{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:DLF4GC4O4UDY6DED6VS3KK2TRL","short_pith_number":"pith:DLF4GC4O","canonical_record":{"source":{"id":"2502.09006","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2025-02-13T06:51:05Z","cross_cats_sorted":[],"title_canon_sha256":"f8170c07e4d45e9dad5b99045847a057707875903abd6d89e81e0a09690bb4b3","abstract_canon_sha256":"2534fb1aa64bfeb8abc41f2761d4d65b13acf7f71c8dea5b2f6f521ad8dcb2d0"},"schema_version":"1.0"},"canonical_sha256":"1acbc30b8ee5078f0c83f565b52b538adc2ef694bed0f5796022159bedd22a4d","source":{"kind":"arxiv","id":"2502.09006","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.09006","created_at":"2026-07-05T10:25:17Z"},{"alias_kind":"arxiv_version","alias_value":"2502.09006v5","created_at":"2026-07-05T10:25:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.09006","created_at":"2026-07-05T10:25:17Z"},{"alias_kind":"pith_short_12","alias_value":"DLF4GC4O4UDY","created_at":"2026-07-05T10:25:17Z"},{"alias_kind":"pith_short_16","alias_value":"DLF4GC4O4UDY6DED","created_at":"2026-07-05T10:25:17Z"},{"alias_kind":"pith_short_8","alias_value":"DLF4GC4O","created_at":"2026-07-05T10:25:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:DLF4GC4O4UDY6DED6VS3KK2TRL","target":"record","payload":{"canonical_record":{"source":{"id":"2502.09006","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2025-02-13T06:51:05Z","cross_cats_sorted":[],"title_canon_sha256":"f8170c07e4d45e9dad5b99045847a057707875903abd6d89e81e0a09690bb4b3","abstract_canon_sha256":"2534fb1aa64bfeb8abc41f2761d4d65b13acf7f71c8dea5b2f6f521ad8dcb2d0"},"schema_version":"1.0"},"canonical_sha256":"1acbc30b8ee5078f0c83f565b52b538adc2ef694bed0f5796022159bedd22a4d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:25:17.295018Z","signature_b64":"+zYN6RGKYwdiypj5Q9jIv8MEBbQWG7+OUR0CGW1Do8C3M4Iywkne564O+F9I2lEFXnfjfausTtXuEkcQGt1XCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1acbc30b8ee5078f0c83f565b52b538adc2ef694bed0f5796022159bedd22a4d","last_reissued_at":"2026-07-05T10:25:17.294489Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:25:17.294489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.09006","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:25:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cu5gZ37FH73GYCBqtvO3vEEgmosxcLjcGHWR2JI+EHpfFnfD/jMYenUi9JWylT3Pg6vce5lutSyJZ6r4xi74AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T13:53:08.344548Z"},"content_sha256":"a3a88b723ada050f3c30e7703198c4de106a5c84023b785db7955d793e5cc6eb","schema_version":"1.0","event_id":"sha256:a3a88b723ada050f3c30e7703198c4de106a5c84023b785db7955d793e5cc6eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:DLF4GC4O4UDY6DED6VS3KK2TRL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Whoever Said Money Won't Solve All Your Problems? Weighted Envy-free Allocation with Subsidy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Erel Segal-Halevi, Haris Aziz, Indrajit Saha, Kei Kimura, Makoto Yokoo, Mashbat Suzuki, Noga Klein Elmalem, Rica Gonen, Xin Huang, Zhaohong Sun","submitted_at":"2025-02-13T06:51:05Z","abstract_excerpt":"We explore solutions for fairly allocating indivisible items among agents assigned weights representing their entitlements. Our fairness goal is weighted-envy-freeness (WEF), where each agent deems their allocated portion relative to their entitlement at least as favorable as any others relative to their own. Often, achieving WEF necessitates monetary transfers, which can be modeled as third-party subsidies. The goal is to attain WEF with bounded subsidies.\n  Previous work relied on characterizations of unweighted envy-freeness (EF), that fail in the weighted setting. This makes our new settin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.09006","kind":"arxiv","version":5},"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/2502.09006/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:25:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FbkbgGs850toGfVmjsTkUsCG3AwNl/e2IVVjyLWTQGryYnVwf/vNrDjWdiQrU57JVivuR0gpzr+efzfZ9BmECQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T13:53:08.345055Z"},"content_sha256":"fb36c3e96c29c8ffc5b2d580396c642a5ff7690bbdae8db0d7daea60198d0a0e","schema_version":"1.0","event_id":"sha256:fb36c3e96c29c8ffc5b2d580396c642a5ff7690bbdae8db0d7daea60198d0a0e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DLF4GC4O4UDY6DED6VS3KK2TRL/bundle.json","state_url":"https://pith.science/pith/DLF4GC4O4UDY6DED6VS3KK2TRL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DLF4GC4O4UDY6DED6VS3KK2TRL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-18T13:53:08Z","links":{"resolver":"https://pith.science/pith/DLF4GC4O4UDY6DED6VS3KK2TRL","bundle":"https://pith.science/pith/DLF4GC4O4UDY6DED6VS3KK2TRL/bundle.json","state":"https://pith.science/pith/DLF4GC4O4UDY6DED6VS3KK2TRL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DLF4GC4O4UDY6DED6VS3KK2TRL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DLF4GC4O4UDY6DED6VS3KK2TRL","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":"2534fb1aa64bfeb8abc41f2761d4d65b13acf7f71c8dea5b2f6f521ad8dcb2d0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2025-02-13T06:51:05Z","title_canon_sha256":"f8170c07e4d45e9dad5b99045847a057707875903abd6d89e81e0a09690bb4b3"},"schema_version":"1.0","source":{"id":"2502.09006","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.09006","created_at":"2026-07-05T10:25:17Z"},{"alias_kind":"arxiv_version","alias_value":"2502.09006v5","created_at":"2026-07-05T10:25:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.09006","created_at":"2026-07-05T10:25:17Z"},{"alias_kind":"pith_short_12","alias_value":"DLF4GC4O4UDY","created_at":"2026-07-05T10:25:17Z"},{"alias_kind":"pith_short_16","alias_value":"DLF4GC4O4UDY6DED","created_at":"2026-07-05T10:25:17Z"},{"alias_kind":"pith_short_8","alias_value":"DLF4GC4O","created_at":"2026-07-05T10:25:17Z"}],"graph_snapshots":[{"event_id":"sha256:fb36c3e96c29c8ffc5b2d580396c642a5ff7690bbdae8db0d7daea60198d0a0e","target":"graph","created_at":"2026-07-05T10:25:17Z","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/2502.09006/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We explore solutions for fairly allocating indivisible items among agents assigned weights representing their entitlements. Our fairness goal is weighted-envy-freeness (WEF), where each agent deems their allocated portion relative to their entitlement at least as favorable as any others relative to their own. Often, achieving WEF necessitates monetary transfers, which can be modeled as third-party subsidies. The goal is to attain WEF with bounded subsidies.\n  Previous work relied on characterizations of unweighted envy-freeness (EF), that fail in the weighted setting. This makes our new settin","authors_text":"Erel Segal-Halevi, Haris Aziz, Indrajit Saha, Kei Kimura, Makoto Yokoo, Mashbat Suzuki, Noga Klein Elmalem, Rica Gonen, Xin Huang, Zhaohong Sun","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2025-02-13T06:51:05Z","title":"Whoever Said Money Won't Solve All Your Problems? Weighted Envy-free Allocation with Subsidy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.09006","kind":"arxiv","version":5},"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:a3a88b723ada050f3c30e7703198c4de106a5c84023b785db7955d793e5cc6eb","target":"record","created_at":"2026-07-05T10:25:17Z","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":"2534fb1aa64bfeb8abc41f2761d4d65b13acf7f71c8dea5b2f6f521ad8dcb2d0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2025-02-13T06:51:05Z","title_canon_sha256":"f8170c07e4d45e9dad5b99045847a057707875903abd6d89e81e0a09690bb4b3"},"schema_version":"1.0","source":{"id":"2502.09006","kind":"arxiv","version":5}},"canonical_sha256":"1acbc30b8ee5078f0c83f565b52b538adc2ef694bed0f5796022159bedd22a4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1acbc30b8ee5078f0c83f565b52b538adc2ef694bed0f5796022159bedd22a4d","first_computed_at":"2026-07-05T10:25:17.294489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:25:17.294489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+zYN6RGKYwdiypj5Q9jIv8MEBbQWG7+OUR0CGW1Do8C3M4Iywkne564O+F9I2lEFXnfjfausTtXuEkcQGt1XCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:25:17.295018Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.09006","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3a88b723ada050f3c30e7703198c4de106a5c84023b785db7955d793e5cc6eb","sha256:fb36c3e96c29c8ffc5b2d580396c642a5ff7690bbdae8db0d7daea60198d0a0e"],"state_sha256":"eec101f63f3212ab509da229c6e1ad890e408ab7c16eb5176bc46414c071dfaa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1VVldHw1KPa5z0cdnKgPtpUU6lGdtOB36QQvBBkQF+81Kdno0OFmptPFDd/qLQpk/KKeKVIxFIERF3lOgFlICg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T13:53:08.349694Z","bundle_sha256":"8bafdbad8c96f5576c3f718560962c8cc72099c57354b4be97b82875cb03b301"}}