Pith Number

pith:SGPNRH5P

pith:2003:SGPNRH5PH35BD2PP3RXCOMXD4F

not attested not anchored not stored refs pending

On varieties of groups in which all periodic groups are abelian

A.M. Storozhev, S.V. Ivanov

arxiv:math/0312492 v1 · 2003-12-29 · 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{SGPNRH5PH35BD2PP3RXCOMXD4F}

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	2026-07-04T14:38:07.675703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

919ed89faf3efa11e9efdc6e2732e3e14093c29980f5cad015c4a5edd8dcdac4

Aliases

arxiv: math/0312492 · arxiv_version: math/0312492v1 · doi: 10.48550/arxiv.math/0312492 · pith_short_12: SGPNRH5PH35B · pith_short_16: SGPNRH5PH35BD2PP · pith_short_8: SGPNRH5P

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/SGPNRH5PH35BD2PP3RXCOMXD4F \
  | 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: 919ed89faf3efa11e9efdc6e2732e3e14093c29980f5cad015c4a5edd8dcdac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce71355e33dfce75e2f540ab0cbafef2389e0ee3b8ba865bfb9f61f0d694e947",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-12-29T21:10:38Z",
    "title_canon_sha256": "43941440ded9a762fbc00be64ec4e7d56da2b32cefe10bd12964ed11987fa642"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312492",
    "kind": "arxiv",
    "version": 1
  }
}