Pith Number

pith:BG7AGDOC

pith:2025:BG7AGDOCWLXDRGYN5IGVUFLCZ5

not attested not anchored not stored refs pending

The Ingleton inequality holds for metacyclic groups and fails for supersoluble groups

David A. Craven

arxiv:2505.22565 v1 · 2025-05-28 · math.GR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BG7AGDOCWLXDRGYN5IGVUFLCZ5}

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	2026-07-05T11:11:26.758076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09be030dc2b2ee389b0dea0d5a1562cf4bde4690d776a71d7e8a4ec8af9f665f

Aliases

arxiv: 2505.22565 · arxiv_version: 2505.22565v1 · doi: 10.48550/arxiv.2505.22565 · pith_short_12: BG7AGDOCWLXD · pith_short_16: BG7AGDOCWLXDRGYN · pith_short_8: BG7AGDOC

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/BG7AGDOCWLXDRGYN5IGVUFLCZ5 \
  | 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: 09be030dc2b2ee389b0dea0d5a1562cf4bde4690d776a71d7e8a4ec8af9f665f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4d29f4a8dd34f697ff939e6fc0536de3b1b9c33f1c875d408bef04c97658143",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-05-28T16:42:48Z",
    "title_canon_sha256": "4929ba992a081af095ead7732e13fcfa60c6679ee5f7a34eb4abe25e0d6bd520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22565",
    "kind": "arxiv",
    "version": 1
  }
}