Pith Number

pith:I24YIVHN

pith:2009:I24YIVHNIOVJMLWBCU2QRKQ5HC

not attested not anchored not stored refs pending

A characterization of relative Kazhdan Property T for semidirect products with abelian groups

Romain Tessera, Yves Cornulier

arxiv:0911.3371 v3 · 2009-11-17 · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I24YIVHNIOVJMLWBCU2QRKQ5HC}

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	2026-05-18T04:22:40.481686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b98454ed43aa962ec1153508aa1d388f2b0985cb4055dbb9edbf54e6b345b2

Aliases

arxiv: 0911.3371 · arxiv_version: 0911.3371v3 · doi: 10.48550/arxiv.0911.3371 · pith_short_12: I24YIVHNIOVJ · pith_short_16: I24YIVHNIOVJMLWB · pith_short_8: I24YIVHN

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/I24YIVHNIOVJMLWBCU2QRKQ5HC \
  | 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: 46b98454ed43aa962ec1153508aa1d388f2b0985cb4055dbb9edbf54e6b345b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c26369a808ad153314dee9505464c1e22e0992a53b862f9452c84e5b8af45be",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-11-17T19:05:53Z",
    "title_canon_sha256": "ae979e7256be124dd7224aca13053d8f91c6850663d256e1407a0664fc81536c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3371",
    "kind": "arxiv",
    "version": 3
  }
}