Pith Number

pith:3YG6KDC3

pith:2010:3YG6KDC3QBWO7OTCWUP2XIZ7LE

not attested not anchored not stored refs pending

A lower bound for eigenvalues of the poly-Laplacian with arbitrary order

Guoxin Wei, Qing-Ming Cheng, Xuerong Qi

arxiv:1012.3006 v1 · 2010-12-14 · math.DG · 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{3YG6KDC3QBWO7OTCWUP2XIZ7LE}

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	2026-05-18T04:33:18.867058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de0de50c5b806cefba62b51faba33f5922b48b5fd0514439d5fae5ae25e0d1b7

Aliases

arxiv: 1012.3006 · arxiv_version: 1012.3006v1 · doi: 10.48550/arxiv.1012.3006 · pith_short_12: 3YG6KDC3QBWO · pith_short_16: 3YG6KDC3QBWO7OTC · pith_short_8: 3YG6KDC3

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/3YG6KDC3QBWO7OTCWUP2XIZ7LE \
  | 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: de0de50c5b806cefba62b51faba33f5922b48b5fd0514439d5fae5ae25e0d1b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4fe8883ce24e9fa4d9eb3f7413791e767a0ff6ac16e7f04e2a749e3f43358e8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-14T12:29:44Z",
    "title_canon_sha256": "627da56b05895e424b2f85662373f39800d8ec41524f945f35c4b74261543ed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3006",
    "kind": "arxiv",
    "version": 1
  }
}