Pith Number

pith:5S7MBQC2

pith:2024:5S7MBQC2USGEBO573ZPZYXADJT

not attested not anchored not stored refs pending

Fourier dimension of Mandelbrot multiplicative cascades

Bing Li, Changhao Chen, Ville Suomala

arxiv:2409.13455 v3 · 2024-09-20 · math.PR · math-ph · math.CA · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5S7MBQC2USGEBO573ZPZYXADJT}

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.

Cited by

1 paper in Pith

Fourier dimension of the graph of fractional Brownian motion with $H \ge 1/2$

Receipt and verification

First computed	2026-07-05T11:06:08.988435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecbec0c05aa48c40bbbfde5f9c5c034cc52c959d543f87d9186f426074729189

Aliases

arxiv: 2409.13455 · arxiv_version: 2409.13455v3 · doi: 10.48550/arxiv.2409.13455 · pith_short_12: 5S7MBQC2USGE · pith_short_16: 5S7MBQC2USGEBO57 · pith_short_8: 5S7MBQC2

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/5S7MBQC2USGEBO573ZPZYXADJT \
  | 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: ecbec0c05aa48c40bbbfde5f9c5c034cc52c959d543f87d9186f426074729189

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "097a0f41af82e3676cbde45dd6ba75b3d3381a1342dbc4cb77682784ed8e21b1",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-09-20T12:37:31Z",
    "title_canon_sha256": "27339ddda372f00cc26fdc7176681af5abf742e001e30a72ad48c05e67cb3531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.13455",
    "kind": "arxiv",
    "version": 3
  }
}