Pith Number

pith:PC3GNNVS

pith:2010:PC3GNNVSMUUEM2UH2DV4O7RSFN

not attested not anchored not stored refs pending

Expectation of Stratonovich iterated integrals of Wiener processes

Christophe Ladroue

arxiv:1008.4033 v1 · 2010-08-24 · 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{PC3GNNVSMUUEM2UH2DV4O7RSFN}

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	2026-05-18T04:41:54.330850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b666b6b26528466a87d0ebc77e322b5d8f0994266a6844fc6cb3635f68f93f

Aliases

arxiv: 1008.4033 · arxiv_version: 1008.4033v1 · doi: 10.48550/arxiv.1008.4033 · pith_short_12: PC3GNNVSMUUE · pith_short_16: PC3GNNVSMUUEM2UH · pith_short_8: PC3GNNVS

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/PC3GNNVSMUUEM2UH2DV4O7RSFN \
  | 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: 78b666b6b26528466a87d0ebc77e322b5d8f0994266a6844fc6cb3635f68f93f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36384a53f35819ca35885659d15d58bf87bbbf72255e0951a7036973f15dd924",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-24T13:04:48Z",
    "title_canon_sha256": "ff8acdcda75ce6243ffcadf546bc2a04b66df7d0241f5e0f45a57cb45b4683c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4033",
    "kind": "arxiv",
    "version": 1
  }
}