Pith Number

pith:PLO2RPPK

pith:2018:PLO2RPPKZQZJ2YL2R7X2MAS7D6

not attested not anchored not stored refs pending

Tribonacci and Tribonacci-Lucas Matrix Sequences with Negative Subscripts

Y\"uksel Soykan

arxiv:1809.09507 v1 · 2018-09-24 · 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{PLO2RPPKZQZJ2YL2R7X2MAS7D6}

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	2026-05-18T00:04:50.976447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7adda8bdeacc329d617a8fefa6025f1f95b9734fe9b4286a761d8ea8c7a9788b

Aliases

arxiv: 1809.09507 · arxiv_version: 1809.09507v1 · doi: 10.48550/arxiv.1809.09507 · pith_short_12: PLO2RPPKZQZJ · pith_short_16: PLO2RPPKZQZJ2YL2 · pith_short_8: PLO2RPPK

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/PLO2RPPKZQZJ2YL2R7X2MAS7D6 \
  | 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: 7adda8bdeacc329d617a8fefa6025f1f95b9734fe9b4286a761d8ea8c7a9788b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8587b0ee487ad67553208a0fc4ac70ed1b14f2d7a2e41d72dcb516159732b22e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-24T15:59:25Z",
    "title_canon_sha256": "c00153356976ed034e669f33ecb26472b9e15eebbe98aa4a93d005e69d4ef40f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09507",
    "kind": "arxiv",
    "version": 1
  }
}