Pith Number

pith:EZPKRF4W

pith:2025:EZPKRF4WZTLN3OKOYQJ33J45WD

not attested not anchored not stored refs pending

Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus

Yanqi Qiu, Yukun Chen, Zhaofeng Lin

arxiv:2507.23494 v1 · 2025-07-31 · math.PR · math-ph · math.FA · 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{EZPKRF4WZTLN3OKOYQJ33J45WD}

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	2026-07-05T11:46:25.341961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

265ea89796ccd6ddb94ec413bda79db0d826c159473d02de0e00b717843216e0

Aliases

arxiv: 2507.23494 · arxiv_version: 2507.23494v1 · doi: 10.48550/arxiv.2507.23494 · pith_short_12: EZPKRF4WZTLN · pith_short_16: EZPKRF4WZTLN3OKO · pith_short_8: EZPKRF4W

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/EZPKRF4WZTLN3OKOYQJ33J45WD \
  | 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: 265ea89796ccd6ddb94ec413bda79db0d826c159473d02de0e00b717843216e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82339d8f1e5ef1b0feee7d0a8af6627760bf549e9fe203ee51082de168cee2f5",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-31T12:28:43Z",
    "title_canon_sha256": "754d42ce78c603d83cad6ba3bf57d7bc431b2151b555abc874ca246052c32628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23494",
    "kind": "arxiv",
    "version": 1
  }
}