{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:QMEAULQBXKIOL6UIRLCW6D6ZV5","short_pith_number":"pith:QMEAULQB","canonical_record":{"source":{"id":"2104.07387","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2021-04-15T11:32:18Z","cross_cats_sorted":[],"title_canon_sha256":"4d327598968946f842e2fe91bc661769e9f21a6bd5fb70151c28ab0eae6057f3","abstract_canon_sha256":"928c4d6e9b1569a7606d5cc29c14efcb62dedc859547e987b5e5358dc2065557"},"schema_version":"1.0"},"canonical_sha256":"83080a2e01ba90e5fa888ac56f0fd9af5f0fcf0221d6eabb33a3d9d907aed4fe","source":{"kind":"arxiv","id":"2104.07387","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.07387","created_at":"2026-07-05T05:56:12Z"},{"alias_kind":"arxiv_version","alias_value":"2104.07387v3","created_at":"2026-07-05T05:56:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.07387","created_at":"2026-07-05T05:56:12Z"},{"alias_kind":"pith_short_12","alias_value":"QMEAULQBXKIO","created_at":"2026-07-05T05:56:12Z"},{"alias_kind":"pith_short_16","alias_value":"QMEAULQBXKIOL6UI","created_at":"2026-07-05T05:56:12Z"},{"alias_kind":"pith_short_8","alias_value":"QMEAULQB","created_at":"2026-07-05T05:56:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:QMEAULQBXKIOL6UIRLCW6D6ZV5","target":"record","payload":{"canonical_record":{"source":{"id":"2104.07387","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2021-04-15T11:32:18Z","cross_cats_sorted":[],"title_canon_sha256":"4d327598968946f842e2fe91bc661769e9f21a6bd5fb70151c28ab0eae6057f3","abstract_canon_sha256":"928c4d6e9b1569a7606d5cc29c14efcb62dedc859547e987b5e5358dc2065557"},"schema_version":"1.0"},"canonical_sha256":"83080a2e01ba90e5fa888ac56f0fd9af5f0fcf0221d6eabb33a3d9d907aed4fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:56:12.431761Z","signature_b64":"s67wIZLkErqoz9jbNMOG1DmYDrZPHFDxEnu3ZHa/cQZDQS7F/46BEMovaHwuBxtLMfQXs0DDO8+vfEczlJY6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83080a2e01ba90e5fa888ac56f0fd9af5f0fcf0221d6eabb33a3d9d907aed4fe","last_reissued_at":"2026-07-05T05:56:12.431402Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:56:12.431402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2104.07387","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":"2026-07-05T05:56:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yQcTtM+tPNKsb9PEfC4VAvpbRYfZjVhSx5DD7gcADLDv/IHxso1kJp++9DmJw3MqjIkDfd2wLD4PVbm0klwdCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T01:33:54.582261Z"},"content_sha256":"a69dd5e36004f43f20a06474d2c763fb6bb749179d9824a43ea900a042451f0c","schema_version":"1.0","event_id":"sha256:a69dd5e36004f43f20a06474d2c763fb6bb749179d9824a43ea900a042451f0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:QMEAULQBXKIOL6UIRLCW6D6ZV5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Existence of Truthful Fair Cake Cutting Mechanisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Biaoshuai Tao, Jiaxin Song, Xiaolin Bu","submitted_at":"2021-04-15T11:32:18Z","abstract_excerpt":"We study the fair division problem on divisible heterogeneous resources (the cake cutting problem) with strategic agents, where each agent can manipulate his/her private valuation in order to receive a better allocation. A (direct-revelation) mechanism takes agents' reported valuations as input and outputs an allocation that satisfies a given fairness requirement. A natural and fundamental open problem, first raised by [Chen et al., 2010] and subsequently raised by [Procaccia, 2013] [Aziz and Ye, 2014] [Branzei and Miltersen, 2015] [Menon and Larson, 2017] [Bei et al., 2017] [Bei et al., 2020]"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.07387","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/2104.07387/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":"2026-07-05T05:56:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fZLVAxKzOdGKPLsFukcCwGvDWNp0skdjADmiyyn4XCFMMJMzgqxktGT5Es5P7vIc5yWTVU41u007XgvQciYkAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T01:33:54.582774Z"},"content_sha256":"def2333cb6121835c75db3acecd5a6f4c828c3b05357224fd21ec6e702a898a2","schema_version":"1.0","event_id":"sha256:def2333cb6121835c75db3acecd5a6f4c828c3b05357224fd21ec6e702a898a2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QMEAULQBXKIOL6UIRLCW6D6ZV5/bundle.json","state_url":"https://pith.science/pith/QMEAULQBXKIOL6UIRLCW6D6ZV5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QMEAULQBXKIOL6UIRLCW6D6ZV5/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":"2026-08-05T01:33:54Z","links":{"resolver":"https://pith.science/pith/QMEAULQBXKIOL6UIRLCW6D6ZV5","bundle":"https://pith.science/pith/QMEAULQBXKIOL6UIRLCW6D6ZV5/bundle.json","state":"https://pith.science/pith/QMEAULQBXKIOL6UIRLCW6D6ZV5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QMEAULQBXKIOL6UIRLCW6D6ZV5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:QMEAULQBXKIOL6UIRLCW6D6ZV5","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":"928c4d6e9b1569a7606d5cc29c14efcb62dedc859547e987b5e5358dc2065557","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2021-04-15T11:32:18Z","title_canon_sha256":"4d327598968946f842e2fe91bc661769e9f21a6bd5fb70151c28ab0eae6057f3"},"schema_version":"1.0","source":{"id":"2104.07387","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.07387","created_at":"2026-07-05T05:56:12Z"},{"alias_kind":"arxiv_version","alias_value":"2104.07387v3","created_at":"2026-07-05T05:56:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.07387","created_at":"2026-07-05T05:56:12Z"},{"alias_kind":"pith_short_12","alias_value":"QMEAULQBXKIO","created_at":"2026-07-05T05:56:12Z"},{"alias_kind":"pith_short_16","alias_value":"QMEAULQBXKIOL6UI","created_at":"2026-07-05T05:56:12Z"},{"alias_kind":"pith_short_8","alias_value":"QMEAULQB","created_at":"2026-07-05T05:56:12Z"}],"graph_snapshots":[{"event_id":"sha256:def2333cb6121835c75db3acecd5a6f4c828c3b05357224fd21ec6e702a898a2","target":"graph","created_at":"2026-07-05T05:56:12Z","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/2104.07387/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the fair division problem on divisible heterogeneous resources (the cake cutting problem) with strategic agents, where each agent can manipulate his/her private valuation in order to receive a better allocation. A (direct-revelation) mechanism takes agents' reported valuations as input and outputs an allocation that satisfies a given fairness requirement. A natural and fundamental open problem, first raised by [Chen et al., 2010] and subsequently raised by [Procaccia, 2013] [Aziz and Ye, 2014] [Branzei and Miltersen, 2015] [Menon and Larson, 2017] [Bei et al., 2017] [Bei et al., 2020]","authors_text":"Biaoshuai Tao, Jiaxin Song, Xiaolin Bu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2021-04-15T11:32:18Z","title":"On Existence of Truthful Fair Cake Cutting Mechanisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.07387","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:a69dd5e36004f43f20a06474d2c763fb6bb749179d9824a43ea900a042451f0c","target":"record","created_at":"2026-07-05T05:56:12Z","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":"928c4d6e9b1569a7606d5cc29c14efcb62dedc859547e987b5e5358dc2065557","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2021-04-15T11:32:18Z","title_canon_sha256":"4d327598968946f842e2fe91bc661769e9f21a6bd5fb70151c28ab0eae6057f3"},"schema_version":"1.0","source":{"id":"2104.07387","kind":"arxiv","version":3}},"canonical_sha256":"83080a2e01ba90e5fa888ac56f0fd9af5f0fcf0221d6eabb33a3d9d907aed4fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83080a2e01ba90e5fa888ac56f0fd9af5f0fcf0221d6eabb33a3d9d907aed4fe","first_computed_at":"2026-07-05T05:56:12.431402Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:56:12.431402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s67wIZLkErqoz9jbNMOG1DmYDrZPHFDxEnu3ZHa/cQZDQS7F/46BEMovaHwuBxtLMfQXs0DDO8+vfEczlJY6Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:56:12.431761Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.07387","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a69dd5e36004f43f20a06474d2c763fb6bb749179d9824a43ea900a042451f0c","sha256:def2333cb6121835c75db3acecd5a6f4c828c3b05357224fd21ec6e702a898a2"],"state_sha256":"d2b8ed3e544d0e143e5d44cdd2adb9fe29c98c16ed1fd4c8d41257c24910b784"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f0lrTzJUrzntaij34bg4SmwH1qYl5Zf74bONFoHxdVMuecsObLCP1vLluuyRVY/bdvREAYJZHFZsO1epIO/MCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T01:33:54.588533Z","bundle_sha256":"6d49774a58a0497ac2970668fcea8e243f3cae937b366d9163b2cd123005e8ed"}}