{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:CWC5Q4FQE65YTXBLA5SMT3HSFY","short_pith_number":"pith:CWC5Q4FQ","schema_version":"1.0","canonical_sha256":"1585d870b027bb89dc2b0764c9ecf22e31435faf460a74b0e63c933fb5e304a9","source":{"kind":"arxiv","id":"1505.00386","version":1},"attestation_state":"computed","paper":{"title":"Difference of forbidden pairs containing a claw","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Guantao Chen, Michitaka Furuya, Ping Yang, Shoichi Tsuchiya, Songling Shan","submitted_at":"2015-05-03T01:53:37Z","abstract_excerpt":"When we study forbidden subgraph conditions guaranteeing graphs to have some properties, a claw (or $K_{1,3}$) frequently appears as one of forbidden subgraphs. Recently, Furuya and Tsuchiya compared two classes generated by different forbidden pairs containing a claw, and characterized one of such classes. In this paper, we give such characterization for three new classes. Furthermore, we give applications of our characterizations to some forbidden subgraph problems."},"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":"1505.00386","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-05-03T01:53:37Z","cross_cats_sorted":[],"title_canon_sha256":"6d4fb6d2748eb3a75680e8a23fabfc65947be6e2888cd14661cf3a047f5a09cc","abstract_canon_sha256":"68742574dcfb23ae4918bac4e15c873f2ee5be8411a11fdaa8702a18c2202df8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:10.297912Z","signature_b64":"1oqBP6mY8c9s0gKMOLUmYb9h3Hds4j5NfkFY39tsrt4cNPw3fPxY48NhUpVcsO6zBC/uY4KzscCi99b1aqjwCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1585d870b027bb89dc2b0764c9ecf22e31435faf460a74b0e63c933fb5e304a9","last_reissued_at":"2026-05-18T02:17:10.297101Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:10.297101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Difference of forbidden pairs containing a claw","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Guantao Chen, Michitaka Furuya, Ping Yang, Shoichi Tsuchiya, Songling Shan","submitted_at":"2015-05-03T01:53:37Z","abstract_excerpt":"When we study forbidden subgraph conditions guaranteeing graphs to have some properties, a claw (or $K_{1,3}$) frequently appears as one of forbidden subgraphs. Recently, Furuya and Tsuchiya compared two classes generated by different forbidden pairs containing a claw, and characterized one of such classes. In this paper, we give such characterization for three new classes. Furthermore, we give applications of our characterizations to some forbidden subgraph problems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00386","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":"1505.00386","created_at":"2026-05-18T02:17:10.297235+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.00386v1","created_at":"2026-05-18T02:17:10.297235+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00386","created_at":"2026-05-18T02:17:10.297235+00:00"},{"alias_kind":"pith_short_12","alias_value":"CWC5Q4FQE65Y","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"CWC5Q4FQE65YTXBL","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"CWC5Q4FQ","created_at":"2026-05-18T12:29:17.054201+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/CWC5Q4FQE65YTXBLA5SMT3HSFY","json":"https://pith.science/pith/CWC5Q4FQE65YTXBLA5SMT3HSFY.json","graph_json":"https://pith.science/api/pith-number/CWC5Q4FQE65YTXBLA5SMT3HSFY/graph.json","events_json":"https://pith.science/api/pith-number/CWC5Q4FQE65YTXBLA5SMT3HSFY/events.json","paper":"https://pith.science/paper/CWC5Q4FQ"},"agent_actions":{"view_html":"https://pith.science/pith/CWC5Q4FQE65YTXBLA5SMT3HSFY","download_json":"https://pith.science/pith/CWC5Q4FQE65YTXBLA5SMT3HSFY.json","view_paper":"https://pith.science/paper/CWC5Q4FQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.00386&json=true","fetch_graph":"https://pith.science/api/pith-number/CWC5Q4FQE65YTXBLA5SMT3HSFY/graph.json","fetch_events":"https://pith.science/api/pith-number/CWC5Q4FQE65YTXBLA5SMT3HSFY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CWC5Q4FQE65YTXBLA5SMT3HSFY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CWC5Q4FQE65YTXBLA5SMT3HSFY/action/storage_attestation","attest_author":"https://pith.science/pith/CWC5Q4FQE65YTXBLA5SMT3HSFY/action/author_attestation","sign_citation":"https://pith.science/pith/CWC5Q4FQE65YTXBLA5SMT3HSFY/action/citation_signature","submit_replication":"https://pith.science/pith/CWC5Q4FQE65YTXBLA5SMT3HSFY/action/replication_record"}},"created_at":"2026-05-18T02:17:10.297235+00:00","updated_at":"2026-05-18T02:17:10.297235+00:00"}