Pith Number

pith:SGY7DJWG

pith:2026:SGY7DJWGOL6C2F3QMATIV7ZUBD

not attested not anchored not stored refs pending

Fourier Dimensions of Mandelbrot Cascades under Minimal Integrability

Xiang Fang

arxiv:2606.08703 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{SGY7DJWGOL6C2F3QMATIV7ZUBD}

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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.

Cited by

1 paper in Pith

Exact Fourier dimensions of dyadic Mandelbrot cascades under minimal integrability

Receipt and verification

First computed	2026-06-09T01:05:47.851660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91b1f1a6c672fc2d177060268aff3408e71bcf4d13a6d35a39cd3fef62e20776

Aliases

arxiv: 2606.08703 · arxiv_version: 2606.08703v1 · doi: 10.48550/arxiv.2606.08703 · pith_short_12: SGY7DJWGOL6C · pith_short_16: SGY7DJWGOL6C2F3Q · pith_short_8: SGY7DJWG

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/SGY7DJWGOL6C2F3QMATIV7ZUBD \
  | 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: 91b1f1a6c672fc2d177060268aff3408e71bcf4d13a6d35a39cd3fef62e20776

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5304d9c4e44d562b1a0253a274cbb298dd77fddf7eb8039dbd0bf5a808892e0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-07T15:59:39Z",
    "title_canon_sha256": "23a04a234c14cd40193de203f767f86a87201f05eb93b2ff1fcc5e82d2b721ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08703",
    "kind": "arxiv",
    "version": 1
  }
}