Pith Number

pith:SSN3BFGR

pith:2026:SSN3BFGR5LQOWWC6LHCGMDPEZG

not attested not anchored not stored refs pending

Anisotropic Caffarelli-Kohn-Nirenberg inequalities with higher-order fractional derivatives

Diego Maldonado, Javier Soria

arxiv:2606.22583 v1 · 2026-06-21 · 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{SSN3BFGR5LQOWWC6LHCGMDPEZG}

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	2026-06-23T02:13:42.187089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

949bb094d1eae0eb585e59c4660de4c9a69ae5058ee991dd1c1ae13f69dc1af9

Aliases

arxiv: 2606.22583 · arxiv_version: 2606.22583v1 · doi: 10.48550/arxiv.2606.22583 · pith_short_12: SSN3BFGR5LQO · pith_short_16: SSN3BFGR5LQOWWC6 · pith_short_8: SSN3BFGR

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/SSN3BFGR5LQOWWC6LHCGMDPEZG \
  | 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: 949bb094d1eae0eb585e59c4660de4c9a69ae5058ee991dd1c1ae13f69dc1af9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06c3e80b063453fc2c462e40e4da7ef232a4f7259f3a6f115ad1349db8403bf5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-21T16:38:36Z",
    "title_canon_sha256": "758735895975afbda15cc492ee9f397f0e1d2f5301313b808994149c0ef05037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22583",
    "kind": "arxiv",
    "version": 1
  }
}