Pith Number

pith:4B5GNEBO

pith:2011:4B5GNEBONSQLPMHFHQR2D5HSOU

not attested not anchored not stored refs pending

Schoen-Yau-Gromov-Lawson theory and isoparametric foliations

Wenjiao Yan, Yuquan Xie, Zizhou Tang

arxiv:1107.5234 v2 · 2011-07-26 · 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{4B5GNEBONSQLPMHFHQR2D5HSOU}

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	2026-05-18T03:47:54.068757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07a66902e6ca0b7b0e53c23a1f4f275165d9273f9529498af0b5430ad154368

Aliases

arxiv: 1107.5234 · arxiv_version: 1107.5234v2 · doi: 10.48550/arxiv.1107.5234 · pith_short_12: 4B5GNEBONSQL · pith_short_16: 4B5GNEBONSQLPMHF · pith_short_8: 4B5GNEBO

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/4B5GNEBONSQLPMHFHQR2D5HSOU \
  | 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: e07a66902e6ca0b7b0e53c23a1f4f275165d9273f9529498af0b5430ad154368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "059fe06badbada9cbaa8ae5e153f8619979e574c46dd334458588c4c703cb220",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-26T15:07:24Z",
    "title_canon_sha256": "11a599941d867fb71fff2e794be6d86811c808f0787498793b134a2b6187baf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5234",
    "kind": "arxiv",
    "version": 2
  }
}