{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PZ2QJM6ESA7TIDZKEPOWDYAERI","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":"a3de65fb4cc8143f1bd7ad870f76f32ee97b90f073b8213ae1c0e17af4c01a70","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2019-11-22T12:52:34Z","title_canon_sha256":"6af92e55932d56798db51b6847cbbea6cb8377440d2e76a24cc1175ca58ccc3a"},"schema_version":"1.0","source":{"id":"1911.10009","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.10009","created_at":"2026-07-05T01:35:44Z"},{"alias_kind":"arxiv_version","alias_value":"1911.10009v3","created_at":"2026-07-05T01:35:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.10009","created_at":"2026-07-05T01:35:44Z"},{"alias_kind":"pith_short_12","alias_value":"PZ2QJM6ESA7T","created_at":"2026-07-05T01:35:44Z"},{"alias_kind":"pith_short_16","alias_value":"PZ2QJM6ESA7TIDZK","created_at":"2026-07-05T01:35:44Z"},{"alias_kind":"pith_short_8","alias_value":"PZ2QJM6E","created_at":"2026-07-05T01:35:44Z"}],"graph_snapshots":[{"event_id":"sha256:5e0ff8ff7d560302d21acf6dd0829c35431eeb3ade8a3f94eae7e6d09045c8d3","target":"graph","created_at":"2026-07-05T01:35:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1911.10009/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"To divide a \"manna\" {\\Omega} of private items (commodities, workloads, land, time intervals) between n agents, the worst case measure of fairness is the welfare guaranteed to each agent, irrespective of others' preferences. If the manna is non atomic and utilities are continuous (not necessarily monotone or convex), we can guarantee the minMax utility: that of our agent's best share in her worst partition of the manna; and implement it by Kuhn's generalisation of Divide and Choose. The larger Maxmin utility -- of her worst share in her best partition -- cannot be guaranteed, even for two agent","authors_text":"Anna Bogomolnaia, Herve Moulin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2019-11-22T12:52:34Z","title":"Guarantees in Fair Division: general or monotone preferences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.10009","kind":"arxiv","version":3},"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:f3ced2222fdc3da239af685cd61c5bc9ba856ea05857adf07fdda587bae07588","target":"record","created_at":"2026-07-05T01:35:44Z","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":"a3de65fb4cc8143f1bd7ad870f76f32ee97b90f073b8213ae1c0e17af4c01a70","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.TH","submitted_at":"2019-11-22T12:52:34Z","title_canon_sha256":"6af92e55932d56798db51b6847cbbea6cb8377440d2e76a24cc1175ca58ccc3a"},"schema_version":"1.0","source":{"id":"1911.10009","kind":"arxiv","version":3}},"canonical_sha256":"7e7504b3c4903f340f2a23dd61e0048a0cdcf21cd2e7c24a8f2d52c0d8bc490c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e7504b3c4903f340f2a23dd61e0048a0cdcf21cd2e7c24a8f2d52c0d8bc490c","first_computed_at":"2026-07-05T01:35:44.210681Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:35:44.210681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cR++CuFgTgolliJefb+2by/Xd2RT1UukP67Y5/0tKlFIufYuKyU7WT4TUEYz0Ms1R0FGZJDGOQBj2triILONBg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:35:44.211043Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.10009","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3ced2222fdc3da239af685cd61c5bc9ba856ea05857adf07fdda587bae07588","sha256:5e0ff8ff7d560302d21acf6dd0829c35431eeb3ade8a3f94eae7e6d09045c8d3"],"state_sha256":"426148861bc4cca82accaaca398d7c17903df6098e64e0f41460978fe55ec303"}