Pith Number

pith:ZPR2IZEH

pith:2014:ZPR2IZEHIODJORHWTXVG37KGE2

not attested not anchored not stored refs pending

Fermionic Meixner probability distributions, Lie algebras and quadratic Hamiltonians

I.V. Volovich, I.Ya. Aref'eva, L. Accardi

arxiv:1411.4607 v1 · 2014-11-17 · math-ph · math.MP · 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{ZPR2IZEHIODJORHWTXVG37KGE2}

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	2026-05-18T02:34:51.463921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe3a4648743869744f69dea6dfd462696c4128bf2f46176c70661d4574674b7

Aliases

arxiv: 1411.4607 · arxiv_version: 1411.4607v1 · doi: 10.48550/arxiv.1411.4607 · pith_short_12: ZPR2IZEHIODJ · pith_short_16: ZPR2IZEHIODJORHW · pith_short_8: ZPR2IZEH

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/ZPR2IZEHIODJORHWTXVG37KGE2 \
  | 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: cbe3a4648743869744f69dea6dfd462696c4128bf2f46176c70661d4574674b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a232fbcbff50feac47bf564c8fe3def67cd6d95c3b9ecf37d70773ce431112b3",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-17T19:54:53Z",
    "title_canon_sha256": "d03937e60dc2d045d6cebf10a2102d1b417d3082216a8596a02a15935d534918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4607",
    "kind": "arxiv",
    "version": 1
  }
}