Pith Number

pith:XSZTUIYC

pith:2011:XSZTUIYCHTHKRGMAZRIDTHZ37S

not attested not anchored not stored refs pending

On Levi subgroups and the Levi decomposition for groups definable in o-minimal structures

Anand Pillay, Annalisa Conversano

arxiv:1111.2369 v1 · 2011-11-09 · math.LO · 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{XSZTUIYCHTHKRGMAZRIDTHZ37S}

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	2026-05-18T04:08:34.336476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcb33a23023ccea89980cc50399f3bfcb07e9835439dad571da75a96fe038bf6

Aliases

arxiv: 1111.2369 · arxiv_version: 1111.2369v1 · doi: 10.48550/arxiv.1111.2369 · pith_short_12: XSZTUIYCHTHK · pith_short_16: XSZTUIYCHTHKRGMA · pith_short_8: XSZTUIYC

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/XSZTUIYCHTHKRGMAZRIDTHZ37S \
  | 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: bcb33a23023ccea89980cc50399f3bfcb07e9835439dad571da75a96fe038bf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eb707ab25d98be499f36aa647a10d41306f0bdac269a3e24ee57a6f5b21c390",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-11-09T23:44:23Z",
    "title_canon_sha256": "4f7253af44ba13052c82de8bca3cb80d750e3ae3a38fc493eb38b5513611751b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2369",
    "kind": "arxiv",
    "version": 1
  }
}