Pith Number

pith:CTGW7BWW

pith:2013:CTGW7BWW3ZHHCP3JY622YD2LIB

not attested not anchored not stored refs pending

Wintgen ideal submanifolds with a low-dimensional integrable distribution (I)

Changping Wang, Tongzhu Li, Xiang Ma

arxiv:1301.4742 v2 · 2013-01-21 · 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{CTGW7BWW3ZHHCP3JY622YD2LIB}

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	2026-05-18T03:35:53.445775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14cd6f86d6de4e713f69c7b5ac0f4b405474df0efaee2942c7a6babd1c047099

Aliases

arxiv: 1301.4742 · arxiv_version: 1301.4742v2 · doi: 10.48550/arxiv.1301.4742 · pith_short_12: CTGW7BWW3ZHH · pith_short_16: CTGW7BWW3ZHHCP3J · pith_short_8: CTGW7BWW

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/CTGW7BWW3ZHHCP3JY622YD2LIB \
  | 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: 14cd6f86d6de4e713f69c7b5ac0f4b405474df0efaee2942c7a6babd1c047099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1167864654a5269fef37b85f0d0f64b9386bf2474fd24bf445c77f982eccb6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-21T03:21:52Z",
    "title_canon_sha256": "636d03303d899a0f36dc8fe8653cd271c25ba1e1d5b3f813deb1dd97056546ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4742",
    "kind": "arxiv",
    "version": 2
  }
}