Pith Number

pith:7M64FUG3

pith:2024:7M64FUG3P2JR2ICQBFBDQSLLYJ

not attested not anchored not stored refs pending

$\beta$-dimensional sharp maximal function and applications

Alejandro Claros, You-Wei Benson Chen

arxiv:2407.04456 v3 · 2024-07-05 · 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{7M64FUG3P2JR2ICQBFBDQSLLYJ}

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.

Cited by

1 paper in Pith

A note on Sobolev inequalities in the lower limit case

Receipt and verification

First computed	2026-07-05T10:48:17.266288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb3dc2d0db7e931d2050094238496bc25a7db5e72aaedf8553cf71618afdb159

Aliases

arxiv: 2407.04456 · arxiv_version: 2407.04456v3 · doi: 10.48550/arxiv.2407.04456 · pith_short_12: 7M64FUG3P2JR · pith_short_16: 7M64FUG3P2JR2ICQ · pith_short_8: 7M64FUG3

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/7M64FUG3P2JR2ICQBFBDQSLLYJ \
  | 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: fb3dc2d0db7e931d2050094238496bc25a7db5e72aaedf8553cf71618afdb159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdb25c962483ec72a3d72e7bb8bfbcab347df164f85b6bd28565eb733c870ad9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-07-05T12:08:01Z",
    "title_canon_sha256": "40dc13e40e4878fab7fc853721f7bdd3ef76fab461e40dca7771d312ac8aa24a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.04456",
    "kind": "arxiv",
    "version": 3
  }
}