Pith Number

pith:2JACCTG5

pith:2015:2JACCTG5DA4NKWEWYLEQYZIYWQ

not attested not anchored not stored refs pending

On a divisibility relation for Lucas sequences

Amalia Pizarro-Madariaga, Florian Luca, Pantelimon Stanica, Takao Komatsu, Yuri Bilu

arxiv:1511.01970 v2 · 2015-11-06 · 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{2JACCTG5DA4NKWEWYLEQYZIYWQ}

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	2026-05-18T01:26:02.438674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d240214cdd1838d55896c2c90c6518b402590b5cba2aa0fba97be5d774f0db75

Aliases

arxiv: 1511.01970 · arxiv_version: 1511.01970v2 · doi: 10.48550/arxiv.1511.01970 · pith_short_12: 2JACCTG5DA4N · pith_short_16: 2JACCTG5DA4NKWEW · pith_short_8: 2JACCTG5

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/2JACCTG5DA4NKWEWYLEQYZIYWQ \
  | 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: d240214cdd1838d55896c2c90c6518b402590b5cba2aa0fba97be5d774f0db75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74d7ebd07aef1eafeb686391ed11c91aa9995ec77738cef66722e50eb22d5f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-06T02:04:05Z",
    "title_canon_sha256": "f6d5e77373b4c815598beda3bfe89064c22852da8f8e3a74aebb6fe8cde87943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01970",
    "kind": "arxiv",
    "version": 2
  }
}