Pith Number

pith:HDI2F6YR

pith:2025:HDI2F6YRYM6DHYPSNPOVB4LQHN

not attested not anchored not stored refs pending

Weighted estimates for Multilinear Singular Integrals with Rough Kernels

Bae Jun Park

arxiv:2504.12119 v2 · 2025-04-16 · 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{HDI2F6YRYM6DHYPSNPOVB4LQHN}

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	2026-05-20T00:04:08.594714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38d1a2fb11c33c33e1f26bdd50f1703b4675a7dc579ac28711c819f9ffba4eb8

Aliases

arxiv: 2504.12119 · arxiv_version: 2504.12119v2 · doi: 10.48550/arxiv.2504.12119 · pith_short_12: HDI2F6YRYM6D · pith_short_16: HDI2F6YRYM6DHYPS · pith_short_8: HDI2F6YR

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/HDI2F6YRYM6DHYPSNPOVB4LQHN \
  | 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: 38d1a2fb11c33c33e1f26bdd50f1703b4675a7dc579ac28711c819f9ffba4eb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b2235340db790b1a4a336cc0fb32e860641687329128fbd228297aada6ed07c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-04-16T14:33:04Z",
    "title_canon_sha256": "f92b264c333c1c5662cab5e3b6184b50349e5847237a2db2826e06bee1fc48bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.12119",
    "kind": "arxiv",
    "version": 2
  }
}