Pith Number

pith:IOOBLKEF

pith:2018:IOOBLKEFW3RE6TDZC7G724TIHC

not attested not anchored not stored refs pending

Finite Groups with a Prescribed Number of Cyclic Subgroups

Joe Dillstrom, Les Reid, Richard Belshoff

arxiv:1806.06090 v1 · 2018-06-15 · 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{IOOBLKEFW3RE6TDZC7G724TIHC}

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	2026-05-18T00:13:03.669473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439c15a885b6e24f4c7917cdfd7268388263936f430da7d22316fd41e2c54e52

Aliases

arxiv: 1806.06090 · arxiv_version: 1806.06090v1 · doi: 10.48550/arxiv.1806.06090 · pith_short_12: IOOBLKEFW3RE · pith_short_16: IOOBLKEFW3RE6TDZ · pith_short_8: IOOBLKEF

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/IOOBLKEFW3RE6TDZC7G724TIHC \
  | 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: 439c15a885b6e24f4c7917cdfd7268388263936f430da7d22316fd41e2c54e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cdf7d8b1496395138ae3c8ca32ff9bd061e48be5347cdf9afd49dbec807786a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-06-15T18:38:02Z",
    "title_canon_sha256": "6aed3982694ef3565bfc2befdec82c5d991e8d3e6667fd1cb8c73afca0d2b8fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06090",
    "kind": "arxiv",
    "version": 1
  }
}