{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XT7AICRD3B6DPXYQ6VVZKMDNSR","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":"707a383c9dc9b9be85b244c2409c81dcb37c98f4a07ae19ac683472c4f1c4d42","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2016-02-18T15:25:55Z","title_canon_sha256":"9a71208d5ab843c37f08c4b27f57dde5031de030bb4b7ca279158456eed980c5"},"schema_version":"1.0","source":{"id":"1602.05838","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.05838","created_at":"2026-05-18T01:20:23Z"},{"alias_kind":"arxiv_version","alias_value":"1602.05838v1","created_at":"2026-05-18T01:20:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.05838","created_at":"2026-05-18T01:20:23Z"},{"alias_kind":"pith_short_12","alias_value":"XT7AICRD3B6D","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XT7AICRD3B6DPXYQ","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XT7AICRD","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:e0c6bc288d4be4ce9ee0b02d7679b18dc36abc70c930f7960e1b8969b0e8e19f","target":"graph","created_at":"2026-05-18T01:20:23Z","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":"The Maximum Weight Independent Set (MWIS) problem is a well-known NP-hard problem. For graphs $G_1, G_2$, $G_1+G_2$ denotes the disjoint union of $G_1$ and $G_2$, and for a constant $l \\ge 2$, $lG$ denotes the disjoint union of $l$ copies of $G$. A {\\em claw} has vertices $a,b,c,d$, and edges $ab,ac,ad$. MWIS can be solved for claw-free graphs in polynomial time; the first two polynomial time algorithms were introduced in 1980 by \\cite{Minty1980,Sbihi1980}, then revisited by \\cite{NakTam2001}, and recently improved by \\cite{FaeOriSta2011,FaeOriSta2014}, and by \\cite{NobSas2011,NobSas2015} with","authors_text":"Andreas Brandstadt, Raffaele Mosca","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2016-02-18T15:25:55Z","title":"Maximum Weight Independent Set in lClaw-Free Graphs in Polynomial Time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.05838","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":"sha256:386ebcf78da3cadfe1e86645c8c4f2415dd0293c42f7245ac36a783f61036a2a","target":"record","created_at":"2026-05-18T01:20:23Z","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":"707a383c9dc9b9be85b244c2409c81dcb37c98f4a07ae19ac683472c4f1c4d42","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2016-02-18T15:25:55Z","title_canon_sha256":"9a71208d5ab843c37f08c4b27f57dde5031de030bb4b7ca279158456eed980c5"},"schema_version":"1.0","source":{"id":"1602.05838","kind":"arxiv","version":1}},"canonical_sha256":"bcfe040a23d87c37df10f56b95306d945b593b5a4c43c754dc92c8622db1111f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcfe040a23d87c37df10f56b95306d945b593b5a4c43c754dc92c8622db1111f","first_computed_at":"2026-05-18T01:20:23.088703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:23.088703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p0haioRhYdFBWN1VIHTf5AdTU19z/Md/ZY+ZTjv1l1mEhSFJORjQsOQD18LYSFYh9wl5QqXvsZ9YkJdF3Gb3Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:23.089438Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.05838","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:386ebcf78da3cadfe1e86645c8c4f2415dd0293c42f7245ac36a783f61036a2a","sha256:e0c6bc288d4be4ce9ee0b02d7679b18dc36abc70c930f7960e1b8969b0e8e19f"],"state_sha256":"e9076543fd7e5e7107fba56ad3294724c43874971c56d0d85c2f2ef3ac792d20"}