Pith Number

pith:JFSRFTSH

pith:2012:JFSRFTSHRJCCM7A4I3SV6IC4A7

not attested not anchored not stored refs pending

A note on products in weighted Fourier-Lebesgue spaces

Joachim Toft, Karoline Johansson, Nenad Teofanov, Stevan Pilipovic

arxiv:1204.2408 v2 · 2012-04-11 · 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{JFSRFTSHRJCCM7A4I3SV6IC4A7}

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	2026-05-18T03:47:52.703766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

496512ce478a44267c1c46e55f205c07f3962009ef4f0c7ba5e1fe7d4a48b494

Aliases

arxiv: 1204.2408 · arxiv_version: 1204.2408v2 · doi: 10.48550/arxiv.1204.2408 · pith_short_12: JFSRFTSHRJCC · pith_short_16: JFSRFTSHRJCCM7A4 · pith_short_8: JFSRFTSH

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/JFSRFTSHRJCCM7A4I3SV6IC4A7 \
  | 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: 496512ce478a44267c1c46e55f205c07f3962009ef4f0c7ba5e1fe7d4a48b494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "703bd18f5c7550501b314e3af64bd48613fbe9462da14f215c21637273c4132c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-11T10:47:05Z",
    "title_canon_sha256": "9364cf31c69bbd7e12e49e16c6c92200380dbf7c387a0be3cabcdb77568eda88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2408",
    "kind": "arxiv",
    "version": 2
  }
}