Pith Number

pith:LEW4X6MS

pith:2018:LEW4X6MSCFXN5GJML33VIDHQRX

not attested not anchored not stored refs pending

Groups of generalized $G$-type and applications to torsion subgroups of rational elliptic curves over infinite extensions of $\mathbb{Q}$

Harris B. Daniels, Jeffrey Hatley, Maarten Derickx

arxiv:1803.09614 v5 · 2018-03-26 · 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{LEW4X6MSCFXN5GJML33VIDHQRX}

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	2026-05-17T23:43:18.109516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

592dcbf992116ede992c5ef7540cf08de17035e303209f8dc9bfd1c263624b69

Aliases

arxiv: 1803.09614 · arxiv_version: 1803.09614v5 · doi: 10.48550/arxiv.1803.09614 · pith_short_12: LEW4X6MSCFXN · pith_short_16: LEW4X6MSCFXN5GJM · pith_short_8: LEW4X6MS

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/LEW4X6MSCFXN5GJML33VIDHQRX \
  | 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: 592dcbf992116ede992c5ef7540cf08de17035e303209f8dc9bfd1c263624b69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb44b42df1a790cea71ce2730dcbf1fa75507892d8fa72fcb99668a85952dbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-26T14:24:37Z",
    "title_canon_sha256": "e62413f2915f7c95f560e275f5ba67821f1a6b0a8916063825e3a6f6e01eb9a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09614",
    "kind": "arxiv",
    "version": 5
  }
}