Pith Number

pith:IVMJCKXJ

pith:2021:IVMJCKXJXGPXHG5Z7564OANOI5

not attested not anchored not stored refs pending

Normal $p$-complements and irreducible character codegrees

Boru Zhang, Jiakuan Lu, Yu Li

arxiv:2102.07132 v2 · 2021-02-14 · 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{IVMJCKXJXGPXHG5Z7564OANOI5}

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	2026-07-05T02:32:26.659642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4558912ae9b99f739bb9ff7dc701ae476d9ad13d0f68bb55ffe72f8fe8d9c5ca

Aliases

arxiv: 2102.07132 · arxiv_version: 2102.07132v2 · doi: 10.48550/arxiv.2102.07132 · pith_short_12: IVMJCKXJXGPX · pith_short_16: IVMJCKXJXGPXHG5Z · pith_short_8: IVMJCKXJ

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/IVMJCKXJXGPXHG5Z7564OANOI5 \
  | 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: 4558912ae9b99f739bb9ff7dc701ae476d9ad13d0f68bb55ffe72f8fe8d9c5ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aaf520f9506b9b1e232a0c250da31a9ee8ceaab6f00b0d727252d933e49b545",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-02-14T11:42:00Z",
    "title_canon_sha256": "a68b9975402b7aae7c4de5f34508655f955ae6351f97a4dc0dc7a2b9eef20ae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.07132",
    "kind": "arxiv",
    "version": 2
  }
}