Pith Number

pith:FZKCUNIT

pith:2011:FZKCUNIT6LLGKDM5Z3KLDOWTT5

not attested not anchored not stored refs pending

The Walsh basis in the Lp-spaces of hyperfinite III_\lambda-factors, 0 < \lambda <= 1

D. Potapov, F. Sukochev, M. Caspers

arxiv:1111.2403 v1 · 2011-11-10 · math.OA · 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{FZKCUNIT6LLGKDM5Z3KLDOWTT5}

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	2026-05-18T04:08:34.262900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e542a3513f2d6650d9dced4b1bad39f7438ba41626fca0cc4375dee7bb2d4ac

Aliases

arxiv: 1111.2403 · arxiv_version: 1111.2403v1 · doi: 10.48550/arxiv.1111.2403 · pith_short_12: FZKCUNIT6LLG · pith_short_16: FZKCUNIT6LLGKDM5 · pith_short_8: FZKCUNIT

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/FZKCUNIT6LLGKDM5Z3KLDOWTT5 \
  | 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: 2e542a3513f2d6650d9dced4b1bad39f7438ba41626fca0cc4375dee7bb2d4ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "531259c2da97c047037d7312176d6fc767cd65eb571bfaa319cd6d3122ea2d42",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-11-10T06:41:31Z",
    "title_canon_sha256": "996dac77891222b66f6826c9a5a7eae4c63c5b53aabc96753e5be0a7639dcac8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2403",
    "kind": "arxiv",
    "version": 1
  }
}