Pith Number

pith:CJ75YCMP

pith:2022:CJ75YCMPRQETWQMCFYWD6PBP5W

not attested not anchored not stored refs pending

Nonsolvable groups with three nonlinear irreducible character codegrees

Dongfang Yang, Yu Zeng

arxiv:2208.07785 v1 · 2022-08-16 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJ75YCMPRQETWQMCFYWD6PBP5W}

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	2026-07-05T04:49:08.913384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

127fdc098f8c093b41822e2c3f3c2fed99c099e7947e697645100761dc09fa37

Aliases

arxiv: 2208.07785 · arxiv_version: 2208.07785v1 · doi: 10.48550/arxiv.2208.07785 · pith_short_12: CJ75YCMPRQET · pith_short_16: CJ75YCMPRQETWQMC · pith_short_8: CJ75YCMP

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/CJ75YCMPRQETWQMCFYWD6PBP5W \
  | 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: 127fdc098f8c093b41822e2c3f3c2fed99c099e7947e697645100761dc09fa37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c40a53949aa9fdf983e8b0e5c85c851c5ea57fb10122aa4ac19b81f2b04c8d4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-08-16T14:54:43Z",
    "title_canon_sha256": "0ed88ba1c7122fc86be0545d704f847047763cfd8c71dc52b58bbc17e928fcfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.07785",
    "kind": "arxiv",
    "version": 1
  }
}