Pith Number

pith:VKHRRIGM

pith:2015:VKHRRIGMUEEQQY2ZWNQXESWRT5

not attested not anchored not stored refs pending

Almost Engel finite and profinite groups

E. I. Khukhro, P. Shumyatsky

arxiv:1512.06097 v2 · 2015-12-18 · 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{VKHRRIGMUEEQQY2ZWNQXESWRT5}

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	2026-05-18T01:13:09.513889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa8f18a0cca109086359b361724ad19f5acf8119f23f5f6127e60b42a80a4d9f

Aliases

arxiv: 1512.06097 · arxiv_version: 1512.06097v2 · doi: 10.48550/arxiv.1512.06097 · pith_short_12: VKHRRIGMUEEQ · pith_short_16: VKHRRIGMUEEQQY2Z · pith_short_8: VKHRRIGM

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/VKHRRIGMUEEQQY2ZWNQXESWRT5 \
  | 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: aa8f18a0cca109086359b361724ad19f5acf8119f23f5f6127e60b42a80a4d9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb80d36e372ba6dec10638510c05f3538062b4bf45f434abd681949df4792ffe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-18T20:21:14Z",
    "title_canon_sha256": "2d3255c7ab91c87dd3002e1826567be761af9a6909529b9f3887f9652064d88a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06097",
    "kind": "arxiv",
    "version": 2
  }
}