Pith Number

pith:LWQQGSSL

pith:2018:LWQQGSSLPLC7E24UFCO3ZQQ54L

not attested not anchored not stored refs pending

Centralizers of normal subsystems revisited

Ellen Henke

arxiv:1801.05256 v2 · 2018-01-16 · 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{LWQQGSSLPLC7E24UFCO3ZQQ54L}

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	2026-05-18T00:11:32.280844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5da1034a4b7ac5f26b94289dbcc21de2fec6eadeae0c2ac07cd13c852245efea

Aliases

arxiv: 1801.05256 · arxiv_version: 1801.05256v2 · doi: 10.48550/arxiv.1801.05256 · pith_short_12: LWQQGSSLPLC7 · pith_short_16: LWQQGSSLPLC7E24U · pith_short_8: LWQQGSSL

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/LWQQGSSLPLC7E24UFCO3ZQQ54L \
  | 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: 5da1034a4b7ac5f26b94289dbcc21de2fec6eadeae0c2ac07cd13c852245efea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "898faf208ea0c3d33458967cd039de6db82783b4ebf732d43d19a0182a897550",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-01-16T13:44:22Z",
    "title_canon_sha256": "baf84d77ccbd017486aabce4457a66a7ed9477beb9cb6c65966cb0d8a6918af3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05256",
    "kind": "arxiv",
    "version": 2
  }
}