Pith Number

pith:ZGXCSOT2

pith:2016:ZGXCSOT247CYVBPMPS4SE6WEOC

not attested not anchored not stored refs pending

Generators of split extensions of Abelian groups by cyclic groups

Luc Guyot

arxiv:1604.08896 v6 · 2016-04-29 · 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{ZGXCSOT247CYVBPMPS4SE6WEOC}

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	2026-05-18T00:12:40.955628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9ae293a7ae7c58a85ec7cb9227ac47082efef16a04fb56923b46a325d592237

Aliases

arxiv: 1604.08896 · arxiv_version: 1604.08896v6 · doi: 10.48550/arxiv.1604.08896 · pith_short_12: ZGXCSOT247CY · pith_short_16: ZGXCSOT247CYVBPM · pith_short_8: ZGXCSOT2

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/ZGXCSOT247CYVBPMPS4SE6WEOC \
  | 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: c9ae293a7ae7c58a85ec7cb9227ac47082efef16a04fb56923b46a325d592237

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c44640867d2d903b5fb0942d8e10196840b75cd37f50d30ddd82dc1a80577f44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-04-29T16:04:24Z",
    "title_canon_sha256": "3bfdccb2d401561d546373c789d1072599a4113d655ecd4ffba4f2d00b71488b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08896",
    "kind": "arxiv",
    "version": 6
  }
}