Pith Number

pith:YVPYVEQZ

pith:2026:YVPYVEQZ6Z4HJRCEUEVYZP6STF

not attested not anchored not stored refs pending

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements

Michael Ruofan Zeng, Ting Gong, Yong Yang

arxiv:2608.00703 v1 · 2026-08-01 · 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{YVPYVEQZ6Z4HJRCEUEVYZP6STF}

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.

Cited by

1 paper in Pith

The structure of finite groups invariably generated by two elements of prime order

Receipt and verification

First computed	2026-08-04T01:54:47.445524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c55f8a9219f67874c444a12b8cbfd2996a7850d211491e70757ba0ee8de7af9c

Aliases

arxiv: 2608.00703 · arxiv_version: 2608.00703v1 · doi: 10.48550/arxiv.2608.00703 · pith_short_12: YVPYVEQZ6Z4H · pith_short_16: YVPYVEQZ6Z4HJRCE · pith_short_8: YVPYVEQZ

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/YVPYVEQZ6Z4HJRCEUEVYZP6STF \
  | 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: c55f8a9219f67874c444a12b8cbfd2996a7850d211491e70757ba0ee8de7af9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12a39d80a7b8d66ae2822f0364da383729ba34f81ffdb90df2bc257dbdac94fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-01T15:04:19Z",
    "title_canon_sha256": "bfb7059f8e9fb291d7c57b4d75ffdd843567c44820e62468f53378521f47be0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00703",
    "kind": "arxiv",
    "version": 1
  }
}