Pith Number

pith:TDUK5LQZ

pith:2014:TDUK5LQZP2ZYD3ZPY2JKHGTCCS

not attested not anchored not stored refs pending

Willmore surfaces in spheres via loop groups II: a coarse classification of Willmore two-spheres by potentials

Peng Wang

arxiv:1412.6737 v2 · 2014-12-21 · 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{TDUK5LQZP2ZYD3ZPY2JKHGTCCS}

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	2026-05-18T01:11:35.397831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98e8aeae197eb381ef2fc692a39a6214be597da7016d1d554c55d012d14d6478

Aliases

arxiv: 1412.6737 · arxiv_version: 1412.6737v2 · doi: 10.48550/arxiv.1412.6737 · pith_short_12: TDUK5LQZP2ZY · pith_short_16: TDUK5LQZP2ZYD3ZP · pith_short_8: TDUK5LQZ

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/TDUK5LQZP2ZYD3ZPY2JKHGTCCS \
  | 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: 98e8aeae197eb381ef2fc692a39a6214be597da7016d1d554c55d012d14d6478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b5ae8a0d1558fc974622cae4c2a2e7c88a99d77b8c50eb5519b87576e18d2ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-21T07:21:50Z",
    "title_canon_sha256": "1c36357a8804734af406ef8b6dceb33aac8747ffdac25892efac0786bca64d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6737",
    "kind": "arxiv",
    "version": 2
  }
}