{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DRPGOA7QDOWBXKGMRP22PAZ32O","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":"d89b21e3a6b10e5f5917b5e5d8f251d0da7b97b3bd57acfe4a2f6582bbb29b73","cross_cats_sorted":["cs.IR","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-04-07T17:57:33Z","title_canon_sha256":"5409b8524e39bc4fb24a4c1d15854432172fc6f42d818bb1b9ede2c4eb5c19ed"},"schema_version":"1.0","source":{"id":"1404.1864","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1864","created_at":"2026-05-18T00:08:58Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1864v3","created_at":"2026-05-18T00:08:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1864","created_at":"2026-05-18T00:08:58Z"},{"alias_kind":"pith_short_12","alias_value":"DRPGOA7QDOWB","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DRPGOA7QDOWBXKGM","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DRPGOA7Q","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:3ae96994aee487815ce6bcbb52aac591cbf1c62f52ec9316649b9c8dd2586646","target":"graph","created_at":"2026-05-18T00:08:58Z","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":"We study the complexity of local graph centrality estimation, with the goal of approximating the centrality score of a given target node while exploring only a sublinear number of nodes/arcs of the graph and performing a sublinear number of elementary operations. We develop a technique, that we apply to the PageRank and Heat Kernel centralities, for building a low-variance score estimator through a local exploration of the graph. We obtain an algorithm that, given any node in any graph of $m$ arcs, with probability $(1-\\delta)$ computes a multiplicative $(1\\pm\\epsilon)$-approximation of its sc","authors_text":"Enoch Peserico, Luca Pretto, Marco Bressan","cross_cats":["cs.IR","cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-04-07T17:57:33Z","title":"Sublinear algorithms for local graph centrality estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1864","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:b72b71f6e4035b69b7c873f5bf76593aabac07abb8ff717e23df772149800616","target":"record","created_at":"2026-05-18T00:08:58Z","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":"d89b21e3a6b10e5f5917b5e5d8f251d0da7b97b3bd57acfe4a2f6582bbb29b73","cross_cats_sorted":["cs.IR","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-04-07T17:57:33Z","title_canon_sha256":"5409b8524e39bc4fb24a4c1d15854432172fc6f42d818bb1b9ede2c4eb5c19ed"},"schema_version":"1.0","source":{"id":"1404.1864","kind":"arxiv","version":3}},"canonical_sha256":"1c5e6703f01bac1ba8cc8bf5a7833bd388d681aa186c79a4684172fe4dedcd22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c5e6703f01bac1ba8cc8bf5a7833bd388d681aa186c79a4684172fe4dedcd22","first_computed_at":"2026-05-18T00:08:58.291364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:58.291364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DlJisbdLpJBmFzT1UMl5ZwfHewFVL+6oA2KZkG9YBzYohle6dRvESFbVO4eUr4E7QLDpO4ZTLGn4WUieI6/0Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:58.291996Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.1864","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b72b71f6e4035b69b7c873f5bf76593aabac07abb8ff717e23df772149800616","sha256:3ae96994aee487815ce6bcbb52aac591cbf1c62f52ec9316649b9c8dd2586646"],"state_sha256":"f702ae610a13fe4d364e62299c3aaf73fe2017eb63776356558c78b506638f5b"}