{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:F47LF4S2TV47PIURFKOZZLQFWI","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":"1af870181390a6c05cdead5bd7d9918c04702630c6093b1ac79db69fc74f46c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-04-29T19:34:31Z","title_canon_sha256":"616cac660b3b0c2b752c912102343b35f7da85a45d2dd75d07c57a2a7d7b061c"},"schema_version":"1.0","source":{"id":"1404.7475","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7475","created_at":"2026-05-17T23:45:21Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7475v3","created_at":"2026-05-17T23:45:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7475","created_at":"2026-05-17T23:45:21Z"},{"alias_kind":"pith_short_12","alias_value":"F47LF4S2TV47","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"F47LF4S2TV47PIUR","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"F47LF4S2","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:f5c77fdac7986d47288f5eb0d11c2643a6a293b8f9f94651d591818ec20169a6","target":"graph","created_at":"2026-05-17T23:45:21Z","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 that the theories of fields with Hasse-Schmidt derivations corresponding to actions of formal groups admit model companions. We also give geometric axiomatizations of these model companions.","authors_text":"Daniel Hoffmann, Piotr Kowalski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-04-29T19:34:31Z","title":"Existentially closed fields with G-derivations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7475","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":"sha256:1901ecd45a7e1f3daf59b0388277d56fb5153a5c1b0dc7ddf62be2c5fca95ed4","target":"record","created_at":"2026-05-17T23:45:21Z","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":"1af870181390a6c05cdead5bd7d9918c04702630c6093b1ac79db69fc74f46c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-04-29T19:34:31Z","title_canon_sha256":"616cac660b3b0c2b752c912102343b35f7da85a45d2dd75d07c57a2a7d7b061c"},"schema_version":"1.0","source":{"id":"1404.7475","kind":"arxiv","version":3}},"canonical_sha256":"2f3eb2f25a9d79f7a2912a9d9cae05b23de175b772a378fe816dac6aca923f30","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f3eb2f25a9d79f7a2912a9d9cae05b23de175b772a378fe816dac6aca923f30","first_computed_at":"2026-05-17T23:45:21.410450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:21.410450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5nUr34WGRkVdU+j3etK3R3HDey/L5ZY4u+Eir6PVYUz6V54p7FpMXFHQXOo3P604wGVf2CQN5XjDqgsNyo5VAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:21.411101Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.7475","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1901ecd45a7e1f3daf59b0388277d56fb5153a5c1b0dc7ddf62be2c5fca95ed4","sha256:f5c77fdac7986d47288f5eb0d11c2643a6a293b8f9f94651d591818ec20169a6"],"state_sha256":"a77ef3fd514e454c4bc3ce71e409757a8c7740d4e395eb4c7b8600be708824e1"}