Pith Number

pith:FB5U6CI4

pith:2011:FB5U6CI4NIT3ZQTYSDBM74P2ZX

not attested not anchored not stored refs pending

Calder\'on-Zygmund kernels and rectifiability in the plane

Joan Mateu, Laura Prat, Vasilis Chousionis, Xavier Tolsa

arxiv:1110.1302 v3 · 2011-10-06 · 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{FB5U6CI4NIT3ZQTYSDBM74P2ZX}

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	2026-05-18T01:02:21.523708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

287b4f091c6a27bcc27890c2cff1facdedeb56506061cb0cc3f112a5b9ff3d99

Aliases

arxiv: 1110.1302 · arxiv_version: 1110.1302v3 · doi: 10.48550/arxiv.1110.1302 · pith_short_12: FB5U6CI4NIT3 · pith_short_16: FB5U6CI4NIT3ZQTY · pith_short_8: FB5U6CI4

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/FB5U6CI4NIT3ZQTYSDBM74P2ZX \
  | 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: 287b4f091c6a27bcc27890c2cff1facdedeb56506061cb0cc3f112a5b9ff3d99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3497e272546a42d3002b3be63a66a8ef67519e287571a670752a7e371c7392cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-06T15:43:16Z",
    "title_canon_sha256": "56297c6ee9e81c3b3049dabdbd3b27d25cd1e74e40b942bb37b1364406a4332a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1302",
    "kind": "arxiv",
    "version": 3
  }
}