{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BKD36CLPBGMFLJ4K6NITDDJMW3","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":"4363872e7ba8e01b06aa133ad13aa05861fb2a05968dcba9f5350cf76a87de75","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-08-26T20:45:40Z","title_canon_sha256":"2424c17bd02157793821c166e30b3ea77a656c444122b193a6345358e93265b9"},"schema_version":"1.0","source":{"id":"1408.6254","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6254","created_at":"2026-05-18T02:44:07Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6254v1","created_at":"2026-05-18T02:44:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6254","created_at":"2026-05-18T02:44:07Z"},{"alias_kind":"pith_short_12","alias_value":"BKD36CLPBGMF","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BKD36CLPBGMFLJ4K","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BKD36CLP","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:0204850b3a409423747d82e01e91d119190b3c238d1052e061a56fda61181c06","target":"graph","created_at":"2026-05-18T02:44:07Z","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":"In this article, we prove a conductor formula in a geometric situation that generalizes the Grothendieck-Ogg-Shafarevich formula. Our approach uses the ramification theory of Abbes and Saito, and relies on Tsushima's refined characteristic class.","authors_text":"Haoyu Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-08-26T20:45:40Z","title":"Refined characteristic class and conductor formula"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6254","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":"sha256:373a3fc3cd247371228418c5c6806a5add6af8f4f15f6f095b5f74dd7ce8b36f","target":"record","created_at":"2026-05-18T02:44:07Z","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":"4363872e7ba8e01b06aa133ad13aa05861fb2a05968dcba9f5350cf76a87de75","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-08-26T20:45:40Z","title_canon_sha256":"2424c17bd02157793821c166e30b3ea77a656c444122b193a6345358e93265b9"},"schema_version":"1.0","source":{"id":"1408.6254","kind":"arxiv","version":1}},"canonical_sha256":"0a87bf096f099855a78af351318d2cb6ec1bd0f7259555d064ae323b408806b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a87bf096f099855a78af351318d2cb6ec1bd0f7259555d064ae323b408806b3","first_computed_at":"2026-05-18T02:44:07.932037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:07.932037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tDvHeoK77T97M1MPNZ1hYAy2Yqm+yi8Vvdb8mNxFBIl0ETPCqIQvVAuPrhSsskUiXa+4A67UGFt+e50ACLPYDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:07.932558Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.6254","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:373a3fc3cd247371228418c5c6806a5add6af8f4f15f6f095b5f74dd7ce8b36f","sha256:0204850b3a409423747d82e01e91d119190b3c238d1052e061a56fda61181c06"],"state_sha256":"a17c5713f4b297714f6794d689aafaf62231a70a40f8f39e00e852243c2d3265"}