Pith Number

pith:RSAWX2ZI

pith:2026:RSAWX2ZIJQCFGP3YW7J45TUU7R

not attested not anchored not stored refs pending

Weighted estimates for fractional integrals with Distances to Bounded Median Porous Sets and applications to Hardy--Sobolev Inequalities

Diego Maldonado, Javier Soria

arxiv:2607.03769 v1 · 2026-07-04 · 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{RSAWX2ZIJQCFGP3YW7J45TUU7R}

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	2026-07-07T02:18:06.673629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c816beb284c04533f78b7d3cece94fc6de8bf23c072454b72d861d9768e80a3

Aliases

arxiv: 2607.03769 · arxiv_version: 2607.03769v1 · doi: 10.48550/arxiv.2607.03769 · pith_short_12: RSAWX2ZIJQCF · pith_short_16: RSAWX2ZIJQCFGP3Y · pith_short_8: RSAWX2ZI

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/RSAWX2ZIJQCFGP3YW7J45TUU7R \
  | 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: 8c816beb284c04533f78b7d3cece94fc6de8bf23c072454b72d861d9768e80a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87aaf41349cefa79ae795e8a28269cfcd1a701780c7fc0261c79f1fb97fd93d3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-04T08:39:54Z",
    "title_canon_sha256": "ff7484807adf184aa79ee2301a67991031cbfdfa61252e678dff06c02f607582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03769",
    "kind": "arxiv",
    "version": 1
  }
}