Pith Number

pith:CPKTR3RZ

pith:2019:CPKTR3RZ276JO76LYM7RZOFXWA

not attested not anchored not stored refs pending

Groups with few $p'$-character degrees

Eugenio Giannelli, Mandi Schaeffer Fry, Noelia Rizo

arxiv:1904.06545 v1 · 2019-04-13 · 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{CPKTR3RZ276JO76LYM7RZOFXWA}

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	2026-05-17T23:48:38.876080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13d538ee39d7fc977fcbc33f1cb8b7b0298f03c4d85a8d9c8aab990a738c71db

Aliases

arxiv: 1904.06545 · arxiv_version: 1904.06545v1 · doi: 10.48550/arxiv.1904.06545 · pith_short_12: CPKTR3RZ276J · pith_short_16: CPKTR3RZ276JO76L · pith_short_8: CPKTR3RZ

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/CPKTR3RZ276JO76LYM7RZOFXWA \
  | 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: 13d538ee39d7fc977fcbc33f1cb8b7b0298f03c4d85a8d9c8aab990a738c71db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b04ac1bf13cabd8e9fd14a3bf2df0280dea3277c05ea6b1f91c0b19b6ecea3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-04-13T13:14:10Z",
    "title_canon_sha256": "f3ec41c5530cd6e95c34d2f3e4ab778b69b15f21404a53f0a5f2bde5026d8c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06545",
    "kind": "arxiv",
    "version": 1
  }
}