{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6OITT457NY3IAMFZI6GPRPRWN3","short_pith_number":"pith:6OITT457","canonical_record":{"source":{"id":"1606.00117","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-06-01T04:49:08Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"c9f75f1527aa1f39ad825c1a9b7c58cf0063701811ac1342188a1dfd9a0bfbb4","abstract_canon_sha256":"f33a785796540b4de27780e296067e72911c0e59c4380e2d0a3e31da561f6c26"},"schema_version":"1.0"},"canonical_sha256":"f39139f3bf6e368030b9478cf8be366ec78d161aec385985548dab19f7a2ef16","source":{"kind":"arxiv","id":"1606.00117","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00117","created_at":"2026-05-18T01:13:05Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00117v1","created_at":"2026-05-18T01:13:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00117","created_at":"2026-05-18T01:13:05Z"},{"alias_kind":"pith_short_12","alias_value":"6OITT457NY3I","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6OITT457NY3IAMFZ","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6OITT457","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6OITT457NY3IAMFZI6GPRPRWN3","target":"record","payload":{"canonical_record":{"source":{"id":"1606.00117","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-06-01T04:49:08Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"c9f75f1527aa1f39ad825c1a9b7c58cf0063701811ac1342188a1dfd9a0bfbb4","abstract_canon_sha256":"f33a785796540b4de27780e296067e72911c0e59c4380e2d0a3e31da561f6c26"},"schema_version":"1.0"},"canonical_sha256":"f39139f3bf6e368030b9478cf8be366ec78d161aec385985548dab19f7a2ef16","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:05.886393Z","signature_b64":"ECmOnMBmSgAM/91p/pRqilC5qaOFOxjqfCBdsgbQY/cTXmlpJumyfY3jJXNcTkjJ6rZUB3/5QRnAexH7ttyZCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f39139f3bf6e368030b9478cf8be366ec78d161aec385985548dab19f7a2ef16","last_reissued_at":"2026-05-18T01:13:05.885918Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:05.885918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.00117","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:13:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ClLfAxvNNUk8pG7Px0YOxELJeGqiwOI2fE++JZtLkaoe7nrOC3ughLSpQwGJkOOnEt8ywpzoYOk3yrsWrDoAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:07:57.215396Z"},"content_sha256":"9b3be443738e4c33a3b35209c345c76937ec47209b91368747353a83a6f437ac","schema_version":"1.0","event_id":"sha256:9b3be443738e4c33a3b35209c345c76937ec47209b91368747353a83a6f437ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6OITT457NY3IAMFZI6GPRPRWN3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hardness of the Pricing Problem for Chains in Barter Exchanges","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.DS","authors_text":"Benjamin Plaut, John P. Dickerson, Tuomas Sandholm","submitted_at":"2016-06-01T04:49:08Z","abstract_excerpt":"Kidney exchange is a barter market where patients trade willing but medically incompatible donors. These trades occur via cycles, where each patient-donor pair both gives and receives a kidney, and via chains, which begin with an altruistic donor who does not require a kidney in return. For logistical reasons, the maximum length of a cycle is typically limited to a small constant, while chains can be much longer. Given a compatibility graph of patient-donor pairs, altruists, and feasible potential transplants between them, finding even a maximum-cardinality set of vertex-disjoint cycles and ch"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00117","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:13:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"80Oxrpl2jA8xpxjk6WzrbLT4Pj0yFUC74wb3LuNJQf9jucSGWF+pjgexte2nNjJgpcgDZ/p6j0RCwAZhYTjMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:07:57.216099Z"},"content_sha256":"1ec1fc01c700f3e7de07e0bd355fb9f1aa2cf7c2f7d9d637142ebc1e75db4454","schema_version":"1.0","event_id":"sha256:1ec1fc01c700f3e7de07e0bd355fb9f1aa2cf7c2f7d9d637142ebc1e75db4454"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6OITT457NY3IAMFZI6GPRPRWN3/bundle.json","state_url":"https://pith.science/pith/6OITT457NY3IAMFZI6GPRPRWN3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6OITT457NY3IAMFZI6GPRPRWN3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T01:07:57Z","links":{"resolver":"https://pith.science/pith/6OITT457NY3IAMFZI6GPRPRWN3","bundle":"https://pith.science/pith/6OITT457NY3IAMFZI6GPRPRWN3/bundle.json","state":"https://pith.science/pith/6OITT457NY3IAMFZI6GPRPRWN3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6OITT457NY3IAMFZI6GPRPRWN3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6OITT457NY3IAMFZI6GPRPRWN3","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":"f33a785796540b4de27780e296067e72911c0e59c4380e2d0a3e31da561f6c26","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-06-01T04:49:08Z","title_canon_sha256":"c9f75f1527aa1f39ad825c1a9b7c58cf0063701811ac1342188a1dfd9a0bfbb4"},"schema_version":"1.0","source":{"id":"1606.00117","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00117","created_at":"2026-05-18T01:13:05Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00117v1","created_at":"2026-05-18T01:13:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00117","created_at":"2026-05-18T01:13:05Z"},{"alias_kind":"pith_short_12","alias_value":"6OITT457NY3I","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6OITT457NY3IAMFZ","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6OITT457","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:1ec1fc01c700f3e7de07e0bd355fb9f1aa2cf7c2f7d9d637142ebc1e75db4454","target":"graph","created_at":"2026-05-18T01:13:05Z","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":"Kidney exchange is a barter market where patients trade willing but medically incompatible donors. These trades occur via cycles, where each patient-donor pair both gives and receives a kidney, and via chains, which begin with an altruistic donor who does not require a kidney in return. For logistical reasons, the maximum length of a cycle is typically limited to a small constant, while chains can be much longer. Given a compatibility graph of patient-donor pairs, altruists, and feasible potential transplants between them, finding even a maximum-cardinality set of vertex-disjoint cycles and ch","authors_text":"Benjamin Plaut, John P. Dickerson, Tuomas Sandholm","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-06-01T04:49:08Z","title":"Hardness of the Pricing Problem for Chains in Barter Exchanges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00117","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":"sha256:9b3be443738e4c33a3b35209c345c76937ec47209b91368747353a83a6f437ac","target":"record","created_at":"2026-05-18T01:13:05Z","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":"f33a785796540b4de27780e296067e72911c0e59c4380e2d0a3e31da561f6c26","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-06-01T04:49:08Z","title_canon_sha256":"c9f75f1527aa1f39ad825c1a9b7c58cf0063701811ac1342188a1dfd9a0bfbb4"},"schema_version":"1.0","source":{"id":"1606.00117","kind":"arxiv","version":1}},"canonical_sha256":"f39139f3bf6e368030b9478cf8be366ec78d161aec385985548dab19f7a2ef16","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f39139f3bf6e368030b9478cf8be366ec78d161aec385985548dab19f7a2ef16","first_computed_at":"2026-05-18T01:13:05.885918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:05.885918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ECmOnMBmSgAM/91p/pRqilC5qaOFOxjqfCBdsgbQY/cTXmlpJumyfY3jJXNcTkjJ6rZUB3/5QRnAexH7ttyZCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:05.886393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.00117","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b3be443738e4c33a3b35209c345c76937ec47209b91368747353a83a6f437ac","sha256:1ec1fc01c700f3e7de07e0bd355fb9f1aa2cf7c2f7d9d637142ebc1e75db4454"],"state_sha256":"97dc41372d2cec088652c7210f485ae0c48902e472c1714a4205cdb0a2ad11b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Phzttb/BNICv3Pp0hSE7FZokLgHrJ/t6xokSL2pQjK1QeJgWcoSx0WJcYCT4v7HqpeGLVKcwdp+syQZn/EgADg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T01:07:57.219644Z","bundle_sha256":"f6dc36193485e4f43fdd88903c2b5a798f449d04b35ccac23b6efa64e45227c8"}}