Pith Number

pith:PPXTTXVI

pith:2014:PPXTTXVIB37S2J3P4A33QU74XB

not attested not anchored not stored refs pending

Centralizers of normal subgroups and the $Z^*$-Theorem

Ellen Henke, Jason Semeraro

arxiv:1411.1932 v2 · 2014-11-07 · 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{PPXTTXVIB37S2J3P4A33QU74XB}

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	2026-05-18T01:55:33.373126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bef39dea80eff2d276fe037b853fcb85c0f0df1e9818c841aea66d221e87985

Aliases

arxiv: 1411.1932 · arxiv_version: 1411.1932v2 · doi: 10.48550/arxiv.1411.1932 · pith_short_12: PPXTTXVIB37S · pith_short_16: PPXTTXVIB37S2J3P · pith_short_8: PPXTTXVI

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/PPXTTXVIB37S2J3P4A33QU74XB \
  | 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: 7bef39dea80eff2d276fe037b853fcb85c0f0df1e9818c841aea66d221e87985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3c156130195bdca158cc62ab2610de17e50efd2c60e7c633923bbd8ec9881fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-07T14:29:21Z",
    "title_canon_sha256": "f436eb764dc4efb7e95f8b8eef66568259f4c581d4aa303a83eb7d064c2dcf6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1932",
    "kind": "arxiv",
    "version": 2
  }
}