{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:EZO2BDY2N64HIIUVHS5JKUQFZ7","short_pith_number":"pith:EZO2BDY2","canonical_record":{"source":{"id":"2506.18794","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2025-06-23T16:02:23Z","cross_cats_sorted":["econ.TH"],"title_canon_sha256":"eb3a741577bb7666fc015c698280b999baa5182490f7191fc79506295a8b848e","abstract_canon_sha256":"22f3d9054644da6a7e34aac228f2936410343d1f0e0afd0a710519a2a19fc9ef"},"schema_version":"1.0"},"canonical_sha256":"265da08f1a6fb87422953cba955205cff8d74496fe7855000f89dbee00c09d2c","source":{"kind":"arxiv","id":"2506.18794","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.18794","created_at":"2026-07-05T11:25:56Z"},{"alias_kind":"arxiv_version","alias_value":"2506.18794v1","created_at":"2026-07-05T11:25:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.18794","created_at":"2026-07-05T11:25:56Z"},{"alias_kind":"pith_short_12","alias_value":"EZO2BDY2N64H","created_at":"2026-07-05T11:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"EZO2BDY2N64HIIUV","created_at":"2026-07-05T11:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"EZO2BDY2","created_at":"2026-07-05T11:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:EZO2BDY2N64HIIUVHS5JKUQFZ7","target":"record","payload":{"canonical_record":{"source":{"id":"2506.18794","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2025-06-23T16:02:23Z","cross_cats_sorted":["econ.TH"],"title_canon_sha256":"eb3a741577bb7666fc015c698280b999baa5182490f7191fc79506295a8b848e","abstract_canon_sha256":"22f3d9054644da6a7e34aac228f2936410343d1f0e0afd0a710519a2a19fc9ef"},"schema_version":"1.0"},"canonical_sha256":"265da08f1a6fb87422953cba955205cff8d74496fe7855000f89dbee00c09d2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:25:56.176264Z","signature_b64":"hL0NgyACYP6m3rZPgfMBtAlMHwfqqbhyoURZAE/1bDZ/ohXAbgSvwSVDfXkndhAlXycRaiWgPnP+1MMn1rauDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"265da08f1a6fb87422953cba955205cff8d74496fe7855000f89dbee00c09d2c","last_reissued_at":"2026-07-05T11:25:56.175798Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:25:56.175798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.18794","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:25:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4nZf1vnwV9m6aUDVUv3nQN6GzyxixK770tkDOrObKfpweL15jqNZT22xKEsJ5xGOOILhWAUR05xfeXmTB6gUAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T16:35:47.176206Z"},"content_sha256":"91554894fe7064a607acc73ef40f4692af7ee3e33941490b491ea18adaf14c00","schema_version":"1.0","event_id":"sha256:91554894fe7064a607acc73ef40f4692af7ee3e33941490b491ea18adaf14c00"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:EZO2BDY2N64HIIUVHS5JKUQFZ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fair Allocation with Money: What is Your Objective?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["econ.TH"],"primary_cat":"cs.GT","authors_text":"Erel Segal-Halevi, Noga Klein Elmalem, Rica Gonen","submitted_at":"2025-06-23T16:02:23Z","abstract_excerpt":"When allocating indivisible items, there are various ways to use monetary transfers for eliminating envy. Particularly, one can apply a balanced vector of transfer payments, or charge each agent a positive amount, or -- contrarily -- give each agent a positive amount as a ``subsidy''. In each model, one can aim to minimize the amount of payments used; this aim translates into different optimization objectives in each setting. This note compares the various models, and the relations between upper and lower bounds for these objectives."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.18794","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/2506.18794/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":"2026-07-05T11:25:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WkL1iueSxIBn2sAIMeNVhof3HmJpWsjeWilRDlKKcV4CxTS4YowKrORvaf65a5ZXqaKo45brBVKkD1SpAWAiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T16:35:47.177781Z"},"content_sha256":"9a5fc094b1fed138e62205edff28ac8e60e7b016130198df2120ef0c07ab27bd","schema_version":"1.0","event_id":"sha256:9a5fc094b1fed138e62205edff28ac8e60e7b016130198df2120ef0c07ab27bd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EZO2BDY2N64HIIUVHS5JKUQFZ7/bundle.json","state_url":"https://pith.science/pith/EZO2BDY2N64HIIUVHS5JKUQFZ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EZO2BDY2N64HIIUVHS5JKUQFZ7/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":"2026-08-18T16:35:47Z","links":{"resolver":"https://pith.science/pith/EZO2BDY2N64HIIUVHS5JKUQFZ7","bundle":"https://pith.science/pith/EZO2BDY2N64HIIUVHS5JKUQFZ7/bundle.json","state":"https://pith.science/pith/EZO2BDY2N64HIIUVHS5JKUQFZ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EZO2BDY2N64HIIUVHS5JKUQFZ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:EZO2BDY2N64HIIUVHS5JKUQFZ7","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":"22f3d9054644da6a7e34aac228f2936410343d1f0e0afd0a710519a2a19fc9ef","cross_cats_sorted":["econ.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2025-06-23T16:02:23Z","title_canon_sha256":"eb3a741577bb7666fc015c698280b999baa5182490f7191fc79506295a8b848e"},"schema_version":"1.0","source":{"id":"2506.18794","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.18794","created_at":"2026-07-05T11:25:56Z"},{"alias_kind":"arxiv_version","alias_value":"2506.18794v1","created_at":"2026-07-05T11:25:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.18794","created_at":"2026-07-05T11:25:56Z"},{"alias_kind":"pith_short_12","alias_value":"EZO2BDY2N64H","created_at":"2026-07-05T11:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"EZO2BDY2N64HIIUV","created_at":"2026-07-05T11:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"EZO2BDY2","created_at":"2026-07-05T11:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:9a5fc094b1fed138e62205edff28ac8e60e7b016130198df2120ef0c07ab27bd","target":"graph","created_at":"2026-07-05T11:25:56Z","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/2506.18794/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"When allocating indivisible items, there are various ways to use monetary transfers for eliminating envy. Particularly, one can apply a balanced vector of transfer payments, or charge each agent a positive amount, or -- contrarily -- give each agent a positive amount as a ``subsidy''. In each model, one can aim to minimize the amount of payments used; this aim translates into different optimization objectives in each setting. This note compares the various models, and the relations between upper and lower bounds for these objectives.","authors_text":"Erel Segal-Halevi, Noga Klein Elmalem, Rica Gonen","cross_cats":["econ.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2025-06-23T16:02:23Z","title":"Fair Allocation with Money: What is Your Objective?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.18794","kind":"arxiv","version":1},"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":"sha256:91554894fe7064a607acc73ef40f4692af7ee3e33941490b491ea18adaf14c00","target":"record","created_at":"2026-07-05T11:25:56Z","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":"22f3d9054644da6a7e34aac228f2936410343d1f0e0afd0a710519a2a19fc9ef","cross_cats_sorted":["econ.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2025-06-23T16:02:23Z","title_canon_sha256":"eb3a741577bb7666fc015c698280b999baa5182490f7191fc79506295a8b848e"},"schema_version":"1.0","source":{"id":"2506.18794","kind":"arxiv","version":1}},"canonical_sha256":"265da08f1a6fb87422953cba955205cff8d74496fe7855000f89dbee00c09d2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"265da08f1a6fb87422953cba955205cff8d74496fe7855000f89dbee00c09d2c","first_computed_at":"2026-07-05T11:25:56.175798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:25:56.175798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hL0NgyACYP6m3rZPgfMBtAlMHwfqqbhyoURZAE/1bDZ/ohXAbgSvwSVDfXkndhAlXycRaiWgPnP+1MMn1rauDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:25:56.176264Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.18794","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91554894fe7064a607acc73ef40f4692af7ee3e33941490b491ea18adaf14c00","sha256:9a5fc094b1fed138e62205edff28ac8e60e7b016130198df2120ef0c07ab27bd"],"state_sha256":"d4b4575ac17e36150b04f54f24f7430f2bb31a80cfe903e3959fce1262f80716"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cXfTKtGxAq7CBUNUAaryt9R6lRjgrnzQu9MWL4J8/Wg/FFdlKeQpSxxM4OB82zYYdoyEXx/2IHIrvhnjdRmCCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T16:35:47.195076Z","bundle_sha256":"af358c750dab919237713099d730d3e48f87af08200eb9e2e467775dd560e942"}}