Pith Number

pith:5YKACELJ

pith:2012:5YKACELJITB2LGVX6NXNTU44BA

not attested not anchored not stored refs pending

Unique factorization of tensor products for Kac-Moody algebras

R. Venkatesh, Sankaran Viswanath

arxiv:1202.0123 v2 · 2012-02-01 · math.RT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YKACELJITB2LGVX6NXNTU44BA}

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	2026-05-18T04:02:03.588019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee1401116944c3a59ab7f36ed9d39c083759a54e30a5ffacf91f2b36128104b3

Aliases

arxiv: 1202.0123 · arxiv_version: 1202.0123v2 · doi: 10.48550/arxiv.1202.0123 · pith_short_12: 5YKACELJITB2 · pith_short_16: 5YKACELJITB2LGVX · pith_short_8: 5YKACELJ

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/5YKACELJITB2LGVX6NXNTU44BA \
  | 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: ee1401116944c3a59ab7f36ed9d39c083759a54e30a5ffacf91f2b36128104b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0938549a3a74ff67e4eb24cc47b8e04e6a4bcdee3933e4d97ebd6793da8e4fc2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-02-01T08:55:35Z",
    "title_canon_sha256": "31dee584779360888868688ef8a459ad2c8e4d7ef1d6812578637a5e9488f346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0123",
    "kind": "arxiv",
    "version": 2
  }
}