Pith Number

pith:P2D37UYJ

pith:2020:P2D37UYJPYDDU74JE7YUTO652W

not attested not anchored not stored refs pending

Sporadic Cubic Torsion

Anastassia Etropolski, David Zureick-Brown, Jackson S. Morrow, Maarten Derickx, Mark van Hoeij

arxiv:2007.13929 v2 · 2020-07-28 · 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{P2D37UYJPYDDU74JE7YUTO652W}

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

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

Receipt and verification

First computed	2026-07-05T08:26:08.490366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e87bfd3097e063a7f8927f149bbddd5a08bb09002a94fa9374e38bae86f1b15

Aliases

arxiv: 2007.13929 · arxiv_version: 2007.13929v2 · doi: 10.48550/arxiv.2007.13929 · pith_short_12: P2D37UYJPYDD · pith_short_16: P2D37UYJPYDDU74J · pith_short_8: P2D37UYJ

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/P2D37UYJPYDDU74JE7YUTO652W \
  | 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: 7e87bfd3097e063a7f8927f149bbddd5a08bb09002a94fa9374e38bae86f1b15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f18eab2b8e893cafadb38c944cbab5973e2785970127d1cd09189a960d2dfc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-07-28T01:16:54Z",
    "title_canon_sha256": "e337a13eb6284a081300a4db03b3324011fcaccf83ae6b1207a3d8c375280367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.13929",
    "kind": "arxiv",
    "version": 2
  }
}