Pith Number

pith:RFG5ITHE

pith:2019:RFG5ITHEXTSF6E6PT3HI42PSAO

not attested not anchored not stored refs pending

Commutators of Hilbert transforms along monomial curves

Brett D. Wick, Ji Li, Rosemarie Bongers, Zihua Guo

arxiv:1909.02118 v1 · 2019-09-04 · 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{RFG5ITHEXTSF6E6PT3HI42PSAO}

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	2026-07-05T09:05:07.383717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

894dd44ce4bce45f13cf9ece8e69f20394daaf07332bff5064583c9acdcf8054

Aliases

arxiv: 1909.02118 · arxiv_version: 1909.02118v1 · doi: 10.48550/arxiv.1909.02118 · pith_short_12: RFG5ITHEXTSF · pith_short_16: RFG5ITHEXTSF6E6P · pith_short_8: RFG5ITHE

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/RFG5ITHEXTSF6E6PT3HI42PSAO \
  | 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: 894dd44ce4bce45f13cf9ece8e69f20394daaf07332bff5064583c9acdcf8054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "644b0750882a84e2ce79c792582d807fb5a7ffc9fbab70f14ccc2659035ca38e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-09-04T21:16:41Z",
    "title_canon_sha256": "dedcb853edb5d5cde87a75defa6febf639a5fb08e175c4eec7fe92d1590e556b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02118",
    "kind": "arxiv",
    "version": 1
  }
}