Pith Number

pith:TPZJU2AW

pith:2024:TPZJU2AW7D27UUB46OR5YWVTMU

not attested not anchored not stored refs pending

The reverse H\"older inequality for $\mathcal{A}_{p(\cdot)}$ weights with applications to matrix weights

David Cruz-Uribe, Michael Penrod

arxiv:2411.12849 v2 · 2024-11-19 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPZJU2AW7D27UUB46OR5YWVTMU}

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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.

Cited by

1 paper in Pith

Variable Muckenhoupt $A_\infty$ Weights

Receipt and verification

First computed	2026-07-05T12:09:42.647939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf29a6816f8f5fa503cf3a3dc5ab3650890b212f4b7321ea92208a1f2edd2b1

Aliases

arxiv: 2411.12849 · arxiv_version: 2411.12849v2 · doi: 10.48550/arxiv.2411.12849 · pith_short_12: TPZJU2AW7D27 · pith_short_16: TPZJU2AW7D27UUB4 · pith_short_8: TPZJU2AW

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/TPZJU2AW7D27UUB46OR5YWVTMU \
  | 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: 9bf29a6816f8f5fa503cf3a3dc5ab3650890b212f4b7321ea92208a1f2edd2b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "058d726eafac564adbbffb7e92fc08c9419fb67d55615f0e56e870fdc6000345",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-11-19T20:38:52Z",
    "title_canon_sha256": "e3dca72257096aa7620cab928e470b6c799a44335400c4275ec2f14a28c944d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.12849",
    "kind": "arxiv",
    "version": 2
  }
}