Pith Number

pith:64I5MMI3

pith:2023:64I5MMI36KLB5JBQ6ZAF5OCH57

not attested not anchored not stored refs pending

On a class of anisotropic Muckenhoupt weights and their applications to $p$-Laplace equations

Changxing Miao, Zhiwen Zhao

arxiv:2310.01359 v2 · 2023-10-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64I5MMI36KLB5JBQ6ZAF5OCH57}

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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

Anisotropic Caffarelli-Kohn-Nirenberg inequalities with higher-order fractional derivatives

Receipt and verification

First computed	2026-07-05T09:36:36.995255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f711d6311bf2961ea430f6405eb847efd6ad5f86d04f525de0ab214e252d007f

Aliases

arxiv: 2310.01359 · arxiv_version: 2310.01359v2 · doi: 10.48550/arxiv.2310.01359 · pith_short_12: 64I5MMI36KLB · pith_short_16: 64I5MMI36KLB5JBQ · pith_short_8: 64I5MMI3

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/64I5MMI36KLB5JBQ6ZAF5OCH57 \
  | 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: f711d6311bf2961ea430f6405eb847efd6ad5f86d04f525de0ab214e252d007f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f8af1ad9a4a45c4fe717ab7639c033be41d84a5cc07d2934fdd087e4114a000",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-10-02T17:21:34Z",
    "title_canon_sha256": "79e7aba0a8bf2cd8b8d1ebc771c2bd9ed1724a934509c72639951b28d7b69a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.01359",
    "kind": "arxiv",
    "version": 2
  }
}