Pith Number

pith:BLEVDV5X

pith:2026:BLEVDV5XO7BKR7NU7XJYOGK7DF

not attested not anchored not stored refs pending

Nilpotent Lie algebras obtained by ordered sets and Ricci solitons

Shenglin Zhu, Yihao Zheng

arxiv:2606.24569 v1 · 2026-06-23 · math.DG · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLEVDV5XO7BKR7NU7XJYOGK7DF}

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	2026-06-24T01:15:34.160142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac951d7b777c2a8fdb4fdd387195f196b0fc6f8c28d9c8d8d1ea0a0f86e08df

Aliases

arxiv: 2606.24569 · arxiv_version: 2606.24569v1 · doi: 10.48550/arxiv.2606.24569 · pith_short_12: BLEVDV5XO7BK · pith_short_16: BLEVDV5XO7BKR7NU · pith_short_8: BLEVDV5X

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/BLEVDV5XO7BKR7NU7XJYOGK7DF \
  | 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: 0ac951d7b777c2a8fdb4fdd387195f196b0fc6f8c28d9c8d8d1ea0a0f86e08df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aafde4435b80f53ccfa31bd55b59cfe84802bc9d70b03a33303bcfe959df2b6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-23T13:35:09Z",
    "title_canon_sha256": "34f5ce0588fdaa015845ee68e8f161d3488b0db83845be6b7cb79e0f412c82ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24569",
    "kind": "arxiv",
    "version": 1
  }
}