Pith Number

pith:NTHZWPYY

pith:2010:NTHZWPYYXURY35GVKGE74VINEO

not attested not anchored not stored refs pending

Taylor expansions of solutions of stochastic partial differential equations with additive noise

Arnulf Jentzen, Peter Kloeden

arxiv:1010.0161 v1 · 2010-10-01 · 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{NTHZWPYYXURY35GVKGE74VINEO}

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	2026-05-18T04:40:00.158987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ccf9b3f18bd238df4d55189fe550d23a1654f91b4b1bd4db895ee113ea5115c

Aliases

arxiv: 1010.0161 · arxiv_version: 1010.0161v1 · doi: 10.48550/arxiv.1010.0161 · pith_short_12: NTHZWPYYXURY · pith_short_16: NTHZWPYYXURY35GV · pith_short_8: NTHZWPYY

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/NTHZWPYYXURY35GVKGE74VINEO \
  | 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: 6ccf9b3f18bd238df4d55189fe550d23a1654f91b4b1bd4db895ee113ea5115c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e5cdc9b0ec1d9565f04babe223ac78032c4804f68cb79cb7d7867cff6bd01bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-01T13:40:58Z",
    "title_canon_sha256": "6c28d1fb3ecc2442aff620036aa86d44e24d8ebc833a3e359347495d73fc6b28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0161",
    "kind": "arxiv",
    "version": 1
  }
}