Pith Number

pith:47PMZWKZ

pith:2025:47PMZWKZVPF2V7N7UIISFH5EL3

not attested not anchored not stored refs pending

Terminating representations, transformations and summations for the $q$ and $q^{-1}$-symmetric subfamilies of the Askey--Wilson polynomials

Howard S. Cohl, Linus Ge, Roberto S. Costas-Santos

arxiv:2508.08162 v1 · 2025-08-11 · 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{47PMZWKZVPF2V7N7UIISFH5EL3}

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	2026-07-05T11:52:09.215263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7deccd959abcbaafdbfa211229fa45efa2eb2f8e22d01c8d70bdeb174f12a75

Aliases

arxiv: 2508.08162 · arxiv_version: 2508.08162v1 · doi: 10.48550/arxiv.2508.08162 · pith_short_12: 47PMZWKZVPF2 · pith_short_16: 47PMZWKZVPF2V7N7 · pith_short_8: 47PMZWKZ

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/47PMZWKZVPF2V7N7UIISFH5EL3 \
  | 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: e7deccd959abcbaafdbfa211229fa45efa2eb2f8e22d01c8d70bdeb174f12a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6ec7920de6d4b0cb3a7ccf6e61bd1c95a3e78916c6712b028381a4465f601ca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-08-11T16:38:52Z",
    "title_canon_sha256": "81a870e76e85a1f37759160c550367d385e83827ba107b9e858a0a19ac8b9d8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08162",
    "kind": "arxiv",
    "version": 1
  }
}