Pith Number

pith:TNAGKQT4

pith:2016:TNAGKQT4WHHGQFZS5KRVN2EYCQ

not attested not anchored not stored refs pending

Almost Engel compact groups

E. I. Khukhro, P. Shumyatsky

arxiv:1610.02079 v2 · 2016-10-06 · 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{TNAGKQT4WHHGQFZS5KRVN2EYCQ}

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	2026-05-18T00:44:33.694804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b4065427cb1ce681732eaa356e898142991267b58295afe5551bd13185ab6cb

Aliases

arxiv: 1610.02079 · arxiv_version: 1610.02079v2 · doi: 10.48550/arxiv.1610.02079 · pith_short_12: TNAGKQT4WHHG · pith_short_16: TNAGKQT4WHHGQFZS · pith_short_8: TNAGKQT4

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/TNAGKQT4WHHGQFZS5KRVN2EYCQ \
  | 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: 9b4065427cb1ce681732eaa356e898142991267b58295afe5551bd13185ab6cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66fc32f289eceb259a7f6351ae9e4bbb3672a8d03d31e04e1468b4ad8131c807",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-06T21:44:54Z",
    "title_canon_sha256": "231e27ee88714ffa9a15bd6d90876395f0258eeb064d38dafc21c5e355014c6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02079",
    "kind": "arxiv",
    "version": 2
  }
}