Pith Number

pith:UZS2KYXH

pith:2012:UZS2KYXHPT2V7VRZFHP4H4R5EK

not attested not anchored not stored refs pending

Finiteness theorems for equifocal hypersurfaces

Chao Qian, Jianquan Ge, Zizhou Tang

arxiv:1201.2051 v1 · 2012-01-10 · 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{UZS2KYXHPT2V7VRZFHP4H4R5EK}

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	2026-05-18T04:04:54.108230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a665a562e77cf55fd63929dfc3f23d228bd0b0687dceeadd49526023b78210a0

Aliases

arxiv: 1201.2051 · arxiv_version: 1201.2051v1 · doi: 10.48550/arxiv.1201.2051 · pith_short_12: UZS2KYXHPT2V · pith_short_16: UZS2KYXHPT2V7VRZ · pith_short_8: UZS2KYXH

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/UZS2KYXHPT2V7VRZFHP4H4R5EK \
  | 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: a665a562e77cf55fd63929dfc3f23d228bd0b0687dceeadd49526023b78210a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9475390573a5c7c58cedcc6a5ad327fdebb317123b898ef77282168fc8007352",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-10T13:45:20Z",
    "title_canon_sha256": "879e25f104976a6df79879368e5576629baf6e124e8374068620fc9469324f5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2051",
    "kind": "arxiv",
    "version": 1
  }
}