{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JU3EKMDY3LOSKPAOX4HBJFMFCD","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":"64368c9a06913e33b60357475b8ba4eed635b759e3e93aa1dab30e0e57a470c5","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2012-10-12T18:14:54Z","title_canon_sha256":"e3c41407da76d0ed4f5e78e04f109c8be429bfeb8039f83e9859e9b720982548"},"schema_version":"1.0","source":{"id":"1210.3589","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.3589","created_at":"2026-05-18T03:15:20Z"},{"alias_kind":"arxiv_version","alias_value":"1210.3589v3","created_at":"2026-05-18T03:15:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3589","created_at":"2026-05-18T03:15:20Z"},{"alias_kind":"pith_short_12","alias_value":"JU3EKMDY3LOS","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JU3EKMDY3LOSKPAO","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JU3EKMDY","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:5c1fb822c66563eb26a874f098d448f5df817d13ed7aede5dac81d1518ee7165","target":"graph","created_at":"2026-05-18T03:15:20Z","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 give sufficient conditions for F-injectivity to deform. We show these conditions are met in two common geometrically interesting setting, namely when the special fiber has isolated CM-locus or is F-split.","authors_text":"Jun Horiuchi, Kazuma Shimomoto, Lance Edward Miller","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2012-10-12T18:14:54Z","title":"Deformation of $F$-injectivity and local cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3589","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:b6cad404f36571c6891e392e0d44707b3095ddabd346264ad3922fadc1819d0a","target":"record","created_at":"2026-05-18T03:15:20Z","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":"64368c9a06913e33b60357475b8ba4eed635b759e3e93aa1dab30e0e57a470c5","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2012-10-12T18:14:54Z","title_canon_sha256":"e3c41407da76d0ed4f5e78e04f109c8be429bfeb8039f83e9859e9b720982548"},"schema_version":"1.0","source":{"id":"1210.3589","kind":"arxiv","version":3}},"canonical_sha256":"4d36453078dadd253c0ebf0e14958510e202f28b9fc717bfd5d6f1a80deb3ffd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d36453078dadd253c0ebf0e14958510e202f28b9fc717bfd5d6f1a80deb3ffd","first_computed_at":"2026-05-18T03:15:20.984056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:20.984056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8krbaHtrqzSz2AMqx2kpRdtiy71GLwEenX4e8XnIxiph3KQ8ioVhvcR+8d6HgQLOJeQU8oSWTCsuQyR15Rf4Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:20.984730Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.3589","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6cad404f36571c6891e392e0d44707b3095ddabd346264ad3922fadc1819d0a","sha256:5c1fb822c66563eb26a874f098d448f5df817d13ed7aede5dac81d1518ee7165"],"state_sha256":"44584180a23e6f17275f5262051bdcb42584d3569f6b15376dd6475231bc8a19"}