Pith Number

pith:GM3GCF2O

pith:2012:GM3GCF2OX7YIFLW4EEND7UYIUH

not attested not anchored not stored refs pending

Type transition of simple random walks on randomly directed regular lattices

Dimitri Petritis, Massimo Campanino

arxiv:1204.5297 v2 · 2012-04-24 · math.PR · 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{GM3GCF2OX7YIFLW4EEND7UYIUH}

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	2026-05-18T03:00:39.931774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333661174ebff082aedc211a3fd308a1e58871c021fb74196b96605ded17b5b2

Aliases

arxiv: 1204.5297 · arxiv_version: 1204.5297v2 · doi: 10.48550/arxiv.1204.5297 · pith_short_12: GM3GCF2OX7YI · pith_short_16: GM3GCF2OX7YIFLW4 · pith_short_8: GM3GCF2O

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/GM3GCF2OX7YIFLW4EEND7UYIUH \
  | 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: 333661174ebff082aedc211a3fd308a1e58871c021fb74196b96605ded17b5b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4802cec4af077c18dbfd031ae13e163988711901451c695a93abbbb20d5ba065",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-24T08:27:33Z",
    "title_canon_sha256": "3227b74f7b88b35383e7602da1ace9974816503a05e57694b098e5576e7782b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5297",
    "kind": "arxiv",
    "version": 2
  }
}