Pith Number

pith:CZHDZ2CP

pith:2018:CZHDZ2CPKS2BDU6IDJHXKEH34V

not attested not anchored not stored refs pending

Endpoint results for the Riesz transform of the Ornstein-Uhlenbeck operator

Tommaso Bruno

arxiv:1801.07214 v1 · 2018-01-22 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZHDZ2CPKS2BDU6IDJHXKEH34V}

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	2026-05-18T00:25:21.916559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

164e3ce84f54b411d3c81a4f7510fbe577862fe36a85aca39746e3a58d7b4d32

Aliases

arxiv: 1801.07214 · arxiv_version: 1801.07214v1 · doi: 10.48550/arxiv.1801.07214 · pith_short_12: CZHDZ2CPKS2B · pith_short_16: CZHDZ2CPKS2BDU6I · pith_short_8: CZHDZ2CP

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/CZHDZ2CPKS2BDU6IDJHXKEH34V \
  | 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: 164e3ce84f54b411d3c81a4f7510fbe577862fe36a85aca39746e3a58d7b4d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "410e036658bb20badb1d249e62c33c1b1331c0442fd8b94b20e6119ee5d6136c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-22T17:41:09Z",
    "title_canon_sha256": "93fb684c96a46020ece0671c6c458859cca4a7f7cebbdedf7e14b3d642132b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07214",
    "kind": "arxiv",
    "version": 1
  }
}