Pith Number

pith:KLDLDFPS

pith:2016:KLDLDFPS465EJXLSWWNRPBAYTG

not attested not anchored not stored refs pending

Mathieu-type series built by $(p, q)$-extended Gaussian hypergeometric function

Junesang Choi, Rakesh K. Parmar, Tibor K. Pog\'any

arxiv:1604.05077 v1 · 2016-04-18 · 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{KLDLDFPS465EJXLSWWNRPBAYTG}

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	2026-05-18T01:16:55.795699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52c6b195f2e7ba44dd72b59b17841899871eb0afc58647112c171f485efd30bb

Aliases

arxiv: 1604.05077 · arxiv_version: 1604.05077v1 · doi: 10.48550/arxiv.1604.05077 · pith_short_12: KLDLDFPS465E · pith_short_16: KLDLDFPS465EJXLS · pith_short_8: KLDLDFPS

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/KLDLDFPS465EJXLSWWNRPBAYTG \
  | 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: 52c6b195f2e7ba44dd72b59b17841899871eb0afc58647112c171f485efd30bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d31b7339b002c8764b35a855dbfdbcf067c6f8027343d6bf9778d07c9b07e8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-18T10:39:19Z",
    "title_canon_sha256": "557f6831c2bdbd5a4395465413b51a138f014317ecc8075ae00c15374f22e2d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05077",
    "kind": "arxiv",
    "version": 1
  }
}