Pith Number

pith:Z6VCPTEF

pith:2015:Z6VCPTEF742YAOFT5MQFU5MRL2

not attested not anchored not stored refs pending

Local rigidity for actions of Kazhdan groups on non commutative $L_p$-spaces

Bachir Bekka

arxiv:1502.00970 v2 · 2015-02-03 · 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{Z6VCPTEF742YAOFT5MQFU5MRL2}

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	2026-05-18T00:54:41.761076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfaa27cc85ff358038b3eb205a75915eb820bed39ab3572eba5c0a83c295c2ad

Aliases

arxiv: 1502.00970 · arxiv_version: 1502.00970v2 · doi: 10.48550/arxiv.1502.00970 · pith_short_12: Z6VCPTEF742Y · pith_short_16: Z6VCPTEF742YAOFT · pith_short_8: Z6VCPTEF

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/Z6VCPTEF742YAOFT5MQFU5MRL2 \
  | 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: cfaa27cc85ff358038b3eb205a75915eb820bed39ab3572eba5c0a83c295c2ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b40f457143833d529fab78cd4570bbd74072c5d89d4504f43053690ea3a16ca6",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-02-03T19:29:49Z",
    "title_canon_sha256": "17109aba35d3666e861b426484aa531d6eeb92e1ac5877ed1cdc18ad02ba0038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00970",
    "kind": "arxiv",
    "version": 2
  }
}