{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:A6T657G5U6ITNHLC2NLG6TX6UJ","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":"91f87c347a387bdadedc3e0f773c13a787cdc263da2f41db743557e1f7a7312c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2011-12-20T09:57:00Z","title_canon_sha256":"109df258f1c217a21f0026292553701537874308933f1241be1aa91cc62935aa"},"schema_version":"1.0","source":{"id":"1112.4632","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4632","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4632v4","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4632","created_at":"2026-05-18T02:21:27Z"},{"alias_kind":"pith_short_12","alias_value":"A6T657G5U6IT","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"A6T657G5U6ITNHLC","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"A6T657G5","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:2bde3f9dc850ed472f8c478237c3a4fed0f8e1b10dc329c0b8970950e14fd191","target":"graph","created_at":"2026-05-18T02:21:27Z","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 analyze the setting of minimum-cost perfect matchings with selfish vertices through the price of anarchy (PoA) and price of stability (PoS) lens. The underlying solution concept used for this analysis is the Gale-Shapley stable matching notion, where the preferences are determined so that each player (vertex) wishes to minimize the cost of her own matching edge.","authors_text":"Roger Wattenhofer, Tobias Langner, Yuval Emek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2011-12-20T09:57:00Z","title":"The Price of Matching Selfish Vertices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4632","kind":"arxiv","version":4},"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":"sha256:3a92fa1cef96e9f9e4df3d74aaa43f11b1f68eb623332df6a87e87fef17900c6","target":"record","created_at":"2026-05-18T02:21:27Z","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":"91f87c347a387bdadedc3e0f773c13a787cdc263da2f41db743557e1f7a7312c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2011-12-20T09:57:00Z","title_canon_sha256":"109df258f1c217a21f0026292553701537874308933f1241be1aa91cc62935aa"},"schema_version":"1.0","source":{"id":"1112.4632","kind":"arxiv","version":4}},"canonical_sha256":"07a7eefcdda791369d62d3566f4efea265ed873276094a85587e6694e45e5deb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07a7eefcdda791369d62d3566f4efea265ed873276094a85587e6694e45e5deb","first_computed_at":"2026-05-18T02:21:27.087946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:27.087946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MvDEKhdGER4j9UUigA+2oqX9/W5lULj1J0zfpDv5BeP8ulT6KkLhJfmjnIPsSwyq2NNOOqYG1fND/M7gQ1LdAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:27.088683Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.4632","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a92fa1cef96e9f9e4df3d74aaa43f11b1f68eb623332df6a87e87fef17900c6","sha256:2bde3f9dc850ed472f8c478237c3a4fed0f8e1b10dc329c0b8970950e14fd191"],"state_sha256":"b95aeab137af8e9bf96332e5571ddfdf9daaa232b83c6aec32553d0a1532c22b"}