Pith Number

pith:5AQFU6RB

pith:2018:5AQFU6RB572CVWLZR7S3RFHE3I

not attested not anchored not stored refs pending

Multiplicative chaos and the characteristic polynomial of the CUE: the $L^1$-phase

Christian Webb, Eero Saksman, Miika Nikula

arxiv:1806.01831 v1 · 2018-06-05 · 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{5AQFU6RB572CVWLZR7S3RFHE3I}

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	2026-05-18T00:14:11.726238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8205a7a21eff42ad9798fe5b894e4da1a7999f95ffefaad6fc5a29fb4691cdf

Aliases

arxiv: 1806.01831 · arxiv_version: 1806.01831v1 · doi: 10.48550/arxiv.1806.01831 · pith_short_12: 5AQFU6RB572C · pith_short_16: 5AQFU6RB572CVWLZ · pith_short_8: 5AQFU6RB

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/5AQFU6RB572CVWLZR7S3RFHE3I \
  | 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: e8205a7a21eff42ad9798fe5b894e4da1a7999f95ffefaad6fc5a29fb4691cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7a983985c2b3d5bc25a4cf78a6f86a3c6fb9b3e2e459809c7af5fb98e9ca82",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-05T17:39:49Z",
    "title_canon_sha256": "a105d93c611a26b37aa388ba29b5142939cdc109a21615ad1ee9a4cb46005ce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01831",
    "kind": "arxiv",
    "version": 1
  }
}