Pith Number

pith:WN3WHCVP

pith:2022:WN3WHCVPS6EFZS6NBDHSIKAVDY

not attested not anchored not stored refs pending

The full range of uniform bounds for the bilinear Hilbert transform

Gennady Uraltsev, Micha{\l} Warchalski

arxiv:2205.09851 v1 · 2022-05-19 · 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{WN3WHCVPS6EFZS6NBDHSIKAVDY}

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	2026-07-05T04:25:00.968282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b377638aaf97885ccbcd08cf2428151e1fbdcc6188c70892df229cbcae02ad80

Aliases

arxiv: 2205.09851 · arxiv_version: 2205.09851v1 · doi: 10.48550/arxiv.2205.09851 · pith_short_12: WN3WHCVPS6EF · pith_short_16: WN3WHCVPS6EFZS6N · pith_short_8: WN3WHCVP

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/WN3WHCVPS6EFZS6NBDHSIKAVDY \
  | 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: b377638aaf97885ccbcd08cf2428151e1fbdcc6188c70892df229cbcae02ad80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75c000e90ac418f11ef1f42e55f3a24d5a9b2670a796b5162e5a1e1e419c298a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2022-05-19T20:51:05Z",
    "title_canon_sha256": "e427ed34920af64a08c770364ea23ac06463a1e9cd06c49712879f09ee9db816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.09851",
    "kind": "arxiv",
    "version": 1
  }
}