Pith Number

pith:T4PWGRGE

pith:2010:T4PWGRGEB2EHXU67QPMSUS6WU5

not attested not anchored not stored refs pending

Arens regularity of module actions and weak amenability of Banach algebras

Kazem Haghnejad Azar

arxiv:1011.0803 v1 · 2010-11-03 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4PWGRGEB2EHXU67QPMSUS6WU5}

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	2026-05-18T04:37:12.320374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f1f6344c40e887bd3df83d92a4bd6a74da1a1e9d6176ac434ecefda8ed4a991

Aliases

arxiv: 1011.0803 · arxiv_version: 1011.0803v1 · doi: 10.48550/arxiv.1011.0803 · pith_short_12: T4PWGRGEB2EH · pith_short_16: T4PWGRGEB2EHXU67 · pith_short_8: T4PWGRGE

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/T4PWGRGEB2EHXU67QPMSUS6WU5 \
  | 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: 9f1f6344c40e887bd3df83d92a4bd6a74da1a1e9d6176ac434ecefda8ed4a991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be0159b517d0c8539922c46e026fe886ce16d7b55aa987eb22088a3ada8a7990",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-11-03T06:13:03Z",
    "title_canon_sha256": "5332504d11a53a10c34b4779a43bdc743014e61fac23657cc716e307628ef9f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0803",
    "kind": "arxiv",
    "version": 1
  }
}