Pith Number

pith:WZZOBHHF

pith:2014:WZZOBHHFB6OOFCUU2WINW3LAB7

not attested not anchored not stored refs pending

The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos - The $L^2$-phase

Christian Webb

arxiv:1410.0939 v3 · 2014-10-03 · 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{WZZOBHHFB6OOFCUU2WINW3LAB7}

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

Black Holes and Random Variables

Receipt and verification

First computed	2026-05-18T01:31:19.063135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b672e09ce50f9ce28a94d590db6d600ff9c47e3ce7d9d6ee95e69f5ec3361f1c

Aliases

arxiv: 1410.0939 · arxiv_version: 1410.0939v3 · doi: 10.48550/arxiv.1410.0939 · pith_short_12: WZZOBHHFB6OO · pith_short_16: WZZOBHHFB6OOFCUU · pith_short_8: WZZOBHHF

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/WZZOBHHFB6OOFCUU2WINW3LAB7 \
  | 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: b672e09ce50f9ce28a94d590db6d600ff9c47e3ce7d9d6ee95e69f5ec3361f1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37e14041440dfa2b3cec68bb5b08bf414e0f6bbc2c8dee9dcb46b41eed9c2936",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-03T18:51:07Z",
    "title_canon_sha256": "e6ee4b0daee7e65ff12c00f24bc323fa99baf082a8cedfbf70f7029e905a6757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0939",
    "kind": "arxiv",
    "version": 3
  }
}