Pith Number

pith:FX57WKOA

pith:2013:FX57WKOAEIVKMREGJ5OGF3HB2X

not attested not anchored not stored refs pending

Three-dimensional Brownian motion and the golden ratio rule

Goran Peskir, Hardy Hulley, Kristoffer Glover

arxiv:1303.2891 v1 · 2013-03-12 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FX57WKOAEIVKMREGJ5OGF3HB2X}

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	2026-05-18T03:31:07.687233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dfbfb29c0222aa644864f5c62ece1d5f1b11596bfdefda7bd5192c1fab76403

Aliases

arxiv: 1303.2891 · arxiv_version: 1303.2891v1 · doi: 10.48550/arxiv.1303.2891 · pith_short_12: FX57WKOAEIVK · pith_short_16: FX57WKOAEIVKMREG · pith_short_8: FX57WKOA

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/FX57WKOAEIVKMREGJ5OGF3HB2X \
  | 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: 2dfbfb29c0222aa644864f5c62ece1d5f1b11596bfdefda7bd5192c1fab76403

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8545240256a83e5654a9c5f2ef147d012bfab43161cb669bb062a5773f76c983",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-12T14:20:07Z",
    "title_canon_sha256": "4d3b005238d4b279521cc35dd1383a43d3ce228b40420056b9ae950ea1c6db1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2891",
    "kind": "arxiv",
    "version": 1
  }
}