Pith Number

pith:PDBDL46L

pith:2018:PDBDL46L472X7GWCFBX2TBIKVB

not attested not anchored not stored refs pending

A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional $p(\cdot)$-Laplacian

Ky Ho, Yun-Ho Kim

arxiv:1810.04818 v1 · 2018-10-11 · 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{PDBDL46L472X7GWCFBX2TBIKVB}

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	2026-05-18T00:03:35.753951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c235f3cbe7f57f9ac2286fa9850aa866aad279601ddf2cd4010fd9ff04664e

Aliases

arxiv: 1810.04818 · arxiv_version: 1810.04818v1 · doi: 10.48550/arxiv.1810.04818 · pith_short_12: PDBDL46L472X · pith_short_16: PDBDL46L472X7GWC · pith_short_8: PDBDL46L

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/PDBDL46L472X7GWCFBX2TBIKVB \
  | 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: 78c235f3cbe7f57f9ac2286fa9850aa866aad279601ddf2cd4010fd9ff04664e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecb598d49a5f64539cfd5a5b94d5eb98737353090964d4858bb438fc23332777",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-11T02:02:04Z",
    "title_canon_sha256": "b1a1ba0041ed39665a9f749b7a1f52c41467ec13be52ccc3e054e1f70135be8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04818",
    "kind": "arxiv",
    "version": 1
  }
}