{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TIGAGUH2RQN6J34X4E3GHT4BXZ","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":"9c6cbc95e3c4d4c217ce76ae16fb43c70f71868951184b1168cf427bf054d009","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-03-08T18:48:29Z","title_canon_sha256":"1e65bb95fb9df3da5b10ab62dcd3c725daddb59399de598fd0f94ea2f3d0f8e9"},"schema_version":"1.0","source":{"id":"1803.03249","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.03249","created_at":"2026-05-17T23:52:24Z"},{"alias_kind":"arxiv_version","alias_value":"1803.03249v3","created_at":"2026-05-17T23:52:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.03249","created_at":"2026-05-17T23:52:24Z"},{"alias_kind":"pith_short_12","alias_value":"TIGAGUH2RQN6","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"TIGAGUH2RQN6J34X","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"TIGAGUH2","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:ce59d405dde15fcc90ca9a64d97ddf59ff9aa3b6ff20faedd8c668084062b452","target":"graph","created_at":"2026-05-17T23:52:24Z","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":"We provide an efficient algorithm for computing the nucleolus for an instance of a weighted cooperative matching game. This resolves a long-standing open question posed in [Faigle, Kern, Fekete, Hochst\\\"{a}ttler, Mathematical Programming, 1998].","authors_text":"Jochen Koenemann, Justin Toth, Kanstantsin Pashkovich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-03-08T18:48:29Z","title":"Computing the Nucleolus of Weighted Cooperative Matching Games in Polynomial Time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03249","kind":"arxiv","version":3},"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":"sha256:8c42720652d1bc031ae486e2885c7f97952780185c45a7308a382360f5b62122","target":"record","created_at":"2026-05-17T23:52:24Z","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":"9c6cbc95e3c4d4c217ce76ae16fb43c70f71868951184b1168cf427bf054d009","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-03-08T18:48:29Z","title_canon_sha256":"1e65bb95fb9df3da5b10ab62dcd3c725daddb59399de598fd0f94ea2f3d0f8e9"},"schema_version":"1.0","source":{"id":"1803.03249","kind":"arxiv","version":3}},"canonical_sha256":"9a0c0350fa8c1be4ef97e13663cf81be5836ad83a479b910cc3cdd2c09d3f532","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a0c0350fa8c1be4ef97e13663cf81be5836ad83a479b910cc3cdd2c09d3f532","first_computed_at":"2026-05-17T23:52:24.509811Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:24.509811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aKoRwvt1WHKS0qI3jkziMdcID8Qnp7TInX6XwT+2cuv0nVDO5IJntcxsRu4agqJZ+XAKYI1KX7csljCaHCDXBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:24.510372Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.03249","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c42720652d1bc031ae486e2885c7f97952780185c45a7308a382360f5b62122","sha256:ce59d405dde15fcc90ca9a64d97ddf59ff9aa3b6ff20faedd8c668084062b452"],"state_sha256":"b10316653336f38ccaa17e21d69882d1e13ff43668816dddee41a1f6c178131d"}