Pith Number

pith:GKBNMSB2

pith:2025:GKBNMSB2ZWY7WU37THVAQXA3IV

not attested not anchored not stored refs pending

A Second-order method on graded meshes for fractional Laplacian via Riesz fractional derivative with a singular source term

Fan Yu, Jiankang Shi, Jianxing Han, Minghua Chen

arxiv:2502.11117 v1 · 2025-02-16 · math.NA · cs.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{GKBNMSB2ZWY7WU37THVAQXA3IV}

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	2026-07-05T10:15:03.939600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3282d6483acdb1fb537f99ea085c1b457f362eec0dd8607f76db749542f0b578

Aliases

arxiv: 2502.11117 · arxiv_version: 2502.11117v1 · doi: 10.48550/arxiv.2502.11117 · pith_short_12: GKBNMSB2ZWY7 · pith_short_16: GKBNMSB2ZWY7WU37 · pith_short_8: GKBNMSB2

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/GKBNMSB2ZWY7WU37THVAQXA3IV \
  | 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: 3282d6483acdb1fb537f99ea085c1b457f362eec0dd8607f76db749542f0b578

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "476d6a05c7a295deb18548ee4da14a05d02cc5568daec714906f0dd707a87bca",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-02-16T13:24:31Z",
    "title_canon_sha256": "6dc6e25e4989ad3dfa213fddcb05c8f24205459586937b06e5bf6a9d07de3607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.11117",
    "kind": "arxiv",
    "version": 1
  }
}