Pith Number

pith:FJP5I75H

pith:2024:FJP5I75HXNVLGCBCAV6OHA6FOA

not attested not anchored not stored refs pending

The Boundedness of the Bilinear Fractional Integrals along Curves

Haixia Yu, Junfeng Li, Minqun Zhao

arxiv:2411.14830 v1 · 2024-11-22 · 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{FJP5I75HXNVLGCBCAV6OHA6FOA}

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	2026-07-05T11:59:09.134705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a5fd47fa7bb6ab30822057ce383c5700caef089ce8527304fd4f463c4b98c1f

Aliases

arxiv: 2411.14830 · arxiv_version: 2411.14830v1 · doi: 10.48550/arxiv.2411.14830 · pith_short_12: FJP5I75HXNVL · pith_short_16: FJP5I75HXNVLGCBC · pith_short_8: FJP5I75H

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/FJP5I75HXNVLGCBCAV6OHA6FOA \
  | 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: 2a5fd47fa7bb6ab30822057ce383c5700caef089ce8527304fd4f463c4b98c1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0192face38f98649208ce1c6531aa276dad40d1db7e67aad3da3c4d641052a1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-11-22T10:10:37Z",
    "title_canon_sha256": "6eefb99819d985263fbf5efcbc24993044061feaaa2883c2455eafe800c9f980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14830",
    "kind": "arxiv",
    "version": 1
  }
}