Pith Number

pith:WGAFL4ML

pith:2012:WGAFL4MLTXZEVY2RK4KE6Z7TXC

not attested not anchored not stored refs pending

Integrable modules for Lie Torus

Sachin S. Sharma, S. Eswara Rao

arxiv:1206.6609 v2 · 2012-06-28 · 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{WGAFL4MLTXZEVY2RK4KE6Z7TXC}

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	2026-05-18T02:28:48.453388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b18055f18b9df24ae35157144f67f3b8a13698e86bfc8862449ee04eb5ed1d8a

Aliases

arxiv: 1206.6609 · arxiv_version: 1206.6609v2 · doi: 10.48550/arxiv.1206.6609 · pith_short_12: WGAFL4MLTXZE · pith_short_16: WGAFL4MLTXZEVY2R · pith_short_8: WGAFL4ML

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/WGAFL4MLTXZEVY2RK4KE6Z7TXC \
  | 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: b18055f18b9df24ae35157144f67f3b8a13698e86bfc8862449ee04eb5ed1d8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "841b2f76b812242031842a280dbc1b1b4245ba6c6d5782aaa34b6fff6f1adb66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-06-28T09:50:01Z",
    "title_canon_sha256": "065175db0a97a7be53ca7420438c6a8890899dbbec02b54f29296f832ef8e24e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6609",
    "kind": "arxiv",
    "version": 2
  }
}