Pith Number

pith:AQN7ZZIZ

pith:2018:AQN7ZZIZ4DI665Q2UF4IURH2ZU

not attested not anchored not stored refs pending

A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere

Barbara Brandolini, Francesco Chiacchio, Rafael D. Benguria

arxiv:1809.05695 v1 · 2018-09-15 · 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{AQN7ZZIZ4DI665Q2UF4IURH2ZU}

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	2026-05-18T00:05:40.245284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

041bfce519e0d1ef761aa1788a44facd0d8af0306620a69baa0f9b0c221ff269

Aliases

arxiv: 1809.05695 · arxiv_version: 1809.05695v1 · doi: 10.48550/arxiv.1809.05695 · pith_short_12: AQN7ZZIZ4DI6 · pith_short_16: AQN7ZZIZ4DI665Q2 · pith_short_8: AQN7ZZIZ

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/AQN7ZZIZ4DI665Q2UF4IURH2ZU \
  | 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: 041bfce519e0d1ef761aa1788a44facd0d8af0306620a69baa0f9b0c221ff269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfdb90092a40427c860a5bf3d0f7ad0e1c1a1626a515a66fea64c6ee7d9e6127",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-15T10:48:34Z",
    "title_canon_sha256": "978fbc5393126f88ca6a579c1b679bedc9f77a7e9edd728071538e6f92d1d557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05695",
    "kind": "arxiv",
    "version": 1
  }
}