Pith Number

pith:DBPGELII

pith:2019:DBPGELIIY7GBSM4U5DKS5UKWO3

not attested not anchored not stored refs pending

Some identities between basic hypergeometric series deriving from a new Bailey-type transformation

James Mc Laughlin, Peter Zimmer

arxiv:1901.00951 v1 · 2019-01-04 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBPGELIIY7GBSM4U5DKS5UKWO3}

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	2026-05-17T23:56:57.597822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

185e622d08c7cc193394e8d52ed15676eccf0f6f24a17a5a0f01646e0cc58db5

Aliases

arxiv: 1901.00951 · arxiv_version: 1901.00951v1 · doi: 10.48550/arxiv.1901.00951 · pith_short_12: DBPGELIIY7GB · pith_short_16: DBPGELIIY7GBSM4U · pith_short_8: DBPGELII

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/DBPGELIIY7GBSM4U5DKS5UKWO3 \
  | 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: 185e622d08c7cc193394e8d52ed15676eccf0f6f24a17a5a0f01646e0cc58db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb2f8462b4ca83e5132b3233a98a6c8776cb5fab1e4cbc87bbd56638a4d917a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-04T00:13:19Z",
    "title_canon_sha256": "db77081d397ba23e796276c31f8d0712cc7fd845dd962677d31482ac9b38a24c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00951",
    "kind": "arxiv",
    "version": 1
  }
}