Pith Number

pith:GG4WRN3A

pith:2025:GG4WRN3AOBNPHF4B64IZSSNFCU

not attested not anchored not stored refs pending

Estimating Random-Walk Probabilities in Directed Graphs

Christian Bertram, Hanzhi Wang, Mads Vestergaard Jensen, Mikkel Thorup, Shuyi Yan

arxiv:2504.16481 v4 · 2025-04-23 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GG4WRN3AOBNPHF4B64IZSSNFCU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Near-Optimality for Single-Source Personalized PageRank

Instance-Optimality in PageRank Computation

Receipt and verification

First computed	2026-05-20T00:05:28.385802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b968b760705af39781f7119949a51529299e130ec9c2fccb8f9d5039b30a86

Aliases

arxiv: 2504.16481 · arxiv_version: 2504.16481v4 · doi: 10.48550/arxiv.2504.16481 · pith_short_12: GG4WRN3AOBNP · pith_short_16: GG4WRN3AOBNPHF4B · pith_short_8: GG4WRN3A

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GG4WRN3AOBNPHF4B64IZSSNFCU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 31b968b760705af39781f7119949a51529299e130ec9c2fccb8f9d5039b30a86

Canonical record JSON

{
  "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
  }
}