{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:L4PU2AFAP4T7R57KIJLJFRLSMX","short_pith_number":"pith:L4PU2AFA","schema_version":"1.0","canonical_sha256":"5f1f4d00a07f27f8f7ea425692c57265c9797758c6e31c6c95cb0382dc4b5ab2","source":{"kind":"arxiv","id":"1703.08928","version":3},"attestation_state":"computed","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"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"},"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"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1703.08928","created_at":"2026-05-18T00:43:13.018710+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.08928v3","created_at":"2026-05-18T00:43:13.018710+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08928","created_at":"2026-05-18T00:43:13.018710+00:00"},{"alias_kind":"pith_short_12","alias_value":"L4PU2AFAP4T7","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"L4PU2AFAP4T7R57K","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"L4PU2AFA","created_at":"2026-05-18T12:31:28.150371+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX","json":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX.json","graph_json":"https://pith.science/api/pith-number/L4PU2AFAP4T7R57KIJLJFRLSMX/graph.json","events_json":"https://pith.science/api/pith-number/L4PU2AFAP4T7R57KIJLJFRLSMX/events.json","paper":"https://pith.science/paper/L4PU2AFA"},"agent_actions":{"view_html":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX","download_json":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX.json","view_paper":"https://pith.science/paper/L4PU2AFA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.08928&json=true","fetch_graph":"https://pith.science/api/pith-number/L4PU2AFAP4T7R57KIJLJFRLSMX/graph.json","fetch_events":"https://pith.science/api/pith-number/L4PU2AFAP4T7R57KIJLJFRLSMX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX/action/storage_attestation","attest_author":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX/action/author_attestation","sign_citation":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX/action/citation_signature","submit_replication":"https://pith.science/pith/L4PU2AFAP4T7R57KIJLJFRLSMX/action/replication_record"}},"created_at":"2026-05-18T00:43:13.018710+00:00","updated_at":"2026-05-18T00:43:13.018710+00:00"}