Pith Number

pith:QVKDMMTO

pith:2026:QVKDMMTOOVRHSKJC4NPA76WCTG

not attested not anchored not stored refs pending

Comparison Results for a class of Neumann Problems of the $p$-Laplace Equation on Riemannian Manifolds

Anqiang Zhu, Wentao Liu

arxiv:2606.22854 v1 · 2026-06-22 · 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{QVKDMMTOOVRHSKJC4NPA76WCTG}

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	2026-06-23T03:14:01.546829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

855436326e7562792922e35e0ffac29998d25d20c31149150a0f48eed45ed5da

Aliases

arxiv: 2606.22854 · arxiv_version: 2606.22854v1 · doi: 10.48550/arxiv.2606.22854 · pith_short_12: QVKDMMTOOVRH · pith_short_16: QVKDMMTOOVRHSKJC · pith_short_8: QVKDMMTO

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/QVKDMMTOOVRHSKJC4NPA76WCTG \
  | 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: 855436326e7562792922e35e0ffac29998d25d20c31149150a0f48eed45ed5da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "836eae2b464a4a67df8382e5a7be4cd56b13d181965d86552a7ad5cd1cc125d2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-22T04:58:37Z",
    "title_canon_sha256": "804d3be6d1cd72647eb17d0a6dab5edbad863406bf578ff7b820d23d649ca821"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22854",
    "kind": "arxiv",
    "version": 1
  }
}