{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2JSKJQ23D5EDHJQCZ5TUB7YIIL","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":"ed95977ba02efa296d2e562ca690cec5c486c508d488b456a7377e0463c6cac5","cross_cats_sorted":["physics.soc-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.SI","submitted_at":"2012-05-26T22:57:01Z","title_canon_sha256":"a56ef525f8087186e4106bc266a429ffaf14d3ce8542a22b8ec665fd4ec7592b"},"schema_version":"1.0","source":{"id":"1205.5925","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5925","created_at":"2026-05-18T02:21:09Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5925v1","created_at":"2026-05-18T02:21:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5925","created_at":"2026-05-18T02:21:09Z"},{"alias_kind":"pith_short_12","alias_value":"2JSKJQ23D5ED","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2JSKJQ23D5EDHJQC","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2JSKJQ23","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:2a47a0821e07109444ba7432091841385a91b79f6d15b440a5a280425a6c7376","target":"graph","created_at":"2026-05-18T02:21:09Z","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":"Consider the following routing problem in the context of a large scale network $G$, with particular interest paid to power law networks, although our results do not assume a particular degree distribution. A small number of nodes want to exchange messages and are looking for short paths on $G$. These nodes do not have access to the topology of $G$ but are allowed to crawl the network within a limited budget. Only crawlers whose sample paths cross are allowed to exchange topological information. In this work we study the use of random walks (RWs) to crawl $G$. We show that the ability of RWs to","authors_text":"Bruno Ribeiro, Don Towsley, Prithwish Basu","cross_cats":["physics.soc-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.SI","submitted_at":"2012-05-26T22:57:01Z","title":"Multiple Random Walks to Uncover Short Paths in Power Law Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5925","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:fe16c19bf3afdf5b93c1b2ec13d8b1b516f04b69ad1c767b5bb3ce01abfaee32","target":"record","created_at":"2026-05-18T02:21:09Z","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":"ed95977ba02efa296d2e562ca690cec5c486c508d488b456a7377e0463c6cac5","cross_cats_sorted":["physics.soc-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.SI","submitted_at":"2012-05-26T22:57:01Z","title_canon_sha256":"a56ef525f8087186e4106bc266a429ffaf14d3ce8542a22b8ec665fd4ec7592b"},"schema_version":"1.0","source":{"id":"1205.5925","kind":"arxiv","version":1}},"canonical_sha256":"d264a4c35b1f4833a602cf6740ff0842d3ef61445d4f54fba0366571ba49667f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d264a4c35b1f4833a602cf6740ff0842d3ef61445d4f54fba0366571ba49667f","first_computed_at":"2026-05-18T02:21:09.372586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:09.372586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QMVlIxweaxznlkLrV0lbQzAgjLjBhZbjoFNngWIu/lJuruKYcgVqnJ8z33wpTi1qxfg8dRElSiYyGW5qgad7Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:09.373038Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.5925","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe16c19bf3afdf5b93c1b2ec13d8b1b516f04b69ad1c767b5bb3ce01abfaee32","sha256:2a47a0821e07109444ba7432091841385a91b79f6d15b440a5a280425a6c7376"],"state_sha256":"38db2ee5ab3765561aacf4346f78d57b78eed2f8d8186ce3cc9d0ec879c76672"}