Pith Number

pith:MCLVFCLZ

pith:2009:MCLVFCLZXQKJRYZDQEV2SALU4C

not attested not anchored not stored refs pending

First passage percolation on random graphs with finite mean degrees

Gerard Hooghiemstra, Remco van der Hofstad, Shankar Bhamidi

arxiv:0903.5136 v3 · 2009-03-30 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCLVFCLZXQKJRYZDQEV2SALU4C}

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.

Receipt and verification

First computed	2026-05-18T04:36:49.389780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6097528979bc1498e323812ba90174e093188319f55d8862173522ab7c35fadb

Aliases

arxiv: 0903.5136 · arxiv_version: 0903.5136v3 · doi: 10.48550/arxiv.0903.5136 · pith_short_12: MCLVFCLZXQKJ · pith_short_16: MCLVFCLZXQKJRYZD · pith_short_8: MCLVFCLZ

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/MCLVFCLZXQKJRYZDQEV2SALU4C \
  | 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: 6097528979bc1498e323812ba90174e093188319f55d8862173522ab7c35fadb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e32a1e4fd863e9a97fc742f203298bdfa44fd4104261460257a55c59a8e014d2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-03-30T07:06:50Z",
    "title_canon_sha256": "a7036829e9d5891d78f3eeca639f768cab88d6abd34cceac16fe073d17a9b797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5136",
    "kind": "arxiv",
    "version": 3
  }
}