Pith Number

pith:LNLSWZIO

pith:2010:LNLSWZIOAULSHN7KGXULUYLHBJ

not attested not anchored not stored refs pending

Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise

Arnulf Jentzen, Michael Roeckner

arxiv:1005.4095 v2 · 2010-05-21 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNLSWZIOAULSHN7KGXULUYLHBJ}

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	2026-05-18T04:09:36.421754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b572b650e051723b7ea35e8ba61670a74dddbc1962390a4d88a71c8369192aa

Aliases

arxiv: 1005.4095 · arxiv_version: 1005.4095v2 · doi: 10.48550/arxiv.1005.4095 · pith_short_12: LNLSWZIOAULS · pith_short_16: LNLSWZIOAULSHN7K · pith_short_8: LNLSWZIO

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/LNLSWZIOAULSHN7KGXULUYLHBJ \
  | 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: 5b572b650e051723b7ea35e8ba61670a74dddbc1962390a4d88a71c8369192aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ba017cfbaf7315b65d4d25e022461e96cf6ff88f38e3b11dc319cf4f31fca18",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-21T22:52:11Z",
    "title_canon_sha256": "8903b3cffbd22d6da9fc7cce56b685891bce73a408209b18978705ef0c71a8b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4095",
    "kind": "arxiv",
    "version": 2
  }
}