Pith Number

pith:FXK47H2U

pith:2011:FXK47H2U5WLPRJQ6TVW2WLEHCU

not attested not anchored not stored refs pending

A Filtration for Isoparametric Hypersurfaces in Riemannian Manifolds

Jianquan Ge, Wenjiao Yan, Zizhou Tang

arxiv:1102.1126 v2 · 2011-02-06 · 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{FXK47H2U5WLPRJQ6TVW2WLEHCU}

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	2026-05-18T03:04:22.785538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dd5cf9f54ed96f8a61e9d6dab2c871508b5efb086ebbc45a2bfdee99221f665

Aliases

arxiv: 1102.1126 · arxiv_version: 1102.1126v2 · doi: 10.48550/arxiv.1102.1126 · pith_short_12: FXK47H2U5WLP · pith_short_16: FXK47H2U5WLPRJQ6 · pith_short_8: FXK47H2U

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/FXK47H2U5WLPRJQ6TVW2WLEHCU \
  | 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: 2dd5cf9f54ed96f8a61e9d6dab2c871508b5efb086ebbc45a2bfdee99221f665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ea103483f11a9ea03bd384c5fce6c5ce78018aef36f04977291c7584df6a456",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-06T05:37:33Z",
    "title_canon_sha256": "2098bf587f079d7e59e86e96ec433aa4bd57bacb63f2229f877b90858046e2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1126",
    "kind": "arxiv",
    "version": 2
  }
}