Pith Number

pith:32Y2REZB

pith:2015:32Y2REZBQH2RGBRV2DB4EFW7KV

not attested not anchored not stored refs pending

Borderline Weak Type Estimates for Singular Integrals and Square Functions

Carlos Domingo-Salazar, Guillermo Rey, Michael T. Lacey

arxiv:1505.01804 v2 · 2015-05-07 · 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{32Y2REZBQH2RGBRV2DB4EFW7KV}

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	2026-05-18T00:01:39.479439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb1a8932181f5130635d0c3c216df5576ec53ae63d5450912c0cc3b1ac36ec4

Aliases

arxiv: 1505.01804 · arxiv_version: 1505.01804v2 · doi: 10.48550/arxiv.1505.01804 · pith_short_12: 32Y2REZBQH2R · pith_short_16: 32Y2REZBQH2RGBRV · pith_short_8: 32Y2REZB

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/32Y2REZBQH2RGBRV2DB4EFW7KV \
  | 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: deb1a8932181f5130635d0c3c216df5576ec53ae63d5450912c0cc3b1ac36ec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93024c016f8a589d2ff9d093979e790a61e24b5d8d508ec077a9c5cc74d9bbda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-07T18:25:16Z",
    "title_canon_sha256": "8c0dc39f7db85c82039ccdaf4a6572ff10ec279854e2d9d6ab6732ab2cd171d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01804",
    "kind": "arxiv",
    "version": 2
  }
}