Pith Number

pith:XDQJ43YB

pith:2010:XDQJ43YB6ZKULB22JOMDU56FJW

not attested not anchored not stored refs pending

Existence of Nontrivial Solutions for p-Laplacian Equations in {R}^{N}

Chungen Liu, Youquan Zheng

arxiv:1011.5284 v1 · 2010-11-24 · 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{XDQJ43YB6ZKULB22JOMDU56FJW}

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	2026-05-18T04:34:47.646449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e09e6f01f65545875a4b983a77c54d81ddaedb3bff416e8d1d864dc78ac167

Aliases

arxiv: 1011.5284 · arxiv_version: 1011.5284v1 · doi: 10.48550/arxiv.1011.5284 · pith_short_12: XDQJ43YB6ZKU · pith_short_16: XDQJ43YB6ZKULB22 · pith_short_8: XDQJ43YB

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/XDQJ43YB6ZKULB22JOMDU56FJW \
  | 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: b8e09e6f01f65545875a4b983a77c54d81ddaedb3bff416e8d1d864dc78ac167

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "752e4d0f40228c37fc6a91d0e9bdf68c0e8e736ca032c9a001abebca2a567662",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-24T03:33:28Z",
    "title_canon_sha256": "1fbeb9d2e2b63695eb2fc9c1917d576052ce6af80d33949bcebefbff1e1aeceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5284",
    "kind": "arxiv",
    "version": 1
  }
}