Pith Number

pith:OPR4B5GV

pith:2002:OPR4B5GV7LZMQVKL32PQS6VJLJ

not attested not anchored not stored refs pending

A Singular Parabolic Anderson Model

Carl Mueller, Roger Tribe

arxiv:math/0204089 v1 · 2002-04-08 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPR4B5GV7LZMQVKL32PQS6VJLJ}

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	2026-05-18T04:28:28.598588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e3c0f4d5faf2c8554bde9f097aa95a4a85ca141b94faca430f4648a8a4a4d3

Aliases

arxiv: math/0204089 · arxiv_version: math/0204089v1 · doi: 10.48550/arxiv.math/0204089 · pith_short_12: OPR4B5GV7LZM · pith_short_16: OPR4B5GV7LZMQVKL · pith_short_8: OPR4B5GV

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/OPR4B5GV7LZMQVKL32PQS6VJLJ \
  | 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: 73e3c0f4d5faf2c8554bde9f097aa95a4a85ca141b94faca430f4648a8a4a4d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb3fc0f7dbd5400c968c564f8a1e6ba49e42ec1472339e9ccd3b4ca30ac7556d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2002-04-08T17:09:09Z",
    "title_canon_sha256": "e82d5716009297d51502450365ed48bef70b9b0a567a2dc4e4766ba85c44607a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204089",
    "kind": "arxiv",
    "version": 1
  }
}