Pith Number

pith:UKGGFQX4

pith:2005:UKGGFQX4VY3JXKC2QGVRWJWXB6

not attested not anchored not stored refs pending

What can one reconstruct from the representation ring of a compact group?

Zoltan Zimboras

arxiv:math/0512107 v1 · 2005-12-05 · math.GR · math-ph · math.MP · 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{UKGGFQX4VY3JXKC2QGVRWJWXB6}

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	2026-05-18T04:28:55.976188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a28c62c2fcae369ba85a81ab1b26d70f847cf7e292ac458825a7942a6f1d5ab3

Aliases

arxiv: math/0512107 · arxiv_version: math/0512107v1 · doi: 10.48550/arxiv.math/0512107 · pith_short_12: UKGGFQX4VY3J · pith_short_16: UKGGFQX4VY3JXKC2 · pith_short_8: UKGGFQX4

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/UKGGFQX4VY3JXKC2QGVRWJWXB6 \
  | 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: a28c62c2fcae369ba85a81ab1b26d70f847cf7e292ac458825a7942a6f1d5ab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "858451ac93107a4e9ae47078deb76e676ddd7298fa4dd09c10d84300a753cb03",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-12-05T19:38:32Z",
    "title_canon_sha256": "251e9c3a945bf205fcf01320f3a87b69c8e442a7540ef828ce3767a7a3930fca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512107",
    "kind": "arxiv",
    "version": 1
  }
}