Pith Number

pith:AYLZ6VUL

pith:2025:AYLZ6VULYLDULIUFRIIKQMELD3

not attested not anchored not stored refs pending

Counting 5-isogenies of elliptic curves over $\mathbb{Q}$

Changho Han, Oana Padurariu, Santiago Arango-Pi\~neros, Sun Woo Park

arxiv:2504.07750 v2 · 2025-04-10 · 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{AYLZ6VULYLDULIUFRIIKQMELD3}

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.

Cited by

1 paper in Pith

Selmer groups of families of elliptic curves with an $\ell$-isogeny

Receipt and verification

First computed	2026-07-05T11:17:24.028259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06179f568bc2c745a2858a10a8308b1ec3db3b00cd6af34d0bd210dbb7a67e66

Aliases

arxiv: 2504.07750 · arxiv_version: 2504.07750v2 · doi: 10.48550/arxiv.2504.07750 · pith_short_12: AYLZ6VULYLDU · pith_short_16: AYLZ6VULYLDULIUF · pith_short_8: AYLZ6VUL

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/AYLZ6VULYLDULIUFRIIKQMELD3 \
  | 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: 06179f568bc2c745a2858a10a8308b1ec3db3b00cd6af34d0bd210dbb7a67e66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0acbce3ffe5d1e8d54af48753a1ec0ef5d3284b0e995354711a41b0869d126c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-10T13:45:11Z",
    "title_canon_sha256": "f073c8686eab13898ea5941d2e702cec244dbb2743afe5f446a6509672f29b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.07750",
    "kind": "arxiv",
    "version": 2
  }
}