{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:C45RKKU5EAHAIS5E77VHO3V3FJ","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":"5c2a53b3eb2781be9fd5c3db7f0da99f9eab45a4a10e9ccecde6e5df244c058a","cross_cats_sorted":["cs.SI","math.CO","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-04-28T19:11:22Z","title_canon_sha256":"861ef0b0ec1de208cbb27b1d3e9e0ecf8ac38fe444351d68af8d15a0b1b8e1e6"},"schema_version":"1.0","source":{"id":"1104.5474","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5474","created_at":"2026-05-18T01:22:29Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5474v2","created_at":"2026-05-18T01:22:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5474","created_at":"2026-05-18T01:22:29Z"},{"alias_kind":"pith_short_12","alias_value":"C45RKKU5EAHA","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"C45RKKU5EAHAIS5E","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"C45RKKU5","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:a2c4673273b16c8956981a145151130ed8f80f0c816409ce9d0332dc15b0a365","target":"graph","created_at":"2026-05-18T01:22:29Z","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":"The school choice mechanism design problem focuses on assignment mechanisms matching students to public schools in a given school district. The well-known Gale Shapley Student Optimal Stable Matching Mechanism (SOSM) is the most efficient stable mechanism proposed so far as a solution to this problem. However its inefficiency is well-documented, and recently the Efficiency Adjusted Deferred Acceptance Mechanism (EADAM) was proposed as a remedy for this weakness. In this note we describe two related adjustments to SOSM with the intention to address the same inefficiency issue. In one we create ","authors_text":"Adam Azzam, Chaya Coppersmith, Gizem Karaali, Julie Glass, Sinan Aksoy, Xinjing Zhu, Xueying Zhao","cross_cats":["cs.SI","math.CO","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-04-28T19:11:22Z","title":"Coalitions and Cliques in the School Choice Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5474","kind":"arxiv","version":2},"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":"sha256:5a92727ff25bb53b5902eb6266459c0b77e87602af7af2f1a62878cdae4d1aa2","target":"record","created_at":"2026-05-18T01:22:29Z","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":"5c2a53b3eb2781be9fd5c3db7f0da99f9eab45a4a10e9ccecde6e5df244c058a","cross_cats_sorted":["cs.SI","math.CO","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-04-28T19:11:22Z","title_canon_sha256":"861ef0b0ec1de208cbb27b1d3e9e0ecf8ac38fe444351d68af8d15a0b1b8e1e6"},"schema_version":"1.0","source":{"id":"1104.5474","kind":"arxiv","version":2}},"canonical_sha256":"173b152a9d200e044ba4ffea776ebb2a64bc7337b04f4d20190ad59f9a3d0abb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"173b152a9d200e044ba4ffea776ebb2a64bc7337b04f4d20190ad59f9a3d0abb","first_computed_at":"2026-05-18T01:22:29.010436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:29.010436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e/k28CiVTxpPuh6y8QnTnUgD6rx++KqrrXStVezaDTl+9wHDOMRmbpaQe0yTH07pU+YTqNj0djJIVQk9QCzZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:29.010865Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.5474","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a92727ff25bb53b5902eb6266459c0b77e87602af7af2f1a62878cdae4d1aa2","sha256:a2c4673273b16c8956981a145151130ed8f80f0c816409ce9d0332dc15b0a365"],"state_sha256":"c6caecff446c25b4627206eef787e39c9aac1ffd77a445c0c35a37c105486e26"}