Pith Number

pith:FKMBRPVV

pith:2023:FKMBRPVVI5HGHTQITOOECT4MA2

not attested not anchored not stored refs pending

Characterization of boundedness of some commutators of fractional maximal functions in terms of $p$-adic vector spaces

J. Wu, Y. Chang

arxiv:2308.02736 v1 · 2023-08-04 · 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{FKMBRPVVI5HGHTQITOOECT4MA2}

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.

Receipt and verification

First computed	2026-07-05T06:38:06.673342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a9818beb5474e63ce089b9c414f8c06b73b83a30b458f1e54c23590fe4c880a

Aliases

arxiv: 2308.02736 · arxiv_version: 2308.02736v1 · doi: 10.48550/arxiv.2308.02736 · pith_short_12: FKMBRPVVI5HG · pith_short_16: FKMBRPVVI5HGHTQI · pith_short_8: FKMBRPVV

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/FKMBRPVVI5HGHTQITOOECT4MA2 \
  | 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: 2a9818beb5474e63ce089b9c414f8c06b73b83a30b458f1e54c23590fe4c880a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9b538b32f254020465cfc53220c953996ba375929b6f362df73cef4dae01ffd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-08-04T23:05:36Z",
    "title_canon_sha256": "0ac59cef677d0c7c448862a3dc37c619449481eb50aba3a50b94473cad553e07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.02736",
    "kind": "arxiv",
    "version": 1
  }
}