Pith Number

pith:IS7DWNPI

pith:2013:IS7DWNPIL2D6ILR5F6Z3SUOWPR

not attested not anchored not stored refs pending

On Convolved Generalized Fibonacci and Lucas Polynomials

Jos\'e L. Ram\'irez

arxiv:1308.3804 v1 · 2013-08-17 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IS7DWNPIL2D6ILR5F6Z3SUOWPR}

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	2026-05-18T03:15:42.496729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44be3b35e85e87e42e3d2fb3b951d67c7905be94dc4f1780024c331406e8b02b

Aliases

arxiv: 1308.3804 · arxiv_version: 1308.3804v1 · doi: 10.48550/arxiv.1308.3804 · pith_short_12: IS7DWNPIL2D6 · pith_short_16: IS7DWNPIL2D6ILR5 · pith_short_8: IS7DWNPI

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/IS7DWNPIL2D6ILR5F6Z3SUOWPR \
  | 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: 44be3b35e85e87e42e3d2fb3b951d67c7905be94dc4f1780024c331406e8b02b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dbb543273e5b5930410ae366cdf27578ce211734a8edd9073e18b754b36bdfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-17T19:31:55Z",
    "title_canon_sha256": "0c1d0ccd86a9b081086120d4b0dce58925970f0da9a3c7784151e994b66713fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3804",
    "kind": "arxiv",
    "version": 1
  }
}