Pith Number

pith:E34BAEBP

pith:2015:E34BAEBPMLE4DZLUSK5QVWCJ2F

not attested not anchored not stored refs pending

On the number of cyclic transitive subgroups of a permutation group

Joachim K\"onig

arxiv:1501.06324 v2 · 2015-01-26 · 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{E34BAEBPMLE4DZLUSK5QVWCJ2F}

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	2026-05-18T02:27:43.836289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26f810102f62c9c1e57492bb0ad849d1777c0adf060012e42d8b4af253d4f6e3

Aliases

arxiv: 1501.06324 · arxiv_version: 1501.06324v2 · doi: 10.48550/arxiv.1501.06324 · pith_short_12: E34BAEBPMLE4 · pith_short_16: E34BAEBPMLE4DZLU · pith_short_8: E34BAEBP

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/E34BAEBPMLE4DZLUSK5QVWCJ2F \
  | 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: 26f810102f62c9c1e57492bb0ad849d1777c0adf060012e42d8b4af253d4f6e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7499985a2665b056b2c991b71adabacd63ab50fec698944248e6c344c52af11d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-26T10:50:36Z",
    "title_canon_sha256": "c5e3a07e5e4555b0a6b45c1c918b8dbaf2e0ac9c43a1febdc366c7936ac0961f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06324",
    "kind": "arxiv",
    "version": 2
  }
}