Pith Number

pith:AC7XFXFL

pith:2013:AC7XFXFLA5UVJHSBBNEHZ3FKOF

not attested not anchored not stored refs pending

Almost Commutative Probability Theory

John McKay, Roland M. Friedrich

arxiv:1309.6194 v1 · 2013-09-24 · math.PR · math.CO · 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{AC7XFXFLA5UVJHSBBNEHZ3FKOF}

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	2026-05-18T03:12:23.576371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00bf72dcab0769549e410b487cecaa717fb8d03cc16fc050b7c5c4a756285b20

Aliases

arxiv: 1309.6194 · arxiv_version: 1309.6194v1 · doi: 10.48550/arxiv.1309.6194 · pith_short_12: AC7XFXFLA5UV · pith_short_16: AC7XFXFLA5UVJHSB · pith_short_8: AC7XFXFL

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/AC7XFXFLA5UVJHSBBNEHZ3FKOF \
  | 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: 00bf72dcab0769549e410b487cecaa717fb8d03cc16fc050b7c5c4a756285b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0571cf81c427c60267ae37a9f31aaba3093baf6f710ecb4e7d0b96e37bb77a16",
    "cross_cats_sorted": [
      "math.CO",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-24T14:51:45Z",
    "title_canon_sha256": "fb3760338e99871f3bc9e89f37c54bdecda6853b3bdc47c35f1454773cc87b54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6194",
    "kind": "arxiv",
    "version": 1
  }
}