Pith Number

pith:C7NAS4WZ

pith:2015:C7NAS4WZ7DGDI6JWJVQ5377SUP

not attested not anchored not stored refs pending

The L^p-norms of the Beurling-Ahlfors transform on radial functions

Micha{\l} Strzelecki

arxiv:1511.07861 v1 · 2015-11-24 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7NAS4WZ7DGDI6JWJVQ5377SUP}

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	2026-05-18T00:50:42.923054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17da0972d9f8cc3479364d61ddfff2a3f6736e1c95367f5bd28032cd54873fe0

Aliases

arxiv: 1511.07861 · arxiv_version: 1511.07861v1 · doi: 10.48550/arxiv.1511.07861 · pith_short_12: C7NAS4WZ7DGD · pith_short_16: C7NAS4WZ7DGDI6JW · pith_short_8: C7NAS4WZ

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/C7NAS4WZ7DGDI6JWJVQ5377SUP \
  | 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: 17da0972d9f8cc3479364d61ddfff2a3f6736e1c95367f5bd28032cd54873fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f059dab0e124681dd0a0096af3080f49fefd5575c36e01ce6aba7f2ffd78cab6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-24T20:47:59Z",
    "title_canon_sha256": "2ebcbfe5563df9ace2eac07c2150a231663dbab7e62eebb3328469e36b1d9c84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07861",
    "kind": "arxiv",
    "version": 1
  }
}