Pith Number

pith:IXMGS5S7

pith:2026:IXMGS5S7XQ6T43H2QIDKDONNKO

not attested not anchored not stored refs pending

Improvement of a Hardy-Littlewood inequality and applications to the boundedness of analytic paraproducts on mixed norm spaces

\'Alvaro Miguel Moreno, Jos\'e \'Angel Pel\'aez

arxiv:2605.28080 v1 · 2026-05-27 · math.CV · math.CA · 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{IXMGS5S7XQ6T43H2QIDKDONNKO}

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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	2026-05-28T01:04:58.041614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d869765fbc3d3e6cfa8206a1b9ad53b12401f6304c5602bfbb44abeaf489d4

Aliases

arxiv: 2605.28080 · arxiv_version: 2605.28080v1 · doi: 10.48550/arxiv.2605.28080 · pith_short_12: IXMGS5S7XQ6T · pith_short_16: IXMGS5S7XQ6T43H2 · pith_short_8: IXMGS5S7

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/IXMGS5S7XQ6T43H2QIDKDONNKO \
  | 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: 45d869765fbc3d3e6cfa8206a1b9ad53b12401f6304c5602bfbb44abeaf489d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba38fcb838a15ca998b5eec9f112746c551ed07e907f045c3128cd960321db79",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-05-27T07:34:03Z",
    "title_canon_sha256": "dc050adceb26a0c7327bf5d122b9d516723cb3d9029a265a8d5ee49e5485e1ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28080",
    "kind": "arxiv",
    "version": 1
  }
}