5QFSKQ","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":"4e7d259434eb6db86355ca7f8b844593e01c068052aa389c546b8c7a84cee4ab","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-08-08T07:20:30Z","title_canon_sha256":"c1e9a17c9a68c608fbe262f98b132d0ce32d2fb35a5e3be33609b5a84bbf394f"},"schema_version":"1.0","source":{"id":"1508.01862","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.01862","created_at":"2026-05-18T01:35:37Z"},{"alias_kind":"arxiv_version","alias_value":"1508.01862v1","created_at":"2026-05-18T01:35:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01862","created_at":"2026-05-18T01:35:37Z"},{"alias_kind":"pith_short_12","alias_value":"DZD6HKKA7WCY","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DZD6HKKA7WCYHOL7","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DZD6HKKA","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:cac2644a9f4a8be6f808ff7109cb7a2f9042dc04bd269e52949d0c2668809866","target":"graph","created_at":"2026-05-18T01:35:37Z","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":"We prove a big monodromy result for a smooth family of complex algebraic surfaces of general type, with invariants p_g=q=1 and K^2=3, that has been introduced by Catanese and Ciliberto. This is accomplished via a careful study of degenerations. As corollaries, when a surface in this family is defined over a finitely generated extension of Q, we verify the semisimplicity and Tate conjectures for the Galois representation on the middle \\ell-adic cohomology of the surface.","authors_text":"Christopher Lyons","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-08-08T07:20:30Z","title":"The Tate Conjecture for a family of surfaces of general type with p_g=q=1 and K^2=3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01862","kind":"arxiv","version":1},"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":"sha256:0177c982c17eb6085895e09cc3e1d0779d0d93fd2981a6ad66058b8f4d70d9f7","target":"record","created_at":"2026-05-18T01:35:37Z","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":"4e7d259434eb6db86355ca7f8b844593e01c068052aa389c546b8c7a84cee4ab","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-08-08T07:20:30Z","title_canon_sha256":"c1e9a17c9a68c608fbe262f98b132d0ce32d2fb35a5e3be33609b5a84bbf394f"},"schema_version":"1.0","source":{"id":"1508.01862","kind":"arxiv","version":1}},"canonical_sha256":"1e47e3a940fd8583b97f9ed65ec0b25429ab730e56ae5c8c90ee218a1a2ddd62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e47e3a940fd8583b97f9ed65ec0b25429ab730e56ae5c8c90ee218a1a2ddd62","first_computed_at":"2026-05-18T01:35:37.731158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:37.731158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4MlGajkqLVozs9lkXyg1OEbMwGdiGu66BixzmOY7LVKdjDkUz0aitNlNzhhEfTQO8O7zd/SH19cYnMV3XODtAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:37.731714Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.01862","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0177c982c17eb6085895e09cc3e1d0779d0d93fd2981a6ad66058b8f4d70d9f7","sha256:cac2644a9f4a8be6f808ff7109cb7a2f9042dc04bd269e52949d0c2668809866"],"state_sha256":"324f08cc2b045b43d18368879d978228c7e866d5e8c3b49ba1e40b28b9ccf450"}