Pith Number

pith:TLZRELL6

pith:2014:TLZRELL6UU7DVYRFOYDGRXBWKH

not attested not anchored not stored refs pending

The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup

Helge Glockner

arxiv:1412.4800 v2 · 2014-12-15 · 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{TLZRELL6UU7DVYRFOYDGRXBWKH}

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	2026-05-18T02:31:01.915942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9af3122d7ea53e3ae225760668dc3651eae2ddab811b33c046bb093140abeb49

Aliases

arxiv: 1412.4800 · arxiv_version: 1412.4800v2 · doi: 10.48550/arxiv.1412.4800 · pith_short_12: TLZRELL6UU7D · pith_short_16: TLZRELL6UU7DVYRF · pith_short_8: TLZRELL6

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/TLZRELL6UU7DVYRFOYDGRXBWKH \
  | 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: 9af3122d7ea53e3ae225760668dc3651eae2ddab811b33c046bb093140abeb49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba8aba446d097b078abd84eecfa4a513a73a84a5b1303f04773c7e27fc4f75af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-15T21:07:07Z",
    "title_canon_sha256": "1d56b94e632e7e7010b7f207b4f20e47d48d2373ddc069ea30d7cc0df3fb9f77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4800",
    "kind": "arxiv",
    "version": 2
  }
}