Pith Number

pith:SLKHCQNA

pith:2011:SLKHCQNAK7OARABFRVDNBC4SR2

not attested not anchored not stored refs pending

The explicit Laplace transform for the Wishart process

Alessandro Gnoatto, Martino Grasselli

arxiv:1107.2748 v5 · 2011-07-14 · q-fin.PR · math.PR · q-fin.CP · q-fin.RM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SLKHCQNAK7OARABFRVDNBC4SR2}

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	2026-05-18T03:15:34.667237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92d47141a057dc0880258d46d08b928e952cb18dbfe3105f96649c0de4b04929

Aliases

arxiv: 1107.2748 · arxiv_version: 1107.2748v5 · doi: 10.48550/arxiv.1107.2748 · pith_short_12: SLKHCQNAK7OA · pith_short_16: SLKHCQNAK7OARABF · pith_short_8: SLKHCQNA

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/SLKHCQNAK7OARABFRVDNBC4SR2 \
  | 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: 92d47141a057dc0880258d46d08b928e952cb18dbfe3105f96649c0de4b04929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "562fa7c831c39416e0fc95188cd3808d915d3342ed9b26b5075885500b2a218a",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.CP",
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2011-07-14T07:26:54Z",
    "title_canon_sha256": "6639313432d3336b0fdc48868f6e73e4ac2be1d41af958e73815c59896a02b84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2748",
    "kind": "arxiv",
    "version": 5
  }
}