{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2BXQYL2KISFDDJ7HFD3AP5QWJ3","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":"49f73937b184b20aa5ffde640dbd60bf649b58be95b19a62dc375b494404cf59","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-03-21T09:37:16Z","title_canon_sha256":"e947af3189efdcb8b8f1dccf1ef81fadfd1d7e1ae4e7c76175c3b85f9a454d70"},"schema_version":"1.0","source":{"id":"1703.07107","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.07107","created_at":"2026-05-18T00:48:11Z"},{"alias_kind":"arxiv_version","alias_value":"1703.07107v1","created_at":"2026-05-18T00:48:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07107","created_at":"2026-05-18T00:48:11Z"},{"alias_kind":"pith_short_12","alias_value":"2BXQYL2KISFD","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2BXQYL2KISFDDJ7H","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2BXQYL2K","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:37d02140b34d7ba8f8cf7da9fadba01934f418cbfea5e5434c37142a88e40404","target":"graph","created_at":"2026-05-18T00:48:11Z","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":"In this paper we analyze the practical implications of Szemer\\'edi's regularity lemma in the preservation of metric information contained in large graphs. To this end, we present a heuristic algorithm to find regular partitions. Our experiments show that this method is quite robust to the natural sparsification of proximity graphs. In addition, this robustness can be enforced by graph densification.","authors_text":"Alessandro Torcinovich, Francisco Escolano, Manuel Curado, Marcello Pelillo, Marco Fiorucci","cross_cats":["cs.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-03-21T09:37:16Z","title":"On the Interplay between Strong Regularity and Graph Densification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07107","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":"sha256:272cb4b8aa876a87bc7ae4075806765d5775141cf1868bc5a7ee0c1c39f6e505","target":"record","created_at":"2026-05-18T00:48:11Z","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":"49f73937b184b20aa5ffde640dbd60bf649b58be95b19a62dc375b494404cf59","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-03-21T09:37:16Z","title_canon_sha256":"e947af3189efdcb8b8f1dccf1ef81fadfd1d7e1ae4e7c76175c3b85f9a454d70"},"schema_version":"1.0","source":{"id":"1703.07107","kind":"arxiv","version":1}},"canonical_sha256":"d06f0c2f4a448a31a7e728f607f6164ef92785487b9d7249e6aaf1c06510f0db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d06f0c2f4a448a31a7e728f607f6164ef92785487b9d7249e6aaf1c06510f0db","first_computed_at":"2026-05-18T00:48:11.307214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:11.307214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s7Klmn8zrUk1TSx4/LcyHfWcWFhhNCD6kj9W9HU8Y5zoJYbwuNcCptcnNippmfZtFW+TnVjr4wsERhv8qTU9Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:11.307872Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.07107","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:272cb4b8aa876a87bc7ae4075806765d5775141cf1868bc5a7ee0c1c39f6e505","sha256:37d02140b34d7ba8f8cf7da9fadba01934f418cbfea5e5434c37142a88e40404"],"state_sha256":"ab2d4e3e567a304454eed3478a9ca5dd3133a90facb69631b1e958bcef31db00"}