{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AB3A2FPM6OYA4CH3S7EWCAUZZQ","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":"0d59e8521b14c4e8d890c7782f1524e2dc5f9c5c406d62630878ce384d6b77ee","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-03-10T12:32:48Z","title_canon_sha256":"b98132a864997705891239fa6bafdd4b66cc466ebd1cf0c1712ba34e147ee468"},"schema_version":"1.0","source":{"id":"1403.2226","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2226","created_at":"2026-05-18T02:40:18Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2226v3","created_at":"2026-05-18T02:40:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2226","created_at":"2026-05-18T02:40:18Z"},{"alias_kind":"pith_short_12","alias_value":"AB3A2FPM6OYA","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AB3A2FPM6OYA4CH3","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AB3A2FPM","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:ff51a90e89e00fc390bd9858d0cef8c2d4b3c688444330675bf751d24e3d5e3e","target":"graph","created_at":"2026-05-18T02:40:18Z","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":"Community detection is expensive, and the cost generally depends at least linearly on the number of vertices in the graph. We propose working with a reduced graph that has many fewer nodes but nonetheless captures key community structure. The K-core of a graph is the largest subgraph within which each node has at least K connections. We propose a framework that accelerates community detection by applying an expensive algorithm (modularity optimization, the Louvain method, spectral clustering, etc.) to the K-core and then using an inexpensive heuristic (such as local modularity maximization) to","authors_text":"Ali Pinar, Chengbin Peng, Tamara G. Kolda","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-03-10T12:32:48Z","title":"Accelerating Community Detection by Using K-core Subgraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2226","kind":"arxiv","version":3},"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:f7d7a7e93baf203b78a73d5286ec1dc302c2af59082542d8cb76efbd2f481fb8","target":"record","created_at":"2026-05-18T02:40:18Z","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":"0d59e8521b14c4e8d890c7782f1524e2dc5f9c5c406d62630878ce384d6b77ee","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-03-10T12:32:48Z","title_canon_sha256":"b98132a864997705891239fa6bafdd4b66cc466ebd1cf0c1712ba34e147ee468"},"schema_version":"1.0","source":{"id":"1403.2226","kind":"arxiv","version":3}},"canonical_sha256":"00760d15ecf3b00e08fb97c9610299cc17cd312ff23ac06875b746a32b2d8ee1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00760d15ecf3b00e08fb97c9610299cc17cd312ff23ac06875b746a32b2d8ee1","first_computed_at":"2026-05-18T02:40:18.375786Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:18.375786Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nj0hgHy0rkwyojS+/cOL/ipMWcdXlk1TWcJxL3TwuJqgUM5WRJaMi8AFiswtLkMM+PN6onn24Lk9pFlzl9K+CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:18.376254Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2226","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7d7a7e93baf203b78a73d5286ec1dc302c2af59082542d8cb76efbd2f481fb8","sha256:ff51a90e89e00fc390bd9858d0cef8c2d4b3c688444330675bf751d24e3d5e3e"],"state_sha256":"7d4e89ccd3ae548e1f721f61fcd4ac76d3cdeaf0f2f9673b4f98a0cd1dfab85f"}