Pith Number

pith:O4IRHSNP

pith:2025:O4IRHSNPBTUVX2EYUMW5SYIPZE

not attested not anchored not stored refs pending

On differentiation of integrals in Lebesgue spaces

Dariusz Kosz, Luz Roncal, Marco Fraccaroli

arxiv:2505.05425 v1 · 2025-05-08 · 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{O4IRHSNPBTUVX2EYUMW5SYIPZE}

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	2026-07-05T11:00:24.221417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771113c9af0ce95be898a32dd9610fc92c8892646995822719ad80a421ff5b0f

Aliases

arxiv: 2505.05425 · arxiv_version: 2505.05425v1 · doi: 10.48550/arxiv.2505.05425 · pith_short_12: O4IRHSNPBTUV · pith_short_16: O4IRHSNPBTUVX2EY · pith_short_8: O4IRHSNP

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/O4IRHSNPBTUVX2EYUMW5SYIPZE \
  | 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: 771113c9af0ce95be898a32dd9610fc92c8892646995822719ad80a421ff5b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c85c8a08b9367cca78ecdbb3fef67d1d63a1818253fe97420666fe179e0985",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-05-08T17:13:43Z",
    "title_canon_sha256": "7dffdf769661b06b6326f52018c4839933dcaf9177e6aee2f11b2235f66adb74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.05425",
    "kind": "arxiv",
    "version": 1
  }
}