Pith Number

pith:OYSE6LAF

pith:2018:OYSE6LAFZJBFLNSYZEYPVTQZPB

not attested not anchored not stored refs pending

Pathwise integration and change of variable formulas for continuous paths with arbitrary regularity

Nicolas Perkowski, Rama Cont

arxiv:1803.09269 v2 · 2018-03-25 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYSE6LAFZJBFLNSYZEYPVTQZPB}

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	2026-05-17T23:47:03.430902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76244f2c05ca4255b658c930face19785029fc66cda739d5577a14cc0abf5fca

Aliases

arxiv: 1803.09269 · arxiv_version: 1803.09269v2 · doi: 10.48550/arxiv.1803.09269 · pith_short_12: OYSE6LAFZJBF · pith_short_16: OYSE6LAFZJBFLNSY · pith_short_8: OYSE6LAF

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/OYSE6LAFZJBFLNSYZEYPVTQZPB \
  | 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: 76244f2c05ca4255b658c930face19785029fc66cda739d5577a14cc0abf5fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38f9f000993116841c3c4d77f2a5900ed1c7f20561e0146d2e7c0700e080b993",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-25T14:54:48Z",
    "title_canon_sha256": "d5cf69ca238b13fcb9574f21287f3cd213316ab1773063a1ac0c73ad7c4bb8a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09269",
    "kind": "arxiv",
    "version": 2
  }
}