Pith Number

pith:C772UZOO

pith:2015:C772UZOOATFL7SPXO43NZNULPX

not attested not anchored not stored refs pending

On the Free Fractional Wishart Process

Jos\'e Luis P\'erez, Juan Carlos Pardo, Victor P\'erez-Abreu

arxiv:1504.05079 v3 · 2015-04-20 · 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{C772UZOOATFL7SPXO43NZNULPX}

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	2026-05-18T01:02:59.472638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17ffaa65ce04cabfc9f77736dcb68b7dd2b56d027fe8417fa57e30a3cbe10dfd

Aliases

arxiv: 1504.05079 · arxiv_version: 1504.05079v3 · doi: 10.48550/arxiv.1504.05079 · pith_short_12: C772UZOOATFL · pith_short_16: C772UZOOATFL7SPX · pith_short_8: C772UZOO

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/C772UZOOATFL7SPXO43NZNULPX \
  | 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: 17ffaa65ce04cabfc9f77736dcb68b7dd2b56d027fe8417fa57e30a3cbe10dfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f93d3c49d25ffba245c58dde96575779a4cb7ec0b28056c5217f2f00128e79c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-20T14:59:49Z",
    "title_canon_sha256": "a3ceeec26d3bcfa8bb592ecdca14ff462c46c1b5f3334960783fac284c9d1570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05079",
    "kind": "arxiv",
    "version": 3
  }
}