Pith Number

pith:CDFTVVK4

pith:2019:CDFTVVK46RECY7BSYZCFCEAIGE

not attested not anchored not stored refs pending

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals

Jo\~ao P.G. Ramos

arxiv:1908.01833 v1 · 2019-08-05 · 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{CDFTVVK46RECY7BSYZCFCEAIGE}

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	2026-07-04T23:51:48.231242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10cb3ad55cf4482c7c32c6445110083129cd924ffc216e43376e71f980de0d7c

Aliases

arxiv: 1908.01833 · arxiv_version: 1908.01833v1 · doi: 10.48550/arxiv.1908.01833 · pith_short_12: CDFTVVK46REC · pith_short_16: CDFTVVK46RECY7BS · pith_short_8: CDFTVVK4

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/CDFTVVK46RECY7BSYZCFCEAIGE \
  | 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: 10cb3ad55cf4482c7c32c6445110083129cd924ffc216e43376e71f980de0d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d56cc062aba616f2686e371a22dd85c57e4796a5cea4c617cc6e1679a1385ef1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-05T20:14:11Z",
    "title_canon_sha256": "10b8965fabe59c58a7e4393bc869ba3b5578c23102b48c846317d9f5d12463bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01833",
    "kind": "arxiv",
    "version": 1
  }
}