Pith Number

pith:ZHUKLXQO

pith:2011:ZHUKLXQORTWR456O2QSHAKWQWW

not attested not anchored not stored refs pending

On four-dimensional anti-self-dual gradient Ricci solitons

Xiuxiong Chen, Yuanqi Wang

arxiv:1102.0358 v2 · 2011-02-02 · 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{ZHUKLXQORTWR456O2QSHAKWQWW}

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	2026-05-18T04:29:55.228057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e8a5de0e8ced1e77ced424702ad0b5a89a10b242c2435bf801b8e19f7f424d

Aliases

arxiv: 1102.0358 · arxiv_version: 1102.0358v2 · doi: 10.48550/arxiv.1102.0358 · pith_short_12: ZHUKLXQORTWR · pith_short_16: ZHUKLXQORTWR456O · pith_short_8: ZHUKLXQO

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/ZHUKLXQORTWR456O2QSHAKWQWW \
  | 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: c9e8a5de0e8ced1e77ced424702ad0b5a89a10b242c2435bf801b8e19f7f424d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "665089b04dddfbfa987b8b394898ab207be078f9cd658c8a932c4e0487afd9e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-02T04:32:37Z",
    "title_canon_sha256": "d31d357c99c2acdcc6955f1cb7d23b0991cd520ca125d857bcdf9c1fa8892e3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0358",
    "kind": "arxiv",
    "version": 2
  }
}