{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RH6BHNKSGE734YCFYWCCC3EM2E","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":"a5bf24c8c1a3291e54e2290929d5bdd2cbbdfe03e04e47bd7882c607710cf446","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-16T15:48:42Z","title_canon_sha256":"b56ee1d66293360beecfaa8dc6356a929c3c4407b2a851f58ae3e17e93e4baf2"},"schema_version":"1.0","source":{"id":"1402.3810","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3810","created_at":"2026-05-18T02:53:53Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3810v2","created_at":"2026-05-18T02:53:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3810","created_at":"2026-05-18T02:53:53Z"},{"alias_kind":"pith_short_12","alias_value":"RH6BHNKSGE73","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RH6BHNKSGE734YCF","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RH6BHNKS","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:75589cd6af0e29e35f1fd8ce0b8ad976c48b973f9deb7ae128239c45fc41dbeb","target":"graph","created_at":"2026-05-18T02:53:53Z","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 investigate which homogeneous polynomials are determined by their Jacobian ideals, and extend and complete previous results due to J. Carlson and Ph. Griffiths, K. Ueda and M. Yoshinaga, and A. Dimca and E. Sernesi.","authors_text":"Zhenjian Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-16T15:48:42Z","title":"On homogeneous polynomials determined by their Jacobian ideal"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3810","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":"sha256:039ab7487d0be6bb6f017a9ad678360d661f3ca7ef6b6daa50e406645efbeeb1","target":"record","created_at":"2026-05-18T02:53:53Z","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":"a5bf24c8c1a3291e54e2290929d5bdd2cbbdfe03e04e47bd7882c607710cf446","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-16T15:48:42Z","title_canon_sha256":"b56ee1d66293360beecfaa8dc6356a929c3c4407b2a851f58ae3e17e93e4baf2"},"schema_version":"1.0","source":{"id":"1402.3810","kind":"arxiv","version":2}},"canonical_sha256":"89fc13b552313fbe6045c584216c8cd12ef6a813fb335801e6680c74e9309130","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89fc13b552313fbe6045c584216c8cd12ef6a813fb335801e6680c74e9309130","first_computed_at":"2026-05-18T02:53:53.110747Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:53.110747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HOFxLmV4ROokJ9CUNTHWT+8F0deA1xoEmQNIWpl+OmuRdWdDfLLh0htQgrytVm6FhGtmciryLrBvZ615+ImODg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:53.111600Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3810","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:039ab7487d0be6bb6f017a9ad678360d661f3ca7ef6b6daa50e406645efbeeb1","sha256:75589cd6af0e29e35f1fd8ce0b8ad976c48b973f9deb7ae128239c45fc41dbeb"],"state_sha256":"2adc556023308dad776b6be11d16f3aa6a9cc95eb48a89dd6b76cd72b07dc755"}