Pith Number

pith:FXWDGK6L

pith:2005:FXWDGK6LPJ4UFKFFJ4377PYKVB

not attested not anchored not stored refs pending

The Arithmetic of Distributions in Free Probability Theory

F. G\"otze, G. Chistyakov

arxiv:math/0508245 v2 · 2005-08-14 · math.OA · 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{FXWDGK6LPJ4UFKFFJ4377PYKVB}

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	2026-05-18T04:39:29.099826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dec332bcb7a7942a8a54f37ffbf0aa879f97fb1d1fbad1436bba4440c3152c9

Aliases

arxiv: math/0508245 · arxiv_version: math/0508245v2 · doi: 10.48550/arxiv.math/0508245 · pith_short_12: FXWDGK6LPJ4U · pith_short_16: FXWDGK6LPJ4UFKFF · pith_short_8: FXWDGK6L

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/FXWDGK6LPJ4UFKFFJ4377PYKVB \
  | 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: 2dec332bcb7a7942a8a54f37ffbf0aa879f97fb1d1fbad1436bba4440c3152c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7735fb08ecb396e711b598b40c146228c7a13d73fd1bca2552f85d1813bb4012",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2005-08-14T19:15:17Z",
    "title_canon_sha256": "732d89e9184f7193013e21cd5ca42cf0ff40a974d878245cc0a55a05af10fcc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508245",
    "kind": "arxiv",
    "version": 2
  }
}