Pith Number

pith:NFL6EWVD

pith:2012:NFL6EWVD2665SJM3VIZN7DB6AJ

not attested not anchored not stored refs pending

Products of free random variables and k-divisible partitions

Carlos Vargas, Octavio Arizmendi

arxiv:1201.5825 v2 · 2012-01-27 · 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{NFL6EWVD2665SJM3VIZN7DB6AJ}

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	2026-05-18T04:01:25.625442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6957e25aa3d7bdd9259baa32df8c3e0268ffb577d8ec3ebca616ee32108f71ed

Aliases

arxiv: 1201.5825 · arxiv_version: 1201.5825v2 · doi: 10.48550/arxiv.1201.5825 · pith_short_12: NFL6EWVD2665 · pith_short_16: NFL6EWVD2665SJM3 · pith_short_8: NFL6EWVD

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/NFL6EWVD2665SJM3VIZN7DB6AJ \
  | 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: 6957e25aa3d7bdd9259baa32df8c3e0268ffb577d8ec3ebca616ee32108f71ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0815bd906d22982443999afdfab7e4615e09f16e666e490fa771c00d979b3dce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-01-27T16:37:30Z",
    "title_canon_sha256": "2e3205595233159fc5e66e2c2f460e7b82dd2217e8df451e1b193a1ff50b0ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5825",
    "kind": "arxiv",
    "version": 2
  }
}