Pith Number

pith:GXALBFHZ

pith:2016:GXALBFHZEEPYMHZQQ37O35EMSV

not attested not anchored not stored refs pending

Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups

Gerald Williams, W.A.Bogley

arxiv:1606.00216 v1 · 2016-06-01 · 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{GXALBFHZEEPYMHZQQ37O35EMSV}

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	2026-05-18T01:13:05.734085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35c0b094f9211f861f3086feedf48c9548dc9beac166e5136e6c17d1d78a69ce

Aliases

arxiv: 1606.00216 · arxiv_version: 1606.00216v1 · doi: 10.48550/arxiv.1606.00216 · pith_short_12: GXALBFHZEEPY · pith_short_16: GXALBFHZEEPYMHZQ · pith_short_8: GXALBFHZ

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/GXALBFHZEEPYMHZQQ37O35EMSV \
  | 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: 35c0b094f9211f861f3086feedf48c9548dc9beac166e5136e6c17d1d78a69ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "197a6fc6925b19004139112d5a737bebe20c1468b15c1459b4117db5be394655",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-01T10:54:38Z",
    "title_canon_sha256": "dccbbe738c351edd32d8827a9e3e911a9fa1760aa7f082b579e561bda36a304e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00216",
    "kind": "arxiv",
    "version": 1
  }
}