Pith Number

pith:ZZ2GBRPX

pith:2015:ZZ2GBRPX7PFQSSC7J5BBPFWRAB

not attested not anchored not stored refs pending

On strong property (T) and fixed point properties for Lie groups

Masato Mimura, Mikael de la Salle, Tim de Laat

arxiv:1508.05860 v2 · 2015-08-24 · math.FA · 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{ZZ2GBRPX7PFQSSC7J5BBPFWRAB}

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	2026-05-18T00:41:42.217990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce7460c5f7fbcb09485f4f421796d10049bad9f6c44ec81f5c7c122b062e4ec2

Aliases

arxiv: 1508.05860 · arxiv_version: 1508.05860v2 · doi: 10.48550/arxiv.1508.05860 · pith_short_12: ZZ2GBRPX7PFQ · pith_short_16: ZZ2GBRPX7PFQSSC7 · pith_short_8: ZZ2GBRPX

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/ZZ2GBRPX7PFQSSC7J5BBPFWRAB \
  | 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: ce7460c5f7fbcb09485f4f421796d10049bad9f6c44ec81f5c7c122b062e4ec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c66ca99d49b7589b0e98fc425257271b6e2125d558437b6976ea26ee948ba7",
    "cross_cats_sorted": [
      "math.GR",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-24T16:10:55Z",
    "title_canon_sha256": "f5252f90678ae8676bb96ccbf6511872cd80ddb08222fe882ae91bd4db311000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05860",
    "kind": "arxiv",
    "version": 2
  }
}