{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VGLCJ323CPSY6KSIJIUHX6GC3Z","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":"40fbc9818ec89216cf01b1f50e25bfa343c4e0f54f813f519f8957021a04d2f4","cross_cats_sorted":["math.AG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-05-10T03:46:14Z","title_canon_sha256":"e914416c58c9d0ec7e5e97eb96cabd6ce2bd8155f067f6167354c992cb416916"},"schema_version":"1.0","source":{"id":"1105.1849","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.1849","created_at":"2026-05-18T04:22:10Z"},{"alias_kind":"arxiv_version","alias_value":"1105.1849v1","created_at":"2026-05-18T04:22:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1849","created_at":"2026-05-18T04:22:10Z"},{"alias_kind":"pith_short_12","alias_value":"VGLCJ323CPSY","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VGLCJ323CPSY6KSI","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VGLCJ323","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:d540056f598f3f388d11f784d1e044049305ba4fe2b2167d87b24a23d8a29937","target":"graph","created_at":"2026-05-18T04:22:10Z","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 the spirit of Fakhruddin (arXiv:math/0212208v1) and Szpiro-Bhatnagar (arXiv:1010.2715v1), we show that for an equicharacteristic complete local ring A, with a given embedding of Spec(A) in the prime spectrum Spec(R) of some complete regular local ring R, any finite self map of A can be lifted to a finite self map of R, keeping the given embedding.","authors_text":"Lucien Szpiro, Mahdi Majidi-Zolbanin, Nikita Miasnikov","cross_cats":["math.AG","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-05-10T03:46:14Z","title":"Lifting finite self maps of equicharacteristic complete local rings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1849","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":"sha256:1a4c92a8668adf66494f11ca697b7d6981a647bc5f5e8fa8859ccb453b4f4817","target":"record","created_at":"2026-05-18T04:22:10Z","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":"40fbc9818ec89216cf01b1f50e25bfa343c4e0f54f813f519f8957021a04d2f4","cross_cats_sorted":["math.AG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-05-10T03:46:14Z","title_canon_sha256":"e914416c58c9d0ec7e5e97eb96cabd6ce2bd8155f067f6167354c992cb416916"},"schema_version":"1.0","source":{"id":"1105.1849","kind":"arxiv","version":1}},"canonical_sha256":"a99624ef5b13e58f2a484a287bf8c2de52b2c7334cac797e878a6561fe545187","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a99624ef5b13e58f2a484a287bf8c2de52b2c7334cac797e878a6561fe545187","first_computed_at":"2026-05-18T04:22:10.767953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:10.767953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"keWFUfvCB1zp0De74Piso6wT+gReVINVrwuXAMbpGZ8P0pJ4IKFqt+fTPcifxw2s/y9wyqOIB3Kq5EaeDUaiAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:10.768387Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.1849","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a4c92a8668adf66494f11ca697b7d6981a647bc5f5e8fa8859ccb453b4f4817","sha256:d540056f598f3f388d11f784d1e044049305ba4fe2b2167d87b24a23d8a29937"],"state_sha256":"92ab7f0bd9660e4aadae28fcf87f31df3c66ba0062ebec7f18331f6762a525c5"}