Pith Number

pith:YXJNNJ3Z

pith:2026:YXJNNJ3ZIWIRTDEYVHYHUGXKXC

not attested not anchored not stored refs pending

A Formally Verified Library of Mathematical Finance in Lean 4

Raphael Coelho

arxiv:2606.01356 v1 · 2026-05-31 · q-fin.MF · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXJNNJ3ZIWIRTDEYVHYHUGXKXC}

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.

Cited by

2 papers in Pith

A Machine-Checked It\^o Calculus for Brownian Motion

The Fundamental Theorem of Asset Pricing, Formalized in Lean 4

Receipt and verification

First computed	2026-06-02T02:04:31.074029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d2d6a7794591198c98a9f07a1aeab89d3e87f3aee83902601c7c589e6aa85a

Aliases

arxiv: 2606.01356 · arxiv_version: 2606.01356v1 · doi: 10.48550/arxiv.2606.01356 · pith_short_12: YXJNNJ3ZIWIR · pith_short_16: YXJNNJ3ZIWIRTDEY · pith_short_8: YXJNNJ3Z

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/YXJNNJ3ZIWIRTDEYVHYHUGXKXC \
  | 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: c5d2d6a7794591198c98a9f07a1aeab89d3e87f3aee83902601c7c589e6aa85a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c801d2ff99bc586bf9528503588208cccced0e3e3d08438baf62d774d131b57",
    "cross_cats_sorted": [
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2026-05-31T17:27:29Z",
    "title_canon_sha256": "3ca3f54792f1e3eaec5391ccbe86eb70e575ab62a77400e502fa814dc752ed50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01356",
    "kind": "arxiv",
    "version": 1
  }
}