Pith Number

pith:4Q3LY3LE

pith:2015:4Q3LY3LEEZODVDD4MXS7AHLMGP

not attested not anchored not stored refs pending

On focal submanifolds of isoparametric hypersurfaces and Simons formula

Li Zhang, Qichao Li

arxiv:1501.07043 v1 · 2015-01-28 · 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{4Q3LY3LEEZODVDD4MXS7AHLMGP}

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	2026-05-18T02:28:30.453135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e436bc6d64265c3a8c7c65e5f01d6c33d4aac33685f360eef96c5d1b767a0534

Aliases

arxiv: 1501.07043 · arxiv_version: 1501.07043v1 · doi: 10.48550/arxiv.1501.07043 · pith_short_12: 4Q3LY3LEEZOD · pith_short_16: 4Q3LY3LEEZODVDD4 · pith_short_8: 4Q3LY3LE

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/4Q3LY3LEEZODVDD4MXS7AHLMGP \
  | 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: e436bc6d64265c3a8c7c65e5f01d6c33d4aac33685f360eef96c5d1b767a0534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f9e9540d54f1bfeb7b73d537e7b0517ee805c57ac95a41dc38a7bf46e840704",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-01-28T09:34:40Z",
    "title_canon_sha256": "032ea4c35f08cb5de3749ebe503da191ef7cdae88a74be1f2f7f55c0d838415e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07043",
    "kind": "arxiv",
    "version": 1
  }
}