Pith Number

pith:2MVF3V63

pith:2013:2MVF3V63WPS4MOMLLQF6IDHF6D

not attested not anchored not stored refs pending

Strong Banach Property (T) for Simple Algebraic Groups of Higher Rank

Benben Liao

arxiv:1301.1861 v3 · 2013-01-09 · math.OA · 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{2MVF3V63WPS4MOMLLQF6IDHF6D}

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	2026-05-18T02:33:01.582601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d32a5dd7dbb3e5c6398b5c0be40ce5f0e96e7b869c883becb219269465e861ab

Aliases

arxiv: 1301.1861 · arxiv_version: 1301.1861v3 · doi: 10.48550/arxiv.1301.1861 · pith_short_12: 2MVF3V63WPS4 · pith_short_16: 2MVF3V63WPS4MOML · pith_short_8: 2MVF3V63

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/2MVF3V63WPS4MOMLLQF6IDHF6D \
  | 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: d32a5dd7dbb3e5c6398b5c0be40ce5f0e96e7b869c883becb219269465e861ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "095026e0b47201c6afaf0bc23b6c0e7fec5d28a74ca5791437d650adffe24325",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-01-09T14:11:38Z",
    "title_canon_sha256": "016a4a68445a3419207a6193325cc9d77bc9d00d47b1ed15186574a476fbe0e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1861",
    "kind": "arxiv",
    "version": 3
  }
}