Pith Number

pith:HDPDTNTT

pith:2026:HDPDTNTTEOT7BJYZI55HUWG37O

not attested not anchored not stored refs pending

Exact Fourier dimensions of dyadic Mandelbrot cascades under minimal integrability

Chengbo Xiao, Guozheng Cheng, Hongdou Qu, Menghan Li, Xiang Fang, Yin Cai

arxiv:2606.08683 v1 · 2026-06-07 · 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{HDPDTNTTEOT7BJYZI55HUWG37O}

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	2026-06-09T01:05:47.361937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38de39b67323a7f0a719477a7a58dbfb859f8ccb71dee0f5012b27b0a706ff5e

Aliases

arxiv: 2606.08683 · arxiv_version: 2606.08683v1 · doi: 10.48550/arxiv.2606.08683 · pith_short_12: HDPDTNTTEOT7 · pith_short_16: HDPDTNTTEOT7BJYZ · pith_short_8: HDPDTNTT

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/HDPDTNTTEOT7BJYZI55HUWG37O \
  | 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: 38de39b67323a7f0a719477a7a58dbfb859f8ccb71dee0f5012b27b0a706ff5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3175c234df58c843b5e627d954d8fc82349b58650ca24c1559278c2a601beae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-07T15:35:06Z",
    "title_canon_sha256": "5502923ff7a149b927de0a819ec51b40e93bda3a99628b894201d95843c0cd89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08683",
    "kind": "arxiv",
    "version": 1
  }
}