Pith Number

pith:LE3YIJ5L

pith:2021:LE3YIJ5LX2PPIFNKEQCT6LQJAY

not attested not anchored not stored refs pending

A recurrence relation for elliptic divisibility sequences

Matteo Verzobio

arxiv:2102.07573 v2 · 2021-02-15 · 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{LE3YIJ5LX2PPIFNKEQCT6LQJAY}

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	2026-07-05T07:57:25.335648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59378427abbe9ef415aa24053f2e090626faa51b4e1ce62a11e2be7af1d61062

Aliases

arxiv: 2102.07573 · arxiv_version: 2102.07573v2 · doi: 10.48550/arxiv.2102.07573 · pith_short_12: LE3YIJ5LX2PP · pith_short_16: LE3YIJ5LX2PPIFNK · pith_short_8: LE3YIJ5L

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/LE3YIJ5LX2PPIFNKEQCT6LQJAY \
  | 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: 59378427abbe9ef415aa24053f2e090626faa51b4e1ce62a11e2be7af1d61062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dad68c1836a7219f9011b81c88065e8874aa531b168da5ce6cc0deef276301a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-02-15T14:21:05Z",
    "title_canon_sha256": "564b99b3d12af5c8faeeef307d19001e6840e0c026b796cef21080cd824dccdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.07573",
    "kind": "arxiv",
    "version": 2
  }
}