Pith Number

pith:FN3FPEVW

pith:2012:FN3FPEVWQE4DTVRE6ZHE72C74V

not attested not anchored not stored refs pending

Wishart Processes

Oliver Pfaffel

arxiv:1201.3256 v1 · 2012-01-16 · 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{FN3FPEVWQE4DTVRE6ZHE72C74V}

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	2026-05-18T04:04:31.777127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b765792b6813839d624f64e4fe85fe557300b1b264a0bb1d254b6fbdb094c95

Aliases

arxiv: 1201.3256 · arxiv_version: 1201.3256v1 · doi: 10.48550/arxiv.1201.3256 · pith_short_12: FN3FPEVWQE4D · pith_short_16: FN3FPEVWQE4DTVRE · pith_short_8: FN3FPEVW

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/FN3FPEVWQE4DTVRE6ZHE72C74V \
  | 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: 2b765792b6813839d624f64e4fe85fe557300b1b264a0bb1d254b6fbdb094c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bcd008b4604f7b5d9e31c6d3a2f161cd7085a662982ef22a30ee73791b8e87e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-16T13:59:22Z",
    "title_canon_sha256": "7d7827d4ab35c42c9e4636a8783effadac71b78fa4cfbe0f3674a74d143b0dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3256",
    "kind": "arxiv",
    "version": 1
  }
}