{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ERO7QC5PFG6PHCY3Q5IVBNMYJI","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":"b6f48a0153ec841df02f77fb39997d1ca7994c1f83128e056f4c6e05bf39aa14","cross_cats_sorted":["cs.IT","math.AG","math.CO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-03-04T18:17:49Z","title_canon_sha256":"0224dab87966cc418beaf1c85b76c0b422bf1b2aced5229102efa6321d90467f"},"schema_version":"1.0","source":{"id":"1503.01404","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01404","created_at":"2026-05-18T00:26:30Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01404v1","created_at":"2026-05-18T00:26:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01404","created_at":"2026-05-18T00:26:30Z"},{"alias_kind":"pith_short_12","alias_value":"ERO7QC5PFG6P","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ERO7QC5PFG6PHCY3","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ERO7QC5P","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:d9ccb7ce39a0e89de094696d33276d5d374e00f3ebd89fb1a358f704ed97933a","target":"graph","created_at":"2026-05-18T00:26:30Z","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 give a classification of complete intersection vanishing ideals on parameterized sets of clutter type over finite fields.","authors_text":"Azucena Tochimani, Rafael H. Villarreal","cross_cats":["cs.IT","math.AG","math.CO","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-03-04T18:17:49Z","title":"Complete intersection vanishing ideals on sets of clutter type over finite fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01404","kind":"arxiv","version":1},"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:b2e633afc85ad5af81058277387d0d418184aaa60db49a199f0d203da6a3b4a5","target":"record","created_at":"2026-05-18T00:26:30Z","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":"b6f48a0153ec841df02f77fb39997d1ca7994c1f83128e056f4c6e05bf39aa14","cross_cats_sorted":["cs.IT","math.AG","math.CO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-03-04T18:17:49Z","title_canon_sha256":"0224dab87966cc418beaf1c85b76c0b422bf1b2aced5229102efa6321d90467f"},"schema_version":"1.0","source":{"id":"1503.01404","kind":"arxiv","version":1}},"canonical_sha256":"245df80baf29bcf38b1b875150b5984a165228fa99c0fcd5534a87087b66a572","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"245df80baf29bcf38b1b875150b5984a165228fa99c0fcd5534a87087b66a572","first_computed_at":"2026-05-18T00:26:30.986415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:30.986415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kt84aaPJDCjV7O/UzlxpWFR+6ZlgucLQEWlos/9soowVvzCY0xQUU5hBgKQ+Qu41taHveV4MoOxS7zUG2EBKCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:30.987782Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.01404","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2e633afc85ad5af81058277387d0d418184aaa60db49a199f0d203da6a3b4a5","sha256:d9ccb7ce39a0e89de094696d33276d5d374e00f3ebd89fb1a358f704ed97933a"],"state_sha256":"e3ee16e31f74efc8f80ae6cf9021e2ca53593f3a4e78bfd6453cd30b4743aad2"}