Pith Number

pith:HTP7CKWN

pith:2018:HTP7CKWNICXCDCKZODSBLYU476

not attested not anchored not stored refs pending

On integers that are covering numbers of groups

Eric Swartz, Luise-Charlotte Kappe, Martino Garonzi

arxiv:1805.09047 v3 · 2018-05-23 · 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{HTP7CKWNICXCDCKZODSBLYU476}

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.

Cited by

1 paper in Pith

On the Intersection Numbers of Finite Groups

Receipt and verification

First computed	2026-05-17T23:59:38.893608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cdff12acd40ae21895970e415e29cff8f037bb3c6709e9fd5cdcc2ad4973c86

Aliases

arxiv: 1805.09047 · arxiv_version: 1805.09047v3 · doi: 10.48550/arxiv.1805.09047 · pith_short_12: HTP7CKWNICXC · pith_short_16: HTP7CKWNICXCDCKZ · pith_short_8: HTP7CKWN

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/HTP7CKWNICXCDCKZODSBLYU476 \
  | 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: 3cdff12acd40ae21895970e415e29cff8f037bb3c6709e9fd5cdcc2ad4973c86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76a9dab0691477a6ef5d3db5830149c2a06c6e0bb7c72a5293c444d1effbdb54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-05-23T10:49:55Z",
    "title_canon_sha256": "04cbce416319415fdbfa0e2873fb8fd944000ed75c08b0e6558801e4c8c292f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09047",
    "kind": "arxiv",
    "version": 3
  }
}