Pith Number

pith:OO36Q7DO

pith:2025:OO36Q7DOG7633LWGEN4Q2XNFWE

not attested not anchored not stored refs pending

Simple smooth modules over the Lie algebras of polynomial vector fields

Cunguang Cheng, Kaiming Zhao, Rencai Lu, Shiyuan Liu, Yueqiang Zhao, Zhiqiang Li

arxiv:2506.18262 v1 · 2025-06-23 · math.RT · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OO36Q7DOG7633LWGEN4Q2XNFWE}

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	2026-07-05T11:25:47.225680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b7e87c6e37fdbdaec623790d5da5b10d5081f3d48e1f7edc18276858b77bea

Aliases

arxiv: 2506.18262 · arxiv_version: 2506.18262v1 · doi: 10.48550/arxiv.2506.18262 · pith_short_12: OO36Q7DOG763 · pith_short_16: OO36Q7DOG7633LWG · pith_short_8: OO36Q7DO

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/OO36Q7DOG7633LWGEN4Q2XNFWE \
  | 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: 73b7e87c6e37fdbdaec623790d5da5b10d5081f3d48e1f7edc18276858b77bea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d1376c14b746be3c00f0e35b0ad96e1fd27a1f5b044f570692691b7d7f1c49a",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-06-23T03:25:22Z",
    "title_canon_sha256": "c7ae175cf7f45738bee228c01975dc0f57b45b927894db41de7ce0110c42b262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18262",
    "kind": "arxiv",
    "version": 1
  }
}