Pith Number

pith:MOO3XXA7

pith:2023:MOO3XXA76M4ZDI7DNPTI4QDWKO

not attested not anchored not stored refs pending

On determinants involving second-order recurrent sequences

Zhi-Wei Sun

arxiv:2302.08315 v2 · 2023-02-16 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOO3XXA76M4ZDI7DNPTI4QDWKO}

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	2026-07-05T05:43:20.745243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

639dbbdc1ff33991a3e36be68e4076539167891e39edd3e612fd0cfa042e7206

Aliases

arxiv: 2302.08315 · arxiv_version: 2302.08315v2 · doi: 10.48550/arxiv.2302.08315 · pith_short_12: MOO3XXA76M4Z · pith_short_16: MOO3XXA76M4ZDI7D · pith_short_8: MOO3XXA7

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/MOO3XXA76M4ZDI7DNPTI4QDWKO \
  | 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: 639dbbdc1ff33991a3e36be68e4076539167891e39edd3e612fd0cfa042e7206

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d0f55eff1633505681930ea631adfd900d918127a04a22e25f63140107609d6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-02-16T14:20:34Z",
    "title_canon_sha256": "51fa789893d46cdd06ec6311bceb50cceff973a8926767c877d0fa6f1df14c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08315",
    "kind": "arxiv",
    "version": 2
  }
}