Pith Number

pith:O2U5ULNZ

pith:2014:O2U5ULNZI2O6YY7PD3FRVK34FG

not attested not anchored not stored refs pending

A direct method of moving planes for the fractional Laplacian

Congming Li, Wenxiong Chen, Yan Li

arxiv:1411.1697 v2 · 2014-11-06 · 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{O2U5ULNZI2O6YY7PD3FRVK34FG}

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	2026-05-18T01:17:01.129728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a9da2db9469dec63ef1ecb1aab7c29aadaf2a6b9ecd1ae1446adfd302c8f24

Aliases

arxiv: 1411.1697 · arxiv_version: 1411.1697v2 · doi: 10.48550/arxiv.1411.1697 · pith_short_12: O2U5ULNZI2O6 · pith_short_16: O2U5ULNZI2O6YY7P · pith_short_8: O2U5ULNZ

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/O2U5ULNZI2O6YY7PD3FRVK34FG \
  | 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: 76a9da2db9469dec63ef1ecb1aab7c29aadaf2a6b9ecd1ae1446adfd302c8f24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cef301aab5fbc7fa229bca6d9dde95d43c958a7dc33f68f1ebc08ead88a866e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-06T18:41:59Z",
    "title_canon_sha256": "dc974d59924adcfe34db2d85aba3e03037230cc22a25fd1c06812b32f0679881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1697",
    "kind": "arxiv",
    "version": 2
  }
}