Pith Number

pith:XKVCW6KQ

pith:2026:XKVCW6KQE7YFDMZN3E72TJ22KA

not attested not anchored not stored refs pending

Rough averages of triangular Hilbert transforms

Fred Yu-Hsiang Lin, Lenka Slav\'ikov\'a

arxiv:2607.20206 v1 · 2026-07-22 · 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{XKVCW6KQE7YFDMZN3E72TJ22KA}

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	2026-07-23T01:25:07.737521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baaa2b795027f051b32dd93fa9a75a50026bd0504b0d77179f4e01bad87c46d2

Aliases

arxiv: 2607.20206 · arxiv_version: 2607.20206v1 · doi: 10.48550/arxiv.2607.20206 · pith_short_12: XKVCW6KQE7YF · pith_short_16: XKVCW6KQE7YFDMZN · pith_short_8: XKVCW6KQ

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/XKVCW6KQE7YFDMZN3E72TJ22KA \
  | 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: baaa2b795027f051b32dd93fa9a75a50026bd0504b0d77179f4e01bad87c46d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "900021aee5133ab5f23a996989152d92a0c81fefa1b5cdb97c2c4c114a99ada1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-22T14:26:36Z",
    "title_canon_sha256": "0ad1fc04dc4fcb1631fd34140dfc21e0c054d7c5f15849ee004e876806626db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20206",
    "kind": "arxiv",
    "version": 1
  }
}