{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:4LLECW433HDM74KHIF5VSD62V2","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":"c0730989c5ac596f0de0650d55fa6fa78384efe6281aa5a44da193eaeaaa221d","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"1998-03-31T14:59:46Z","title_canon_sha256":"7ae8497a866c3f127522b5782d7d5744050785cfedc3edc6796482d08269f78f"},"schema_version":"1.0","source":{"id":"math/9803152","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9803152","created_at":"2026-05-18T02:54:22Z"},{"alias_kind":"arxiv_version","alias_value":"math/9803152v2","created_at":"2026-05-18T02:54:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9803152","created_at":"2026-05-18T02:54:22Z"},{"alias_kind":"pith_short_12","alias_value":"4LLECW433HDM","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"4LLECW433HDM74KH","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"4LLECW43","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:6c5fe51dec03f852b013de652876d47dfd15d7509f6009206874e44c78e85c96","target":"graph","created_at":"2026-05-18T02:54:22Z","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":"Here we prove that the minimal free resolution of a general space curve of large degree (e.g. a general space curve of degree d and genus g with d g+3, except for finitely many pairs (d,g)) is the expected one. A similar result holds even for general curves with special hyperplane section and, roughly, d g/2. The proof uses the so-called methode d'Horace.","authors_text":"E. Ballico","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"1998-03-31T14:59:46Z","title":"On the minimal free resolution of non-special curves in P^3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9803152","kind":"arxiv","version":2},"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":"sha256:1d2e80756e87999af9e9b08ee3f4b9bf523f135f73136b9c70e9d64378a2be33","target":"record","created_at":"2026-05-18T02:54:22Z","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":"c0730989c5ac596f0de0650d55fa6fa78384efe6281aa5a44da193eaeaaa221d","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"1998-03-31T14:59:46Z","title_canon_sha256":"7ae8497a866c3f127522b5782d7d5744050785cfedc3edc6796482d08269f78f"},"schema_version":"1.0","source":{"id":"math/9803152","kind":"arxiv","version":2}},"canonical_sha256":"e2d6415b9bd9c6cff147417b590fdaae8fb8d50810b39c2cd9588cfc54c16091","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2d6415b9bd9c6cff147417b590fdaae8fb8d50810b39c2cd9588cfc54c16091","first_computed_at":"2026-05-18T02:54:22.545522Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:22.545522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/eBFDUn8kuMGdPs7ZeHziZfai0T2G95I3eSUQGW6BYQ+p47Vz2IadOa8YikpPZazSjvHjCWCtu8U1/dIzImVDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:22.546163Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9803152","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d2e80756e87999af9e9b08ee3f4b9bf523f135f73136b9c70e9d64378a2be33","sha256:6c5fe51dec03f852b013de652876d47dfd15d7509f6009206874e44c78e85c96"],"state_sha256":"2aed2b532a3f9dfd38b1b84f1e737fef7772124f4c6190736c950ec286998105"}