Pith Number

pith:WV2VF5WE

pith:2018:WV2VF5WEZ6QIPIF4Y5OHJ46B5D

not attested not anchored not stored refs pending

An abundance of simple left braces with abelian multiplicative Sylow subgroups

Eric Jespers, Ferran Ced\'o, Jan Okni\'nski

arxiv:1807.06408 v1 · 2018-07-17 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WV2VF5WEZ6QIPIF4Y5OHJ46B5D}

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	2026-05-18T00:10:33.146775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b57552f6c4cfa087a0bcc75c74f3c1e8db38e8e40708eadfee83ffbeb7964b77

Aliases

arxiv: 1807.06408 · arxiv_version: 1807.06408v1 · doi: 10.48550/arxiv.1807.06408 · pith_short_12: WV2VF5WEZ6QI · pith_short_16: WV2VF5WEZ6QIPIF4 · pith_short_8: WV2VF5WE

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/WV2VF5WEZ6QIPIF4Y5OHJ46B5D \
  | 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: b57552f6c4cfa087a0bcc75c74f3c1e8db38e8e40708eadfee83ffbeb7964b77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11be964ff6deca82aa8fe6556c38a71f5e0897b84fb78fa2dbc0437380ae71ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-07-17T13:22:33Z",
    "title_canon_sha256": "e7bc70c1b26ca1821a19982c3e2976db06c470aedd29a6db826e2614f3b3e305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06408",
    "kind": "arxiv",
    "version": 1
  }
}