Pith Number

pith:KSPBJLOB

pith:2016:KSPBJLOBRHXOW7XQ27WWKNMGS4

not attested not anchored not stored refs pending

Singular integrals unsuitable for the curvature method whose $L^2$-boundedness still implies rectifiability

Joan Mateu, Petr Chunaev, Xavier Tolsa

arxiv:1607.07663 v1 · 2016-07-26 · 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{KSPBJLOBRHXOW7XQ27WWKNMGS4}

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	2026-05-18T01:10:28.019234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

549e14adc189eeeb7ef0d7ed65358697038ead9b756e480f91fe4f1968376484

Aliases

arxiv: 1607.07663 · arxiv_version: 1607.07663v1 · doi: 10.48550/arxiv.1607.07663 · pith_short_12: KSPBJLOBRHXO · pith_short_16: KSPBJLOBRHXOW7XQ · pith_short_8: KSPBJLOB

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/KSPBJLOBRHXOW7XQ27WWKNMGS4 \
  | 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: 549e14adc189eeeb7ef0d7ed65358697038ead9b756e480f91fe4f1968376484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0187c7618c78427608aefbd21401029aa8eca6d6c71a374ecd7b803e8b4c78b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-26T12:21:09Z",
    "title_canon_sha256": "a839dc20ce669ce3c8894b57b7a18ca7bf12191e16893622d3dd0d356aca59de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07663",
    "kind": "arxiv",
    "version": 1
  }
}