Pith Number

pith:RDWWNFZ5

pith:2019:RDWWNFZ5OYYB6JSWXRT7KEYRJY

not attested not anchored not stored refs pending

Explicit characterization of the torsion growth of rational elliptic curves with complex multiplication over quadratic fields

Enrique Gonz\'alez-Jim\'enez

arxiv:1909.00637 v2 · 2019-09-02 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RDWWNFZ5OYYB6JSWXRT7KEYRJY}

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	2026-07-05T02:52:56.060458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88ed66973d76301f2656bc67f513114e348103b1e53f2ae5313e3f753a189bdd

Aliases

arxiv: 1909.00637 · arxiv_version: 1909.00637v2 · doi: 10.48550/arxiv.1909.00637 · pith_short_12: RDWWNFZ5OYYB · pith_short_16: RDWWNFZ5OYYB6JSW · pith_short_8: RDWWNFZ5

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/RDWWNFZ5OYYB6JSWXRT7KEYRJY \
  | 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: 88ed66973d76301f2656bc67f513114e348103b1e53f2ae5313e3f753a189bdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdbc0e000c1c5a1f0d258f96e2befb209104afb9e40230d6dd6db00fd8d8c60d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-09-02T09:49:44Z",
    "title_canon_sha256": "90e007fd129bfc2996f7828689dbbb65e6cfa24de8b3f6a4cbadda9575681103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00637",
    "kind": "arxiv",
    "version": 2
  }
}