Pith Number

pith:YYXP5JCS

pith:2026:YYXP5JCS6M2OJASIA2V6SQ5TOZ

not attested not anchored not stored refs pending

Extension of the Equation $\sum\limits_{j=1}^{k}jF_{j}^{p}=F_{n}^{q}$ to a Family of Lucas Sequences

Benjamin Earp-Lynch, Omar Kihel, Puntani Pongsumpun, Simon Earp-Lynch

arxiv:2607.09105 v1 · 2026-07-10 · 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{YYXP5JCS6M2OJASIA2V6SQ5TOZ}

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	2026-07-13T01:18:42.607657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c62efea452f334e4824806abe943b3766426d6a22cd20ed9a567596c8b5b2176

Aliases

arxiv: 2607.09105 · arxiv_version: 2607.09105v1 · doi: 10.48550/arxiv.2607.09105 · pith_short_12: YYXP5JCS6M2O · pith_short_16: YYXP5JCS6M2OJASI · pith_short_8: YYXP5JCS

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/YYXP5JCS6M2OJASIA2V6SQ5TOZ \
  | 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: c62efea452f334e4824806abe943b3766426d6a22cd20ed9a567596c8b5b2176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9916d679f6b579486e6e814b88abf8f18560007550f445b14611a6c720d33eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-10T05:41:48Z",
    "title_canon_sha256": "79ed366f1a242550c873189481f9e36e2b92c6aabf7162962088d1c21e47c689"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09105",
    "kind": "arxiv",
    "version": 1
  }
}