Pith Number

pith:QBB6ZHRD

pith:2016:QBB6ZHRDAKJQKJC46LF3YMHKG5

not attested not anchored not stored refs pending

Two families of orthogonal polynomials on the unit circle from basic hypergeometric functions

A. Sri Ranga

arxiv:1611.08064 v4 · 2016-11-24 · 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{QBB6ZHRDAKJQKJC46LF3YMHKG5}

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	2026-05-18T00:25:02.069742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8043ec9e23029305245cf2cbbc30ea37598a4ea396518f412a964e7d75998cbe

Aliases

arxiv: 1611.08064 · arxiv_version: 1611.08064v4 · doi: 10.48550/arxiv.1611.08064 · pith_short_12: QBB6ZHRDAKJQ · pith_short_16: QBB6ZHRDAKJQKJC4 · pith_short_8: QBB6ZHRD

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/QBB6ZHRDAKJQKJC46LF3YMHKG5 \
  | 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: 8043ec9e23029305245cf2cbbc30ea37598a4ea396518f412a964e7d75998cbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11cd22f801b4e116429364a27583baa7388c758567d3b9e9a461e2d16c0ced03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-24T03:59:13Z",
    "title_canon_sha256": "4062f268a3eceb02b1429e306ccd488b37d6d04b8dcf45a11894bf5522560eb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08064",
    "kind": "arxiv",
    "version": 4
  }
}