Pith Number

pith:2RXLCJJA

pith:2011:2RXLCJJALTWER6PYEFBL34NZG7

not attested not anchored not stored refs pending

Isoperimetric estimates for the first Neumann eigenvalue of Hermite differential equations

Francesco Chiacchio, Giuseppina di Blasio

arxiv:1104.1101 v5 · 2011-03-29 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RXLCJJALTWER6PYEFBL34NZG7}

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	2026-05-18T04:10:48.193758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d46eb125205cec48f9f82142bdf1b937f39995d517d5faca01382216e69f4ada

Aliases

arxiv: 1104.1101 · arxiv_version: 1104.1101v5 · doi: 10.48550/arxiv.1104.1101 · pith_short_12: 2RXLCJJALTWE · pith_short_16: 2RXLCJJALTWER6PY · pith_short_8: 2RXLCJJA

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/2RXLCJJALTWER6PYEFBL34NZG7 \
  | 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: d46eb125205cec48f9f82142bdf1b937f39995d517d5faca01382216e69f4ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b4a553bc8802e444a59fb9f5d760bd8942777ef440f65d0d52b94ffaf179b5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-29T14:53:01Z",
    "title_canon_sha256": "272b77912f3099e6ddd843d6fdde2895523bf147de34189100b767bd405d2740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1101",
    "kind": "arxiv",
    "version": 5
  }
}