Pith Number

pith:WFG7NMMS

pith:2013:WFG7NMMSNJVEV3FOCY2YVXUDGE

not attested not anchored not stored refs pending

Incomplete Generalized Fibonacci and Lucas Polynomials

Jos\'e L. Ram\'irez

arxiv:1308.4192 v1 · 2013-08-19 · 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{WFG7NMMSNJVEV3FOCY2YVXUDGE}

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	2026-05-18T03:15:33.496835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14df6b1926a6a4aecae16358ade83310a43fef0713458a5c5ad0277b441a775

Aliases

arxiv: 1308.4192 · arxiv_version: 1308.4192v1 · doi: 10.48550/arxiv.1308.4192 · pith_short_12: WFG7NMMSNJVE · pith_short_16: WFG7NMMSNJVEV3FO · pith_short_8: WFG7NMMS

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/WFG7NMMSNJVEV3FOCY2YVXUDGE \
  | 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: b14df6b1926a6a4aecae16358ade83310a43fef0713458a5c5ad0277b441a775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c4e9ef9ef886b4c77895cfa5c43e66b4167e63ab84c15e208fa0ccca486da01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-19T23:55:41Z",
    "title_canon_sha256": "d8fd2c548536885700506012f0340d28823f646b17edbfde761469dcfdb95e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4192",
    "kind": "arxiv",
    "version": 1
  }
}