Pith Number

pith:GCJEA6W6

pith:2020:GCJEA6W6E4RFIUICXJYK2HO3YC

not attested not anchored not stored refs pending

Extension of elementary $p$-groups and its application in classification of groups of prime exponent

Chi Zhang, Yu Ye, Zheyan Wan

arxiv:2003.12802 v1 · 2020-03-28 · 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{GCJEA6W6E4RFIUICXJYK2HO3YC}

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	2026-07-05T00:51:10.052543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3092407ade2722545102ba70ad1ddbc0a808d92b4153b0412b86fa5d803daee0

Aliases

arxiv: 2003.12802 · arxiv_version: 2003.12802v1 · doi: 10.48550/arxiv.2003.12802 · pith_short_12: GCJEA6W6E4RF · pith_short_16: GCJEA6W6E4RFIUIC · pith_short_8: GCJEA6W6

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/GCJEA6W6E4RFIUICXJYK2HO3YC \
  | 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: 3092407ade2722545102ba70ad1ddbc0a808d92b4153b0412b86fa5d803daee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad4fd7e891792886ea8010db5ade92fe13b0ec3511f862d5a232e66ab352698",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-03-28T14:52:10Z",
    "title_canon_sha256": "7cad0cb00d351366555af5c19f1e5a1e7adf6d4911f029a24c9adbc516d23f1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.12802",
    "kind": "arxiv",
    "version": 1
  }
}