Pith Number

pith:JKTCZVQF

pith:2017:JKTCZVQFQYWJDCZQEUJK4YESBZ

not attested not anchored not stored refs pending

Irreducible modules over the divergence zero algebras and their $q$-analogues

Xiangqian Guo, Xuewen Liu, Zhen Wei

arxiv:1709.02972 v1 · 2017-09-09 · 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{JKTCZVQFQYWJDCZQEUJK4YESBZ}

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	2026-05-18T00:35:39.863295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aa62cd605862c918b302512ae60920e64a9eb423323cfbec6b835e5cfd6102e

Aliases

arxiv: 1709.02972 · arxiv_version: 1709.02972v1 · doi: 10.48550/arxiv.1709.02972 · pith_short_12: JKTCZVQFQYWJ · pith_short_16: JKTCZVQFQYWJDCZQ · pith_short_8: JKTCZVQF

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/JKTCZVQFQYWJDCZQEUJK4YESBZ \
  | 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: 4aa62cd605862c918b302512ae60920e64a9eb423323cfbec6b835e5cfd6102e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea893319501684518eafb1c2c49af364254f7f184d8ec30c31a83d731d55ebfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-09T16:19:57Z",
    "title_canon_sha256": "42917d97127df1e92062e9ffa16f58b2db75daea190a2e164daa4a8001297be0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02972",
    "kind": "arxiv",
    "version": 1
  }
}