Pith Number

pith:6QSXPFQ4

pith:2011:6QSXPFQ4RZZJWYQC43W3VF55CA

not attested not anchored not stored refs pending

New examples of Willmore submanifolds in the unit sphere via isoparametric functions

Wenjiao Yan, Zizhou Tang

arxiv:1110.3557 v2 · 2011-10-17 · 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{6QSXPFQ4RZZJWYQC43W3VF55CA}

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	2026-05-18T03:59:49.354069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f42577961c8e729b6202e6edba97bd100b1a236d9025e5b52a08828dc35eebba

Aliases

arxiv: 1110.3557 · arxiv_version: 1110.3557v2 · doi: 10.48550/arxiv.1110.3557 · pith_short_12: 6QSXPFQ4RZZJ · pith_short_16: 6QSXPFQ4RZZJWYQC · pith_short_8: 6QSXPFQ4

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/6QSXPFQ4RZZJWYQC43W3VF55CA \
  | 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: f42577961c8e729b6202e6edba97bd100b1a236d9025e5b52a08828dc35eebba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f10fe2aed7fb992d32aa3e93c6a8f7c8f1ded2342cefd0de383e4beaf4d976",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-17T02:11:23Z",
    "title_canon_sha256": "bceb4cc64db54664050c0d1a8fdd4c8c36f3eb17e458b97affec11393914d943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3557",
    "kind": "arxiv",
    "version": 2
  }
}