Pith Number

pith:XGTPW4Z4

pith:2014:XGTPW4Z4DU5NG5TYSLMNSCZRK7

not attested not anchored not stored refs pending

The algebra of two dimensional generalized Chebyshev - Koornwinder oscillator

E. V. Damaskinsky, V. V. Borzov

arxiv:1402.5299 v2 · 2014-02-21 · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGTPW4Z4DU5NG5TYSLMNSCZRK7}

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	2026-05-18T01:44:29.647218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9a6fb733c1d3ad3767892d8d90b3157d8fe0e6218c43cde90b7deea259e8cc4

Aliases

arxiv: 1402.5299 · arxiv_version: 1402.5299v2 · doi: 10.48550/arxiv.1402.5299 · pith_short_12: XGTPW4Z4DU5N · pith_short_16: XGTPW4Z4DU5NG5TY · pith_short_8: XGTPW4Z4

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/XGTPW4Z4DU5NG5TYSLMNSCZRK7 \
  | 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: b9a6fb733c1d3ad3767892d8d90b3157d8fe0e6218c43cde90b7deea259e8cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec6f4fd7756d1228cad2d49f484c0cf32d858bd96e33677bc83965b225e1ae5",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-02-21T14:01:50Z",
    "title_canon_sha256": "a88c05c979874dd58d96c2b383b9c2b5254fcceec23cc8226ecaa043e0a3ba10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5299",
    "kind": "arxiv",
    "version": 2
  }
}