Pith Number

pith:LQLK6TQR

pith:2015:LQLK6TQRWFQKERXGJ2REHMA5LP

not attested not anchored not stored refs pending

Non-existence of reflectionless measures for the s-Riesz transform when 0<s<1

Laura Prat, Xavier Tolsa

arxiv:1502.01483 v2 · 2015-02-05 · math.FA · 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{LQLK6TQRWFQKERXGJ2REHMA5LP}

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	2026-05-18T02:18:42.675169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c16af4e11b160a246e64ea243b01d5bc666418af35e6db6925d3c58da4b2189

Aliases

arxiv: 1502.01483 · arxiv_version: 1502.01483v2 · doi: 10.48550/arxiv.1502.01483 · pith_short_12: LQLK6TQRWFQK · pith_short_16: LQLK6TQRWFQKERXG · pith_short_8: LQLK6TQR

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/LQLK6TQRWFQKERXGJ2REHMA5LP \
  | 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: 5c16af4e11b160a246e64ea243b01d5bc666418af35e6db6925d3c58da4b2189

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c8d85027e41957f1a19c44ed81f9bdca843fe05f4d554eb80182f90f88c7a11",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-05T10:06:50Z",
    "title_canon_sha256": "6d078f429b1848060133b9bfd4eaf150b1fac45c027a969e738a7a229311c5a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01483",
    "kind": "arxiv",
    "version": 2
  }
}