Pith Number

pith:AIM6EAVD

pith:2017:AIM6EAVDPHAAOFCBKQL6VO4R2U

not attested not anchored not stored refs pending

The compactness of commutators of Calder\'on-Zgymund operators with Dini condition

Meng Qu, Ying Li

arxiv:1712.09023 v1 · 2017-12-25 · 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{AIM6EAVDPHAAOFCBKQL6VO4R2U}

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	2026-05-18T00:27:14.589365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0219e202a379c00714415417eabb91d50377512d65403cc9ea43bd2fc0120cb6

Aliases

arxiv: 1712.09023 · arxiv_version: 1712.09023v1 · doi: 10.48550/arxiv.1712.09023 · pith_short_12: AIM6EAVDPHAA · pith_short_16: AIM6EAVDPHAAOFCB · pith_short_8: AIM6EAVD

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/AIM6EAVDPHAAOFCBKQL6VO4R2U \
  | 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: 0219e202a379c00714415417eabb91d50377512d65403cc9ea43bd2fc0120cb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "361d4d8f69379786dcd7001e7c179b23402da38090fb702be91bbf33daa053ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-25T07:21:11Z",
    "title_canon_sha256": "1bd6b4b9b113da66a4b3e9020d9a6da0de89a0b8f47cbaa266648b1596589498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09023",
    "kind": "arxiv",
    "version": 1
  }
}