Pith Number

pith:F7VSKFQD

pith:2011:F7VSKFQDWQTWTU5DALZPCTQXUP

not attested not anchored not stored refs pending

Capacities associated with Calder\'on-Zygmund kernels

Joan Mateu, Laura Prat, Vasilis Chousionis, Xavier Tolsa

arxiv:1112.3849 v2 · 2011-12-16 · 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{F7VSKFQDWQTWTU5DALZPCTQXUP}

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	2026-05-18T01:02:21.508460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2feb251603b42769d3a302f2f14e17a3d454a0ab5a8d10a41dfb7c959c2ef8ae

Aliases

arxiv: 1112.3849 · arxiv_version: 1112.3849v2 · doi: 10.48550/arxiv.1112.3849 · pith_short_12: F7VSKFQDWQTW · pith_short_16: F7VSKFQDWQTWTU5D · pith_short_8: F7VSKFQD

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/F7VSKFQDWQTWTU5DALZPCTQXUP \
  | 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: 2feb251603b42769d3a302f2f14e17a3d454a0ab5a8d10a41dfb7c959c2ef8ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b98a2cde09ae02116fbe514b413a5872da7dc23b4d8e9abc2334a8589e8e66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-16T15:26:11Z",
    "title_canon_sha256": "3201ee015d19358b84fadf147c02d77ebf49c4ca00f0a6c5037ab8d7e1ac2851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3849",
    "kind": "arxiv",
    "version": 2
  }
}