Pith Number

pith:WHW22Y5K

pith:2005:WHW22Y5K5MNQPVMYNZ5UFZQYW4

not attested not anchored not stored refs pending

Stochastic Integral with respect to Cylindrical Wiener Process

Anna Karczewska

arxiv:math/0511512 v1 · 2005-11-21 · 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{WHW22Y5K5MNQPVMYNZ5UFZQYW4}

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

1 paper in Pith

Conditional Speed and Shape Corrections for Travelling Wave Solutions to Stochastically Perturbed Reaction-Diffusion Systems

Receipt and verification

First computed	2026-07-04T14:51:43.541347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1edad63aaeb1b07d5986e7b42e618b7066268588663fec7d63698bfd74d05f4

Aliases

arxiv: math/0511512 · arxiv_version: math/0511512v1 · doi: 10.48550/arxiv.math/0511512 · pith_short_12: WHW22Y5K5MNQ · pith_short_16: WHW22Y5K5MNQPVMY · pith_short_8: WHW22Y5K

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/WHW22Y5K5MNQPVMYNZ5UFZQYW4 \
  | 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: b1edad63aaeb1b07d5986e7b42e618b7066268588663fec7d63698bfd74d05f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c16783327baa54b485e782dd9408dae9f961c394f057c7ce93e7085b3e2c444e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-11-21T09:11:51Z",
    "title_canon_sha256": "a841838bae61e49ed27cf523104fb9d18b826bc564b77b540328e7c9da8a904b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511512",
    "kind": "arxiv",
    "version": 1
  }
}