Pith Number

pith:6WYLNBBH

pith:2014:6WYLNBBHJMLRX5UESI3TCW6AVH

not attested not anchored not stored refs pending

Finite metacyclic groups as active sums of cyclic subgroups

Alejandro D\'iaz-Barriga, Francisco Gonz\'alez-Acu\~na, Franciso Marmolejo, Nadia Romero

arxiv:1401.1980 v2 · 2014-01-09 · 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{6WYLNBBHJMLRX5UESI3TCW6AVH}

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	2026-05-18T02:52:34.062188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5b0b684274b171bf6849237315bc0a9fdd7ea3df1f07c9f656389ab4cbad5e0

Aliases

arxiv: 1401.1980 · arxiv_version: 1401.1980v2 · doi: 10.48550/arxiv.1401.1980 · pith_short_12: 6WYLNBBHJMLR · pith_short_16: 6WYLNBBHJMLRX5UE · pith_short_8: 6WYLNBBH

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/6WYLNBBHJMLRX5UESI3TCW6AVH \
  | 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: f5b0b684274b171bf6849237315bc0a9fdd7ea3df1f07c9f656389ab4cbad5e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aad44193be2703e190a93385472911e10be64a732b51aa4baf5e3655b808150",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-01-09T12:23:26Z",
    "title_canon_sha256": "246c497adc4fc7eb01c00cedd72539f433c1a40a6036852daeb5e4ae4c209cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1980",
    "kind": "arxiv",
    "version": 2
  }
}