Pith Number

pith:TH76I477

pith:2012:TH76I477XWICOLKLEHLDSVFORA

not attested not anchored not stored refs pending

Central Limit Theorems for Radial Random Walks on $p\times q$ Matrices for $p\to\infty$

Michael Voit

arxiv:1201.3816 v1 · 2012-01-18 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TH76I477XWICOLKLEHLDSVFORA}

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	2026-05-18T03:52:01.213328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99ffe473ffbd90272d4b21d63954ae883e53bb27f31063512b1edbe9c83b5d00

Aliases

arxiv: 1201.3816 · arxiv_version: 1201.3816v1 · doi: 10.48550/arxiv.1201.3816 · pith_short_12: TH76I477XWIC · pith_short_16: TH76I477XWICOLKL · pith_short_8: TH76I477

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/TH76I477XWICOLKLEHLDSVFORA \
  | 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: 99ffe473ffbd90272d4b21d63954ae883e53bb27f31063512b1edbe9c83b5d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5b5c128bddc344ada6ab2a3122adc45cd53c03aba5903b5c8001bd996d0dce7",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-18T15:09:45Z",
    "title_canon_sha256": "7b55f8bb840f42f8bd5d9d9903b282c1d9f55b374395b35af7a7146eca578110"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3816",
    "kind": "arxiv",
    "version": 1
  }
}