Pith Number

pith:L45F4IQA

pith:2012:L45F4IQA6SNRT6C7MH65ATHXWK

not attested not anchored not stored refs pending

Regularity of C^1 and Lipschitz domains in terms of the Beurling transform

Xavier Tolsa

arxiv:1201.5403 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{L45F4IQA6SNRT6C7MH65ATHXWK}

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	2026-05-18T04:03:54.082709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f3a5e2200f49b19f85f61fdd04cf7b2b0a89520ae2a2c3177c12d07fdb44f21

Aliases

arxiv: 1201.5403 · arxiv_version: 1201.5403v1 · doi: 10.48550/arxiv.1201.5403 · pith_short_12: L45F4IQA6SNR · pith_short_16: L45F4IQA6SNRT6C7 · pith_short_8: L45F4IQA

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/L45F4IQA6SNRT6C7MH65ATHXWK \
  | 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: 5f3a5e2200f49b19f85f61fdd04cf7b2b0a89520ae2a2c3177c12d07fdb44f21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74ac84d13633b3c977318dfa3562da7d1b553ebf499ee265ef2aa1a9f3c500c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-25T22:14:44Z",
    "title_canon_sha256": "564b836d9f7a1db3d1f2d5876ab0ec34f0097889ad4fb3ce9e536537af926fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5403",
    "kind": "arxiv",
    "version": 1
  }
}