{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:L4PU2AFAP4T7R57KIJLJFRLSMX","short_pith_number":"pith:L4PU2AFA","canonical_record":{"source":{"id":"1703.08928","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-03-27T04:46:58Z","cross_cats_sorted":[],"title_canon_sha256":"a39e0f39880870b237f693251c00b01a376678d64961c3938c22f040b4b241e4","abstract_canon_sha256":"24426a027708e3ac9bb033bb1bd5f986cd3cb93351809fc2d02092e0e5e13b8f"},"schema_version":"1.0"},"canonical_sha256":"5f1f4d00a07f27f8f7ea425692c57265c9797758c6e31c6c95cb0382dc4b5ab2","source":{"kind":"arxiv","id":"1703.08928","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.08928","created_at":"2026-05-18T00:43:13Z"},{"alias_kind":"arxiv_version","alias_value":"1703.08928v3","created_at":"2026-05-18T00:43:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08928","created_at":"2026-05-18T00:43:13Z"},{"alias_kind":"pith_short_12","alias_value":"L4PU2AFAP4T7","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L4PU2AFAP4T7R57K","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L4PU2AFA","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:L4PU2AFAP4T7R57KIJLJFRLSMX","target":"record","payload":{"canonical_record":{"source":{"id":"1703.08928","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-03-27T04:46:58Z","cross_cats_sorted":[],"title_canon_sha256":"a39e0f39880870b237f693251c00b01a376678d64961c3938c22f040b4b241e4","abstract_canon_sha256":"24426a027708e3ac9bb033bb1bd5f986cd3cb93351809fc2d02092e0e5e13b8f"},"schema_version":"1.0"},"canonical_sha256":"5f1f4d00a07f27f8f7ea425692c57265c9797758c6e31c6c95cb0382dc4b5ab2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:13.019290Z","signature_b64":"nbLdXo9uEqAh8S1GIEuRhUPhZiZ29NI9JkzU5u/762X0oaUdrqGgVyaecAblKtpG+W9ofsLyJf43XbFV1tcBCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f1f4d00a07f27f8f7ea425692c57265c9797758c6e31c6c95cb0382dc4b5ab2","last_reissued_at":"2026-05-18T00:43:13.018604Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:13.018604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.08928","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":"2026-05-18T00:43:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YY5OmzuPsCX1xAbtXzX7WDm+/fa5nDyzreet011coD/HjSnB0vf7deHU8pI8wcIfpIuIpMn3wUR6OPaLvUm3CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:30:48.857225Z"},"content_sha256":"aae3e4f5115f60f77c9c063a6ea84d458c1c9d8b5eb2bfff913e06ee1edec513","schema_version":"1.0","event_id":"sha256:aae3e4f5115f60f77c9c063a6ea84d458c1c9d8b5eb2bfff913e06ee1edec513"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:L4PU2AFAP4T7R57KIJLJFRLSMX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resource-monotonicity and Population-monotonicity in Connected Cake-cutting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Bal\\'azs Sziklai, Erel Segal-Halevi","submitted_at":"2017-03-27T04:46:58Z","abstract_excerpt":"In the classic cake-cutting problem (Steinhaus, 1948), a heterogeneous resource has to be divided among n agents with different valuations in a proportional way --- giving each agent a piece with a value of at least 1/n of the total. In many applications, such as dividing a land-estate or a time-interval, it is also important that the pieces are connected. We propose two additional requirements: resource-monotonicity (RM) and population-monotonicity (PM). When either the cake or the set of agents changes and the cake is re-divided using the same rule, the utility of all remaining agents must c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08928","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":""},"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":"2026-05-18T00:43:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NgXtROn/P87g5tLHWiZ2pEtOLQPjIbNFiDWP0+USkLoj8erKYKSU9g7OaHWWfwLginRaAnA5Z8xcf3ranCqrDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:30:48.857585Z"},"content_sha256":"22cebc52d382d34b54aaa23d1f1089793f0ba328818d4a96010b71e8bb58e880","schema_version":"1.0","event_id":"sha256:22cebc52d382d34b54aaa23d1f1089793f0ba328818d4a96010b71e8bb58e880"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX/bundle.json","state_url":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L4PU2AFAP4T7R57KIJLJFRLSMX/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":"2026-06-03T17:30:48Z","links":{"resolver":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX","bundle":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX/bundle.json","state":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L4PU2AFAP4T7R57KIJLJFRLSMX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:L4PU2AFAP4T7R57KIJLJFRLSMX","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":"24426a027708e3ac9bb033bb1bd5f986cd3cb93351809fc2d02092e0e5e13b8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-03-27T04:46:58Z","title_canon_sha256":"a39e0f39880870b237f693251c00b01a376678d64961c3938c22f040b4b241e4"},"schema_version":"1.0","source":{"id":"1703.08928","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.08928","created_at":"2026-05-18T00:43:13Z"},{"alias_kind":"arxiv_version","alias_value":"1703.08928v3","created_at":"2026-05-18T00:43:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08928","created_at":"2026-05-18T00:43:13Z"},{"alias_kind":"pith_short_12","alias_value":"L4PU2AFAP4T7","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L4PU2AFAP4T7R57K","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L4PU2AFA","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:22cebc52d382d34b54aaa23d1f1089793f0ba328818d4a96010b71e8bb58e880","target":"graph","created_at":"2026-05-18T00:43:13Z","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"},"paper":{"abstract_excerpt":"In the classic cake-cutting problem (Steinhaus, 1948), a heterogeneous resource has to be divided among n agents with different valuations in a proportional way --- giving each agent a piece with a value of at least 1/n of the total. In many applications, such as dividing a land-estate or a time-interval, it is also important that the pieces are connected. We propose two additional requirements: resource-monotonicity (RM) and population-monotonicity (PM). When either the cake or the set of agents changes and the cake is re-divided using the same rule, the utility of all remaining agents must c","authors_text":"Bal\\'azs Sziklai, Erel Segal-Halevi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-03-27T04:46:58Z","title":"Resource-monotonicity and Population-monotonicity in Connected Cake-cutting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08928","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:aae3e4f5115f60f77c9c063a6ea84d458c1c9d8b5eb2bfff913e06ee1edec513","target":"record","created_at":"2026-05-18T00:43:13Z","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":"24426a027708e3ac9bb033bb1bd5f986cd3cb93351809fc2d02092e0e5e13b8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-03-27T04:46:58Z","title_canon_sha256":"a39e0f39880870b237f693251c00b01a376678d64961c3938c22f040b4b241e4"},"schema_version":"1.0","source":{"id":"1703.08928","kind":"arxiv","version":3}},"canonical_sha256":"5f1f4d00a07f27f8f7ea425692c57265c9797758c6e31c6c95cb0382dc4b5ab2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f1f4d00a07f27f8f7ea425692c57265c9797758c6e31c6c95cb0382dc4b5ab2","first_computed_at":"2026-05-18T00:43:13.018604Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:13.018604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nbLdXo9uEqAh8S1GIEuRhUPhZiZ29NI9JkzU5u/762X0oaUdrqGgVyaecAblKtpG+W9ofsLyJf43XbFV1tcBCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:13.019290Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.08928","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aae3e4f5115f60f77c9c063a6ea84d458c1c9d8b5eb2bfff913e06ee1edec513","sha256:22cebc52d382d34b54aaa23d1f1089793f0ba328818d4a96010b71e8bb58e880"],"state_sha256":"6bbbba22e2241bdec8be918b6ce83a65ed6ff5b45400001de9e45857a127ba4c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XbY9TZNLTTckrB81xs4rkuEdPmMbCTUsiDLe9xTzQ+R/mCzrKe3KtqvTKEwVdVCOKrMJOaOmv4xDa4+g2IRTAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T17:30:48.859467Z","bundle_sha256":"220f6bcca90d255966e0f15cbd06e80fb9f717cf50f239dd680fdf9f5ffc432d"}}