Pith Number

pith:7CZQYVXB

pith:2026:7CZQYVXBTUJMZWIQRUBCOLCZSD

not attested not anchored not stored refs pending

Codegrees of Irreducible Characters of VZ and Camina $p$-Groups

Ayush Udeep

arxiv:2605.24864 v1 · 2026-05-24 · math.GR · 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{7CZQYVXBTUJMZWIQRUBCOLCZSD}

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	2026-05-26T01:04:02.310983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8b30c56e19d12ccd9108d02272c5990dacbe0e862b306cf9ba30b8dcd8dcafa

Aliases

arxiv: 2605.24864 · arxiv_version: 2605.24864v1 · doi: 10.48550/arxiv.2605.24864 · pith_short_12: 7CZQYVXBTUJM · pith_short_16: 7CZQYVXBTUJMZWIQ · pith_short_8: 7CZQYVXB

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/7CZQYVXBTUJMZWIQRUBCOLCZSD \
  | 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: f8b30c56e19d12ccd9108d02272c5990dacbe0e862b306cf9ba30b8dcd8dcafa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1e28c82526e16e589b6f73f320d9ffe6f68bff2fc7be39237d7bc930987d253",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-24T04:49:09Z",
    "title_canon_sha256": "301796b29151373145e3a2b6489683cb2a6189bd665862d8b5866a2f0680ec0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24864",
    "kind": "arxiv",
    "version": 1
  }
}