Pith Number

pith:5LRYROMY

pith:2023:5LRYROMYYGUM5JI4O52EFVOKRY

not attested not anchored not stored refs pending

Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve

Bartosz Naskr\k{e}cki, Matteo Verzobio, Stefan Bara\'nczuk

arxiv:2309.09699 v2 · 2023-09-18 · 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{5LRYROMYYGUM5JI4O52EFVOKRY}

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	2026-07-05T12:02:32.303882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eae388b998c1a8cea51c777442d5ca8e35bb9357d4643b56c8798feac7ebb904

Aliases

arxiv: 2309.09699 · arxiv_version: 2309.09699v2 · doi: 10.48550/arxiv.2309.09699 · pith_short_12: 5LRYROMYYGUM · pith_short_16: 5LRYROMYYGUM5JI4 · pith_short_8: 5LRYROMY

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/5LRYROMYYGUM5JI4O52EFVOKRY \
  | 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: eae388b998c1a8cea51c777442d5ca8e35bb9357d4643b56c8798feac7ebb904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b21888dd8a7ce17bb72fd7b85d3ae51a9f50d465d1cd337c643169effa5102",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-09-18T12:05:16Z",
    "title_canon_sha256": "1e1f608ed456d9c7bc8c9ac6f843e210b973c171deea4af9e8e089f9bc30b5b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.09699",
    "kind": "arxiv",
    "version": 2
  }
}