Pith Number

pith:PO3AU7UE

pith:2025:PO3AU7UECK7KFQJFTXVLKZQ2GT

not attested not anchored not stored refs pending

Maximizing higher eigenvalues in dimensions three and above

Denis Vinokurov

arxiv:2506.09328 v2 · 2025-06-11 · math.SP · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PO3AU7UECK7KFQJFTXVLKZQ2GT}

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.

Cited by

2 papers in Pith

Eigenvalue optimization via a first-variation formula

Geometric bounds for Steklov and weighted Neumann eigenvalues on Euclidean domains

Receipt and verification

First computed	2026-07-05T11:35:56.601753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bb60a7e8412bea2c1259deab5661a34e3cee33e3651a70c95c3384ae8677ebc

Aliases

arxiv: 2506.09328 · arxiv_version: 2506.09328v2 · doi: 10.48550/arxiv.2506.09328 · pith_short_12: PO3AU7UECK7K · pith_short_16: PO3AU7UECK7KFQJF · pith_short_8: PO3AU7UE

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/PO3AU7UECK7KFQJFTXVLKZQ2GT \
  | 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: 7bb60a7e8412bea2c1259deab5661a34e3cee33e3651a70c95c3384ae8677ebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466309f4fcb563dd25052e008905df94bfa7761d524574f28ddb7b51cf2eea0e",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-06-11T02:07:08Z",
    "title_canon_sha256": "3bd187d0670e7cc7659ed4b4432f8bca9f82ee5be224fe1b7e02ed8d7c922f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09328",
    "kind": "arxiv",
    "version": 2
  }
}