Pith Number

pith:UIWWMY3H

pith:2013:UIWWMY3HQPQGENBMSFPUOBJNGW

not attested not anchored not stored refs pending

Nonlinear perturbations of a $p(x)$-Laplacian equation with critical growth in $\mathbb{R}^N$

Claudianor O. Alves, Marcelo C. Ferreira

arxiv:1304.7141 v2 · 2013-04-26 · 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{UIWWMY3HQPQGENBMSFPUOBJNGW}

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	2026-05-18T03:05:01.439020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a22d66636783e062342c915f47052d358e796edf38474a06848f9d86e5cedb00

Aliases

arxiv: 1304.7141 · arxiv_version: 1304.7141v2 · doi: 10.48550/arxiv.1304.7141 · pith_short_12: UIWWMY3HQPQG · pith_short_16: UIWWMY3HQPQGENBM · pith_short_8: UIWWMY3H

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/UIWWMY3HQPQGENBMSFPUOBJNGW \
  | 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: a22d66636783e062342c915f47052d358e796edf38474a06848f9d86e5cedb00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa3b336c3d343fccd31ce854198d3e7dff499e00f5c177d0b589a7e81aef438d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-26T12:32:44Z",
    "title_canon_sha256": "84668e2a6d2671e4427e9d6636b9396162050d56735ded7d00c7512bb806a0aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7141",
    "kind": "arxiv",
    "version": 2
  }
}