Pith Number

pith:4LKP7NPS

pith:2015:4LKP7NPSXQIYBWYWMVAPDE2I4S

not attested not anchored not stored refs pending

On generalized complete $(p,q)$-elliptic integrals

Barkat Ali Bhayo, Li Yin, Nihat G\"okhan G\"o\u{g}\"u\c{s}

arxiv:1507.00031 v3 · 2015-06-30 · 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{4LKP7NPSXQIYBWYWMVAPDE2I4S}

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	2026-05-17T23:57:33.276750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2d4ffb5f2bc1180db166540f19348e4b849f8957d59425a80dd17935ca42c88

Aliases

arxiv: 1507.00031 · arxiv_version: 1507.00031v3 · doi: 10.48550/arxiv.1507.00031 · pith_short_12: 4LKP7NPSXQIY · pith_short_16: 4LKP7NPSXQIYBWYW · pith_short_8: 4LKP7NPS

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/4LKP7NPSXQIYBWYWMVAPDE2I4S \
  | 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: e2d4ffb5f2bc1180db166540f19348e4b849f8957d59425a80dd17935ca42c88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8d18a3edf357915c5c4a8fb4ceed74880210bab04f2cdf7ad84037916984dda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-30T20:47:39Z",
    "title_canon_sha256": "62e2139e331d63af360aa99b3c23c184533fd5e65e02d0482b922bfba4800e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00031",
    "kind": "arxiv",
    "version": 3
  }
}