Pith Number

pith:ZCBHPH4R

pith:2013:ZCBHPH4RXF2NSKLVCMIQQBTNJX

not attested not anchored not stored refs pending

Semilinear equations involving the fractional Laplacian on domains

Ray Yang, Wenxiong Chen, Yanqin Fang

arxiv:1309.7499 v1 · 2013-09-28 · 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{ZCBHPH4RXF2NSKLVCMIQQBTNJX}

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	2026-05-18T03:11:56.856018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c882779f91b974d92975131108066d4ddb62997b81c37effb9ec5ff36b240032

Aliases

arxiv: 1309.7499 · arxiv_version: 1309.7499v1 · doi: 10.48550/arxiv.1309.7499 · pith_short_12: ZCBHPH4RXF2N · pith_short_16: ZCBHPH4RXF2NSKLV · pith_short_8: ZCBHPH4R

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/ZCBHPH4RXF2NSKLVCMIQQBTNJX \
  | 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: c882779f91b974d92975131108066d4ddb62997b81c37effb9ec5ff36b240032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa4d455a84d1a9104ed9f55f64b10267f39f747799d9032dad94054804509cf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-28T20:20:35Z",
    "title_canon_sha256": "b5e7859e9aa2c217c5d974a7a8815f280c022180062c936a91e8b63bd784103a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7499",
    "kind": "arxiv",
    "version": 1
  }
}