Pith Number

pith:K3NRNOFD

pith:2020:K3NRNOFDP3FSDYCZDT4RJ7XGHY

not attested not anchored not stored refs pending

Geometry of the Gaussian multiplicative chaos in the Wiener space

Chiranjib Mukherjee, Yannic Br\"oker

arxiv:2008.04290 v6 · 2020-08-10 · 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{K3NRNOFDP3FSDYCZDT4RJ7XGHY}

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	2026-07-05T04:02:13.846846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56db16b8a37ecb21e0591cf914fee63e2241b3d1757fb6202b8a4136f8541632

Aliases

arxiv: 2008.04290 · arxiv_version: 2008.04290v6 · doi: 10.48550/arxiv.2008.04290 · pith_short_12: K3NRNOFDP3FS · pith_short_16: K3NRNOFDP3FSDYCZ · pith_short_8: K3NRNOFD

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/K3NRNOFDP3FSDYCZDT4RJ7XGHY \
  | 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: 56db16b8a37ecb21e0591cf914fee63e2241b3d1757fb6202b8a4136f8541632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76543c03fd0b998538010ed5237a7febe8acfb8b2bc6d29bd4703c9406a8f6f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-08-10T17:42:04Z",
    "title_canon_sha256": "2dcaac44df32d5b1185aaed49508e399e4bdb97d83024c6f10552687ce1ac1dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.04290",
    "kind": "arxiv",
    "version": 6
  }
}