Pith Number

pith:Q4XHZEQN

pith:2015:Q4XHZEQNLFTMPOXZIX2UGDWQCJ

not attested not anchored not stored refs pending

Quadratic transformations for orthogonal polynomials in one and two variables

Tom H. Koornwinder

arxiv:1512.09294 v2 · 2015-12-31 · 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{Q4XHZEQNLFTMPOXZIX2UGDWQCJ}

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	2026-05-18T00:10:30.965894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872e7c920d5966c7baf945f5430ed012544d493615ca3fc82b97248673ffccea

Aliases

arxiv: 1512.09294 · arxiv_version: 1512.09294v2 · doi: 10.48550/arxiv.1512.09294 · pith_short_12: Q4XHZEQNLFTM · pith_short_16: Q4XHZEQNLFTMPOXZ · pith_short_8: Q4XHZEQN

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/Q4XHZEQNLFTMPOXZIX2UGDWQCJ \
  | 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: 872e7c920d5966c7baf945f5430ed012544d493615ca3fc82b97248673ffccea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ab6074fb2db2b8091ad207e50080c886209464d6339bb59b618255cfbf9ddb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-31T14:32:28Z",
    "title_canon_sha256": "35eee8640a7476f45454d090010109772a1c9547e61a0537bff83a373a68f20b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09294",
    "kind": "arxiv",
    "version": 2
  }
}