Pith Number

pith:B5PSTUQP

pith:2025:B5PSTUQP4NOYY4SV6ZJOQXD7PM

not attested not anchored not stored refs pending

The Quantitative Faber-Krahn Inequality for the Combinatorial Laplacian in $\mathbb{Z}^{d}$

Gabriele Morselli, Gian Paolo Leonardi, Leonard Kreutz, Marco Cicalese

arxiv:2504.21629 v1 · 2025-04-30 · 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{B5PSTUQP4NOYY4SV6ZJOQXD7PM}

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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.

Cited by

1 paper in Pith

Krahn--Szeg\H{o} type inequalities and nodal domain methods on graphs

Receipt and verification

First computed	2026-07-05T10:56:27.110667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f5f29d20fe35d8c7255f652e85c7f7b28991d86ef2b049de0b50e044112148f

Aliases

arxiv: 2504.21629 · arxiv_version: 2504.21629v1 · doi: 10.48550/arxiv.2504.21629 · pith_short_12: B5PSTUQP4NOY · pith_short_16: B5PSTUQP4NOYY4SV · pith_short_8: B5PSTUQP

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/B5PSTUQP4NOYY4SV6ZJOQXD7PM \
  | 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: 0f5f29d20fe35d8c7255f652e85c7f7b28991d86ef2b049de0b50e044112148f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "262a455b98fb4e247c3955e1e57fd5eb140b4b7f5f18859a992e3031ccd44119",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-04-30T13:32:00Z",
    "title_canon_sha256": "1ffc26c14622ccfb30991693fe1f637af4ca4f0fd9070d567c6f1b9e38817426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.21629",
    "kind": "arxiv",
    "version": 1
  }
}