Pith Number

pith:UYPLZNBR

pith:2016:UYPLZNBRRY3KOTNL7HV2JCW3CJ

not attested not anchored not stored refs pending

Local fluctuations of critical Mandelbrot cascades

Dariusz Buraczewski, Konrad Kolesko, Piotr Dyszewski

arxiv:1604.03328 v4 · 2016-04-12 · 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{UYPLZNBRRY3KOTNL7HV2JCW3CJ}

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	2026-05-18T00:15:31.159866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a61ebcb4318e36a74dabf9eba48adb1265e1c8cb936b59eb7a37f9f0638d51ac

Aliases

arxiv: 1604.03328 · arxiv_version: 1604.03328v4 · doi: 10.48550/arxiv.1604.03328 · pith_short_12: UYPLZNBRRY3K · pith_short_16: UYPLZNBRRY3KOTNL · pith_short_8: UYPLZNBR

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/UYPLZNBRRY3KOTNL7HV2JCW3CJ \
  | 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: a61ebcb4318e36a74dabf9eba48adb1265e1c8cb936b59eb7a37f9f0638d51ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aaed460160f5b79a16143e4a571521b08fe7614268292d2fb807b92049c62da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-12T10:17:00Z",
    "title_canon_sha256": "b2bc7004915c880d258c566109115f812f654a16c5aa05d84fd96c661e56a823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03328",
    "kind": "arxiv",
    "version": 4
  }
}