Pith Number

pith:U7ZFFWSC

pith:2013:U7ZFFWSCAFAR2EMP7C66XAGJTW

not attested not anchored not stored refs pending

Small deviations in lognormal Mandelbrot cascades

Miika Nikula

arxiv:1306.3448 v1 · 2013-06-14 · 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{U7ZFFWSCAFAR2EMP7C66XAGJTW}

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	2026-05-18T03:20:57.671628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7f252da4201411d118ff8bdeb80c99db8dc6a4beadf685e636f707b215520ee

Aliases

arxiv: 1306.3448 · arxiv_version: 1306.3448v1 · doi: 10.48550/arxiv.1306.3448 · pith_short_12: U7ZFFWSCAFAR · pith_short_16: U7ZFFWSCAFAR2EMP · pith_short_8: U7ZFFWSC

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/U7ZFFWSCAFAR2EMP7C66XAGJTW \
  | 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: a7f252da4201411d118ff8bdeb80c99db8dc6a4beadf685e636f707b215520ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3799101e20791109f1b19afedcf11b2bc3d8e9abbf8308a99acb0cfcafb7407",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-14T16:34:11Z",
    "title_canon_sha256": "4f7420bea2d3c5a09b29c2ee4485ab02a2fd42ba03b014edfe46839d7bfa41bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3448",
    "kind": "arxiv",
    "version": 1
  }
}