{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5Z2OKA5Y7VFN25AGHB66ADQLSG","short_pith_number":"pith:5Z2OKA5Y","schema_version":"1.0","canonical_sha256":"ee74e503b8fd4add7406387de00e0b91843fb5d32eac558c7b554cd7ea471bc0","source":{"kind":"arxiv","id":"1404.3403","version":3},"attestation_state":"computed","paper":{"title":"From Proximity to Utility: A Voronoi Partition of Pareto Optima","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Benjamin Raichel, Hsien-Chih Chang, Sariel Har-Peled","submitted_at":"2014-04-13T17:30:50Z","abstract_excerpt":"We present an extension of Voronoi diagrams where when considering which site a client is going to use, in addition to the site distances, other site attributes are also considered (for example, prices or weights). A cell in this diagram is then the locus of all clients that consider the same set of sites to be relevant. In particular, the precise site a client might use from this candidate set depends on parameters that might change between usages, and the candidate set lists all of the relevant sites. The resulting diagram is significantly more expressive than Voronoi diagrams, but naturally"},"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":"1404.3403","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-04-13T17:30:50Z","cross_cats_sorted":[],"title_canon_sha256":"e731eaefce8281ecd837da34fafebdb0196ec854b353ef4104f188c8b9d4570c","abstract_canon_sha256":"c03c37d7e0fb9fb5c4252bfb0859494af726dc12ccc83c3ca36c1305c5871bfe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:21.511653Z","signature_b64":"JyVikcHDChz41fyHRo1gE/nPc12D8l7gFR4a0ZsjAh03QQRjCgLbnzENNGRPnNk3pS6Dy0TxpXpPkW+8p019Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee74e503b8fd4add7406387de00e0b91843fb5d32eac558c7b554cd7ea471bc0","last_reissued_at":"2026-05-18T01:08:21.511145Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:21.511145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From Proximity to Utility: A Voronoi Partition of Pareto Optima","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Benjamin Raichel, Hsien-Chih Chang, Sariel Har-Peled","submitted_at":"2014-04-13T17:30:50Z","abstract_excerpt":"We present an extension of Voronoi diagrams where when considering which site a client is going to use, in addition to the site distances, other site attributes are also considered (for example, prices or weights). A cell in this diagram is then the locus of all clients that consider the same set of sites to be relevant. In particular, the precise site a client might use from this candidate set depends on parameters that might change between usages, and the candidate set lists all of the relevant sites. The resulting diagram is significantly more expressive than Voronoi diagrams, but naturally"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3403","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":"1404.3403","created_at":"2026-05-18T01:08:21.511230+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.3403v3","created_at":"2026-05-18T01:08:21.511230+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3403","created_at":"2026-05-18T01:08:21.511230+00:00"},{"alias_kind":"pith_short_12","alias_value":"5Z2OKA5Y7VFN","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"5Z2OKA5Y7VFN25AG","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"5Z2OKA5Y","created_at":"2026-05-18T12:28:16.859392+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/5Z2OKA5Y7VFN25AGHB66ADQLSG","json":"https://pith.science/pith/5Z2OKA5Y7VFN25AGHB66ADQLSG.json","graph_json":"https://pith.science/api/pith-number/5Z2OKA5Y7VFN25AGHB66ADQLSG/graph.json","events_json":"https://pith.science/api/pith-number/5Z2OKA5Y7VFN25AGHB66ADQLSG/events.json","paper":"https://pith.science/paper/5Z2OKA5Y"},"agent_actions":{"view_html":"https://pith.science/pith/5Z2OKA5Y7VFN25AGHB66ADQLSG","download_json":"https://pith.science/pith/5Z2OKA5Y7VFN25AGHB66ADQLSG.json","view_paper":"https://pith.science/paper/5Z2OKA5Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.3403&json=true","fetch_graph":"https://pith.science/api/pith-number/5Z2OKA5Y7VFN25AGHB66ADQLSG/graph.json","fetch_events":"https://pith.science/api/pith-number/5Z2OKA5Y7VFN25AGHB66ADQLSG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5Z2OKA5Y7VFN25AGHB66ADQLSG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5Z2OKA5Y7VFN25AGHB66ADQLSG/action/storage_attestation","attest_author":"https://pith.science/pith/5Z2OKA5Y7VFN25AGHB66ADQLSG/action/author_attestation","sign_citation":"https://pith.science/pith/5Z2OKA5Y7VFN25AGHB66ADQLSG/action/citation_signature","submit_replication":"https://pith.science/pith/5Z2OKA5Y7VFN25AGHB66ADQLSG/action/replication_record"}},"created_at":"2026-05-18T01:08:21.511230+00:00","updated_at":"2026-05-18T01:08:21.511230+00:00"}