Pith Number

pith:VRHLHMC7

pith:2026:VRHLHMC7OKW72VO3375W7MGWJE

not attested not anchored not stored refs pending

A Sharp Reverse Minkowski Inequality for the Gaussian Mass of Integral Unimodular Lattices Through Rank $32$

Scott Duke Kominers

arxiv:2606.01347 v1 · 2026-05-31 · math.NT · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRHLHMC7OKW72VO3375W7MGWJE}

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	2026-06-02T02:04:30.825691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4eb3b05f72adfd55dbdffb6fb0d6493ff9b464a30ff3d44e6af66379f3613f

Aliases

arxiv: 2606.01347 · arxiv_version: 2606.01347v1 · doi: 10.48550/arxiv.2606.01347 · pith_short_12: VRHLHMC7OKW7 · pith_short_16: VRHLHMC7OKW72VO3 · pith_short_8: VRHLHMC7

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/VRHLHMC7OKW72VO3375W7MGWJE \
  | 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: ac4eb3b05f72adfd55dbdffb6fb0d6493ff9b464a30ff3d44e6af66379f3613f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acccf0a6aa3e2892d0686ba842a416eba4ca1fe982323001bf9e260698b85d89",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-31T16:55:52Z",
    "title_canon_sha256": "35ce14a891ec3ce4cc82068920e372bdc507aa75339349a5c61e42f42ee4949c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01347",
    "kind": "arxiv",
    "version": 1
  }
}