Pith Number

pith:LM4KGZDR

pith:2014:LM4KGZDRRVMXN3GXILHG5TRAC2

not attested not anchored not stored refs pending

Torsion of rational elliptic curves over quadratic fields II

Enrique Gonzalez-Jimenez, Jose M. Tornero

arxiv:1411.3468 v2 · 2014-11-13 · 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{LM4KGZDRRVMXN3GXILHG5TRAC2}

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	2026-05-18T01:20:01.872746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b38a364718d5976ecd742ce6ece20169892c2951e7a56b03c7e7bd2876b8d57

Aliases

arxiv: 1411.3468 · arxiv_version: 1411.3468v2 · doi: 10.48550/arxiv.1411.3468 · pith_short_12: LM4KGZDRRVMX · pith_short_16: LM4KGZDRRVMXN3GX · pith_short_8: LM4KGZDR

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/LM4KGZDRRVMXN3GXILHG5TRAC2 \
  | 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: 5b38a364718d5976ecd742ce6ece20169892c2951e7a56b03c7e7bd2876b8d57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d72325333b951f47392899260a35075cd15bf4ec758c4ac4a1e44c986551c39",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-13T08:59:25Z",
    "title_canon_sha256": "21f7b79007e88d56ef124210a1085d32dc0f5e706965619cdc5a4ca7ff1b6251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3468",
    "kind": "arxiv",
    "version": 2
  }
}