Pith Number

pith:K7RBEYNZ

pith:2011:K7RBEYNZGCDM6DNWWJTEYSV2PF

not attested not anchored not stored refs pending

Definable Envelopes of Nilpotent Subgroups of Groups with Chain Conditions on Centralizers

Paul Baginski, Tuna Alt{\i}nel

arxiv:1110.4849 v1 · 2011-10-21 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7RBEYNZGCDM6DNWWJTEYSV2PF}

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	2026-05-18T01:09:25.222338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57e21261b93086cf0db6b2664c4aba79450f52e775b9de01e263ea2169461920

Aliases

arxiv: 1110.4849 · arxiv_version: 1110.4849v1 · doi: 10.48550/arxiv.1110.4849 · pith_short_12: K7RBEYNZGCDM · pith_short_16: K7RBEYNZGCDM6DNW · pith_short_8: K7RBEYNZ

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/K7RBEYNZGCDM6DNWWJTEYSV2PF \
  | 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: 57e21261b93086cf0db6b2664c4aba79450f52e775b9de01e263ea2169461920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7295aaf24fbea94350e67bacce340b40fe1d654dc205ea85f8fc101530ba4d2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-10-21T17:29:50Z",
    "title_canon_sha256": "364a1a447a729a3c0d5b229fb53acfa96408e5c0bc0bd8841fb6e36a6d456d5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4849",
    "kind": "arxiv",
    "version": 1
  }
}