Pith Number

pith:LXLYLTZH

pith:2015:LXLYLTZH5UJHFFYIZGUQD2MAHL

not attested not anchored not stored refs pending

Sobolev regularity of the Beurling transform on planar domains

Mart\'i Prats

arxiv:1507.04334 v6 · 2015-07-15 · 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{LXLYLTZH5UJHFFYIZGUQD2MAHL}

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	2026-05-18T00:41:53.891458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dd785cf27ed12729708c9a901e9803ad9fdd4df05363dc4a373dae24c64c1cb

Aliases

arxiv: 1507.04334 · arxiv_version: 1507.04334v6 · doi: 10.48550/arxiv.1507.04334 · pith_short_12: LXLYLTZH5UJH · pith_short_16: LXLYLTZH5UJHFFYI · pith_short_8: LXLYLTZH

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/LXLYLTZH5UJHFFYIZGUQD2MAHL \
  | 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: 5dd785cf27ed12729708c9a901e9803ad9fdd4df05363dc4a373dae24c64c1cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856a5816a27bd8f9e3bbb188cd39ba730dd7315e05392ca7d05eababd3143034",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-15T19:17:57Z",
    "title_canon_sha256": "8e611481bce3b8cb8ba89d4d9e7163d48be77bb6fee0fb297a1cc90f97647e9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04334",
    "kind": "arxiv",
    "version": 6
  }
}