{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:FRZGIH5HI7T67VXNMACK7VTSAU","short_pith_number":"pith:FRZGIH5H","schema_version":"1.0","canonical_sha256":"2c72641fa747e7efd6ed6004afd672051e8817d8ae1f302c0be7cee5dcefdfa0","source":{"kind":"arxiv","id":"1810.05799","version":1},"attestation_state":"computed","paper":{"title":"Core Influence Mechanism on Vertex-Cover Problem through Leaf-Removal-Core Breaking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SI","authors_text":"Wei Wei, Xiangnan Feng, Xing Li, Zhiming Zheng","submitted_at":"2018-10-13T05:19:35Z","abstract_excerpt":"Leaf-Removal process has been widely researched and applied in many mathematical and physical fields to help understand the complex systems, and a lot of problems including the minimal vertex-cover are deeply related to this process and the Leaf-Removal cores. In this paper, based on the structural features of the Leaf-Removal cores, a method named Core Influence is proposed to break the graphs into No-Leaf-Removal-Core ones, which takes advantages of identifying some significant nodes by localized and greedy strategy. By decomposing the minimal vertex-cover problem into the Leaf-Removal cores"},"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":"1810.05799","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2018-10-13T05:19:35Z","cross_cats_sorted":[],"title_canon_sha256":"5f17a94d08d2f002410a48ee168e5e7f2a28af5b645e4c8eaf893a3de5d9dae7","abstract_canon_sha256":"6c502e62f61e3e674c541fa412fda1c559bd90d1bff3301af56d564d04c8473f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:58.112662Z","signature_b64":"hZlXVFrK/rLDHPe7PeLphUMzgf4u7MbznZGCN9tc9z5gARXOupKuEaVgno6LDzgNs/D1mYDJwoylijgcEKtFAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c72641fa747e7efd6ed6004afd672051e8817d8ae1f302c0be7cee5dcefdfa0","last_reissued_at":"2026-05-17T23:39:58.112091Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:58.112091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Core Influence Mechanism on Vertex-Cover Problem through Leaf-Removal-Core Breaking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SI","authors_text":"Wei Wei, Xiangnan Feng, Xing Li, Zhiming Zheng","submitted_at":"2018-10-13T05:19:35Z","abstract_excerpt":"Leaf-Removal process has been widely researched and applied in many mathematical and physical fields to help understand the complex systems, and a lot of problems including the minimal vertex-cover are deeply related to this process and the Leaf-Removal cores. In this paper, based on the structural features of the Leaf-Removal cores, a method named Core Influence is proposed to break the graphs into No-Leaf-Removal-Core ones, which takes advantages of identifying some significant nodes by localized and greedy strategy. By decomposing the minimal vertex-cover problem into the Leaf-Removal cores"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.05799","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":"1810.05799","created_at":"2026-05-17T23:39:58.112191+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.05799v1","created_at":"2026-05-17T23:39:58.112191+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.05799","created_at":"2026-05-17T23:39:58.112191+00:00"},{"alias_kind":"pith_short_12","alias_value":"FRZGIH5HI7T6","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"FRZGIH5HI7T67VXN","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"FRZGIH5H","created_at":"2026-05-18T12:32:25.280505+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/FRZGIH5HI7T67VXNMACK7VTSAU","json":"https://pith.science/pith/FRZGIH5HI7T67VXNMACK7VTSAU.json","graph_json":"https://pith.science/api/pith-number/FRZGIH5HI7T67VXNMACK7VTSAU/graph.json","events_json":"https://pith.science/api/pith-number/FRZGIH5HI7T67VXNMACK7VTSAU/events.json","paper":"https://pith.science/paper/FRZGIH5H"},"agent_actions":{"view_html":"https://pith.science/pith/FRZGIH5HI7T67VXNMACK7VTSAU","download_json":"https://pith.science/pith/FRZGIH5HI7T67VXNMACK7VTSAU.json","view_paper":"https://pith.science/paper/FRZGIH5H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.05799&json=true","fetch_graph":"https://pith.science/api/pith-number/FRZGIH5HI7T67VXNMACK7VTSAU/graph.json","fetch_events":"https://pith.science/api/pith-number/FRZGIH5HI7T67VXNMACK7VTSAU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FRZGIH5HI7T67VXNMACK7VTSAU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FRZGIH5HI7T67VXNMACK7VTSAU/action/storage_attestation","attest_author":"https://pith.science/pith/FRZGIH5HI7T67VXNMACK7VTSAU/action/author_attestation","sign_citation":"https://pith.science/pith/FRZGIH5HI7T67VXNMACK7VTSAU/action/citation_signature","submit_replication":"https://pith.science/pith/FRZGIH5HI7T67VXNMACK7VTSAU/action/replication_record"}},"created_at":"2026-05-17T23:39:58.112191+00:00","updated_at":"2026-05-17T23:39:58.112191+00:00"}