Pith Number

pith:PB235UWE

pith:2008:PB235UWEBOSTVNMO4PHAOLTFEW

not attested not anchored not stored refs pending

A family of Koszul algebras arising from finite-dimensional representations of simple Lie algebras

Jacob Greenstein, Vyjayanthi Chari

arxiv:0808.1463 v1 · 2008-08-11 · 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{PB235UWEBOSTVNMO4PHAOLTFEW}

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	2026-05-18T03:46:18.840982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7875bed2c40ba53ab58ee3ce072e65259b4d603a4375d91c68aa8e9c54f272a6

Aliases

arxiv: 0808.1463 · arxiv_version: 0808.1463v1 · doi: 10.48550/arxiv.0808.1463 · pith_short_12: PB235UWEBOST · pith_short_16: PB235UWEBOSTVNMO · pith_short_8: PB235UWE

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/PB235UWEBOSTVNMO4PHAOLTFEW \
  | 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: 7875bed2c40ba53ab58ee3ce072e65259b4d603a4375d91c68aa8e9c54f272a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d36fa6383ea5093aa094a23759f01a045289cac7fd6a21cfd35e97dd438ade3",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-08-11T08:22:55Z",
    "title_canon_sha256": "2257dc27cbef5ac33abc120346cbf889755ac4e81d092ad148fa0b436123466e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1463",
    "kind": "arxiv",
    "version": 1
  }
}