Pith Number

pith:LQNQ7HZL

pith:2018:LQNQ7HZLE36BY5RAAWCI2QOUB3

not attested not anchored not stored refs pending

Imaginary multiplicative chaos: Moments, regularity and connections to the Ising model

Christian Webb, Eero Saksman, Janne Junnila

arxiv:1806.02118 v2 · 2018-06-06 · math.PR · math-ph · 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{LQNQ7HZLE36BY5RAAWCI2QOUB3}

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	2026-05-17T23:57:50.600268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c1b0f9f2b26fc1c762005848d41d40ef27f65cea250e67a756796723d378ae1

Aliases

arxiv: 1806.02118 · arxiv_version: 1806.02118v2 · doi: 10.48550/arxiv.1806.02118 · pith_short_12: LQNQ7HZLE36B · pith_short_16: LQNQ7HZLE36BY5RA · pith_short_8: LQNQ7HZL

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/LQNQ7HZLE36BY5RAAWCI2QOUB3 \
  | 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: 5c1b0f9f2b26fc1c762005848d41d40ef27f65cea250e67a756796723d378ae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebac75d08c3d448c132dd1a4ffc50f7cfab934e50a803ee07e2a59f85a2573ca",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-06T11:13:33Z",
    "title_canon_sha256": "4d74fdbb16b71bc8e83659c0b10d4710055911f005c95a32421d2292125a7f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02118",
    "kind": "arxiv",
    "version": 2
  }
}