Pith Number

pith:BOP3WJJR

pith:2018:BOP3WJJR5JJOXV7PLRDIRMIU3W

not attested not anchored not stored refs pending

On Commuting Graphs of Generalized Dihedral Groups

Gopal Singh Rawat, Vipul Kakkar

arxiv:1806.03614 v1 · 2018-06-10 · 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{BOP3WJJR5JJOXV7PLRDIRMIU3W}

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	2026-05-18T00:13:42.728719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b9fbb2531ea52ebd7ef5c4688b114dd9ac85302a2e642b96aeaa0680766a0d6

Aliases

arxiv: 1806.03614 · arxiv_version: 1806.03614v1 · doi: 10.48550/arxiv.1806.03614 · pith_short_12: BOP3WJJR5JJO · pith_short_16: BOP3WJJR5JJOXV7P · pith_short_8: BOP3WJJR

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/BOP3WJJR5JJOXV7PLRDIRMIU3W \
  | 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: 0b9fbb2531ea52ebd7ef5c4688b114dd9ac85302a2e642b96aeaa0680766a0d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a977f0f6a1b36b69fa15ffe4aebc0f2e1a8d952c6f54ab86f30f142e74d5eee5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-10T08:59:41Z",
    "title_canon_sha256": "e9503cd8f328460588f133cd1c4a57037551d747a83d9f06623d904289903bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03614",
    "kind": "arxiv",
    "version": 1
  }
}