Pith Number

pith:FJT5UUXJ

pith:2025:FJT5UUXJWCYOZMIGYYIEYEUJGU

not attested not anchored not stored refs pending

Complete minimal hypersurfaces in $\mathbb H^5$ with constant scalar curvature and zero Gauss-Kronecker curvature

Boyuan Zhang, Qing Cui

arxiv:2501.16232 v1 · 2025-01-27 · 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{FJT5UUXJWCYOZMIGYYIEYEUJGU}

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	2026-07-05T10:05:57.049503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a67da52e9b0b0ecb106c6104c1289352496f53c2780ad7da2c37be76178d911

Aliases

arxiv: 2501.16232 · arxiv_version: 2501.16232v1 · doi: 10.48550/arxiv.2501.16232 · pith_short_12: FJT5UUXJWCYO · pith_short_16: FJT5UUXJWCYOZMIG · pith_short_8: FJT5UUXJ

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/FJT5UUXJWCYOZMIGYYIEYEUJGU \
  | 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: 2a67da52e9b0b0ecb106c6104c1289352496f53c2780ad7da2c37be76178d911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7ff1322c2f258b5d6f155012cfbbbd1917bbc322e5a0e2714ffa2f1640743f3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-01-27T17:30:06Z",
    "title_canon_sha256": "604a2302177bfb79ae9ea78519fac5106677b2b45ded0a1ec8d9059b9e98cf40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16232",
    "kind": "arxiv",
    "version": 1
  }
}