Pith Number

pith:CTT5DG4T

pith:2026:CTT5DG4TXBEBA2SAA32NGBCUS4

not attested not anchored not stored refs pending

A Finite E-Group of Nilpotency Class Three

Tailin Wu, Wenhao Deng, Xinan Dai, Yidong Shi, Yuchen Yang

arxiv:2608.07275 v1 · 2026-08-07 · math.GR · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTT5DG4TXBEBA2SAA32NGBCUS4}

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	2026-08-10T01:14:49.962414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e7d19b93b848106a4006f4d30454973483ffe4a6f3e257f44e768310596caf

Aliases

arxiv: 2608.07275 · arxiv_version: 2608.07275v1 · doi: 10.48550/arxiv.2608.07275 · pith_short_12: CTT5DG4TXBEB · pith_short_16: CTT5DG4TXBEBA2SA · pith_short_8: CTT5DG4T

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/CTT5DG4TXBEBA2SAA32NGBCUS4 \
  | 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: 14e7d19b93b848106a4006f4d30454973483ffe4a6f3e257f44e768310596caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ce8012832beacf4eb52c6708e1b387bb49a79db77d42d5a5e3d2950c529916",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-07T14:34:46Z",
    "title_canon_sha256": "31e7159217ac66fc9a922938c809ce5cc09ae793606da04dedd15ece831c046d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07275",
    "kind": "arxiv",
    "version": 1
  }
}