Pith Number

pith:WQOTIPAC

pith:2004:WQOTIPACDPEE3XXCQJYA5GA2DI

not attested not anchored not stored refs pending

Generating Functions of Random Walks on Graphs

Robert Schrader, Vadim Kostrykin

arxiv:math/0404467 v1 · 2004-04-26 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQOTIPACDPEE3XXCQJYA5GA2DI}

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	2026-07-04T14:38:33.821453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b41d343c021bc84ddee282700e981a1a23163fe002dbdc097a6681d2386490ff

Aliases

arxiv: math/0404467 · arxiv_version: math/0404467v1 · doi: 10.48550/arxiv.math/0404467 · pith_short_12: WQOTIPACDPEE · pith_short_16: WQOTIPACDPEE3XXC · pith_short_8: WQOTIPAC

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/WQOTIPACDPEE3XXCQJYA5GA2DI \
  | 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: b41d343c021bc84ddee282700e981a1a23163fe002dbdc097a6681d2386490ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d11a2784d36d8765c36196a7a72e7799083c59952e79e1ec11d6976d8a9394d3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-04-26T19:14:46Z",
    "title_canon_sha256": "d7add673d30a35b302b30390ae1f7632ede25e84739f91ffbe1198916f589d43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404467",
    "kind": "arxiv",
    "version": 1
  }
}