Pith Number

pith:GT5XOO52

pith:2012:GT5XOO52NRS5X7XFBFALH75MI6

not attested not anchored not stored refs pending

On the maximal number of coprime subdegrees in finite primitive permutation groups

Cheryl Praeger, Pablo Spiga, Robert Guralnick, Silvio Dolfi

arxiv:1203.2728 v1 · 2012-03-13 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GT5XOO52NRS5X7XFBFALH75MI6}

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	2026-05-18T04:00:14.770800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34fb773bba6c65dbfee50940b3ffac47b54bc9432a1ed0dc6d26472b614f14e3

Aliases

arxiv: 1203.2728 · arxiv_version: 1203.2728v1 · doi: 10.48550/arxiv.1203.2728 · pith_short_12: GT5XOO52NRS5 · pith_short_16: GT5XOO52NRS5X7XF · pith_short_8: GT5XOO52

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/GT5XOO52NRS5X7XFBFALH75MI6 \
  | 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: 34fb773bba6c65dbfee50940b3ffac47b54bc9432a1ed0dc6d26472b614f14e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1a4ac63320ff43bea699b657ab17e17b9a8b313c66996880bf169d18af9ea26",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-03-13T07:59:47Z",
    "title_canon_sha256": "c185385fe41a2281c244fd69ff7101678371900296c3b22b79fb0906a640162e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2728",
    "kind": "arxiv",
    "version": 1
  }
}