Pith Number

pith:D5Z3NRKT

pith:2025:D5Z3NRKTRCDJW5LHNDLNR4UOSF

not attested not anchored not stored refs pending

Super-Exponential Approximation of the Riemann-Liouville Fractional Integral via Gegenbauer-Based Fractional Approximation Methods

Kareem T. Elgindy

arxiv:2504.09526 v2 · 2025-04-13 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5Z3NRKTRCDJW5LHNDLNR4UOSF}

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	2026-07-05T11:08:19.183010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f73b6c55388869b756768d6d8f28e9153c270cbdd7846203529de8dc4878b54

Aliases

arxiv: 2504.09526 · arxiv_version: 2504.09526v2 · doi: 10.48550/arxiv.2504.09526 · pith_short_12: D5Z3NRKTRCDJ · pith_short_16: D5Z3NRKTRCDJW5LH · pith_short_8: D5Z3NRKT

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/D5Z3NRKTRCDJW5LHNDLNR4UOSF \
  | 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: 1f73b6c55388869b756768d6d8f28e9153c270cbdd7846203529de8dc4878b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e7ace032b89746b7701daff40edd0c81ca05cff5cd50fe109e0f94bb9f9d4f5",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-04-13T11:26:12Z",
    "title_canon_sha256": "5cb1412d637ef839fd2fb05c0e769dd9f0dc8e3cd8e09f2cd76f4a6e6646033c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.09526",
    "kind": "arxiv",
    "version": 2
  }
}