Pith Number

pith:MGTTKFIS

pith:2026:MGTTKFIS2CPHKNBAMXB3KVH7ZA

not attested not anchored not stored refs pending

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

Raphael Coelho

arxiv:2606.15089 v2 · 2026-06-13 · q-fin.MF · 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{MGTTKFIS2CPHKNBAMXB3KVH7ZA}

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 Formally Verified Library of Mathematical Finance in Lean 4

The Fundamental Theorem of Asset Pricing, Formalized in Lean 4

Receipt and verification

First computed	2026-06-30T01:16:31.933390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61a7351512d09e75342065c3b554ffc83e8fad4f44911ec2b5070f7d04d071e6

Aliases

arxiv: 2606.15089 · arxiv_version: 2606.15089v2 · doi: 10.48550/arxiv.2606.15089 · pith_short_12: MGTTKFIS2CPH · pith_short_16: MGTTKFIS2CPHKNBA · pith_short_8: MGTTKFIS

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/MGTTKFIS2CPHKNBAMXB3KVH7ZA \
  | 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: 61a7351512d09e75342065c3b554ffc83e8fad4f44911ec2b5070f7d04d071e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be3d2ef0c3216f182f87e733f7633ebc4417ced1379751a2aabf72b4684c673b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2026-06-13T03:43:25Z",
    "title_canon_sha256": "c0a4a901f1ccb7eb09365b5e4c983da36bd63796aabe72f53306e9f637919d49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.15089",
    "kind": "arxiv",
    "version": 2
  }
}