Pith Number

pith:5TQMWGWC

pith:2013:5TQMWGWCJFEP6BCUGH6I6TCB6U

not attested not anchored not stored refs pending

A two weight theorem for fractional singular integrals in higher dimension

Chun-Yen Shen, Eric T. Sawyer, Ignacio Uriarte-Tuero

arxiv:1305.5104 v8 · 2013-05-22 · 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{5TQMWGWCJFEP6BCUGH6I6TCB6U}

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	2026-05-18T02:56:19.154276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece0cb1ac24948ff045431fc8f4c41f50567ca97fa5af029d3d011c65a78f5a4

Aliases

arxiv: 1305.5104 · arxiv_version: 1305.5104v8 · doi: 10.48550/arxiv.1305.5104 · pith_short_12: 5TQMWGWCJFEP · pith_short_16: 5TQMWGWCJFEP6BCU · pith_short_8: 5TQMWGWC

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/5TQMWGWCJFEP6BCUGH6I6TCB6U \
  | 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: ece0cb1ac24948ff045431fc8f4c41f50567ca97fa5af029d3d011c65a78f5a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e72272dd2aeb57f0d033f1ac57ea926881ae7b7bb4fbdd6f28c119a1e413c73d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-22T12:30:50Z",
    "title_canon_sha256": "ab2100c17aac57c280fa2cc4953fec590e52e796b1ae06230a7519faa390046e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5104",
    "kind": "arxiv",
    "version": 8
  }
}