Pith Number

pith:K7TDPS4R

pith:2011:K7TDPS4ROGCWG7SZFTRCGYU4LE

not attested not anchored not stored refs pending

An A_p --A_infty inequality for the Hilbert Transform

Michael T Lacey

arxiv:1104.2199 v3 · 2011-04-12 · 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{K7TDPS4ROGCWG7SZFTRCGYU4LE}

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	2026-05-18T04:19:31.960230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57e637cb917185637e592ce223629c590d7d94356388bec4f42d2a6247b92a5a

Aliases

arxiv: 1104.2199 · arxiv_version: 1104.2199v3 · doi: 10.48550/arxiv.1104.2199 · pith_short_12: K7TDPS4ROGCW · pith_short_16: K7TDPS4ROGCWG7SZ · pith_short_8: K7TDPS4R

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/K7TDPS4ROGCWG7SZFTRCGYU4LE \
  | 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: 57e637cb917185637e592ce223629c590d7d94356388bec4f42d2a6247b92a5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "456e3989207662da442df81636c6af808d80d70dd0acaafc2ce91198e777326e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-04-12T12:59:43Z",
    "title_canon_sha256": "765c4b0b890d3fbb291750692373d545294f5a155ff719087a8ebae46142f647"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2199",
    "kind": "arxiv",
    "version": 3
  }
}