Pith Number

pith:4RW4CZMU

pith:2021:4RW4CZMU3KR5KY2AKDSMSAKMYN

not attested not anchored not stored refs pending

A monotone discretization for integral fractional Laplacian on bounded Lipschitz domains: Pointwise error estimates under H\"{o}lder regularity

Rubing Han, Shuonan Wu

arxiv:2109.09308 v3 · 2021-09-20 · 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{4RW4CZMU3KR5KY2AKDSMSAKMYN}

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	2026-07-05T04:45:37.190552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e46dc16594daa3d5634050e4c9014cc35856dcb303f5660ad0f0a1596d64a4b1

Aliases

arxiv: 2109.09308 · arxiv_version: 2109.09308v3 · doi: 10.48550/arxiv.2109.09308 · pith_short_12: 4RW4CZMU3KR5 · pith_short_16: 4RW4CZMU3KR5KY2A · pith_short_8: 4RW4CZMU

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/4RW4CZMU3KR5KY2AKDSMSAKMYN \
  | 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: e46dc16594daa3d5634050e4c9014cc35856dcb303f5660ad0f0a1596d64a4b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1d4a27743069cf93e6299a5589bbc52bd0bb3850d0c1c4bd21b72c7bf273e07",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-09-20T05:59:42Z",
    "title_canon_sha256": "1c0d4afb6e90f1d9260c34fe24642eba10b86ae65110e981b5e33b2639103302"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09308",
    "kind": "arxiv",
    "version": 3
  }
}