Pith Number

pith:2RNV2XCR

pith:2023:2RNV2XCRUV5SLJGLNPFCTH56EU

not attested not anchored not stored refs pending

Inequalities on Tent Spaces and Closed Range Integration Operators on spaces of Average Radial Integrability

Petros Galanopoulos, Tanaus\'u Aguilar-Hern\'andez

arxiv:2306.05408 v2 · 2023-06-08 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RNV2XCRUV5SLJGLNPFCTH56EU}

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	2026-07-05T06:37:33.467948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d45b5d5c51a57b25a4cb6bca299fbe2515eabc30a89e61412a98620a0a967f1a

Aliases

arxiv: 2306.05408 · arxiv_version: 2306.05408v2 · doi: 10.48550/arxiv.2306.05408 · pith_short_12: 2RNV2XCRUV5S · pith_short_16: 2RNV2XCRUV5SLJGL · pith_short_8: 2RNV2XCR

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/2RNV2XCRUV5SLJGLNPFCTH56EU \
  | 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: d45b5d5c51a57b25a4cb6bca299fbe2515eabc30a89e61412a98620a0a967f1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db0cb6d8e80a83603e4e1c5aec65829a7c8277a9d945f9a59d9d3681466306d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2023-06-08T17:55:31Z",
    "title_canon_sha256": "5a9e024712dfee4896f16a66780caa9bda05024c132e01605b27d44ac9927586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.05408",
    "kind": "arxiv",
    "version": 2
  }
}