Pith Number

pith:P77LFJER

pith:2009:P77LFJER5GKOKVJ7YHJR76UKTG

not attested not anchored not stored refs pending

Approximate amenability of Schatten classes, Lipschitz algebras and second duals of Fourier algebras

Fereidoun Ghahramani, Yemon Choi

arxiv:0906.2253 v2 · 2009-06-12 · 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{P77LFJER5GKOKVJ7YHJR76UKTG}

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	2026-05-18T04:24:45.413545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ffeb2a491e994e5553fc1d31ffa8a99977e043f0c9cf7ee530587a7dc21c274

Aliases

arxiv: 0906.2253 · arxiv_version: 0906.2253v2 · doi: 10.48550/arxiv.0906.2253 · pith_short_12: P77LFJER5GKO · pith_short_16: P77LFJER5GKOKVJ7 · pith_short_8: P77LFJER

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/P77LFJER5GKOKVJ7YHJR76UKTG \
  | 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: 7ffeb2a491e994e5553fc1d31ffa8a99977e043f0c9cf7ee530587a7dc21c274

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "861244b3035d5e69530b3c3cfd3b38b95163da584675a30a3318c5778020527a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-06-12T04:09:51Z",
    "title_canon_sha256": "77e105da3dd6a06f672b1681d760fc04f77ddeb42015b8d9ecf882cbe5662601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2253",
    "kind": "arxiv",
    "version": 2
  }
}