Pith Number

pith:CNF2JIDW

pith:2015:CNF2JIDWLQCRAN6Y4M2E2ARZRT

not attested not anchored not stored refs pending

It\^o formula for integral processes related to space-time L\'evy white noise

Cheikh B. Ndongo, Raluca M. Balan

arxiv:1505.04685 v1 · 2015-05-18 · 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{CNF2JIDWLQCRAN6Y4M2E2ARZRT}

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	2026-05-18T02:07:24.849953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

134ba4a0765c051037d8e3344d02398cf7e9e95372675786dd7392b8f8f773fc

Aliases

arxiv: 1505.04685 · arxiv_version: 1505.04685v1 · doi: 10.48550/arxiv.1505.04685 · pith_short_12: CNF2JIDWLQCR · pith_short_16: CNF2JIDWLQCRAN6Y · pith_short_8: CNF2JIDW

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/CNF2JIDWLQCRAN6Y4M2E2ARZRT \
  | 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: 134ba4a0765c051037d8e3344d02398cf7e9e95372675786dd7392b8f8f773fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0df778ceeae840fe5019a15b20c1445da6eab3094d2ab7d1471d76dc7667258",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-18T15:40:01Z",
    "title_canon_sha256": "9a3c76dc0a5d8a64eb50c8c3ccdef70dd0203ad3f930ddfd537ba4dcbfcdf2f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04685",
    "kind": "arxiv",
    "version": 1
  }
}