Pith Number

pith:CUP7TEK4

pith:2025:CUP7TEK4MVGZZ3VCDEC4TXEKYY

not attested not anchored not stored refs pending

Ces\`aro-type operators on mixed norm spaces

Alejandro Mas, \'Oscar Blasco

arxiv:2507.20586 v1 · 2025-07-28 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUP7TEK4MVGZZ3VCDEC4TXEKYY}

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	2026-07-05T11:44:22.106920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

151ff9915c654d9ceea21905c9dc8ac603954ab113aaae7f14d3a3d0132e137a

Aliases

arxiv: 2507.20586 · arxiv_version: 2507.20586v1 · doi: 10.48550/arxiv.2507.20586 · pith_short_12: CUP7TEK4MVGZ · pith_short_16: CUP7TEK4MVGZZ3VC · pith_short_8: CUP7TEK4

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/CUP7TEK4MVGZZ3VCDEC4TXEKYY \
  | 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: 151ff9915c654d9ceea21905c9dc8ac603954ab113aaae7f14d3a3d0132e137a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaeffcd906353697afbce61778317f1cd95b0be1a6adebd9a202498a356934a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-07-28T07:45:19Z",
    "title_canon_sha256": "7c7cff21aa1c15a1eaddd845c9a9f07b4b19a20d2770cc40528c38e239844b0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20586",
    "kind": "arxiv",
    "version": 1
  }
}