Pith Number

pith:DA2GL7GZ

pith:2026:DA2GL7GZ3DCSM5P2X62UVUSBOU

not attested not anchored not stored refs pending

Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures

Qintao Deng, Yunjia Kou

arxiv:2607.06588 v1 · 2026-07-05 · 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{DA2GL7GZ3DCSM5P2X62UVUSBOU}

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	2026-07-09T00:19:19.464422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

183465fcd9d8c52675fabfb54ad241751910d8a8a17def329bb02c1aa7571f60

Aliases

arxiv: 2607.06588 · arxiv_version: 2607.06588v1 · doi: 10.48550/arxiv.2607.06588 · pith_short_12: DA2GL7GZ3DCS · pith_short_16: DA2GL7GZ3DCSM5P2 · pith_short_8: DA2GL7GZ

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/DA2GL7GZ3DCSM5P2X62UVUSBOU \
  | 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: 183465fcd9d8c52675fabfb54ad241751910d8a8a17def329bb02c1aa7571f60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4adbf54da0c9e4d948dca9ceb60985b3c62fdec6e048275a8f7b73e61c74623f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-05T18:50:19Z",
    "title_canon_sha256": "dae26dabfc553f91ee9b11b65d0245cdd67c011fbd7672540a9f484711ed5c9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06588",
    "kind": "arxiv",
    "version": 1
  }
}