Pith Number

pith:KZVV6KKQ

pith:2019:KZVV6KKQMUOXIBMEZZ4G26BBZL

not attested not anchored not stored refs pending

A polynomial bound for the number of maximal systems of imprimitivity of a finite transitive permutation group

Andrea Lucchini, Mariapia Moscatiello, Pablo Spiga

arxiv:1907.08477 v1 · 2019-07-19 · 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{KZVV6KKQMUOXIBMEZZ4G26BBZL}

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	2026-05-17T23:40:09.726780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

566b5f2950651d740584ce786d7821cadd97cd9c8d846ad6fab239002888bc32

Aliases

arxiv: 1907.08477 · arxiv_version: 1907.08477v1 · doi: 10.48550/arxiv.1907.08477 · pith_short_12: KZVV6KKQMUOX · pith_short_16: KZVV6KKQMUOXIBME · pith_short_8: KZVV6KKQ

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/KZVV6KKQMUOXIBMEZZ4G26BBZL \
  | 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: 566b5f2950651d740584ce786d7821cadd97cd9c8d846ad6fab239002888bc32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4c0a87391c2fc8e3c17dc0ecd77b5e826aa8cf879796722f5a5ea52a368ce99",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-07-19T12:12:46Z",
    "title_canon_sha256": "18387cc0135b26b70631c251db5ddcc3080ef538b54569d054b0fe59a22d2490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08477",
    "kind": "arxiv",
    "version": 1
  }
}