{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:XHQXDL3IT4IPGZIN336ICQYXGY","short_pith_number":"pith:XHQXDL3I","schema_version":"1.0","canonical_sha256":"b9e171af689f10f3650ddefc814317363c133a07e5abd13480fce1801b4fc753","source":{"kind":"arxiv","id":"2606.06317","version":1},"attestation_state":"computed","paper":{"title":"Constant Approximation for Hylland--Zeckhauser Equilibria","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Yonglei Yan, Zhengyang Liu","submitted_at":"2026-06-04T15:54:58Z","abstract_excerpt":"We present a polynomial-time algorithm for computing a $1/e$-approximate Hylland--Zeckhauser (HZ) equilibrium. This establishes the \\emph{first} efficient approximation guarantee for HZ equilibria in settings with multi-valued utilities. Our main technical contribution is a novel utility stratification technique that reduces the original multi-valued market to a structured bi-valued instance. This reduction allows us to efficiently compute the approximation by leveraging the exact algorithm of Vazirani and Yannakakis."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.06317","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2026-06-04T15:54:58Z","cross_cats_sorted":[],"title_canon_sha256":"3dc72c5895c5b2fc17639fd50bf848fca5564315ad8d69a4331db706b1f894fd","abstract_canon_sha256":"121e7fa7b1a1554bee367c721f641becbd012a0eca54ffb96dcc46d502a3d553"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-05T01:15:41.762296Z","signature_b64":"+AlHn5n+jHI7uxYWY16riD6BpbfsLzPi8OQCpgCUuJI1bY01hvjQYwYAg2kUennpWaLatSVu2+qq+mFSBkClDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9e171af689f10f3650ddefc814317363c133a07e5abd13480fce1801b4fc753","last_reissued_at":"2026-06-05T01:15:41.761735Z","signature_status":"signed_v1","first_computed_at":"2026-06-05T01:15:41.761735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constant Approximation for Hylland--Zeckhauser Equilibria","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Yonglei Yan, Zhengyang Liu","submitted_at":"2026-06-04T15:54:58Z","abstract_excerpt":"We present a polynomial-time algorithm for computing a $1/e$-approximate Hylland--Zeckhauser (HZ) equilibrium. This establishes the \\emph{first} efficient approximation guarantee for HZ equilibria in settings with multi-valued utilities. Our main technical contribution is a novel utility stratification technique that reduces the original multi-valued market to a structured bi-valued instance. This reduction allows us to efficiently compute the approximation by leveraging the exact algorithm of Vazirani and Yannakakis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06317","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.06317/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.06317","created_at":"2026-06-05T01:15:41.761824+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.06317v1","created_at":"2026-06-05T01:15:41.761824+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06317","created_at":"2026-06-05T01:15:41.761824+00:00"},{"alias_kind":"pith_short_12","alias_value":"XHQXDL3IT4IP","created_at":"2026-06-05T01:15:41.761824+00:00"},{"alias_kind":"pith_short_16","alias_value":"XHQXDL3IT4IPGZIN","created_at":"2026-06-05T01:15:41.761824+00:00"},{"alias_kind":"pith_short_8","alias_value":"XHQXDL3I","created_at":"2026-06-05T01:15:41.761824+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XHQXDL3IT4IPGZIN336ICQYXGY","json":"https://pith.science/pith/XHQXDL3IT4IPGZIN336ICQYXGY.json","graph_json":"https://pith.science/api/pith-number/XHQXDL3IT4IPGZIN336ICQYXGY/graph.json","events_json":"https://pith.science/api/pith-number/XHQXDL3IT4IPGZIN336ICQYXGY/events.json","paper":"https://pith.science/paper/XHQXDL3I"},"agent_actions":{"view_html":"https://pith.science/pith/XHQXDL3IT4IPGZIN336ICQYXGY","download_json":"https://pith.science/pith/XHQXDL3IT4IPGZIN336ICQYXGY.json","view_paper":"https://pith.science/paper/XHQXDL3I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.06317&json=true","fetch_graph":"https://pith.science/api/pith-number/XHQXDL3IT4IPGZIN336ICQYXGY/graph.json","fetch_events":"https://pith.science/api/pith-number/XHQXDL3IT4IPGZIN336ICQYXGY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XHQXDL3IT4IPGZIN336ICQYXGY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XHQXDL3IT4IPGZIN336ICQYXGY/action/storage_attestation","attest_author":"https://pith.science/pith/XHQXDL3IT4IPGZIN336ICQYXGY/action/author_attestation","sign_citation":"https://pith.science/pith/XHQXDL3IT4IPGZIN336ICQYXGY/action/citation_signature","submit_replication":"https://pith.science/pith/XHQXDL3IT4IPGZIN336ICQYXGY/action/replication_record"}},"created_at":"2026-06-05T01:15:41.761824+00:00","updated_at":"2026-06-05T01:15:41.761824+00:00"}