Pith Number

pith:YZ5LEPM2

pith:2018:YZ5LEPM2A6FJKZYCCG4ZOQBLHF

not attested not anchored not stored refs pending

On the centralizer of a balanced nilpotent section

William Hardesty

arxiv:1810.06157 v1 · 2018-10-15 · 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{YZ5LEPM2A6FJKZYCCG4ZOQBLHF}

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	2026-05-18T00:03:21.237737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c67ab23d9a078a95670211b997402b395c037110abcddca81b132c835336e8e4

Aliases

arxiv: 1810.06157 · arxiv_version: 1810.06157v1 · doi: 10.48550/arxiv.1810.06157 · pith_short_12: YZ5LEPM2A6FJ · pith_short_16: YZ5LEPM2A6FJKZYC · pith_short_8: YZ5LEPM2

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/YZ5LEPM2A6FJKZYCCG4ZOQBLHF \
  | 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: c67ab23d9a078a95670211b997402b395c037110abcddca81b132c835336e8e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b5985a7e7764012343e2fd671aea4190c502b555f835ea315532acc02167b28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-10-15T02:41:55Z",
    "title_canon_sha256": "460c9a6b637dda8073ee1515e75825d909b5e9a0566cb22df5b354a5552012d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06157",
    "kind": "arxiv",
    "version": 1
  }
}