Pith Number

pith:F52WDL3Z

pith:2025:F52WDL3ZDHU7HTZ3P6CDJ57XSX

not attested not anchored not stored refs pending

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case

\'Arp\'ad B\'enyi, Bingyang Hu, Victor Lie

arxiv:2507.04467 v1 · 2025-07-06 · math.CA · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F52WDL3ZDHU7HTZ3P6CDJ57XSX}

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	2026-07-05T11:32:48.573895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f7561af7919e9f3cf3b7f8434f7f795fa2fa3f6198f75672d1546ea05e07344

Aliases

arxiv: 2507.04467 · arxiv_version: 2507.04467v1 · doi: 10.48550/arxiv.2507.04467 · pith_short_12: F52WDL3ZDHU7 · pith_short_16: F52WDL3ZDHU7HTZ3 · pith_short_8: F52WDL3Z

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/F52WDL3ZDHU7HTZ3P6CDJ57XSX \
  | 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: 2f7561af7919e9f3cf3b7f8434f7f795fa2fa3f6198f75672d1546ea05e07344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1746b42a8ba38d0fd3e4f4fe8a74473d7239dea9e2e188f9d08bbd5ef76ba03f",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-07-06T17:11:44Z",
    "title_canon_sha256": "383e0b91ba595fc1bd4d94bea2cacc73f5d842687bcf2a75d53d28bdac17d193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04467",
    "kind": "arxiv",
    "version": 1
  }
}