Pith Number

pith:GPFHVGTF

pith:2012:GPFHVGTFZWKFT53MDY2TT4ECTY

not attested not anchored not stored refs pending

An approach to anomalous diffusion in the n-dimensional space generated by a self-similar Laplacian

Andrzej F. Nowakowski, Franck C. G. A. Nicolleau, G\'erard Maugin (IJLRA), Mujibur Rahman, Thomas Michelitsch (IJLRA)

arxiv:1207.7132 v2 · 2012-07-30 · physics.class-ph · math-ph · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPFHVGTFZWKFT53MDY2TT4ECTY}

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	2026-05-18T03:39:52.786471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ca7a9a65cd9459f76c1e3539f0829e08da064bcd4b7f08bd01b75116efc22f

Aliases

arxiv: 1207.7132 · arxiv_version: 1207.7132v2 · doi: 10.48550/arxiv.1207.7132 · pith_short_12: GPFHVGTFZWKF · pith_short_16: GPFHVGTFZWKFT53M · pith_short_8: GPFHVGTF

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/GPFHVGTFZWKFT53MDY2TT4ECTY \
  | 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: 33ca7a9a65cd9459f76c1e3539f0829e08da064bcd4b7f08bd01b75116efc22f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ffc81fac8e19aed385b4ce44ad99c9abe3ee77da5dec319632df4eb766ea4b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2012-07-30T23:38:10Z",
    "title_canon_sha256": "da9a754be9052d7bd8a3bd73c1c86c56f35f30804cdc5958195b98b99e15347d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7132",
    "kind": "arxiv",
    "version": 2
  }
}