Pith Number

pith:S4I4UUXY

pith:2018:S4I4UUXYM7SEGBSVQH7ZU4QAV4

not attested not anchored not stored refs pending

Harborth Constants for Certain Classes of Metacyclic Groups

Noah Kravitz

arxiv:1807.04785 v1 · 2018-07-12 · 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{S4I4UUXYM7SEGBSVQH7ZU4QAV4}

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	2026-05-18T00:10:51.440926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9711ca52f867e443065581ff9a7200af1a3e02ff4a0825dc1746414c09c60d12

Aliases

arxiv: 1807.04785 · arxiv_version: 1807.04785v1 · doi: 10.48550/arxiv.1807.04785 · pith_short_12: S4I4UUXYM7SE · pith_short_16: S4I4UUXYM7SEGBSV · pith_short_8: S4I4UUXY

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/S4I4UUXYM7SEGBSVQH7ZU4QAV4 \
  | 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: 9711ca52f867e443065581ff9a7200af1a3e02ff4a0825dc1746414c09c60d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80340065aa5febb525606e4a05788b44f16fe382d3f362f3e68bfc8c6f56db7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-12T18:52:39Z",
    "title_canon_sha256": "3eaaf74209c4a4a8bd32d8bcc16bbdb9819b2c68081441357dfaca957ddd5118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04785",
    "kind": "arxiv",
    "version": 1
  }
}