{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GGIHFDM63ODFG6RODLFTR6LVWE","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":"f5ed05801e2a588765e62e37984c61ff10751ed0c8c1506ba40077af5e305342","cross_cats_sorted":["cs.MM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2017-09-12T07:00:18Z","title_canon_sha256":"ca4843e98a4fb89fb6cb11f444ae01d23f55c8383fc64c8eadf851806873dbce"},"schema_version":"1.0","source":{"id":"1709.03708","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.03708","created_at":"2026-05-18T00:35:29Z"},{"alias_kind":"arxiv_version","alias_value":"1709.03708v1","created_at":"2026-05-18T00:35:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03708","created_at":"2026-05-18T00:35:29Z"},{"alias_kind":"pith_short_12","alias_value":"GGIHFDM63ODF","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"GGIHFDM63ODFG6RO","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"GGIHFDM6","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:a32afd348f6814202f08c0e665de14ff7099c5ccccf9896a904be56cee305dd4","target":"graph","created_at":"2026-05-18T00:35:29Z","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":"Data clustering is a fundamental operation in data analysis. For handling large-scale data, the standard k-means clustering method is not only slow, but also memory-inefficient. We propose an efficient clustering method for billion-scale feature vectors, called PQk-means. By first compressing input vectors into short product-quantized (PQ) codes, PQk-means achieves fast and memory-efficient clustering, even for high-dimensional vectors. Similar to k-means, PQk-means repeats the assignment and update steps, both of which can be performed in the PQ-code domain. Experimental results show that eve","authors_text":"Keisuke Ogaki, Kiyoharu Aizawa, Toshihiko Yamasaki, Yusuke Matsui","cross_cats":["cs.MM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2017-09-12T07:00:18Z","title":"PQk-means: Billion-scale Clustering for Product-quantized Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03708","kind":"arxiv","version":1},"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:ddb0647d60f0c70631e7026788863a4f879204233c67e685f803f581d35eed59","target":"record","created_at":"2026-05-18T00:35:29Z","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":"f5ed05801e2a588765e62e37984c61ff10751ed0c8c1506ba40077af5e305342","cross_cats_sorted":["cs.MM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2017-09-12T07:00:18Z","title_canon_sha256":"ca4843e98a4fb89fb6cb11f444ae01d23f55c8383fc64c8eadf851806873dbce"},"schema_version":"1.0","source":{"id":"1709.03708","kind":"arxiv","version":1}},"canonical_sha256":"3190728d9edb86537a2e1acb38f975b11dc708205981329f941e46a048ba0b34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3190728d9edb86537a2e1acb38f975b11dc708205981329f941e46a048ba0b34","first_computed_at":"2026-05-18T00:35:29.726577Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:29.726577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A+2FRrQnTaKv0TSFHnzUxNIGv8WWdykpUh+nnsrl/KUh2dSfGp3sOtkGZ7dYUOKFnx+FQey1WzWI8hS5W0cDAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:29.727294Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.03708","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ddb0647d60f0c70631e7026788863a4f879204233c67e685f803f581d35eed59","sha256:a32afd348f6814202f08c0e665de14ff7099c5ccccf9896a904be56cee305dd4"],"state_sha256":"b5130704d86ee3a833587a7f1305e4d02014244b9b826969716e2d7e73e06338"}