Pith Number

pith:KJ24NHKA

pith:2018:KJ24NHKA3F3DFCCQHKLH5WQENI

not attested not anchored not stored refs pending

On the Harborth constant of $C_3 \oplus C_{3n}$

Hanane Zerdoum (LAGA), Luz Elimar Marchan (ESPOL), Oscar Ordaz, Philippe Guillot (LAGA), Wolfgang Schmid (LAGA)

arxiv:1808.00722 v1 · 2018-08-02 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJ24NHKA3F3DFCCQHKLH5WQENI}

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	2026-05-18T00:09:03.561384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5275c69d40d9763288503a967eda046a24e6585c3f78b0e29e08a261b9957de9

Aliases

arxiv: 1808.00722 · arxiv_version: 1808.00722v1 · doi: 10.48550/arxiv.1808.00722 · pith_short_12: KJ24NHKA3F3D · pith_short_16: KJ24NHKA3F3DFCCQ · pith_short_8: KJ24NHKA

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/KJ24NHKA3F3DFCCQHKLH5WQENI \
  | 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: 5275c69d40d9763288503a967eda046a24e6585c3f78b0e29e08a261b9957de9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8770c89f1a062274a4b929c3b105369047a496b8bb853a9a99e4441bf1b67c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-02T09:18:56Z",
    "title_canon_sha256": "4613177242a4a37d400b05a9980f0894277a568020db0db7d59fb06956b6679c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00722",
    "kind": "arxiv",
    "version": 1
  }
}