Pith Number

pith:BTUPTXAB

pith:2012:BTUPTXABCTFYAST2UHFVWHPFVH

not attested not anchored not stored refs pending

A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials

Hiroyuki Tagawa, Jiang Zeng, Masao Ishikawa, Victor J. W. Guo

arxiv:1212.1887 v2 · 2012-12-09 · math.CO · 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{BTUPTXABCTFYAST2UHFVWHPFVH}

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	2026-05-18T03:16:17.074070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ce8f9dc0114cb804a7aa1cb5b1de5a9e5abbd0cf219bba07dcf416d335033bd

Aliases

arxiv: 1212.1887 · arxiv_version: 1212.1887v2 · doi: 10.48550/arxiv.1212.1887 · pith_short_12: BTUPTXABCTFY · pith_short_16: BTUPTXABCTFYAST2 · pith_short_8: BTUPTXAB

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/BTUPTXABCTFYAST2UHFVWHPFVH \
  | 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: 0ce8f9dc0114cb804a7aa1cb5b1de5a9e5abbd0cf219bba07dcf416d335033bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abe8ee949c8d948a49dab3f68d2f300654c35424ab9fd2f6a13f2ee40d010621",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-09T12:46:27Z",
    "title_canon_sha256": "79313dcb51d178b645f1c0f89fba93315b19ae21e3224fb9a7b747aeae0b166e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1887",
    "kind": "arxiv",
    "version": 2
  }
}