Pith Number

pith:KPCXLUW7

pith:2024:KPCXLUW73N5XAVP7DSDSH5A3OQ

not attested not anchored not stored refs pending

Accelerating the Hypergeometric Function with the Beta Integral to Derive New Infinite Series for $\pi$ and Values of the Gamma Function

Cetin Hakimoglu

arxiv:2402.08693 v1 · 2024-02-12 · 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{KPCXLUW73N5XAVP7DSDSH5A3OQ}

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.

Cited by

2 papers in Pith

Functional Dilogarithm Identities in Quadratic Fields

Receipt and verification

First computed	2026-07-05T07:45:01.000400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c575d2dfdb7b7055ff1c8723f41b7410af6e6e6f85aed8a262be3e77edab61

Aliases

arxiv: 2402.08693 · arxiv_version: 2402.08693v1 · doi: 10.48550/arxiv.2402.08693 · pith_short_12: KPCXLUW73N5X · pith_short_16: KPCXLUW73N5XAVP7 · pith_short_8: KPCXLUW7

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/KPCXLUW73N5XAVP7DSDSH5A3OQ \
  | 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: 53c575d2dfdb7b7055ff1c8723f41b7410af6e6e6f85aed8a262be3e77edab61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08940feb9f2cc30604633db655c6bb1766e281aa5ed8c4ac2a4dab24610e48a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-02-12T19:40:33Z",
    "title_canon_sha256": "763f1db6cb27b68e4738163f8c23ce646c9518f43b3bb843a1e4eaec971f4ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.08693",
    "kind": "arxiv",
    "version": 1
  }
}