Pith Number

pith:GCQW7IQA

pith:2014:GCQW7IQAH2GUWS6J7ITKXL37F3

not attested not anchored not stored refs pending

Duality transformation formulas for multiple elliptic hypergeometric series of type $BC$

Masatoshi Noumi, Yasuho Masuda, Yasushi Komori

arxiv:1410.6921 v3 · 2014-10-25 · 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{GCQW7IQAH2GUWS6J7ITKXL37F3}

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	2026-05-18T01:30:08.282577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a16fa2003e8d4b4bc9fa26abaf7f2ed3178bf16c57b20e85db80f8dcb89151

Aliases

arxiv: 1410.6921 · arxiv_version: 1410.6921v3 · doi: 10.48550/arxiv.1410.6921 · pith_short_12: GCQW7IQAH2GU · pith_short_16: GCQW7IQAH2GUWS6J · pith_short_8: GCQW7IQA

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/GCQW7IQAH2GUWS6J7ITKXL37F3 \
  | 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: 30a16fa2003e8d4b4bc9fa26abaf7f2ed3178bf16c57b20e85db80f8dcb89151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57c48cac5bc147fc5e6ffa82128183bfeecd3e11cc9a71d2c96b74f04321496b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-10-25T13:44:22Z",
    "title_canon_sha256": "9e8a2e98f326447e243737399f87ecf5e55f5221f8e9eb214a1b080c0c4cbb41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6921",
    "kind": "arxiv",
    "version": 3
  }
}