Pith Number

pith:DD46CRSA

pith:2011:DD46CRSAQJW262ZJHPMCSSUAAE

not attested not anchored not stored refs pending

Existence and multiplicity of solutions to equations of $N-$Laplacian type with critical exponential growth in $\mathbb{R}^{N}$

Guozhen Lu, Nguyen Lam

arxiv:1107.0375 v1 · 2011-07-02 · 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{DD46CRSAQJW262ZJHPMCSSUAAE}

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	2026-05-18T04:18:54.086561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18f9e14640826daf6b293bd8294a800100d006b012ab7a5c5a762c652f0cf73c

Aliases

arxiv: 1107.0375 · arxiv_version: 1107.0375v1 · doi: 10.48550/arxiv.1107.0375 · pith_short_12: DD46CRSAQJW2 · pith_short_16: DD46CRSAQJW262ZJ · pith_short_8: DD46CRSA

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/DD46CRSAQJW262ZJHPMCSSUAAE \
  | 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: 18f9e14640826daf6b293bd8294a800100d006b012ab7a5c5a762c652f0cf73c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf302e69550848aec7ac8d491e22923bfcfac6a0149de610a782d03d514f90c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-02T12:13:32Z",
    "title_canon_sha256": "29fe52d015b0d0e478a64bdd1ef7f6c2eed2346860541de950b8b256282d10fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0375",
    "kind": "arxiv",
    "version": 1
  }
}