Pith Number

pith:Z7EZKTKZ

pith:2015:Z7EZKTKZYIUS6ED3QEKSMPWKVF

not attested not anchored not stored refs pending

A (2+1)-dimensional growth process with explicit stationary measures

Fabio Lucio Toninelli (CNRS, Institut Camille Jordan, Universit\'e Lyon 1)

arxiv:1503.05339 v3 · 2015-03-18 · 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{Z7EZKTKZYIUS6ED3QEKSMPWKVF}

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	2026-05-18T00:34:31.968116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc9954d59c2292f107b8115263ecaa97852d8bd205c4bccd1c72aca476ac3a6

Aliases

arxiv: 1503.05339 · arxiv_version: 1503.05339v3 · doi: 10.48550/arxiv.1503.05339 · pith_short_12: Z7EZKTKZYIUS · pith_short_16: Z7EZKTKZYIUS6ED3 · pith_short_8: Z7EZKTKZ

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/Z7EZKTKZYIUS6ED3QEKSMPWKVF \
  | 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: cfc9954d59c2292f107b8115263ecaa97852d8bd205c4bccd1c72aca476ac3a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da233dfa5f10361a2bf95f342a7cc4486d087e1660694f574dac4d808d2a0321",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-18T11:05:24Z",
    "title_canon_sha256": "ba4ec2ff511423a36f206e1a5783587feae8d0f2c98605c64f215393ed20f7c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05339",
    "kind": "arxiv",
    "version": 3
  }
}