{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:HDH3QZRPGPQFNCHT5TVVL7LONG","short_pith_number":"pith:HDH3QZRP","canonical_record":{"source":{"id":"2004.11469","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2020-04-23T21:39:12Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"7fc6e45a97a66f5e793e27ec4504b55eae22ca27ecbd3c14cb169669668d77e6","abstract_canon_sha256":"25cef567235addc8b76705f0edb173aeedfcd61b6818a65bd078a7c249c8a2b4"},"schema_version":"1.0"},"canonical_sha256":"38cfb8662f33e05688f3eceb55fd6e69a82672451111dcd75232dd6558a9a7f9","source":{"kind":"arxiv","id":"2004.11469","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.11469","created_at":"2026-07-05T01:02:30Z"},{"alias_kind":"arxiv_version","alias_value":"2004.11469v3","created_at":"2026-07-05T01:02:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.11469","created_at":"2026-07-05T01:02:30Z"},{"alias_kind":"pith_short_12","alias_value":"HDH3QZRPGPQF","created_at":"2026-07-05T01:02:30Z"},{"alias_kind":"pith_short_16","alias_value":"HDH3QZRPGPQFNCHT","created_at":"2026-07-05T01:02:30Z"},{"alias_kind":"pith_short_8","alias_value":"HDH3QZRP","created_at":"2026-07-05T01:02:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:HDH3QZRPGPQFNCHT5TVVL7LONG","target":"record","payload":{"canonical_record":{"source":{"id":"2004.11469","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2020-04-23T21:39:12Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"7fc6e45a97a66f5e793e27ec4504b55eae22ca27ecbd3c14cb169669668d77e6","abstract_canon_sha256":"25cef567235addc8b76705f0edb173aeedfcd61b6818a65bd078a7c249c8a2b4"},"schema_version":"1.0"},"canonical_sha256":"38cfb8662f33e05688f3eceb55fd6e69a82672451111dcd75232dd6558a9a7f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:02:30.030888Z","signature_b64":"+t0f27zUXNxEYAv5ecHUeP5eRFPnMdTc3ZPgn/CeVC+LWpHRnPPhuHwZ+WnJNAvIQ25DjeJjUsprj7qt72yeBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38cfb8662f33e05688f3eceb55fd6e69a82672451111dcd75232dd6558a9a7f9","last_reissued_at":"2026-07-05T01:02:30.030494Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:02:30.030494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2004.11469","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:02:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oT8sjgF8Jcby7rduP2CrtA8pwIeXDG5p9cR3Bu4lu6KnLc2XpVnrlKBcyQP/1g6wQOumdnsDM/wgKOKt5DU6BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T12:35:01.816341Z"},"content_sha256":"e81f913a069d506910459816e725fb21ac3b7b27fc776387bddbd7c390d6a56d","schema_version":"1.0","event_id":"sha256:e81f913a069d506910459816e725fb21ac3b7b27fc776387bddbd7c390d6a56d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:HDH3QZRPGPQFNCHT5TVVL7LONG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Jealousy-freeness and other common properties in Fair Division of Mixed Manna","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.GT","authors_text":"Martin Aleksandrov","submitted_at":"2020-04-23T21:39:12Z","abstract_excerpt":"We consider a fair division setting where indivisible items are allocated to agents. Each agent in the setting has strictly negative, zero or strictly positive utility for each item. We, thus, make a distinction between items that are good for some agents and bad for other agents (i.e. mixed), good for everyone (i.e. goods) or bad for everyone (i.e. bads). For this model, we study axiomatic concepts of allocations such as jealousy-freeness up to one item, envy-freeness up to one item and Pareto-optimality. We obtain many new possibility and impossibility results in regard to combinations of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.11469","kind":"arxiv","version":3},"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/2004.11469/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":"2026-07-05T01:02:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"etT7V4My3476U5zMbMp5nMV69vwCbmVsJERCuQo9hruizZfCy2AEoacJleDFIyaLq3oUqB/U1P6d+yfhu13uDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T12:35:01.816896Z"},"content_sha256":"9ccd808c949f5d466e983f69f417a76ebddde78f276777b9a7b865c32c80985d","schema_version":"1.0","event_id":"sha256:9ccd808c949f5d466e983f69f417a76ebddde78f276777b9a7b865c32c80985d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HDH3QZRPGPQFNCHT5TVVL7LONG/bundle.json","state_url":"https://pith.science/pith/HDH3QZRPGPQFNCHT5TVVL7LONG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HDH3QZRPGPQFNCHT5TVVL7LONG/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":"2026-08-16T12:35:01Z","links":{"resolver":"https://pith.science/pith/HDH3QZRPGPQFNCHT5TVVL7LONG","bundle":"https://pith.science/pith/HDH3QZRPGPQFNCHT5TVVL7LONG/bundle.json","state":"https://pith.science/pith/HDH3QZRPGPQFNCHT5TVVL7LONG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HDH3QZRPGPQFNCHT5TVVL7LONG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:HDH3QZRPGPQFNCHT5TVVL7LONG","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":"25cef567235addc8b76705f0edb173aeedfcd61b6818a65bd078a7c249c8a2b4","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2020-04-23T21:39:12Z","title_canon_sha256":"7fc6e45a97a66f5e793e27ec4504b55eae22ca27ecbd3c14cb169669668d77e6"},"schema_version":"1.0","source":{"id":"2004.11469","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.11469","created_at":"2026-07-05T01:02:30Z"},{"alias_kind":"arxiv_version","alias_value":"2004.11469v3","created_at":"2026-07-05T01:02:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.11469","created_at":"2026-07-05T01:02:30Z"},{"alias_kind":"pith_short_12","alias_value":"HDH3QZRPGPQF","created_at":"2026-07-05T01:02:30Z"},{"alias_kind":"pith_short_16","alias_value":"HDH3QZRPGPQFNCHT","created_at":"2026-07-05T01:02:30Z"},{"alias_kind":"pith_short_8","alias_value":"HDH3QZRP","created_at":"2026-07-05T01:02:30Z"}],"graph_snapshots":[{"event_id":"sha256:9ccd808c949f5d466e983f69f417a76ebddde78f276777b9a7b865c32c80985d","target":"graph","created_at":"2026-07-05T01:02:30Z","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/2004.11469/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a fair division setting where indivisible items are allocated to agents. Each agent in the setting has strictly negative, zero or strictly positive utility for each item. We, thus, make a distinction between items that are good for some agents and bad for other agents (i.e. mixed), good for everyone (i.e. goods) or bad for everyone (i.e. bads). For this model, we study axiomatic concepts of allocations such as jealousy-freeness up to one item, envy-freeness up to one item and Pareto-optimality. We obtain many new possibility and impossibility results in regard to combinations of th","authors_text":"Martin Aleksandrov","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2020-04-23T21:39:12Z","title":"Jealousy-freeness and other common properties in Fair Division of Mixed Manna"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.11469","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:e81f913a069d506910459816e725fb21ac3b7b27fc776387bddbd7c390d6a56d","target":"record","created_at":"2026-07-05T01:02:30Z","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":"25cef567235addc8b76705f0edb173aeedfcd61b6818a65bd078a7c249c8a2b4","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2020-04-23T21:39:12Z","title_canon_sha256":"7fc6e45a97a66f5e793e27ec4504b55eae22ca27ecbd3c14cb169669668d77e6"},"schema_version":"1.0","source":{"id":"2004.11469","kind":"arxiv","version":3}},"canonical_sha256":"38cfb8662f33e05688f3eceb55fd6e69a82672451111dcd75232dd6558a9a7f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38cfb8662f33e05688f3eceb55fd6e69a82672451111dcd75232dd6558a9a7f9","first_computed_at":"2026-07-05T01:02:30.030494Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:02:30.030494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+t0f27zUXNxEYAv5ecHUeP5eRFPnMdTc3ZPgn/CeVC+LWpHRnPPhuHwZ+WnJNAvIQ25DjeJjUsprj7qt72yeBg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:02:30.030888Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.11469","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e81f913a069d506910459816e725fb21ac3b7b27fc776387bddbd7c390d6a56d","sha256:9ccd808c949f5d466e983f69f417a76ebddde78f276777b9a7b865c32c80985d"],"state_sha256":"4d19e6641e79c870bec0171fe140d7b3c6b81c3c48c751e86b43e3ee1e87782c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hh44G8U6mGnhWCbGuXkbHRjhol5N6FM/IOXma9PwU6MUKol4me6xG2UfwS2PqS8btblH9qhHmBl9kjAtg4/8Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T12:35:01.821179Z","bundle_sha256":"c622df6b0b4b8f34070e7d59a3875bc9090a886f0137f92a425c41a70dd37c74"}}