Pith Number

pith:QM64SWP5

pith:2019:QM64SWP5ZRD6EGEMXYFUNDMYNF

not attested not anchored not stored refs pending

Some notes on commutators of the fractional maximal function on variable Lebesgue spaces

Jianglong Wu, Pu Zhang, Zengyan Si

arxiv:1901.06835 v1 · 2019-01-21 · 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{QM64SWP5ZRD6EGEMXYFUNDMYNF}

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	2026-05-17T23:55:49.005174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

833dc959fdcc47e2188cbe0b468d98697d1b6460d4c519fc50cee0fa7b4209f3

Aliases

arxiv: 1901.06835 · arxiv_version: 1901.06835v1 · doi: 10.48550/arxiv.1901.06835 · pith_short_12: QM64SWP5ZRD6 · pith_short_16: QM64SWP5ZRD6EGEM · pith_short_8: QM64SWP5

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/QM64SWP5ZRD6EGEMXYFUNDMYNF \
  | 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: 833dc959fdcc47e2188cbe0b468d98697d1b6460d4c519fc50cee0fa7b4209f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666b8de2287976c54a6a393970ac5e7efffef4e4d879094172e426fefff7a32d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-21T09:24:10Z",
    "title_canon_sha256": "9d6205f0c2048057472be605ce5ccb8e5a7a539ec4406ea9280f3606827382f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06835",
    "kind": "arxiv",
    "version": 1
  }
}