Pith Number

pith:4AMNDJVO

pith:2022:4AMNDJVOTWLII6PNRTV26SSNYT

not attested not anchored not stored refs pending

Isogenies over quadratic fields of elliptic curves with rational $j$-invariant

Borna Vukorepa

arxiv:2203.10672 v1 · 2022-03-20 · 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{4AMNDJVOTWLII6PNRTV26SSNYT}

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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

Rational isolated $j$-invariants from $X_1(\ell^n)$ and $X_0(\ell^n)$

Receipt and verification

First computed	2026-07-05T04:06:55.927512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e018d1a6ae9d968479ed8cebaf4a4dc4d74a31c4205f19fe37a2397a46e1363b

Aliases

arxiv: 2203.10672 · arxiv_version: 2203.10672v1 · doi: 10.48550/arxiv.2203.10672 · pith_short_12: 4AMNDJVOTWLI · pith_short_16: 4AMNDJVOTWLII6PN · pith_short_8: 4AMNDJVO

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/4AMNDJVOTWLII6PNRTV26SSNYT \
  | 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: e018d1a6ae9d968479ed8cebaf4a4dc4d74a31c4205f19fe37a2397a46e1363b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf0fac495d246afd74afd4bdadaa237dac3df21b308bf357ebbcd48778013fa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-03-20T23:04:53Z",
    "title_canon_sha256": "fb7adc1d309a4ba2ee1485529bb476f67589d8238445cc1151942bcb81f60a9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.10672",
    "kind": "arxiv",
    "version": 1
  }
}