Pith Number

pith:3HMGHOQF

pith:2011:3HMGHOQF4FGCPTWSVAUCA2GG3F

not attested not anchored not stored refs pending

Indecomposable modules of the intermediate series over W(a,b) algebras

Xiaoqing Yue, Ying Xu, Yucai Su

arxiv:1103.3850 v2 · 2011-03-20 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HMGHOQF4FGCPTWSVAUCA2GG3F}

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	2026-05-18T03:42:21.602686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9d863ba05e14c27ced2a8282068c6d94d74a3e8bc3de405d3279899bc6769ae

Aliases

arxiv: 1103.3850 · arxiv_version: 1103.3850v2 · doi: 10.48550/arxiv.1103.3850 · pith_short_12: 3HMGHOQF4FGC · pith_short_16: 3HMGHOQF4FGCPTWS · pith_short_8: 3HMGHOQF

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/3HMGHOQF4FGCPTWSVAUCA2GG3F \
  | 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: d9d863ba05e14c27ced2a8282068c6d94d74a3e8bc3de405d3279899bc6769ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad25ab7711b8e31837bd02081259ab9427d00ad2dd946d7ef17f7b9c9dd4222e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-03-20T13:58:33Z",
    "title_canon_sha256": "be9f67c9c6430fe257e964232d60817b96218916bb6930691d5e5d9a17d9ba62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3850",
    "kind": "arxiv",
    "version": 2
  }
}