Pith Number

pith:GPX4Z63X

pith:2014:GPX4Z63XJBRD3G46MT6SNP3ZCD

not attested not anchored not stored refs pending

Existence, Uniqueness of Positive Solution to a Fractional Laplacians with Singular Nonlinearity

Yanqin Fang

arxiv:1403.3149 v1 · 2014-03-13 · 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{GPX4Z63XJBRD3G46MT6SNP3ZCD}

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	2026-05-18T02:56:31.804016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33efccfb7748623d9b9e64fd26bf7910c3b84df8e6802e90dc4d04c7688c6fcb

Aliases

arxiv: 1403.3149 · arxiv_version: 1403.3149v1 · doi: 10.48550/arxiv.1403.3149 · pith_short_12: GPX4Z63XJBRD · pith_short_16: GPX4Z63XJBRD3G46 · pith_short_8: GPX4Z63X

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/GPX4Z63XJBRD3G46MT6SNP3ZCD \
  | 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: 33efccfb7748623d9b9e64fd26bf7910c3b84df8e6802e90dc4d04c7688c6fcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d11478bf4f9fee46728ffe463212e2c77c0ddb9af11a5314af27dfb336a66f5f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-13T02:39:59Z",
    "title_canon_sha256": "66642d9f98797d3ec96af88de2047401c965d9184a25f1ae3bfa31ca5fb10f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3149",
    "kind": "arxiv",
    "version": 1
  }
}