Pith Number

pith:QXU6CAAQ

pith:2011:QXU6CAAQN3VEZDY5R7Y3WO52MN

not attested not anchored not stored refs pending

On Fourier integral transforms for $q$-Fibonacci and $q$-Lucas polynomials

Decio Levi, Natig Atakishiyev, Orlando Ragnisco, Pedro Franco

arxiv:1112.2073 v2 · 2011-12-09 · 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{QXU6CAAQN3VEZDY5R7Y3WO52MN}

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	2026-05-18T01:59:14.543794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e9e100106eea4c8f1d8ff1bb3bba636a239eec028b7465d5361075eae88a8b

Aliases

arxiv: 1112.2073 · arxiv_version: 1112.2073v2 · doi: 10.48550/arxiv.1112.2073 · pith_short_12: QXU6CAAQN3VE · pith_short_16: QXU6CAAQN3VEZDY5 · pith_short_8: QXU6CAAQ

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/QXU6CAAQN3VEZDY5R7Y3WO52MN \
  | 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: 85e9e100106eea4c8f1d8ff1bb3bba636a239eec028b7465d5361075eae88a8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79e29459f171cee71d0157af550f90e5445ba41c8f52ef6f832bd0fefb1bc29e",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-09T11:22:31Z",
    "title_canon_sha256": "2a3b6c22e4372609e8a0a9855afa785f9dfc09806fa1b813ed799c0eeab87ae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2073",
    "kind": "arxiv",
    "version": 2
  }
}