Pith Number

pith:WTIO2HZ5

pith:2024:WTIO2HZ5ZPRORQR2I5ASCLB5CH

not attested not anchored not stored refs pending

Constantly curved holomorphic two-spheres in the complex Grassmannian G(2,6) with constant square norm of the second fundamental form

Jie Fei, Jun Wang, Ling He

arxiv:2408.12858 v2 · 2024-08-23 · 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{WTIO2HZ5ZPRORQR2I5ASCLB5CH}

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	2026-07-05T09:20:47.153989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d0ed1f3dcbe2e8c23a4741212c3d11fc16eaedcac688994bbf3220fa2ce728

Aliases

arxiv: 2408.12858 · arxiv_version: 2408.12858v2 · doi: 10.48550/arxiv.2408.12858 · pith_short_12: WTIO2HZ5ZPRO · pith_short_16: WTIO2HZ5ZPRORQR2 · pith_short_8: WTIO2HZ5

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/WTIO2HZ5ZPRORQR2I5ASCLB5CH \
  | 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: b4d0ed1f3dcbe2e8c23a4741212c3d11fc16eaedcac688994bbf3220fa2ce728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cfbba312d871cdd9f6ef54c527c84f2c551a313959de392cdca005c8277cc81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-08-23T05:56:32Z",
    "title_canon_sha256": "003faf96eb521a1da2835c7824d15e6eaf1d4a8c70358de96012738e6caf04d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.12858",
    "kind": "arxiv",
    "version": 2
  }
}