Pith Number

pith:DM67JCV2

pith:2013:DM67JCV266QFVG6AQRNTZ6EHAK

not attested not anchored not stored refs pending

Compactness of commutators of bilinear maximal Calder\'{o}n-Zygmund singular integral operators

Qingying Xue, Ting Mei, Yong Ding

arxiv:1310.5787 v3 · 2013-10-22 · 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{DM67JCV266QFVG6AQRNTZ6EHAK}

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	2026-05-18T03:04:48.225682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b3df48abaf7a05a9bc0845b3cf887029b17d9f4dcd82ad5a32458c088b6d7c3

Aliases

arxiv: 1310.5787 · arxiv_version: 1310.5787v3 · doi: 10.48550/arxiv.1310.5787 · pith_short_12: DM67JCV266QF · pith_short_16: DM67JCV266QFVG6A · pith_short_8: DM67JCV2

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/DM67JCV266QFVG6AQRNTZ6EHAK \
  | 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: 1b3df48abaf7a05a9bc0845b3cf887029b17d9f4dcd82ad5a32458c088b6d7c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66be1c46f34159d37d55fcd4ed2f456ff4dbadf0ee72f6ef35a9d05a88760b26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-22T03:12:51Z",
    "title_canon_sha256": "dbf3302a2359d99d1c5e7599ebc418fa270ff7205629fef670836199d651268b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5787",
    "kind": "arxiv",
    "version": 3
  }
}