Pith Number

pith:IDGCZ3LX

pith:2026:IDGCZ3LXOJBYW4FMGROS2WYZSI

not attested not anchored not stored refs pending

Mass Lumping and Numerical Quadrature for Approximation of Fractional Elliptic Differential Equations Driven by Gaussian White Noise

Alexandre B. Simas, David Bolin, Kelvin J. R. Almeida-Sousa

arxiv:2608.08658 v1 · 2026-08-09 · math.NA · cs.NA · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDGCZ3LXOJBYW4FMGROS2WYZSI}

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	2026-08-11T01:23:19.925609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40cc2ced7772438b70ac345d2d5b1992231cf391e8d4097bb497d59a238da586

Aliases

arxiv: 2608.08658 · arxiv_version: 2608.08658v1 · doi: 10.48550/arxiv.2608.08658 · pith_short_12: IDGCZ3LXOJBY · pith_short_16: IDGCZ3LXOJBYW4FM · pith_short_8: IDGCZ3LX

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/IDGCZ3LXOJBYW4FMGROS2WYZSI \
  | 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: 40cc2ced7772438b70ac345d2d5b1992231cf391e8d4097bb497d59a238da586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4650714bd1ec1f8ec938713981c804d41e7bf0de533768c0f2ee563bc749c21f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-08-09T12:04:19Z",
    "title_canon_sha256": "80adb6293754730ab4b7c501b69c291a241b40e9d0db260d05f9da962985be8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08658",
    "kind": "arxiv",
    "version": 1
  }
}