{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KTMXN3ZPNNUTMNGVDC7N374K6P","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":"0d16a15d86c2382ae58fe667ada16c36c43ad7f660b3422d4855ed9dd91992bd","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-05-25T18:58:58Z","title_canon_sha256":"4bda2e85b4fdc1a92936f01bea172174572fcdf298a48c98a0038edb8bd07d37"},"schema_version":"1.0","source":{"id":"1705.09328","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09328","created_at":"2026-05-18T00:43:38Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09328v1","created_at":"2026-05-18T00:43:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09328","created_at":"2026-05-18T00:43:38Z"},{"alias_kind":"pith_short_12","alias_value":"KTMXN3ZPNNUT","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KTMXN3ZPNNUTMNGV","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KTMXN3ZP","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:23ff20755e65ad240271f23b1f45eeee31eed5ad97c46c91d7511255eef0a512","target":"graph","created_at":"2026-05-18T00:43:38Z","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":"A kidney exchange is a centrally-administered barter market where patients swap their willing yet incompatible donors. Modern kidney exchanges use 2-cycles, 3-cycles, and chains initiated by non-directed donors (altruists who are willing to give a kidney to anyone) as the means for swapping.\n  We propose significant generalizations to kidney exchange. We allow more than one donor to donate in exchange for their desired patient receiving a kidney. We also allow for the possibility of a donor willing to donate if any of a number of patients receive kidneys. Furthermore, we combine these notions ","authors_text":"Gabriele Farina, John P. Dickerson, Tuomas Sandholm","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-05-25T18:58:58Z","title":"Operation Frames and Clubs in Kidney Exchange"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09328","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":"sha256:2ea1308da2012cbfa4429f0eaadffcb80a9c0aa80473abda54722b92a7343e70","target":"record","created_at":"2026-05-18T00:43:38Z","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":"0d16a15d86c2382ae58fe667ada16c36c43ad7f660b3422d4855ed9dd91992bd","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-05-25T18:58:58Z","title_canon_sha256":"4bda2e85b4fdc1a92936f01bea172174572fcdf298a48c98a0038edb8bd07d37"},"schema_version":"1.0","source":{"id":"1705.09328","kind":"arxiv","version":1}},"canonical_sha256":"54d976ef2f6b693634d518beddff8af3da9445906edee791919d2616bcd51e6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54d976ef2f6b693634d518beddff8af3da9445906edee791919d2616bcd51e6d","first_computed_at":"2026-05-18T00:43:38.985199Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:38.985199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uMq9ExJRG+iVHYRQxnRk25nZgQELH4+SO91uf6LsQDUdpFdx5Nbl9rVPYdEByFuDO+BFxJkXy66jZM/9MvfaBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:38.985667Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.09328","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ea1308da2012cbfa4429f0eaadffcb80a9c0aa80473abda54722b92a7343e70","sha256:23ff20755e65ad240271f23b1f45eeee31eed5ad97c46c91d7511255eef0a512"],"state_sha256":"b2c74319efa121fad312a6ba98521014b5898d1bca19529f3b5af2ca078906a6"}