Pith Number

pith:NEUVWFMQ

pith:2012:NEUVWFMQLFZSNEOWEJRQBXFTGF

not attested not anchored not stored refs pending

Smoothness of the Beurling transform in Lipschitz domains

Victor Cruz, Xavier Tolsa

arxiv:1201.5385 v1 · 2012-01-25 · math.CA · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NEUVWFMQLFZSNEOWEJRQBXFTGF}

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	2026-05-18T04:03:54.115188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69295b159059732691d6226300dcb33164a38af0d8e50835c19b00649cecd069

Aliases

arxiv: 1201.5385 · arxiv_version: 1201.5385v1 · doi: 10.48550/arxiv.1201.5385 · pith_short_12: NEUVWFMQLFZS · pith_short_16: NEUVWFMQLFZSNEOW · pith_short_8: NEUVWFMQ

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/NEUVWFMQLFZSNEOWEJRQBXFTGF \
  | 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: 69295b159059732691d6226300dcb33164a38af0d8e50835c19b00649cecd069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aafc504a3bd2c25be5a76dae1d993ba66454770706f74d73392d0ca3e5a3f51",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-25T21:04:40Z",
    "title_canon_sha256": "2bc94e9de6a942fa6efd6ec75eeb8c0242cea72a168fa15a0fa9d9abeafa13b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5385",
    "kind": "arxiv",
    "version": 1
  }
}