Pith Number

pith:ZW37VXJX

pith:2024:ZW37VXJXM6ZHYH6AMHCNJRJONY

not attested not anchored not stored refs pending

Machine Learning Approaches to the Shafarevich-Tate Group of Elliptic Curves

AJ Fong, Angelica Babei, Barinder S. Banwait, Deependra Singh, Xiaoyu Huang

arxiv:2412.18576 v2 · 2024-12-24 · math.NT · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZW37VXJXM6ZHYH6AMHCNJRJONY}

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

Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums

Receipt and verification

First computed	2026-07-05T10:22:55.222687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdb7fadd3767b27c1fc061c4d4c52e6e091fcea3ec177ab0ce053fdd0a97dd68

Aliases

arxiv: 2412.18576 · arxiv_version: 2412.18576v2 · doi: 10.48550/arxiv.2412.18576 · pith_short_12: ZW37VXJXM6ZH · pith_short_16: ZW37VXJXM6ZHYH6A · pith_short_8: ZW37VXJX

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/ZW37VXJXM6ZHYH6AMHCNJRJONY \
  | 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: cdb7fadd3767b27c1fc061c4d4c52e6e091fcea3ec177ab0ce053fdd0a97dd68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "040c12c913802a9824a14945564060d91f6a8dcdf3f4280ec56d0189d10c5319",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-24T18:01:19Z",
    "title_canon_sha256": "18e2d8eefe065313caed634f56c8858fa2431e13d070f088d4284b89f831d063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18576",
    "kind": "arxiv",
    "version": 2
  }
}