Pith Number

pith:3IUKDBMT

pith:2012:3IUKDBMTGL37XRRA2VQSYXOGAH

not attested not anchored not stored refs pending

Dominant weight multiplicities in hybrid characters of Bn, Cn, F4, G2

Francis W. Lemire, Jiri Patera, Marzena Szajewska

arxiv:1205.0904 v3 · 2012-05-04 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IUKDBMTGL37XRRA2VQSYXOGAH}

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	2026-05-18T02:43:54.535176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da28a1859332f7fbc620d5612c5dc601efc168dbf8af8fb82865dae3938fb6cb

Aliases

arxiv: 1205.0904 · arxiv_version: 1205.0904v3 · doi: 10.48550/arxiv.1205.0904 · pith_short_12: 3IUKDBMTGL37 · pith_short_16: 3IUKDBMTGL37XRRA · pith_short_8: 3IUKDBMT

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/3IUKDBMTGL37XRRA2VQSYXOGAH \
  | 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: da28a1859332f7fbc620d5612c5dc601efc168dbf8af8fb82865dae3938fb6cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e0dbda1cf6a1ac294094015f6d7f8b5320a0d0ca5820871c8bc20dd2a05037d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-04T10:25:28Z",
    "title_canon_sha256": "6b0f8275dd1c6cd04d3b5526c7b04a9a3ccdf1d5b55f44fb514fc5aecd37c4bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0904",
    "kind": "arxiv",
    "version": 3
  }
}