Pith Number

pith:UGT6OYVP

pith:2026:UGT6OYVP3LOJUPILU2UCYOPSMG

not attested not anchored not stored refs pending

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue

Chuanqiang Chen, Jiahuan Li, Xi-Nan Ma

arxiv:2606.25678 v1 · 2026-06-24 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGT6OYVP3LOJUPILU2UCYOPSMG}

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	2026-06-25T01:18:12.629280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1a7e762afdadc9a3d0ba6a82c39f2619960bed55ca074a6c0458cc421687aeb

Aliases

arxiv: 2606.25678 · arxiv_version: 2606.25678v1 · doi: 10.48550/arxiv.2606.25678 · pith_short_12: UGT6OYVP3LOJ · pith_short_16: UGT6OYVP3LOJUPIL · pith_short_8: UGT6OYVP

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/UGT6OYVP3LOJUPILU2UCYOPSMG \
  | 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: a1a7e762afdadc9a3d0ba6a82c39f2619960bed55ca074a6c0458cc421687aeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cca755cd58dadc5ca825b2ebc4ebde510759b3ddc2e46685ef0f4a2aabcef9d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-24T10:43:44Z",
    "title_canon_sha256": "69cd1321a724c3e9577dbe8ff0775054392e39d4a064d8035ef67cf55ab212bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25678",
    "kind": "arxiv",
    "version": 1
  }
}