Pith Number

pith:QMB4Y3LV

pith:2024:QMB4Y3LVPXW2C6XBBJKJCD7O2Q

not attested not anchored not stored refs pending

Midy's Theorem in non-integer bases and divisibility of Fibonacci numbers

Edita Pelantov\'a, Zuzana Mas\'akov\'a

arxiv:2401.03874 v2 · 2024-01-08 · 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{QMB4Y3LVPXW2C6XBBJKJCD7O2Q}

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	2026-05-20T14:03:17.117001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8303cc6d757deda17ae10a54910feed40df411cbf0db001de3a01862148a5e5c

Aliases

arxiv: 2401.03874 · arxiv_version: 2401.03874v2 · doi: 10.48550/arxiv.2401.03874 · pith_short_12: QMB4Y3LVPXW2 · pith_short_16: QMB4Y3LVPXW2C6XB · pith_short_8: QMB4Y3LV

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/QMB4Y3LVPXW2C6XBBJKJCD7O2Q \
  | 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: 8303cc6d757deda17ae10a54910feed40df411cbf0db001de3a01862148a5e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "371067d3e9d479ec6e100622c24e2c4303d4683ecfb30cea45c6ede6bf96fea5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-01-08T13:06:44Z",
    "title_canon_sha256": "d35766ce9d4dc3414d3672cc2ea56f4de668c83fb5f8cef1a455271a883edc1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.03874",
    "kind": "arxiv",
    "version": 2
  }
}