Pith Number

pith:CJ4RAJOL

pith:2015:CJ4RAJOLRYT2NSBRQERZRSVHHY

not attested not anchored not stored refs pending

Weyl modules associated to Kac-Moody Lie algebras

Sachin S. Sharma, S. Eswara Rao, V. Futorny

arxiv:1501.04802 v1 · 2015-01-20 · 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{CJ4RAJOLRYT2NSBRQERZRSVHHY}

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	2026-05-18T02:29:02.241757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12791025cb8e27a6c831812398caa73e1890fecfc903205c216439d5445a63b3

Aliases

arxiv: 1501.04802 · arxiv_version: 1501.04802v1 · doi: 10.48550/arxiv.1501.04802 · pith_short_12: CJ4RAJOLRYT2 · pith_short_16: CJ4RAJOLRYT2NSBR · pith_short_8: CJ4RAJOL

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/CJ4RAJOLRYT2NSBRQERZRSVHHY \
  | 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: 12791025cb8e27a6c831812398caa73e1890fecfc903205c216439d5445a63b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3697ff443d6d7374dbeb4e7c26018852999d241548a5a1096cf83b34d6934e1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-01-20T13:32:25Z",
    "title_canon_sha256": "64711dd6ee3715dfb5d6c8c11ce001147450af96b69d0ae391345b22cf2e2c13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04802",
    "kind": "arxiv",
    "version": 1
  }
}