Pith Number

pith:UOEK2QHM

pith:2019:UOEK2QHM4WMZQRQV2HZZJHRDK7

not attested not anchored not stored refs pending

On Covers of Dihedral 2-Groups by Powerful Subgroups

Adam Gregory, Andrew Penland, Luke Guatelli, Risto Atanasov

arxiv:1901.03372 v1 · 2019-01-10 · 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{UOEK2QHM4WMZQRQV2HZZJHRDK7}

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	2026-05-17T23:56:31.432926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a388ad40ece599984615d1f3949e2357ea97c0290b4f6480813bb79d5f059494

Aliases

arxiv: 1901.03372 · arxiv_version: 1901.03372v1 · doi: 10.48550/arxiv.1901.03372 · pith_short_12: UOEK2QHM4WMZ · pith_short_16: UOEK2QHM4WMZQRQV · pith_short_8: UOEK2QHM

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/UOEK2QHM4WMZQRQV2HZZJHRDK7 \
  | 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: a388ad40ece599984615d1f3949e2357ea97c0290b4f6480813bb79d5f059494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e22e0b500ba7675ab9afba73a9350db70264ad7023b0bb4ae2956a347a7ab80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-01-10T20:24:55Z",
    "title_canon_sha256": "007cfdcefd8de361021c2aad8e8b046096944bfdd7221a0b7b9b6b35d10ff6bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03372",
    "kind": "arxiv",
    "version": 1
  }
}