Pith Number

pith:SGQCBB7I

pith:2018:SGQCBB7IMVFGR7OMXNOOBVJSBM

not attested not anchored not stored refs pending

Quadratic Transformations of Hypergeometric Function and Series with Harmonic Numbers

Martin Nicholson

arxiv:1801.02428 v3 · 2018-01-08 · 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{SGQCBB7IMVFGR7OMXNOOBVJSBM}

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	2026-07-05T00:22:21.986934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91a02087e8654a68fdccbb5ce0d5320b09186762c34c2857964c1eacf2ebd13f

Aliases

arxiv: 1801.02428 · arxiv_version: 1801.02428v3 · doi: 10.48550/arxiv.1801.02428 · pith_short_12: SGQCBB7IMVFG · pith_short_16: SGQCBB7IMVFGR7OM · pith_short_8: SGQCBB7I

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/SGQCBB7IMVFGR7OMXNOOBVJSBM \
  | 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: 91a02087e8654a68fdccbb5ce0d5320b09186762c34c2857964c1eacf2ebd13f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b17f0c8076c72d64f12ec63583770a8a813aafd73ce04ac0cb5f1007098e5c67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-01-08T14:04:06Z",
    "title_canon_sha256": "93978af11aa04f7333b94ae2fcf4e28235992fca14fc8be603a880a6463bf274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02428",
    "kind": "arxiv",
    "version": 3
  }
}