Pith Number

pith:5EFWZG2C

pith:2011:5EFWZG2CFVBMYL3G44GFQAPNJU

not attested not anchored not stored refs pending

Approximation of Stochastic Partial Differential Equations by a Kernel-based Collocation Method

Gregory E. Fasshauer, Igor Cialenco, Qi Ye

arxiv:1108.4213 v3 · 2011-08-21 · 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{5EFWZG2CFVBMYL3G44GFQAPNJU}

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	2026-05-18T03:46:03.837561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e90b6c9b422d42cc2f66e70c5801ed4d3eacc26e95f68548e8c9212a30b8ee56

Aliases

arxiv: 1108.4213 · arxiv_version: 1108.4213v3 · doi: 10.48550/arxiv.1108.4213 · pith_short_12: 5EFWZG2CFVBM · pith_short_16: 5EFWZG2CFVBMYL3G · pith_short_8: 5EFWZG2C

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/5EFWZG2CFVBMYL3G44GFQAPNJU \
  | 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: e90b6c9b422d42cc2f66e70c5801ed4d3eacc26e95f68548e8c9212a30b8ee56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2cc2a6a8c60380bfda300d2ef2f9385f0ca73f7c3dec9386903fb777f3afa7f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-08-21T21:19:28Z",
    "title_canon_sha256": "977eed3274178dd2553ed45b3203304f17223c360d176adbe741dde9da777b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4213",
    "kind": "arxiv",
    "version": 3
  }
}