Pith Number

pith:4RWASMHA

pith:2011:4RWASMHAUE3OK2VG7D4ASCGLNL

not attested not anchored not stored refs pending

General Theory of Geometric L\'evy Models for Dynamic Asset Pricing

Dorje C. Brody, Ewan Mackie, Lane P. Hughston

arxiv:1111.2169 v2 · 2011-11-09 · q-fin.PR · 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{4RWASMHAUE3OK2VG7D4ASCGLNL}

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	2026-05-18T03:46:18.523488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e46c0930e0a136e56aa6f8f80908cb6afd5a340bc3fd1c895b5168c852602ff5

Aliases

arxiv: 1111.2169 · arxiv_version: 1111.2169v2 · doi: 10.48550/arxiv.1111.2169 · pith_short_12: 4RWASMHAUE3O · pith_short_16: 4RWASMHAUE3OK2VG · pith_short_8: 4RWASMHA

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/4RWASMHAUE3OK2VG7D4ASCGLNL \
  | 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: e46c0930e0a136e56aa6f8f80908cb6afd5a340bc3fd1c895b5168c852602ff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5260a4f1e5b9448144e900395960409695352430fa6ded8897f94592458f5617",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2011-11-09T10:45:35Z",
    "title_canon_sha256": "18c011cd6814c3cccb3c956a26b454f93b6b9ee146d9e972995ff7b0abb2d050"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2169",
    "kind": "arxiv",
    "version": 2
  }
}