Pith Number

pith:IG3KCTQV

pith:2009:IG3KCTQVRSIPKOQRS7JFISOFKX

not attested not anchored not stored refs pending

On Lie algebras associated with representation directed algebras

Justyna Kosakowska, Stanis{\l}aw Kasjan

arxiv:0902.3348 v1 · 2009-02-19 · 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{IG3KCTQVRSIPKOQRS7JFISOFKX}

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	2026-05-18T03:20:06.923978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41b6a14e158c90f53a1197d25449c555cfee59d8d163082d00de20342bde5794

Aliases

arxiv: 0902.3348 · arxiv_version: 0902.3348v1 · doi: 10.48550/arxiv.0902.3348 · pith_short_12: IG3KCTQVRSIP · pith_short_16: IG3KCTQVRSIPKOQR · pith_short_8: IG3KCTQV

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/IG3KCTQVRSIPKOQRS7JFISOFKX \
  | 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: 41b6a14e158c90f53a1197d25449c555cfee59d8d163082d00de20342bde5794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d75ed6f51a84683e66d867532e643a519b9cfa2d415473b8d64ff0a50ff5ddc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-02-19T11:31:42Z",
    "title_canon_sha256": "0e3e10fb6dde23abb3ce01a8121f1fe17e5146d064ff88bd0599dbe116963511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3348",
    "kind": "arxiv",
    "version": 1
  }
}