Pith Number

pith:5I7HMCX3

pith:2024:5I7HMCX3ZMKT7RVMMER6UUWB2T

not attested not anchored not stored refs pending

Finite simple groups have many classes of $p$-elements

Cheryl E. Praeger, Luke Morgan, Michael Giudici

arxiv:2411.18863 v1 · 2024-11-28 · 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{5I7HMCX3ZMKT7RVMMER6UUWB2T}

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	2026-07-05T11:10:33.536351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea3e760afbcb153fc6ac6123ea52c1d4c27773796524e900110932d64416eec1

Aliases

arxiv: 2411.18863 · arxiv_version: 2411.18863v1 · doi: 10.48550/arxiv.2411.18863 · pith_short_12: 5I7HMCX3ZMKT · pith_short_16: 5I7HMCX3ZMKT7RVM · pith_short_8: 5I7HMCX3

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/5I7HMCX3ZMKT7RVMMER6UUWB2T \
  | 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: ea3e760afbcb153fc6ac6123ea52c1d4c27773796524e900110932d64416eec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f898af28d12212b97decbce73dc008bd5f67112a50a278a16c90d0331c5c288",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-11-28T02:06:07Z",
    "title_canon_sha256": "9f86c5f3fc7eccac9761519df2fa9b04aa1f753f974845f3a8d7fca22a934a23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18863",
    "kind": "arxiv",
    "version": 1
  }
}