Pith Number

pith:LUV26UMA

pith:2008:LUV26UMANTS3RJVUZGUEFA222Z

not attested not anchored not stored refs pending

A permutation model for free random variables and its classical analogue

Florent Benaych-Georges (PMA), Ion Nechita (ICJ)

arxiv:0801.4229 v3 · 2008-01-28 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUV26UMANTS3RJVUZGUEFA222Z}

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	2026-05-18T02:27:29.853489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d2baf51806ce5b8a6b4c9a842835ad6533c8c6da6a0eda59796359dfbeb92ea

Aliases

arxiv: 0801.4229 · arxiv_version: 0801.4229v3 · doi: 10.48550/arxiv.0801.4229 · pith_short_12: LUV26UMANTS3 · pith_short_16: LUV26UMANTS3RJVU · pith_short_8: LUV26UMA

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/LUV26UMANTS3RJVUZGUEFA222Z \
  | 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: 5d2baf51806ce5b8a6b4c9a842835ad6533c8c6da6a0eda59796359dfbeb92ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75714fd06b9a2ef00240bb05b5174fdca63a94eeb1ee1ad3b643f516b643d0cf",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-01-28T10:19:46Z",
    "title_canon_sha256": "fbb57c6967b55a2b8991cd165ec46c486ca322d7b714caa32bcac3c38a019575"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.4229",
    "kind": "arxiv",
    "version": 3
  }
}