Pith Number

pith:HQ4EMR5D

pith:2011:HQ4EMR5DLRNOGSVHW5K6KPKXLB

not attested not anchored not stored refs pending

Classification of Hypersurfaces with Two Distinct Principal Curvatures and Closed Moebius Form in $\mathbb{S}^{m+1}$

Limiao Lin, Zhen Guo

arxiv:1108.3233 v2 · 2011-08-16 · 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{HQ4EMR5DLRNOGSVHW5K6KPKXLB}

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	2026-05-18T02:00:53.264272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c384647a35c5ae34aa7b755e53d575846d27047a85b0cfeabdb7f3be45cf658

Aliases

arxiv: 1108.3233 · arxiv_version: 1108.3233v2 · doi: 10.48550/arxiv.1108.3233 · pith_short_12: HQ4EMR5DLRNO · pith_short_16: HQ4EMR5DLRNOGSVH · pith_short_8: HQ4EMR5D

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/HQ4EMR5DLRNOGSVHW5K6KPKXLB \
  | 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: 3c384647a35c5ae34aa7b755e53d575846d27047a85b0cfeabdb7f3be45cf658

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee48a0d3a4a2f7d4ed8cfd8dfa81c8fd107f3faf0ecc4f385a7a815f078e252e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-16T13:06:33Z",
    "title_canon_sha256": "883bc12e3de028fdf052b49d3b9f4712c9f8d65e5b7a3fe558c69bba7189b396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3233",
    "kind": "arxiv",
    "version": 2
  }
}