Pith Number

pith:T45EVHVS

pith:2014:T45EVHVSLYKGAYJY6J25R5YBVM

not attested not anchored not stored refs pending

Finite groups and Lie rings with an automorphism of order $2^n$

E. I. Khukhro, N. Yu. Makarenko, P. Shumyatsky

arxiv:1409.7807 v2 · 2014-09-27 · 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{T45EVHVSLYKGAYJY6J25R5YBVM}

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	2026-05-18T02:18:40.804600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f3a4a9eb25e14606138f275d8f701ab2984af252df43076eac1359fb501f94c

Aliases

arxiv: 1409.7807 · arxiv_version: 1409.7807v2 · doi: 10.48550/arxiv.1409.7807 · pith_short_12: T45EVHVSLYKG · pith_short_16: T45EVHVSLYKGAYJY · pith_short_8: T45EVHVS

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/T45EVHVSLYKGAYJY6J25R5YBVM \
  | 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: 9f3a4a9eb25e14606138f275d8f701ab2984af252df43076eac1359fb501f94c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e34ad63db4e75a9244bbe18e19db10767f305b3224c44b980d988bf220d0b67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-27T12:45:04Z",
    "title_canon_sha256": "5563e5636bd1fb10b088019d3048f8067f49a07ba9dcbad36fda3bf49e1418b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7807",
    "kind": "arxiv",
    "version": 2
  }
}