Pith Number

pith:AN43647W

pith:2013:AN43647WPQRGY43FVQXWMZR7NE

not attested not anchored not stored refs pending

Calder\'{o}n-Zygmund Operators with Non-diagonal Singularity

Kangwei Li, Wenchang Sun

arxiv:1301.1080 v1 · 2013-01-06 · 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{AN43647WPQRGY43FVQXWMZR7NE}

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	2026-05-18T00:39:16.266853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0379bf73f67c226c7365ac2f66663f693e00551dba14d09316301e4797dd7b90

Aliases

arxiv: 1301.1080 · arxiv_version: 1301.1080v1 · doi: 10.48550/arxiv.1301.1080 · pith_short_12: AN43647WPQRG · pith_short_16: AN43647WPQRGY43F · pith_short_8: AN43647W

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/AN43647WPQRGY43FVQXWMZR7NE \
  | 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: 0379bf73f67c226c7365ac2f66663f693e00551dba14d09316301e4797dd7b90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d7c6deae562f50f08321cb88f8fe3e9c4bddef0237ff9d652c79ee97352c3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-06T23:56:20Z",
    "title_canon_sha256": "a568b8f8470da6e612f5273de2085d2523b3f8d28f741de5902e4a6afc30cf82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1080",
    "kind": "arxiv",
    "version": 1
  }
}