Pith Number

pith:4TUKTKPF

pith:2010:4TUKTKPFNKZ2EF2LQGEFEGC3L6

not attested not anchored not stored refs pending

Spatial Besov Regularity for Stochastic Partial Differential Equations on Lipschitz Domains

Felix Lindner, Klaus Ritter, Petru A. Cioica, Ren\'e L. Schilling, Stefan Kinzel, Stephan Dahlke, Thorsten Raasch

arxiv:1011.1814 v1 · 2010-11-08 · math.PR · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TUKTKPFNKZ2EF2LQGEFEGC3L6}

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	2026-05-18T04:36:49.816920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e8a9a9e56ab3a2174b818852185b5f933535a4dacc0262095722fb1a86f626

Aliases

arxiv: 1011.1814 · arxiv_version: 1011.1814v1 · doi: 10.48550/arxiv.1011.1814 · pith_short_12: 4TUKTKPFNKZ2 · pith_short_16: 4TUKTKPFNKZ2EF2L · pith_short_8: 4TUKTKPF

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/4TUKTKPFNKZ2EF2LQGEFEGC3L6 \
  | 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: e4e8a9a9e56ab3a2174b818852185b5f933535a4dacc0262095722fb1a86f626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93659067b2efd537e79824c1cb5801883690aa1ad22b435e0b35b0090ea8ddac",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-08T14:51:42Z",
    "title_canon_sha256": "9eef6e1a415d60f81fb832bfcab96c7d6eb6b8b8cec3ce853609faca440d84d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1814",
    "kind": "arxiv",
    "version": 1
  }
}