Pith Number

pith:MXZHRSTX

pith:2025:MXZHRSTXCKDFSUTFN4HOUTL6GP

not attested not anchored not stored refs pending

Lower bounds for the sum of the reciprocals of eigenvalues of bounded domains in $\mathbb{R}^n$, spheres, and closed orientable surfaces

Mehdi Eddaoudi

arxiv:2502.13089 v1 · 2025-02-18 · math.SP · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXZHRSTXCKDFSUTFN4HOUTL6GP}

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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

A proof of the Ashbaugh--Benguria conjecture for reciprocal sums of Neumann eigenvalues

Receipt and verification

First computed	2026-07-05T10:16:29.147056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65f278ca7712865952656f0eea4d7e33d5defdf1f5e51230f912e96bb9871b59

Aliases

arxiv: 2502.13089 · arxiv_version: 2502.13089v1 · doi: 10.48550/arxiv.2502.13089 · pith_short_12: MXZHRSTXCKDF · pith_short_16: MXZHRSTXCKDFSUTF · pith_short_8: MXZHRSTX

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/MXZHRSTXCKDFSUTFN4HOUTL6GP \
  | 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: 65f278ca7712865952656f0eea4d7e33d5defdf1f5e51230f912e96bb9871b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2235420d721e95b049b99e43ab87d669513f9dadbb9ccae536c7b0da374a6697",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-02-18T17:56:03Z",
    "title_canon_sha256": "bdf48f6963518ec3ae0048df78606c6e872bc7c6719f1df959357518a0aec6ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.13089",
    "kind": "arxiv",
    "version": 1
  }
}