{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:4MF22OKD5QE6HTDLWZCJXUI7OO","short_pith_number":"pith:4MF22OKD","schema_version":"1.0","canonical_sha256":"e30bad3943ec09e3cc6bb6449bd11f73b7253ab3bd2575ae9d977adbd18d4ce6","source":{"kind":"arxiv","id":"1205.6142","version":1},"attestation_state":"computed","paper":{"title":"Some advances on the set covering polyhedron of circulant matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Graciela Nasini, Paola Tolomei, Silvia Bianchi","submitted_at":"2012-05-28T15:35:05Z","abstract_excerpt":"Working on the set covering polyhedron of consecutive ones circulant matrices, Argiroffo and Bianchi found a class of facet defining inequalities, induced by a particular family of circulant minors. In this work we extend these results to inequalities associated with every circulant minor. We also obtain polynomial separation algorithms for particular classes of such inequalities."},"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":"1205.6142","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-05-28T15:35:05Z","cross_cats_sorted":[],"title_canon_sha256":"618a094cea477a57ecc99b020a00a052dbb5f021b1072adf259cb7bdced6df00","abstract_canon_sha256":"e621e15c066a003f78c4b057210da062d2b5738aa7c2375fb8c5ec7c95e3ff1e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:48.213517Z","signature_b64":"ARWiACgTdh1ko5O5AEYrkkF7jPwv2LHhTdBTJ9zVGgpQKL8ftXjHO9HxDVNqBAZ0IBRH47aRvL2epZnNnP/BDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e30bad3943ec09e3cc6bb6449bd11f73b7253ab3bd2575ae9d977adbd18d4ce6","last_reissued_at":"2026-05-18T03:54:48.213019Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:48.213019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some advances on the set covering polyhedron of circulant matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Graciela Nasini, Paola Tolomei, Silvia Bianchi","submitted_at":"2012-05-28T15:35:05Z","abstract_excerpt":"Working on the set covering polyhedron of consecutive ones circulant matrices, Argiroffo and Bianchi found a class of facet defining inequalities, induced by a particular family of circulant minors. In this work we extend these results to inequalities associated with every circulant minor. We also obtain polynomial separation algorithms for particular classes of such inequalities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.6142","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":"1205.6142","created_at":"2026-05-18T03:54:48.213108+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.6142v1","created_at":"2026-05-18T03:54:48.213108+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.6142","created_at":"2026-05-18T03:54:48.213108+00:00"},{"alias_kind":"pith_short_12","alias_value":"4MF22OKD5QE6","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4MF22OKD5QE6HTDL","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4MF22OKD","created_at":"2026-05-18T12:26:53.410803+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/4MF22OKD5QE6HTDLWZCJXUI7OO","json":"https://pith.science/pith/4MF22OKD5QE6HTDLWZCJXUI7OO.json","graph_json":"https://pith.science/api/pith-number/4MF22OKD5QE6HTDLWZCJXUI7OO/graph.json","events_json":"https://pith.science/api/pith-number/4MF22OKD5QE6HTDLWZCJXUI7OO/events.json","paper":"https://pith.science/paper/4MF22OKD"},"agent_actions":{"view_html":"https://pith.science/pith/4MF22OKD5QE6HTDLWZCJXUI7OO","download_json":"https://pith.science/pith/4MF22OKD5QE6HTDLWZCJXUI7OO.json","view_paper":"https://pith.science/paper/4MF22OKD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.6142&json=true","fetch_graph":"https://pith.science/api/pith-number/4MF22OKD5QE6HTDLWZCJXUI7OO/graph.json","fetch_events":"https://pith.science/api/pith-number/4MF22OKD5QE6HTDLWZCJXUI7OO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4MF22OKD5QE6HTDLWZCJXUI7OO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4MF22OKD5QE6HTDLWZCJXUI7OO/action/storage_attestation","attest_author":"https://pith.science/pith/4MF22OKD5QE6HTDLWZCJXUI7OO/action/author_attestation","sign_citation":"https://pith.science/pith/4MF22OKD5QE6HTDLWZCJXUI7OO/action/citation_signature","submit_replication":"https://pith.science/pith/4MF22OKD5QE6HTDLWZCJXUI7OO/action/replication_record"}},"created_at":"2026-05-18T03:54:48.213108+00:00","updated_at":"2026-05-18T03:54:48.213108+00:00"}