{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MIP6IWTKECCYCSOQ6TOIIF4OGN","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":"997fe945b1839f5bbbe7f41dcee003c095946f26f4dc6c81752111f073d25d8c","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-03-06T20:00:14Z","title_canon_sha256":"9b4d47cbbfc0876d631a7e05b226e5f9456b9ac8e256154cd85526b63efa67e3"},"schema_version":"1.0","source":{"id":"1803.02409","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02409","created_at":"2026-05-18T00:21:50Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02409v1","created_at":"2026-05-18T00:21:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02409","created_at":"2026-05-18T00:21:50Z"},{"alias_kind":"pith_short_12","alias_value":"MIP6IWTKECCY","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MIP6IWTKECCYCSOQ","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MIP6IWTK","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:5e2be5384410daed17c412ae32c29c365740cb1abbae230834a8f4eb62a1c47b","target":"graph","created_at":"2026-05-18T00:21:50Z","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 study the problem of exchange when 1) agents are endowed with heterogeneous indivisible objects, and 2) there is no money. In general, no rule satisfies the three central properties Pareto-efficiency, individual rationality, and strategy-proofness \\cite{Sonmez1999}. Recently, it was shown that Top Trading Cycles is $\\NP$-hard to manipulate \\cite{FujitaEA2015}, a relaxation of strategy-proofness. However, parameterized complexity is a more appropriate framework for this and other economic settings. Certain aspects of the problem - number of objects each agent brings to the table, goods up fo","authors_text":"Christopher Purcell, William Phan","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-03-06T20:00:14Z","title":"On the parameterized complexity of manipulating Top Trading Cycles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02409","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":"sha256:14d210a1cb674e1343bf4e78297830316892ed266699f44cc216a4edde958ab6","target":"record","created_at":"2026-05-18T00:21:50Z","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":"997fe945b1839f5bbbe7f41dcee003c095946f26f4dc6c81752111f073d25d8c","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-03-06T20:00:14Z","title_canon_sha256":"9b4d47cbbfc0876d631a7e05b226e5f9456b9ac8e256154cd85526b63efa67e3"},"schema_version":"1.0","source":{"id":"1803.02409","kind":"arxiv","version":1}},"canonical_sha256":"621fe45a6a20858149d0f4dc84178e33795c294529142c20dc872ea5c3224954","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"621fe45a6a20858149d0f4dc84178e33795c294529142c20dc872ea5c3224954","first_computed_at":"2026-05-18T00:21:50.379972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:50.379972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nDUA7z8mD67Yb9aLgHGWo0ENJKo9pHwmKTzPrUCyfMyuG5+GpwERBVUEbJHhFDBNsSyu9LxXg9dZ1Bou7B0QAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:50.380577Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.02409","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14d210a1cb674e1343bf4e78297830316892ed266699f44cc216a4edde958ab6","sha256:5e2be5384410daed17c412ae32c29c365740cb1abbae230834a8f4eb62a1c47b"],"state_sha256":"93002cc0c020ca98d0ed701e0812867415ffe2576621e45ec9ef7677446b3217"}