{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:JOG42BTLGYZKX3RS4A6Q5GJXFK","short_pith_number":"pith:JOG42BTL","schema_version":"1.0","canonical_sha256":"4b8dcd066b3632abee32e03d0e99372abc573203c485d009165d4d0a333b00ca","source":{"kind":"arxiv","id":"2608.10397","version":1},"attestation_state":"computed","paper":{"title":"To EFX OR to MMS, That is the Question","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Hadi Hosseini, Payas Khurana, Rohit Vaish, Shraddha Pathak","submitted_at":"2026-08-11T02:45:35Z","abstract_excerpt":"We study the agent-wise disjunction of two central fairness notions for indivisible items, where every agent must be either envy-free up to any item (EFX) or maximin-share (MMS) satisfied. One might expect this flexibility to restore existence, especially because the existence of EFX itself resisted resolution for nearly a decade. Surprisingly, it does not. We construct counterexamples with three agents and eight submodular goods, and with three agents and seven submodular chores, significantly strengthening recent EFX impossibility results. On the positive side, we prove existence for additiv"},"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":"2608.10397","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2026-08-11T02:45:35Z","cross_cats_sorted":[],"title_canon_sha256":"da7355e0b367ba840a4d036ff86a4d1828a9193800f3a84828046c4c48a32ad2","abstract_canon_sha256":"3e06ccb79e5c331bbda2037954acd219986c4c2824036f7be1fc697d41d2823b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-12T00:24:03.468685Z","signature_b64":"sD9onQ/dCRH/78kQJdvuhazDvixtEPm0n4IjMewz3Nteb6z8bQiFewZEnZTyjBKlrEtkDGDNgkkSu1pZbd+8DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b8dcd066b3632abee32e03d0e99372abc573203c485d009165d4d0a333b00ca","last_reissued_at":"2026-08-12T00:24:03.461000Z","signature_status":"signed_v1","first_computed_at":"2026-08-12T00:24:03.461000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"To EFX OR to MMS, That is the Question","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Hadi Hosseini, Payas Khurana, Rohit Vaish, Shraddha Pathak","submitted_at":"2026-08-11T02:45:35Z","abstract_excerpt":"We study the agent-wise disjunction of two central fairness notions for indivisible items, where every agent must be either envy-free up to any item (EFX) or maximin-share (MMS) satisfied. One might expect this flexibility to restore existence, especially because the existence of EFX itself resisted resolution for nearly a decade. Surprisingly, it does not. We construct counterexamples with three agents and eight submodular goods, and with three agents and seven submodular chores, significantly strengthening recent EFX impossibility results. On the positive side, we prove existence for additiv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.10397","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/2608.10397/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":"2608.10397","created_at":"2026-08-12T00:24:03.464942+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.10397v1","created_at":"2026-08-12T00:24:03.464942+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.10397","created_at":"2026-08-12T00:24:03.464942+00:00"},{"alias_kind":"pith_short_12","alias_value":"JOG42BTLGYZK","created_at":"2026-08-12T00:24:03.464942+00:00"},{"alias_kind":"pith_short_16","alias_value":"JOG42BTLGYZKX3RS","created_at":"2026-08-12T00:24:03.464942+00:00"},{"alias_kind":"pith_short_8","alias_value":"JOG42BTL","created_at":"2026-08-12T00:24:03.464942+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/JOG42BTLGYZKX3RS4A6Q5GJXFK","json":"https://pith.science/pith/JOG42BTLGYZKX3RS4A6Q5GJXFK.json","graph_json":"https://pith.science/api/pith-number/JOG42BTLGYZKX3RS4A6Q5GJXFK/graph.json","events_json":"https://pith.science/api/pith-number/JOG42BTLGYZKX3RS4A6Q5GJXFK/events.json","paper":"https://pith.science/paper/JOG42BTL"},"agent_actions":{"view_html":"https://pith.science/pith/JOG42BTLGYZKX3RS4A6Q5GJXFK","download_json":"https://pith.science/pith/JOG42BTLGYZKX3RS4A6Q5GJXFK.json","view_paper":"https://pith.science/paper/JOG42BTL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.10397&json=true","fetch_graph":"https://pith.science/api/pith-number/JOG42BTLGYZKX3RS4A6Q5GJXFK/graph.json","fetch_events":"https://pith.science/api/pith-number/JOG42BTLGYZKX3RS4A6Q5GJXFK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JOG42BTLGYZKX3RS4A6Q5GJXFK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JOG42BTLGYZKX3RS4A6Q5GJXFK/action/storage_attestation","attest_author":"https://pith.science/pith/JOG42BTLGYZKX3RS4A6Q5GJXFK/action/author_attestation","sign_citation":"https://pith.science/pith/JOG42BTLGYZKX3RS4A6Q5GJXFK/action/citation_signature","submit_replication":"https://pith.science/pith/JOG42BTLGYZKX3RS4A6Q5GJXFK/action/replication_record"}},"created_at":"2026-08-12T00:24:03.464942+00:00","updated_at":"2026-08-12T00:24:03.464942+00:00"}