{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GG4WRN3AOBNPHF4B64IZSSNFCU","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":"81e94fca504af63bcf6f77d895ed98d1715ca2407baed6efdf417f01ca1bf50c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-04-23T07:47:07Z","title_canon_sha256":"7024d233c5be91d5f168e23284d8d5f61c88bff6582508cc75c983f6678d3c97"},"schema_version":"1.0","source":{"id":"2504.16481","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.16481","created_at":"2026-05-20T00:05:28Z"},{"alias_kind":"arxiv_version","alias_value":"2504.16481v4","created_at":"2026-05-20T00:05:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.16481","created_at":"2026-05-20T00:05:28Z"},{"alias_kind":"pith_short_12","alias_value":"GG4WRN3AOBNP","created_at":"2026-05-20T00:05:28Z"},{"alias_kind":"pith_short_16","alias_value":"GG4WRN3AOBNPHF4B","created_at":"2026-05-20T00:05:28Z"},{"alias_kind":"pith_short_8","alias_value":"GG4WRN3A","created_at":"2026-05-20T00:05:28Z"}],"graph_snapshots":[{"event_id":"sha256:696a879650ee7a98c12d64ee4668343724c00effae35105a3a9ff185cde72385","target":"graph","created_at":"2026-05-20T00:05:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2504.16481/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study discounted random walks in directed graphs. In each step, the walk either terminates with a constant probability $\\alpha$, or proceeds to a random out-neighbor. Our goal is to estimate the probability $\\pi(s, t)$ that a discounted random walk starting from $s$ terminates at $t$. This probability is also known as the Personalized PageRank (PPR) score, which measures the relevance of $t$ to $s$, for instance, when $s$ and $t$ are web pages on the Internet. We aim to estimate $\\pi(s, t)$ within a constant relative error with constant probability.\n  A variety of algorithms have been devel","authors_text":"Christian Bertram, Hanzhi Wang, Mads Vestergaard Jensen, Mikkel Thorup, Shuyi Yan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-04-23T07:47:07Z","title":"Estimating Random-Walk Probabilities in Directed Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.16481","kind":"arxiv","version":4},"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":"sha256:6e295a07236581c0d1b6751d947245ba143830e61d5a0d8ca3acb51f124e54f5","target":"record","created_at":"2026-05-20T00:05:28Z","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":"81e94fca504af63bcf6f77d895ed98d1715ca2407baed6efdf417f01ca1bf50c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2025-04-23T07:47:07Z","title_canon_sha256":"7024d233c5be91d5f168e23284d8d5f61c88bff6582508cc75c983f6678d3c97"},"schema_version":"1.0","source":{"id":"2504.16481","kind":"arxiv","version":4}},"canonical_sha256":"31b968b760705af39781f7119949a51529299e130ec9c2fccb8f9d5039b30a86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31b968b760705af39781f7119949a51529299e130ec9c2fccb8f9d5039b30a86","first_computed_at":"2026-05-20T00:05:28.385802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:05:28.385802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Auau1ZyJQmSRPy3yhVqUnxn2frZCR/qButLX89qYlvHYdLQpelS0n5E70LHAHSR/SizUcE/yFD6F5478ak9VCw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:05:28.386626Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.16481","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e295a07236581c0d1b6751d947245ba143830e61d5a0d8ca3acb51f124e54f5","sha256:696a879650ee7a98c12d64ee4668343724c00effae35105a3a9ff185cde72385"],"state_sha256":"27b11e33049dab2c62acb2b8f2bdb5c4e94d14cda2bd9316921895dcf966aba5"}