Pith Number

pith:VUB6SK5T

pith:1996:VUB6SK5TPSKT2LGREOZXEXROJR

not attested not anchored not stored refs pending

On Root Multiplicities of Some Hyperbolic Kac-Moody Algebras

Denis Bernard, Michel Bauer

arxiv:hep-th/9612210 v1 · 1996-12-20 · hep-th · math.QA · q-alg

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUB6SK5TPSKT2LGREOZXEXROJR}

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.

Cited by

1 paper in Pith

From Tensor Algebras to Hyperbolic Kac-Moody Algebras

Receipt and verification

First computed	2026-07-04T15:27:29.442475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad03e92bb37c953d2cd123b3725e2e4c589541b762a746019421ae8f1ee5b29e

Aliases

arxiv: hep-th/9612210 · arxiv_version: hep-th/9612210v1 · doi: 10.48550/arxiv.hep-th/9612210 · pith_short_12: VUB6SK5TPSKT · pith_short_16: VUB6SK5TPSKT2LGR · pith_short_8: VUB6SK5T

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/VUB6SK5TPSKT2LGREOZXEXROJR \
  | 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: ad03e92bb37c953d2cd123b3725e2e4c589541b762a746019421ae8f1ee5b29e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc5500bae85c1b3a02850f11b164e8734368652d4914a07ea20066ca82704baa",
    "cross_cats_sorted": [
      "math.QA",
      "q-alg"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-12-20T10:48:06Z",
    "title_canon_sha256": "017a36761b127b3aaea3406be979022c2c0231733e1da9cc2828e9eae2e26ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9612210",
    "kind": "arxiv",
    "version": 1
  }
}