{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:CSFUNX2LSWNV5YGQUHFLY2KNJB","short_pith_number":"pith:CSFUNX2L","schema_version":"1.0","canonical_sha256":"148b46df4b959b5ee0d0a1cabc694d4846dfeca75d705279d9c7a44d18aa57cd","source":{"kind":"arxiv","id":"1409.3801","version":1},"attestation_state":"computed","paper":{"title":"Complete intersections primitive structures on space curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Philippe Ellia","submitted_at":"2014-09-12T17:30:52Z","abstract_excerpt":"A multiple (loc. Cohen Macaulay) structure, X, on a space curve C in P3 is said to be primitive if X is locally contained in a smooth surface. We give numerical conditions for C to be a \"primitive\" set theoretic complete intersection (i.e. to have a primitive multiple structure which is a complete intersection)."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1409.3801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-12T17:30:52Z","cross_cats_sorted":[],"title_canon_sha256":"3a6be5d5b9f4d9cfd4cb87e7daf89ad86f2b6b7262693f411caee2d4d83d3645","abstract_canon_sha256":"9f825b147b38820e84ad4607de3b0f14a17229f2f866d8d05a51133b6053d091"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:54.654940Z","signature_b64":"AeYr2EPL3OtQOgorxgfi2M5zS5DoS/U1eQtmDl3YFjJ12zfO4//r6kuW0AsyBU3zWR+WMXjaAOJQEA6NnqmcDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"148b46df4b959b5ee0d0a1cabc694d4846dfeca75d705279d9c7a44d18aa57cd","last_reissued_at":"2026-05-18T02:42:54.654590Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:54.654590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Complete intersections primitive structures on space curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Philippe Ellia","submitted_at":"2014-09-12T17:30:52Z","abstract_excerpt":"A multiple (loc. Cohen Macaulay) structure, X, on a space curve C in P3 is said to be primitive if X is locally contained in a smooth surface. We give numerical conditions for C to be a \"primitive\" set theoretic complete intersection (i.e. to have a primitive multiple structure which is a complete intersection)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3801","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1409.3801","created_at":"2026-05-18T02:42:54.654640+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.3801v1","created_at":"2026-05-18T02:42:54.654640+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3801","created_at":"2026-05-18T02:42:54.654640+00:00"},{"alias_kind":"pith_short_12","alias_value":"CSFUNX2LSWNV","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"CSFUNX2LSWNV5YGQ","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"CSFUNX2L","created_at":"2026-05-18T12:28:22.404517+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CSFUNX2LSWNV5YGQUHFLY2KNJB","json":"https://pith.science/pith/CSFUNX2LSWNV5YGQUHFLY2KNJB.json","graph_json":"https://pith.science/api/pith-number/CSFUNX2LSWNV5YGQUHFLY2KNJB/graph.json","events_json":"https://pith.science/api/pith-number/CSFUNX2LSWNV5YGQUHFLY2KNJB/events.json","paper":"https://pith.science/paper/CSFUNX2L"},"agent_actions":{"view_html":"https://pith.science/pith/CSFUNX2LSWNV5YGQUHFLY2KNJB","download_json":"https://pith.science/pith/CSFUNX2LSWNV5YGQUHFLY2KNJB.json","view_paper":"https://pith.science/paper/CSFUNX2L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.3801&json=true","fetch_graph":"https://pith.science/api/pith-number/CSFUNX2LSWNV5YGQUHFLY2KNJB/graph.json","fetch_events":"https://pith.science/api/pith-number/CSFUNX2LSWNV5YGQUHFLY2KNJB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CSFUNX2LSWNV5YGQUHFLY2KNJB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CSFUNX2LSWNV5YGQUHFLY2KNJB/action/storage_attestation","attest_author":"https://pith.science/pith/CSFUNX2LSWNV5YGQUHFLY2KNJB/action/author_attestation","sign_citation":"https://pith.science/pith/CSFUNX2LSWNV5YGQUHFLY2KNJB/action/citation_signature","submit_replication":"https://pith.science/pith/CSFUNX2LSWNV5YGQUHFLY2KNJB/action/replication_record"}},"created_at":"2026-05-18T02:42:54.654640+00:00","updated_at":"2026-05-18T02:42:54.654640+00:00"}