Pith Number

pith:74J7RTO5

pith:2013:74J7RTO57GRMJUUDBSMQF7SUZJ

not attested not anchored not stored refs pending

Existence of solutions for a class of $p(x)$-laplacian equations involving a concave-convex nonlinearity with critical growth in $\mathbb{R}^{N}$

Claudianor O. Alves, Marcelo C. Ferreira

arxiv:1304.7142 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{74J7RTO57GRMJUUDBSMQF7SUZJ}

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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	2026-05-18T03:05:01.431852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff13f8cdddf9a2c4d2830c9902fe54ca521727146388335cb7acde0ee691791d

Aliases

arxiv: 1304.7142 · arxiv_version: 1304.7142v2 · doi: 10.48550/arxiv.1304.7142 · pith_short_12: 74J7RTO57GRM · pith_short_16: 74J7RTO57GRMJUUD · pith_short_8: 74J7RTO5

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/74J7RTO57GRMJUUDBSMQF7SUZJ \
  | 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: ff13f8cdddf9a2c4d2830c9902fe54ca521727146388335cb7acde0ee691791d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29bdeec84d6d1ffcd49b7dfbd4c2a25072c7e2297c2994d981f1a9af1707e4bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-26T12:37:50Z",
    "title_canon_sha256": "5695fc4119bfa9df56363335af42d306347bd34135c0e86b5e3ed40086f12f1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7142",
    "kind": "arxiv",
    "version": 2
  }
}