{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FHF7NQOP5QLVMYAKZEDG4FQBP4","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":"0387e8e082022187cf9cbb357d50fd90198ac1650aec848cc22f213959181a2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-04-07T23:25:16Z","title_canon_sha256":"7099a658b81b70866cad671f82c78c9831d85d5db5944880af1057b864223c7c"},"schema_version":"1.0","source":{"id":"1504.01780","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.01780","created_at":"2026-05-18T02:19:18Z"},{"alias_kind":"arxiv_version","alias_value":"1504.01780v1","created_at":"2026-05-18T02:19:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01780","created_at":"2026-05-18T02:19:18Z"},{"alias_kind":"pith_short_12","alias_value":"FHF7NQOP5QLV","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FHF7NQOP5QLVMYAK","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FHF7NQOP","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:dd0dc477424ee36fe948ac7f9cc1bdd94a18d9dd50d4b9b06b645b4c8d147ea1","target":"graph","created_at":"2026-05-18T02:19:18Z","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 continue the study of welfare maximization in unit-demand (matching) markets, in a distributed information model where agent's valuations are unknown to the central planner, and therefore communication is required to determine an efficient allocation. Dobzinski, Nisan and Oren (STOC'14) showed that if the market size is $n$, then $r$ rounds of interaction (with logarithmic bandwidth) suffice to obtain an $n^{1/(r+1)}$-approximation to the optimal social welfare. In particular, this implies that such markets converge to a stable state (constant approximation) in time logarithmic in the marke","authors_text":"Noam Nisan, Noga Alon, Omri Weinstein, Ran Raz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-04-07T23:25:16Z","title":"Welfare Maximization with Limited Interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01780","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":"sha256:7b2c4e86b42ac8297e81bbca86fabf942c15ec5a396bdf197356eb1348749cc0","target":"record","created_at":"2026-05-18T02:19:18Z","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":"0387e8e082022187cf9cbb357d50fd90198ac1650aec848cc22f213959181a2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2015-04-07T23:25:16Z","title_canon_sha256":"7099a658b81b70866cad671f82c78c9831d85d5db5944880af1057b864223c7c"},"schema_version":"1.0","source":{"id":"1504.01780","kind":"arxiv","version":1}},"canonical_sha256":"29cbf6c1cfec1756600ac9066e16017f18f7fe36690c280610498c891c237218","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29cbf6c1cfec1756600ac9066e16017f18f7fe36690c280610498c891c237218","first_computed_at":"2026-05-18T02:19:18.387980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:18.387980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tR4JubX1I84z7tNnBNKD4KVCCfXAYQaQnGmorZhNMa115MedfauA6pj0BvSnr/L65vr1C4gFzIrJBNNRu2p8AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:18.389661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.01780","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b2c4e86b42ac8297e81bbca86fabf942c15ec5a396bdf197356eb1348749cc0","sha256:dd0dc477424ee36fe948ac7f9cc1bdd94a18d9dd50d4b9b06b645b4c8d147ea1"],"state_sha256":"64ea99fc67feaefce2c734d7707ae86bde34af9273f74d04b696dec5a82a8312"}