Pith Number

pith:4UL7UJLA

pith:2013:4UL7UJLA63DRZQQJ6PCYJRDOGS

not attested not anchored not stored refs pending

Approximation of the invariant law of SPDEs: error analysis using a Poisson equation for a full-discretization scheme

Charles-Edouard Br\'ehier, Marie Kopec

arxiv:1311.7030 v2 · 2013-11-27 · math.NA · 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{4UL7UJLA63DRZQQJ6PCYJRDOGS}

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	2026-05-18T03:05:57.172776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e517fa2560f6c71cc209f3c584c46e34be95c549fa64fe906343c998bf80d94d

Aliases

arxiv: 1311.7030 · arxiv_version: 1311.7030v2 · doi: 10.48550/arxiv.1311.7030 · pith_short_12: 4UL7UJLA63DR · pith_short_16: 4UL7UJLA63DRZQQJ · pith_short_8: 4UL7UJLA

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/4UL7UJLA63DRZQQJ6PCYJRDOGS \
  | 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: e517fa2560f6c71cc209f3c584c46e34be95c549fa64fe906343c998bf80d94d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3757e286c9248f9a514a3f3891d0f665a6b6fac20b25af8a7e9ac937a60ccb41",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-27T16:41:28Z",
    "title_canon_sha256": "a79262314950ad63ef64a2ffb23d391c4c18a70c6a0a9f384bc2ed91cee69bcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7030",
    "kind": "arxiv",
    "version": 2
  }
}