{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:O74HJW3J34AWIGAUDPULDGGFI6","short_pith_number":"pith:O74HJW3J","schema_version":"1.0","canonical_sha256":"77f874db69df016418141be8b198c547ac783a8e46a0515f1160f10a5f8f5c54","source":{"kind":"arxiv","id":"2010.06333","version":3},"attestation_state":"computed","paper":{"title":"Capacitated spatial clustering with multiple constraints and attributes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Jukka Riekki, Lauri Lov\\'en, Leena Ruha, Markku Kuismin, Mikko J. Sillanp\\\"a\\\"a, Teemu Lepp\\\"anen, Tero L\\\"ahderanta","submitted_at":"2020-10-13T12:31:13Z","abstract_excerpt":"Capacitated spatial clustering, a type of unsupervised machine learning method, is often used to tackle problems in compressing, classifying, logistic optimization and infrastructure optimization. Depending on the application at hand, a wide set of extensions may be necessary in clustering.\n  In this article we propose a number of novel extensions to PACK that is a novel capacitated spatial clustering method. These extensions are relocation and location preference of cluster centers, outliers, and non-spatial attributes. The strength of PACK is that it can consider all of these extensions join"},"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":"2010.06333","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2020-10-13T12:31:13Z","cross_cats_sorted":[],"title_canon_sha256":"f3066e3c200ec20e7d5d304c88f7352d7eb64caac55c532cc949a91a2768f06f","abstract_canon_sha256":"1c6fd08378f54050436e7f89cda920327575db4715a499495c01f269f402b826"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:31:19.887241Z","signature_b64":"thZETbcgMKozETMtU61Qcjt/CVF35kyMEPKXl+i6+51XIcHVzRAf/ysyQFXQwLrQosknEzamZ8MSXNh77cbaAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77f874db69df016418141be8b198c547ac783a8e46a0515f1160f10a5f8f5c54","last_reissued_at":"2026-07-05T02:31:19.886768Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:31:19.886768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Capacitated spatial clustering with multiple constraints and attributes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Jukka Riekki, Lauri Lov\\'en, Leena Ruha, Markku Kuismin, Mikko J. Sillanp\\\"a\\\"a, Teemu Lepp\\\"anen, Tero L\\\"ahderanta","submitted_at":"2020-10-13T12:31:13Z","abstract_excerpt":"Capacitated spatial clustering, a type of unsupervised machine learning method, is often used to tackle problems in compressing, classifying, logistic optimization and infrastructure optimization. Depending on the application at hand, a wide set of extensions may be necessary in clustering.\n  In this article we propose a number of novel extensions to PACK that is a novel capacitated spatial clustering method. These extensions are relocation and location preference of cluster centers, outliers, and non-spatial attributes. The strength of PACK is that it can consider all of these extensions join"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.06333","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/2010.06333/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2010.06333","created_at":"2026-07-05T02:31:19.886828+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.06333v3","created_at":"2026-07-05T02:31:19.886828+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.06333","created_at":"2026-07-05T02:31:19.886828+00:00"},{"alias_kind":"pith_short_12","alias_value":"O74HJW3J34AW","created_at":"2026-07-05T02:31:19.886828+00:00"},{"alias_kind":"pith_short_16","alias_value":"O74HJW3J34AWIGAU","created_at":"2026-07-05T02:31:19.886828+00:00"},{"alias_kind":"pith_short_8","alias_value":"O74HJW3J","created_at":"2026-07-05T02:31:19.886828+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/O74HJW3J34AWIGAUDPULDGGFI6","json":"https://pith.science/pith/O74HJW3J34AWIGAUDPULDGGFI6.json","graph_json":"https://pith.science/api/pith-number/O74HJW3J34AWIGAUDPULDGGFI6/graph.json","events_json":"https://pith.science/api/pith-number/O74HJW3J34AWIGAUDPULDGGFI6/events.json","paper":"https://pith.science/paper/O74HJW3J"},"agent_actions":{"view_html":"https://pith.science/pith/O74HJW3J34AWIGAUDPULDGGFI6","download_json":"https://pith.science/pith/O74HJW3J34AWIGAUDPULDGGFI6.json","view_paper":"https://pith.science/paper/O74HJW3J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.06333&json=true","fetch_graph":"https://pith.science/api/pith-number/O74HJW3J34AWIGAUDPULDGGFI6/graph.json","fetch_events":"https://pith.science/api/pith-number/O74HJW3J34AWIGAUDPULDGGFI6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O74HJW3J34AWIGAUDPULDGGFI6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O74HJW3J34AWIGAUDPULDGGFI6/action/storage_attestation","attest_author":"https://pith.science/pith/O74HJW3J34AWIGAUDPULDGGFI6/action/author_attestation","sign_citation":"https://pith.science/pith/O74HJW3J34AWIGAUDPULDGGFI6/action/citation_signature","submit_replication":"https://pith.science/pith/O74HJW3J34AWIGAUDPULDGGFI6/action/replication_record"}},"created_at":"2026-07-05T02:31:19.886828+00:00","updated_at":"2026-07-05T02:31:19.886828+00:00"}