Pith Number

pith:AI4LLAC3

pith:2014:AI4LLAC3JVS4E3WOYP5XDNS752

not attested not anchored not stored refs pending

Riemann-Liouville and higher dimensional Harday operators for non-negative decreasing function in $L^{p(\cdot)}$ spaces

Ghulam Murtaza, Muhammad Sarwar

arxiv:1403.1033 v1 · 2014-03-05 · 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{AI4LLAC3JVS4E3WOYP5XDNS752}

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	2026-05-18T02:57:05.899283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0238b5805b4d65c26ecec3fb71b65feebdd068b93ec3ac536633ff99222e843b

Aliases

arxiv: 1403.1033 · arxiv_version: 1403.1033v1 · doi: 10.48550/arxiv.1403.1033 · pith_short_12: AI4LLAC3JVS4 · pith_short_16: AI4LLAC3JVS4E3WO · pith_short_8: AI4LLAC3

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/AI4LLAC3JVS4E3WOYP5XDNS752 \
  | 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: 0238b5805b4d65c26ecec3fb71b65feebdd068b93ec3ac536633ff99222e843b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6161308db85eefa5367169f0c97f6066c86ad01b0a0d4e83da60d2b116e730db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-03-05T08:05:07Z",
    "title_canon_sha256": "6e4a098dc5e39cdb014c6be63cf413c8aed4608b5d1666461f59bed61ac5ace3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1033",
    "kind": "arxiv",
    "version": 1
  }
}