Pith Number

pith:NX64PK77

pith:2026:NX64PK77LS3UQNGIGTRSEEJGD4

not attested not anchored not stored refs pending

Generalized quaternion NCI-groups, NNN-groups and NNND-groups

Jia-Li Du, Jun-Feng Yang, Yan-Quan Feng, Young Soo Kwon

arxiv:2605.20658 v1 · 2026-05-20 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NX64PK77LS3UQNGIGTRSEEJGD4}

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	2026-05-21T01:04:47.426173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dfdc7abff5cb74834c834e32211261f0d1df077e398a9af3f580ff6d8e11ec6

Aliases

arxiv: 2605.20658 · arxiv_version: 2605.20658v1 · doi: 10.48550/arxiv.2605.20658 · pith_short_12: NX64PK77LS3U · pith_short_16: NX64PK77LS3UQNGI · pith_short_8: NX64PK77

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/NX64PK77LS3UQNGIGTRSEEJGD4 \
  | 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: 6dfdc7abff5cb74834c834e32211261f0d1df077e398a9af3f580ff6d8e11ec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2853388742ed32089a59f68b01171ae87daf3b822f72cd695d9b7d11d61247c4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-20T03:23:36Z",
    "title_canon_sha256": "c936b8b2b4d094839fef6737f08c428f2a0dd1c38c7f6dcfecf6e4fd719b2c19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20658",
    "kind": "arxiv",
    "version": 1
  }
}