Pith Number

pith:AG3DBFA4

pith:2026:AG3DBFA4MXFOGBGDEKTAYWMISV

not attested not anchored not stored refs pending

Hypersurfaces of $\mathbb{H}^2\times\mathbb{H}^2$ with constant sectional curvature

Haizhong Li, Luc Vrancken, Xianfeng Wang, Zeke Yao

arxiv:2606.24686 v1 · 2026-06-23 · 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{AG3DBFA4MXFOGBGDEKTAYWMISV}

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	2026-06-24T01:15:39.219853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01b630941c65cae304c322a60c5988956788acdaabd282c353e0d11f15d832fa

Aliases

arxiv: 2606.24686 · arxiv_version: 2606.24686v1 · doi: 10.48550/arxiv.2606.24686 · pith_short_12: AG3DBFA4MXFO · pith_short_16: AG3DBFA4MXFOGBGD · pith_short_8: AG3DBFA4

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/AG3DBFA4MXFOGBGDEKTAYWMISV \
  | 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: 01b630941c65cae304c322a60c5988956788acdaabd282c353e0d11f15d832fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d86dfc3fafe0bd5d7a641b1a4a7530fdfa34df3470463380a0d03a131c9e6cec",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-23T15:16:03Z",
    "title_canon_sha256": "503c16741e5cb262824c5b781aff3502351311cceab2781f0380edb26e65024e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24686",
    "kind": "arxiv",
    "version": 1
  }
}