Pith Number

pith:4SN7CGPP

pith:2016:4SN7CGPPKZY4BOELPN3UGRPYPG

not attested not anchored not stored refs pending

Weighted vector-valued estimates for a non-standard Calder\'on-Zygmund operator

Guoen Hu

arxiv:1602.07830 v3 · 2016-02-25 · 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{4SN7CGPPKZY4BOELPN3UGRPYPG}

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	2026-05-18T00:35:48.959878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e49bf119ef5671c0b88b7b774345f879b9b6adce5166fb66c95e43abd1ba8ede

Aliases

arxiv: 1602.07830 · arxiv_version: 1602.07830v3 · doi: 10.48550/arxiv.1602.07830 · pith_short_12: 4SN7CGPPKZY4 · pith_short_16: 4SN7CGPPKZY4BOEL · pith_short_8: 4SN7CGPP

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/4SN7CGPPKZY4BOELPN3UGRPYPG \
  | 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: e49bf119ef5671c0b88b7b774345f879b9b6adce5166fb66c95e43abd1ba8ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfbaa9a307064f4156741cd71c3d2eaa5b4a37fdd155181ec449a51c9b7e50ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-25T07:36:24Z",
    "title_canon_sha256": "9dc14b2dcc94ec06ee5dfac16d14c95b1cc80dc11a66171397403ec7b8fbb912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07830",
    "kind": "arxiv",
    "version": 3
  }
}