Pith Number

pith:4YQEVXSY

pith:2026:4YQEVXSYTQLO2THOXDGOFJE4ZW

not attested not anchored not stored refs pending

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue

Khai-Hoan Nguyen-Dang, Tr\'i Minh L\^e

arxiv:2607.04418 v1 · 2026-07-05 · 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{4YQEVXSYTQLO2THOXDGOFJE4ZW}

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	2026-07-07T02:19:17.544288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6204ade589c16ed4ceeb8cce2a49ccd956c95c824d4692f0cb141b2a4a398dd

Aliases

arxiv: 2607.04418 · arxiv_version: 2607.04418v1 · doi: 10.48550/arxiv.2607.04418 · pith_short_12: 4YQEVXSYTQLO · pith_short_16: 4YQEVXSYTQLO2THO · pith_short_8: 4YQEVXSY

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/4YQEVXSYTQLO2THOXDGOFJE4ZW \
  | 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: e6204ade589c16ed4ceeb8cce2a49ccd956c95c824d4692f0cb141b2a4a398dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28fad0b7744e941006fafc5fcf6a05dec575a2643cbeb65eaaf17a0a28e9e23",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-05T17:19:59Z",
    "title_canon_sha256": "11fa2532d8d355e7f1bf20aa75d40d9623f9d811f01681158e4bd356d2711343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04418",
    "kind": "arxiv",
    "version": 1
  }
}