Pith Number

pith:J3NLCGIQ

pith:2015:J3NLCGIQIJVAXDRMZ7H2QLUCEX

not attested not anchored not stored refs pending

Equations involving fractional Laplacian operator: Compactness and application

Jianfu Yang, Shusen Yan, Xiaohui Yu

arxiv:1503.00788 v1 · 2015-03-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3NLCGIQIJVAXDRMZ7H2QLUCEX}

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	2026-05-18T02:25:48.409432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4edab11910426a0b8e2ccfcfa82e8225e97b250d8ad2da2bcb0b710d52e4b873

Aliases

arxiv: 1503.00788 · arxiv_version: 1503.00788v1 · doi: 10.48550/arxiv.1503.00788 · pith_short_12: J3NLCGIQIJVA · pith_short_16: J3NLCGIQIJVAXDRM · pith_short_8: J3NLCGIQ

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/J3NLCGIQIJVAXDRMZ7H2QLUCEX \
  | 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: 4edab11910426a0b8e2ccfcfa82e8225e97b250d8ad2da2bcb0b710d52e4b873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a78336e00286505ac5a656aeabcc3bf493498082717701a740443f52b74f22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-03T00:32:05Z",
    "title_canon_sha256": "72b7e038f5a7ad86ba69fe22c6d537039fe283ea669bee5a5512f0de9c19031d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00788",
    "kind": "arxiv",
    "version": 1
  }
}