Pith Number

pith:35277JKR

pith:2026:35277JKRCXVXH3YIH6CSYWDXBX

not attested not anchored not stored refs pending

Exact Fourier dimensions of dyadic Mandelbrot cascades on curves of nonvanishing curvature under minimal integrability

Hongdou Qu, Xiang Fang, Yin Cai

arxiv:2606.11758 v1 · 2026-06-10 · 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{35277JKRCXVXH3YIH6CSYWDXBX}

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	2026-06-11T01:10:06.432588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df75ffa55115eb73ef083f852c58770de415695ee16b643a3a900c35b634b3f3

Aliases

arxiv: 2606.11758 · arxiv_version: 2606.11758v1 · doi: 10.48550/arxiv.2606.11758 · pith_short_12: 35277JKRCXVX · pith_short_16: 35277JKRCXVXH3YI · pith_short_8: 35277JKR

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/35277JKRCXVXH3YIH6CSYWDXBX \
  | 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: df75ffa55115eb73ef083f852c58770de415695ee16b643a3a900c35b634b3f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29bc4e62db278d435b08391350a3ef33970c68df10bd58cc776bd1df9765b45f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-10T07:32:27Z",
    "title_canon_sha256": "7108a7b16a23baeb13b6c05f5bf0bd26911c9d051cd7e97c124cf2b895c711d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11758",
    "kind": "arxiv",
    "version": 1
  }
}