{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EZ6ENLDA6RKK6QOBKIHBEQEBNV","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":"fdc043b978e0cdcbf4c98c3c445ed5c82e4ab61b0d2ac88b3f0b3a6f4d08144f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2015-07-20T07:59:17Z","title_canon_sha256":"022791a3975f816ad0fe5ccd8a4ec80b2b8dcfaef24fe7ad67773f8cae420955"},"schema_version":"1.0","source":{"id":"1507.05409","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.05409","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"arxiv_version","alias_value":"1507.05409v2","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05409","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"pith_short_12","alias_value":"EZ6ENLDA6RKK","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EZ6ENLDA6RKK6QOB","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EZ6ENLDA","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:1a9435e69a3efc1683a9faadb8bb3bc2c1c992aa86360b739e036976c18cec48","target":"graph","created_at":"2026-05-18T01:23:08Z","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":"Several methods have been proposed to estimate the number of clusters in a dataset; the basic ideal behind all of them has been to study an index that measures inter-cluster separation and intra-cluster cohesion over a range of cluster numbers and report the number which gives an optimum value of the index. In this paper we propose a simple, parameter free approach that is like human cognition to form clusters, where closely lying points are easily identified to form a cluster and total number of clusters are revealed. To identify closely lying points, affinity of two points is defined as a fu","authors_text":"Bhaskar Mukhoty, Ruchir Gupta, Y. N. Singh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2015-07-20T07:59:17Z","title":"A Parameter-free Affinity Based Clustering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05409","kind":"arxiv","version":2},"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:dba0afd375c4ea022fff726912bf2450e8759ff9a9b199a1d33b5ad94ab2c974","target":"record","created_at":"2026-05-18T01:23:08Z","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":"fdc043b978e0cdcbf4c98c3c445ed5c82e4ab61b0d2ac88b3f0b3a6f4d08144f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2015-07-20T07:59:17Z","title_canon_sha256":"022791a3975f816ad0fe5ccd8a4ec80b2b8dcfaef24fe7ad67773f8cae420955"},"schema_version":"1.0","source":{"id":"1507.05409","kind":"arxiv","version":2}},"canonical_sha256":"267c46ac60f454af41c1520e1240816d7709c7c5d46bc2f338c23933ce450dd1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"267c46ac60f454af41c1520e1240816d7709c7c5d46bc2f338c23933ce450dd1","first_computed_at":"2026-05-18T01:23:08.313007Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:08.313007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NRXPoDlDHAXcJtbuSWkGHHicqeO7QxBsWYEj45JTe0GBSyfk7+QuR6oQqesWa6WCOhqw9i01q4MXRtZJ0zlvDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:08.313807Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.05409","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dba0afd375c4ea022fff726912bf2450e8759ff9a9b199a1d33b5ad94ab2c974","sha256:1a9435e69a3efc1683a9faadb8bb3bc2c1c992aa86360b739e036976c18cec48"],"state_sha256":"6ca6b6c281ddc8bc2fb5097637f3289336109bef88d6145b17dd8d4f29203225"}