Pith Number

pith:AJQ4LJGA

pith:2026:AJQ4LJGAUM4HQPLMCN3SFINFZ4

not attested not anchored not stored refs pending

$\mathrm{L}^p$ bounds for parabolic Riesz transforms with rough coefficients: The case $1<p \leq 2$

Benjamin W. Kosmala (TU Darmstadt), Khalid Baadi (LMO), Moritz Egert (TU Darmstadt)

arxiv:2607.05181 v1 · 2026-07-06 · math.CA · math.AP · 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{AJQ4LJGAUM4HQPLMCN3SFINFZ4}

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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	2026-07-07T03:19:18.855807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0261c5a4c0a338783d6c137722a1a5cf2c11cf2ce8fc35731da30a49b7207c95

Aliases

arxiv: 2607.05181 · arxiv_version: 2607.05181v1 · doi: 10.48550/arxiv.2607.05181 · pith_short_12: AJQ4LJGAUM4H · pith_short_16: AJQ4LJGAUM4HQPLM · pith_short_8: AJQ4LJGA

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/AJQ4LJGAUM4HQPLMCN3SFINFZ4 \
  | 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: 0261c5a4c0a338783d6c137722a1a5cf2c11cf2ce8fc35731da30a49b7207c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369729636183504eaa1590bf49e0c522d276625d5b2b323f0e3ea238b3f46f00",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-06T14:58:49Z",
    "title_canon_sha256": "be79008bef00108dafe3ff1f305abb2b74c4b07297e7efd2525ee62cdf3fcb30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05181",
    "kind": "arxiv",
    "version": 1
  }
}