Pith Number

pith:T27GSMQ2

pith:2006:T27GSMQ2UIRMA4CZKYL25INBGB

not attested not anchored not stored refs pending

Abelian groups with a $p^2$-bounded subgroup, revisited

Carla Petroro, Markus Schmidmeier

arxiv:math/0605664 v2 · 2006-05-25 · math.GR · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T27GSMQ2UIRMA4CZKYL25INBGB}

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	2026-05-17T23:42:09.228066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ebe69321aa222c070595617aea1a1305d79ff51adc4cf4d88b1ce0d3786fee1

Aliases

arxiv: math/0605664 · arxiv_version: math/0605664v2 · doi: 10.48550/arxiv.math/0605664 · pith_short_12: T27GSMQ2UIRM · pith_short_16: T27GSMQ2UIRMA4CZ · pith_short_8: T27GSMQ2

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/T27GSMQ2UIRMA4CZKYL25INBGB \
  | 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: 9ebe69321aa222c070595617aea1a1305d79ff51adc4cf4d88b1ce0d3786fee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73daadde40e689bac1b16fda829081849040efd780cfa4c6375af4fc0d829365",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-05-25T16:13:07Z",
    "title_canon_sha256": "49cfe8b4999aa21114b4f1320daa2a7a972feba786cff8565755c40b461945fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605664",
    "kind": "arxiv",
    "version": 2
  }
}