Pith Number

pith:7OLAG764

pith:2012:7OLAG764GWF5KF6K2NXKAOJRYD

not attested not anchored not stored refs pending

An inequality detecting nilpotency of finite groups

Marius T\u{a}rn\u{a}uceanu, Tom De Medts

arxiv:1207.1020 v2 · 2012-07-04 · 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{7OLAG764GWF5KF6K2NXKAOJRYD}

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	2026-05-18T03:39:28.437545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb96037fdc358bd517cad36ea03931c0ddeb6dc65bcbe95611b8dead39e4c7df

Aliases

arxiv: 1207.1020 · arxiv_version: 1207.1020v2 · doi: 10.48550/arxiv.1207.1020 · pith_short_12: 7OLAG764GWF5 · pith_short_16: 7OLAG764GWF5KF6K · pith_short_8: 7OLAG764

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/7OLAG764GWF5KF6K2NXKAOJRYD \
  | 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: fb96037fdc358bd517cad36ea03931c0ddeb6dc65bcbe95611b8dead39e4c7df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb4742006c990f8401d1909c07dc54258e59b88f71579f305c9a1e5723584bfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-07-04T15:12:37Z",
    "title_canon_sha256": "136ea4a64ee6ca3ceb946027b109525f22ad5deee797cb5542cd1cd4ba1b308e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1020",
    "kind": "arxiv",
    "version": 2
  }
}