Pith Number

pith:2CT2ZOZK

pith:2011:2CT2ZOZKZHTAO6CYDTVDYNQDAY

not attested not anchored not stored refs pending

Kernel identities for van Diejen's $q$-difference operators and transformation formulas for multiple basic hypergeometric series

Yasuho Masuda

arxiv:1112.4230 v2 · 2011-12-19 · math.CA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2CT2ZOZKZHTAO6CYDTVDYNQDAY}

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	2026-05-18T03:44:33.783207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0a7acbb2ac9e60778581cea3c3603060bdf63c67de9b512c52bf436bfedc23d

Aliases

arxiv: 1112.4230 · arxiv_version: 1112.4230v2 · doi: 10.48550/arxiv.1112.4230 · pith_short_12: 2CT2ZOZKZHTA · pith_short_16: 2CT2ZOZKZHTAO6CY · pith_short_8: 2CT2ZOZK

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/2CT2ZOZKZHTAO6CYDTVDYNQDAY \
  | 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: d0a7acbb2ac9e60778581cea3c3603060bdf63c67de9b512c52bf436bfedc23d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "235eead16609a54d10b87eafef4e359a494857601b74bcc412de72017dc9f152",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-19T03:36:00Z",
    "title_canon_sha256": "4522b35dc659a3d3b6d40a5f28521d46f413508477e636ec8a05aed6989717f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4230",
    "kind": "arxiv",
    "version": 2
  }
}