Pith Number

pith:ZT3ID2TK

pith:2016:ZT3ID2TKJEOJRG7XYYVEUOK2WF

not attested not anchored not stored refs pending

The number of composition factors of order $p$ in completely reducible groups of characteristic $p$

Cai Heng Li, Gabriel Verret, Michael Giudici, S. P. Glasby

arxiv:1602.07829 v4 · 2016-02-25 · 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{ZT3ID2TKJEOJRG7XYYVEUOK2WF}

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	2026-05-18T00:38:21.418873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf681ea6a491c989bf7c62a4a395ab17a040526e5cabda895ea6bb3f715b0ab

Aliases

arxiv: 1602.07829 · arxiv_version: 1602.07829v4 · doi: 10.48550/arxiv.1602.07829 · pith_short_12: ZT3ID2TKJEOJ · pith_short_16: ZT3ID2TKJEOJRG7X · pith_short_8: ZT3ID2TK

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/ZT3ID2TKJEOJRG7XYYVEUOK2WF \
  | 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: ccf681ea6a491c989bf7c62a4a395ab17a040526e5cabda895ea6bb3f715b0ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c115866c8db9b5d4147e7fb6ba816f56faa82f14090c2eb1c7be577098d0581",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-02-25T07:35:56Z",
    "title_canon_sha256": "865aa8b84e47cee3588c1bb1a59896ebb56f6243d163c6760116c0fe933ac302"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07829",
    "kind": "arxiv",
    "version": 4
  }
}