Pith Number

pith:LLMFJFBZ

pith:2016:LLMFJFBZ7GLYSNRSDBDM5O6WLD

not attested not anchored not stored refs pending

Multiplicity results for critical $p$-Laplacian problems

Giuseppina Barletta, Kanishka Perera, Pasquale Candito, Salvatore A. Marano

arxiv:1608.03266 v1 · 2016-08-10 · 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{LLMFJFBZ7GLYSNRSDBDM5O6WLD}

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	2026-05-18T01:09:29.954915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ad8549439f9978936321846cebbd658c14dc76c71cb579310dbbcda489ed854

Aliases

arxiv: 1608.03266 · arxiv_version: 1608.03266v1 · doi: 10.48550/arxiv.1608.03266 · pith_short_12: LLMFJFBZ7GLY · pith_short_16: LLMFJFBZ7GLYSNRS · pith_short_8: LLMFJFBZ

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/LLMFJFBZ7GLYSNRSDBDM5O6WLD \
  | 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: 5ad8549439f9978936321846cebbd658c14dc76c71cb579310dbbcda489ed854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62ce6126dbcccb40715d2a02fe245280297828595d37cc1244a9bb08a3205a71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-10T19:42:41Z",
    "title_canon_sha256": "1805fcec30c44a5aa9ac6ad69048949683693876c6decc12e3d3e9e3ba538bb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03266",
    "kind": "arxiv",
    "version": 1
  }
}