Pith Number

pith:V5NJJRIT

pith:2011:V5NJJRITXHX3IDYYUSS4DQFEDI

not attested not anchored not stored refs pending

Existence of sign-changing solutions for the nonlinear $p$-Laplacian boundary value problem

Wei-Cheng Lian, Wei-Chuan Wang, Y.H. Cheng

arxiv:1105.2187 v1 · 2011-05-11 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5NJJRITXHX3IDYYUSS4DQFEDI}

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	2026-05-18T04:22:21.338934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af5a94c513b9efb40f18a4a5c1c0a41a0a4d7da6cb5122db2df2eddd84facca7

Aliases

arxiv: 1105.2187 · arxiv_version: 1105.2187v1 · doi: 10.48550/arxiv.1105.2187 · pith_short_12: V5NJJRITXHX3 · pith_short_16: V5NJJRITXHX3IDYY · pith_short_8: V5NJJRIT

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/V5NJJRITXHX3IDYYUSS4DQFEDI \
  | 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: af5a94c513b9efb40f18a4a5c1c0a41a0a4d7da6cb5122db2df2eddd84facca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c19f92db921e6029b0a827ec101ae7900580a927a9ab8ecb5282dfc855ea127",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-11T13:48:07Z",
    "title_canon_sha256": "91b563a1c8a21d7cd1ea5d4c88091988fd3be70912b97149c010b7b88965e552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2187",
    "kind": "arxiv",
    "version": 1
  }
}