Pith Number

pith:Z635I7XP

pith:2016:Z635I7XPRDX3LQMOQ6TAFTRL6H

not attested not anchored not stored refs pending

Sixty Years of Moments for Random Matrices

Thomas Kriecherbauer, Werner Kirsch

arxiv:1612.06725 v1 · 2016-12-20 · math-ph · math.MP · 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{Z635I7XPRDX3LQMOQ6TAFTRL6H}

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	2026-05-18T00:54:21.580142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfb7d47eef88efb5c18e87a602ce2bf1d12d64e7ff3ddb526b6e13b3b306a7f6

Aliases

arxiv: 1612.06725 · arxiv_version: 1612.06725v1 · doi: 10.48550/arxiv.1612.06725 · pith_short_12: Z635I7XPRDX3 · pith_short_16: Z635I7XPRDX3LQMO · pith_short_8: Z635I7XP

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/Z635I7XPRDX3LQMOQ6TAFTRL6H \
  | 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: cfb7d47eef88efb5c18e87a602ce2bf1d12d64e7ff3ddb526b6e13b3b306a7f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4c17084ae7f1731836b907e081f193b7276122bc770043fe16e5d19dca9dfac",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-20T16:06:49Z",
    "title_canon_sha256": "7564312621b621e5a37acce61e1ad29ac3546d6ed18a977398b05b1e3f76b13e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06725",
    "kind": "arxiv",
    "version": 1
  }
}