Pith Number

pith:JWBTFTJU

pith:2012:JWBTFTJUTUJD2XY5BKKIK7J7E6

not attested not anchored not stored refs pending

Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO

Benoit Sehba, Sandra Pott

arxiv:1201.1025 v1 · 2012-01-04 · math.CA · math.CV · 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{JWBTFTJUTUJD2XY5BKKIK7J7E6}

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	2026-05-18T04:05:14.513533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8332cd349d123d5f1d0a94857d3f27a94d0f94c3bdf3d91614d13a4df50947

Aliases

arxiv: 1201.1025 · arxiv_version: 1201.1025v1 · doi: 10.48550/arxiv.1201.1025 · pith_short_12: JWBTFTJUTUJD · pith_short_16: JWBTFTJUTUJD2XY5 · pith_short_8: JWBTFTJU

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/JWBTFTJUTUJD2XY5BKKIK7J7E6 \
  | 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: 4d8332cd349d123d5f1d0a94857d3f27a94d0f94c3bdf3d91614d13a4df50947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ea4b5b7a3e9e2dc99d940eedaf4d0aeeefa428ce211399feaf5a7051430090",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-04T22:13:08Z",
    "title_canon_sha256": "504ece779c286f156321e94f95222595af05171678d3951d4aa8dac12b8a26db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1025",
    "kind": "arxiv",
    "version": 1
  }
}