Pith Number

pith:YESIIQ55

pith:2025:YESIIQ55BAE374J4YUQI425R4H

not attested not anchored not stored refs pending

Microcanonical cascades and random homeomorphisms

Xinxin Chen, Yanqi Qiu, Yong Han, Zipeng Wang

arxiv:2505.16405 v2 · 2025-05-22 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YESIIQ55BAE374J4YUQI425R4H}

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

2 papers in Pith

Information from coincidences

Exact Fourier dimensions of dyadic Mandelbrot cascades under minimal integrability

Receipt and verification

First computed	2026-07-05T11:21:46.933391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1248443bd0809bff13cc5208e6bb1e1e3b02deee44c984d77b96a7b8c8b3b27

Aliases

arxiv: 2505.16405 · arxiv_version: 2505.16405v2 · doi: 10.48550/arxiv.2505.16405 · pith_short_12: YESIIQ55BAE3 · pith_short_16: YESIIQ55BAE374J4 · pith_short_8: YESIIQ55

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/YESIIQ55BAE374J4YUQI425R4H \
  | 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: c1248443bd0809bff13cc5208e6bb1e1e3b02deee44c984d77b96a7b8c8b3b27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a420e268a3d1843bd37ad55bc59d740e58bb93c10e001ac6d899dd8de01ef60e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-22T08:57:48Z",
    "title_canon_sha256": "be0df33d204d6a3e5860fc9f4022226584c9db090d7efbef13a62d6ea8d445af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16405",
    "kind": "arxiv",
    "version": 2
  }
}