Pith Number

pith:K7BQ37CG

pith:2014:K7BQ37CGS77TEHWZJAN7LYMHHG

not attested not anchored not stored refs pending

Law of Large Numbers for Infinite Random Matrices over a Finite Field

Alexey Bufetov, Leonid Petrov

arxiv:1402.1772 v2 · 2014-02-07 · math.PR · math.CO · math.QA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7BQ37CGS77TEHWZJAN7LYMHHG}

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	2026-05-18T02:24:28.759272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57c30dfc4697ff321ed9481bf5e18739bf895cbec4b8f711f9794c5b34454297

Aliases

arxiv: 1402.1772 · arxiv_version: 1402.1772v2 · doi: 10.48550/arxiv.1402.1772 · pith_short_12: K7BQ37CGS77T · pith_short_16: K7BQ37CGS77TEHWZ · pith_short_8: K7BQ37CG

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/K7BQ37CGS77TEHWZJAN7LYMHHG \
  | 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: 57c30dfc4697ff321ed9481bf5e18739bf895cbec4b8f711f9794c5b34454297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67ee9cbcb585e51f4e2ec59b86e323602c410e56576e2e6b7b973c7a331e252b",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-07T21:18:14Z",
    "title_canon_sha256": "39e7608c7347c2a5af570df7033f43335c4a19d9e873cfa71fc43f6f17a45970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1772",
    "kind": "arxiv",
    "version": 2
  }
}