Pith Number

pith:CTOOLWA2

pith:2013:CTOOLWA252U3RY466RE4SED3II

not attested not anchored not stored refs pending

Two Weight Inequalities for Riesz Transforms: Uniformly Full Dimension Weights

Brett D. Wick, Michael T. Lacey

arxiv:1312.6163 v4 · 2013-12-20 · 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{CTOOLWA252U3RY466RE4SED3II}

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	2026-05-18T01:14:36.351434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14dce5d81aeea9b8e39ef449c9107b42180ce32e245500b1339ae2fbef87846d

Aliases

arxiv: 1312.6163 · arxiv_version: 1312.6163v4 · doi: 10.48550/arxiv.1312.6163 · pith_short_12: CTOOLWA252U3 · pith_short_16: CTOOLWA252U3RY46 · pith_short_8: CTOOLWA2

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/CTOOLWA252U3RY466RE4SED3II \
  | 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: 14dce5d81aeea9b8e39ef449c9107b42180ce32e245500b1339ae2fbef87846d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ef44642034fa7297af6c2757f3545eb766f79aa63d1b08cf8747bb2c494e015",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-20T22:03:47Z",
    "title_canon_sha256": "148ac958c90eb18199c007e983e4f14cbc93364f3852143cea1066f31035dd37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6163",
    "kind": "arxiv",
    "version": 4
  }
}