Pith Number

pith:TMARYS54

pith:2016:TMARYS54TH6SPRVJWABWI5SEPO

not attested not anchored not stored refs pending

A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are d-generated

Andrea Lucchini

arxiv:1603.08098 v1 · 2016-03-26 · 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{TMARYS54TH6SPRVJWABWI5SEPO}

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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	2026-05-18T01:18:13.281180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b011c4bbc99fd27c6a9b0036476447bac666b96910286f75be02a2b71bb140c

Aliases

arxiv: 1603.08098 · arxiv_version: 1603.08098v1 · doi: 10.48550/arxiv.1603.08098 · pith_short_12: TMARYS54TH6S · pith_short_16: TMARYS54TH6SPRVJ · pith_short_8: TMARYS54

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/TMARYS54TH6SPRVJWABWI5SEPO \
  | 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: 9b011c4bbc99fd27c6a9b0036476447bac666b96910286f75be02a2b71bb140c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73fc45927171229c15f01699613bcbcb97d85f91e00c48ecc725aac22594edac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-26T10:19:32Z",
    "title_canon_sha256": "4fb86a40a9389790f77389024075bee72a0b7dc343a564127c3f80457ea72e7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08098",
    "kind": "arxiv",
    "version": 1
  }
}