Pith Number

pith:CIFGCMZU

pith:2024:CIFGCMZUJPG236OOUN6CDX2W4U

not attested not anchored not stored refs pending

Minimal hypersurfaces in $\mathbb{S}^5$ with constant scalar curvature and zero Gauss curvature are totally geodesic

Qing Cui

arxiv:2407.13203 v1 · 2024-07-18 · 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{CIFGCMZUJPG236OOUN6CDX2W4U}

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	2026-07-05T08:45:35.685652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

120a6133344bcdadf9cea37c21df56e52a90f73bea94f8e9517e7934cac76830

Aliases

arxiv: 2407.13203 · arxiv_version: 2407.13203v1 · doi: 10.48550/arxiv.2407.13203 · pith_short_12: CIFGCMZUJPG2 · pith_short_16: CIFGCMZUJPG236OO · pith_short_8: CIFGCMZU

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/CIFGCMZUJPG236OOUN6CDX2W4U \
  | 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: 120a6133344bcdadf9cea37c21df56e52a90f73bea94f8e9517e7934cac76830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3a23abc45de5a10455f296a2e15b571bcaf7b10f2dacda55d39ee1ed60f19b3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-07-18T06:41:53Z",
    "title_canon_sha256": "8ec3f5ad22262ca91c02083e676131b883e93d4144f51e45c3375277e4a266e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.13203",
    "kind": "arxiv",
    "version": 1
  }
}