Pith Number

pith:JUETYCJ3

pith:2010:JUETYCJ3BD4BTL3M6BIZNVH5YW

not attested not anchored not stored refs pending

Functional It\^{o} calculus and stochastic integral representation of martingales

David-Antoine Fourni\'e, Rama Cont

arxiv:1002.2446 v5 · 2010-02-11 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JUETYCJ3BD4BTL3M6BIZNVH5YW}

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	2026-05-18T03:34:46.641636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d093c093b08f819af6cf05196d4fdc5a5b58d17767000bee81013c819b31564

Aliases

arxiv: 1002.2446 · arxiv_version: 1002.2446v5 · doi: 10.48550/arxiv.1002.2446 · pith_short_12: JUETYCJ3BD4B · pith_short_16: JUETYCJ3BD4BTL3M · pith_short_8: JUETYCJ3

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/JUETYCJ3BD4BTL3M6BIZNVH5YW \
  | 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: 4d093c093b08f819af6cf05196d4fdc5a5b58d17767000bee81013c819b31564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac99c8dd84fd32fb313a2d828d89113ec82439058036300125d94001d79653f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-02-11T22:58:34Z",
    "title_canon_sha256": "674c4288f07d7086ec74b7758627d329b4475a1ba87401d23aab1d6de440cc94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2446",
    "kind": "arxiv",
    "version": 5
  }
}