Pith Number

pith:4JZDZCS7

pith:2019:4JZDZCS7G6IOBIJHG7RXAGJO4Q

not attested not anchored not stored refs pending

Tail universality of critical Gaussian multiplicative chaos

Mo Dick Wong

arxiv:1912.02755 v1 · 2019-12-05 · 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{4JZDZCS7G6IOBIJHG7RXAGJO4Q}

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

Tail Profile of Bulk Gaussian Multiplicative Chaos Measures I: Bulk/Boundary Quotients

Receipt and verification

First computed	2026-07-05T00:24:16.552968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2723c8a5f3790e0a12737e370192ee4340e664cc07972aca81b0eb3d72b645d

Aliases

arxiv: 1912.02755 · arxiv_version: 1912.02755v1 · doi: 10.48550/arxiv.1912.02755 · pith_short_12: 4JZDZCS7G6IO · pith_short_16: 4JZDZCS7G6IOBIJH · pith_short_8: 4JZDZCS7

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/4JZDZCS7G6IOBIJHG7RXAGJO4Q \
  | 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: e2723c8a5f3790e0a12737e370192ee4340e664cc07972aca81b0eb3d72b645d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6934a321836feb88a720d9916ffb49b9a7042411e428493d31d63bddbbe62493",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-12-05T17:47:34Z",
    "title_canon_sha256": "40bd08073d0d23a436a4aa2b47d7041b1c0715ca1a7bc59384c3481d66b3f2ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.02755",
    "kind": "arxiv",
    "version": 1
  }
}