{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3QA7DDM7WMERN7QEELOBPWH6RC","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":"e1f69e5cf094c5e26783118a08eb8edc4ba1cc0592093e6422be44e5997eab15","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2013-02-19T08:36:18Z","title_canon_sha256":"43f815e8bba126dcfb2d34b1d583146eba61f04130960dde7f525027f2e76310"},"schema_version":"1.0","source":{"id":"1302.4544","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4544","created_at":"2026-05-18T03:33:12Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4544v1","created_at":"2026-05-18T03:33:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4544","created_at":"2026-05-18T03:33:12Z"},{"alias_kind":"pith_short_12","alias_value":"3QA7DDM7WMER","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3QA7DDM7WMERN7QE","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3QA7DDM7","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:905e7427f117795171a3adb7c044f3022002afb5ee24773d6d6956a16ec7d443","target":"graph","created_at":"2026-05-18T03:33:12Z","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":"Performing random walks in networks is a fundamental primitive that has found applications in many areas of computer science, including distributed computing. In this paper, we focus on the problem of sampling random walks efficiently in a distributed network and its applications. Given bandwidth constraints, the goal is to minimize the number of rounds required to obtain random walk samples.\n  All previous algorithms that compute a random walk sample of length $\\ell$ as a subroutine always do so naively, i.e., in $O(\\ell)$ rounds. The main contribution of this paper is a fast distributed algo","authors_text":"Atish Das Sarma, Danupon Nanongkai, Gopal Pandurangan, Prasad Tetali","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2013-02-19T08:36:18Z","title":"Distributed Random Walks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4544","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":"sha256:5caa4b90fd490426cb94e0941dca7d733bf035955cbcfb819b95921bf4594a58","target":"record","created_at":"2026-05-18T03:33:12Z","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":"e1f69e5cf094c5e26783118a08eb8edc4ba1cc0592093e6422be44e5997eab15","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2013-02-19T08:36:18Z","title_canon_sha256":"43f815e8bba126dcfb2d34b1d583146eba61f04130960dde7f525027f2e76310"},"schema_version":"1.0","source":{"id":"1302.4544","kind":"arxiv","version":1}},"canonical_sha256":"dc01f18d9fb30916fe0422dc17d8fe889599b13f2b921b42fe469576032926dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc01f18d9fb30916fe0422dc17d8fe889599b13f2b921b42fe469576032926dd","first_computed_at":"2026-05-18T03:33:12.982267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:12.982267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2SXAsLHr+OvkYokIgXnYdK9xuTCw3KMqVowOcUD1uuCJl64CEtQK9K+SsToFkRL5Nl7DS5uOkHBulogNz0jsCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:12.983034Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4544","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5caa4b90fd490426cb94e0941dca7d733bf035955cbcfb819b95921bf4594a58","sha256:905e7427f117795171a3adb7c044f3022002afb5ee24773d6d6956a16ec7d443"],"state_sha256":"d1245c73ccdad975dfe145749a969ae596c0157f961929c850b7baf69a244eb4"}