Pith Number

pith:77JJLOUC

pith:2010:77JJLOUCXFAAAFAZLVQZDY2BQC

not attested not anchored not stored refs pending

Arens Regularity of Tensor Products and Weak Amenability of Banach Algebras

Kazem Haghnejad Azar

arxiv:1011.0762 v1 · 2010-11-02 · 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{77JJLOUCXFAAAFAZLVQZDY2BQC}

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	2026-05-18T04:37:12.418265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd295ba82b9400014195d6191e34180b11e9d8d9d9564ccbbd368556fdfde32

Aliases

arxiv: 1011.0762 · arxiv_version: 1011.0762v1 · doi: 10.48550/arxiv.1011.0762 · pith_short_12: 77JJLOUCXFAA · pith_short_16: 77JJLOUCXFAAAFAZ · pith_short_8: 77JJLOUC

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/77JJLOUCXFAAAFAZLVQZDY2BQC \
  | 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: ffd295ba82b9400014195d6191e34180b11e9d8d9d9564ccbbd368556fdfde32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79342a4c7f2db60283fcd7b86b65dbe3a22fb0e384a7bca8d1e8ecd5c578f31c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-11-02T22:15:08Z",
    "title_canon_sha256": "da330d4ae9d16ca28960ecc7d0f9b80f917d2a094b1389d7f9ae30859eee9710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0762",
    "kind": "arxiv",
    "version": 1
  }
}