{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AQK3EO34WGP6DDALUAUGOCZT47","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":"40d2f234c18538c3c3b24e0ffa2e9383e729b37bedfb85565eb8ac76cdcac026","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-21T11:09:59Z","title_canon_sha256":"de34c8cc19b6a881260be520e9edc9473d9e83469b0b564eb70abab72ab91ffd"},"schema_version":"1.0","source":{"id":"1312.6239","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6239","created_at":"2026-05-18T01:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6239v3","created_at":"2026-05-18T01:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6239","created_at":"2026-05-18T01:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"AQK3EO34WGP6","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AQK3EO34WGP6DDAL","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AQK3EO34","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:9ef7532e966a7bc53105f1d1461b7ad306a571393647fcfa7223079db9f4e723","target":"graph","created_at":"2026-05-18T01:51:25Z","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 paper we study Brill-Noether loci for rank-two vector bundles and describe the general member of some components as suitable extensions of line bundles.","authors_text":"Ciro Ciliberto, Flaminio Flamini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-21T11:09:59Z","title":"Extensions of line bundles and Brill--Noether loci of rank-two vector bundles on a general curve"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6239","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":"sha256:1756558bec65c1a9363d9a57c1f3cd6b2a90ea6b3c39b471f9248a1d7e8fd477","target":"record","created_at":"2026-05-18T01:51:25Z","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":"40d2f234c18538c3c3b24e0ffa2e9383e729b37bedfb85565eb8ac76cdcac026","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-21T11:09:59Z","title_canon_sha256":"de34c8cc19b6a881260be520e9edc9473d9e83469b0b564eb70abab72ab91ffd"},"schema_version":"1.0","source":{"id":"1312.6239","kind":"arxiv","version":3}},"canonical_sha256":"0415b23b7cb19fe18c0ba028670b33e7daa3c66063af417ff8887c6c5d55c764","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0415b23b7cb19fe18c0ba028670b33e7daa3c66063af417ff8887c6c5d55c764","first_computed_at":"2026-05-18T01:51:25.342455Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:25.342455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jcErk919vSL3yyVqbqWBA0Z0KvnuaOIAP5gZHTatrTRfvZECVWPwWr1ORZ1JPA6oqK0O0hETJGLOkaB0dbrYAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:25.342953Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.6239","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1756558bec65c1a9363d9a57c1f3cd6b2a90ea6b3c39b471f9248a1d7e8fd477","sha256:9ef7532e966a7bc53105f1d1461b7ad306a571393647fcfa7223079db9f4e723"],"state_sha256":"5a01311efcd64e3e0edf14dad47f6fa4232debb83cad95acd0a2e2f0e9bee7a6"}