Pith Number

pith:W5Y4R2GJ

pith:2019:W5Y4R2GJKHHJR4PSCAL5OIZWGM

not attested not anchored not stored refs pending

On the Solutions of Systems of Difference Equations via Tribonacci Numbers

\.Inci Okumu\c{s}, Y\"uksel Soykan

arxiv:1906.09987 v1 · 2019-06-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5Y4R2GJKHHJR4PSCAL5OIZWGM}

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	2026-05-17T23:42:35.832199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b771c8e8c951ce98f1f21017d723363318ce2317e1cc2486726ab717c92ebd4a

Aliases

arxiv: 1906.09987 · arxiv_version: 1906.09987v1 · doi: 10.48550/arxiv.1906.09987 · pith_short_12: W5Y4R2GJKHHJ · pith_short_16: W5Y4R2GJKHHJR4PS · pith_short_8: W5Y4R2GJ

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/W5Y4R2GJKHHJR4PSCAL5OIZWGM \
  | 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: b771c8e8c951ce98f1f21017d723363318ce2317e1cc2486726ab717c92ebd4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ecc378f6f3806cb64c87740ed1755433c874b4341a13528a886d56d33c6c39c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-24T14:19:18Z",
    "title_canon_sha256": "5f6da78cc7fdcff57b656a5daab4c732feddfa754933bb516e76fe863045193f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09987",
    "kind": "arxiv",
    "version": 1
  }
}