Pith Number

pith:CGAC7P5H

pith:2026:CGAC7P5HTO2J2D276CO64T63IH

not attested not anchored not stored refs pending

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator

Francesco Chiacchio

arxiv:2607.28328 v1 · 2026-07-30 · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGAC7P5HTO2J2D276CO64T63IH}

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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

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures

Receipt and verification

First computed	2026-07-31T01:37:14.994796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

11802fbfa79bb49d0f5ff09dee4fdb41fa27b30437493feda6d3f454f6b37aeb

Aliases

arxiv: 2607.28328 · arxiv_version: 2607.28328v1 · doi: 10.48550/arxiv.2607.28328 · pith_short_12: CGAC7P5HTO2J · pith_short_16: CGAC7P5HTO2J2D27 · pith_short_8: CGAC7P5H

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/CGAC7P5HTO2J2D276CO64T63IH \
  | 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: 11802fbfa79bb49d0f5ff09dee4fdb41fa27b30437493feda6d3f454f6b37aeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "984d762d460e2b6313d853d7721393ed2575f1da30738c94e1b4007ffe3309ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-07-30T14:58:34Z",
    "title_canon_sha256": "424a416e6a1960c55c8de79b8056b315d9e76ddc5906c802ea84f7256be07180"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28328",
    "kind": "arxiv",
    "version": 1
  }
}