Pith Number

pith:2JVBUJVL

pith:2017:2JVBUJVLEMGICZD5K5OBUTKLQG

not attested not anchored not stored refs pending

An isoperimetric inequality for Laplace eigenvalues on the sphere

Alexei V. Penskoi, Iosif Polterovich, Mikhail Karpukhin, Nikolai Nadirashvili

arxiv:1706.05713 v4 · 2017-06-18 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JVBUJVLEMGICZD5K5OBUTKLQG}

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	2026-05-17T23:52:29.486773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d26a1a26ab230c81647d575c1a4d4b81b94903f2124cfbfd978a36324a84951a

Aliases

arxiv: 1706.05713 · arxiv_version: 1706.05713v4 · doi: 10.48550/arxiv.1706.05713 · pith_short_12: 2JVBUJVLEMGI · pith_short_16: 2JVBUJVLEMGICZD5 · pith_short_8: 2JVBUJVL

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/2JVBUJVLEMGICZD5K5OBUTKLQG \
  | 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: d26a1a26ab230c81647d575c1a4d4b81b94903f2124cfbfd978a36324a84951a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2955b6654f295955bea4c888dbd0bf84eb279718c6e94aa4b811647d497cc961",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-06-18T20:06:11Z",
    "title_canon_sha256": "4d5028aed52dcdaf4c0fd3341eaf4a9f8cbcdc2777eec0ee5f098e8e46f93a2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05713",
    "kind": "arxiv",
    "version": 4
  }
}