{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:EDNXWROQJWFYTFMSQONZMJ4HGW","short_pith_number":"pith:EDNXWROQ","schema_version":"1.0","canonical_sha256":"20db7b45d04d8b899592839b96278735aadf158e2b3c0ef196fcdb632b8029ee","source":{"kind":"arxiv","id":"2401.05831","version":3},"attestation_state":"computed","paper":{"title":"Revisiting Silhouette Aggregation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Aristidis Likas, Georgios Vardakas, John Pavlopoulos","submitted_at":"2024-01-11T10:57:29Z","abstract_excerpt":"Silhouette coefficient is an established internal clustering evaluation measure that produces a score per data point, assessing the quality of its clustering assignment. To assess the quality of the clustering of the whole dataset, the scores of all the points in the dataset are typically (micro) averaged into a single value. An alternative path, however, that is rarely employed, is to average first at the cluster level and then (macro) average across clusters. As we illustrate in this work with a synthetic example, the typical micro-averaging strategy is sensitive to cluster imbalance while t"},"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":"2401.05831","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-01-11T10:57:29Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"05aee1f32df77def04180eb8928985e97b936b3c419c055581b773c84c2a3bc3","abstract_canon_sha256":"8e320219f374493202c49b37e486ebe06f19d25e0a23406fcedefc145afc315c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:35:40.657871Z","signature_b64":"adwZeZFUBK+2o1lJ+vPoH0uJs/AYfcvMZMQGH/JLpnXgiPcGEsJUsoGbpjtozmW7ptb/IsR7dK55USFXKMN/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20db7b45d04d8b899592839b96278735aadf158e2b3c0ef196fcdb632b8029ee","last_reissued_at":"2026-07-05T08:35:40.657477Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:35:40.657477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Revisiting Silhouette Aggregation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Aristidis Likas, Georgios Vardakas, John Pavlopoulos","submitted_at":"2024-01-11T10:57:29Z","abstract_excerpt":"Silhouette coefficient is an established internal clustering evaluation measure that produces a score per data point, assessing the quality of its clustering assignment. To assess the quality of the clustering of the whole dataset, the scores of all the points in the dataset are typically (micro) averaged into a single value. An alternative path, however, that is rarely employed, is to average first at the cluster level and then (macro) average across clusters. As we illustrate in this work with a synthetic example, the typical micro-averaging strategy is sensitive to cluster imbalance while t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.05831","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/2401.05831/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":"2401.05831","created_at":"2026-07-05T08:35:40.657535+00:00"},{"alias_kind":"arxiv_version","alias_value":"2401.05831v3","created_at":"2026-07-05T08:35:40.657535+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.05831","created_at":"2026-07-05T08:35:40.657535+00:00"},{"alias_kind":"pith_short_12","alias_value":"EDNXWROQJWFY","created_at":"2026-07-05T08:35:40.657535+00:00"},{"alias_kind":"pith_short_16","alias_value":"EDNXWROQJWFYTFMS","created_at":"2026-07-05T08:35:40.657535+00:00"},{"alias_kind":"pith_short_8","alias_value":"EDNXWROQ","created_at":"2026-07-05T08:35:40.657535+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/EDNXWROQJWFYTFMSQONZMJ4HGW","json":"https://pith.science/pith/EDNXWROQJWFYTFMSQONZMJ4HGW.json","graph_json":"https://pith.science/api/pith-number/EDNXWROQJWFYTFMSQONZMJ4HGW/graph.json","events_json":"https://pith.science/api/pith-number/EDNXWROQJWFYTFMSQONZMJ4HGW/events.json","paper":"https://pith.science/paper/EDNXWROQ"},"agent_actions":{"view_html":"https://pith.science/pith/EDNXWROQJWFYTFMSQONZMJ4HGW","download_json":"https://pith.science/pith/EDNXWROQJWFYTFMSQONZMJ4HGW.json","view_paper":"https://pith.science/paper/EDNXWROQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2401.05831&json=true","fetch_graph":"https://pith.science/api/pith-number/EDNXWROQJWFYTFMSQONZMJ4HGW/graph.json","fetch_events":"https://pith.science/api/pith-number/EDNXWROQJWFYTFMSQONZMJ4HGW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EDNXWROQJWFYTFMSQONZMJ4HGW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EDNXWROQJWFYTFMSQONZMJ4HGW/action/storage_attestation","attest_author":"https://pith.science/pith/EDNXWROQJWFYTFMSQONZMJ4HGW/action/author_attestation","sign_citation":"https://pith.science/pith/EDNXWROQJWFYTFMSQONZMJ4HGW/action/citation_signature","submit_replication":"https://pith.science/pith/EDNXWROQJWFYTFMSQONZMJ4HGW/action/replication_record"}},"created_at":"2026-07-05T08:35:40.657535+00:00","updated_at":"2026-07-05T08:35:40.657535+00:00"}