Pith Number

pith:QHA334QH

pith:2016:QHA334QHZADYZ5EYAPSIWA375A

not attested not anchored not stored refs pending

A bibasic Heine transformation formula and Ramanujan's $_2\phi_1$ transformations

Gaurav Bhatnagar

arxiv:1606.05460 v3 · 2016-06-17 · math.CO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHA334QHZADYZ5EYAPSIWA375A}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:47:31.902551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c1bdf207c8078cf49803e48b037fe81102621a3c5165a0b7efa0317dd989f5

Aliases

arxiv: 1606.05460 · arxiv_version: 1606.05460v3 · doi: 10.48550/arxiv.1606.05460 · pith_short_12: QHA334QHZADY · pith_short_16: QHA334QHZADYZ5EY · pith_short_8: QHA334QH

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/QHA334QHZADYZ5EYAPSIWA375A \
  | 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: 81c1bdf207c8078cf49803e48b037fe81102621a3c5165a0b7efa0317dd989f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "535715d58f1be67f95300e52a26779cd2daaf868ed5d9543bc621ff175b59f44",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-17T09:25:18Z",
    "title_canon_sha256": "85eaa50079df8e5979d90567c8443acf62a12c2fd0d2d42fd1bc949e755c682f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05460",
    "kind": "arxiv",
    "version": 3
  }
}