Pith Number

pith:M4HUBLVA

pith:2017:M4HUBLVAKWT5PFTSWD7PKQV4QP

not attested not anchored not stored refs pending

Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet Laplace eigenvalues on integer lattices

Bobo Hua, Yanhui Su, Yong Lin

arxiv:1710.05799 v1 · 2017-10-16 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4HUBLVAKWT5PFTSWD7PKQV4QP}

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	2026-05-18T00:32:48.124190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670f40aea055a7d79672b0fef542bc83fb91759f48f47e2d2229f8c17e5bd186

Aliases

arxiv: 1710.05799 · arxiv_version: 1710.05799v1 · doi: 10.48550/arxiv.1710.05799 · pith_short_12: M4HUBLVAKWT5 · pith_short_16: M4HUBLVAKWT5PFTS · pith_short_8: M4HUBLVA

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/M4HUBLVAKWT5PFTSWD7PKQV4QP \
  | 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: 670f40aea055a7d79672b0fef542bc83fb91759f48f47e2d2229f8c17e5bd186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ae4fe9a01a314a13fe5880619ffa9728dcbc4ca3f9bb4b173cc336fa86e9ce2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-10-16T16:02:40Z",
    "title_canon_sha256": "a2d8cf850190636a087ffccf6e98a8c444bf7c35541f84a4a060e90a6a24f7e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05799",
    "kind": "arxiv",
    "version": 1
  }
}