Pith Number

pith:JWTHAPPE

pith:2012:JWTHAPPESSUHEF6FQNSQHVEDFF

not attested not anchored not stored refs pending

High rank elliptic curves with prescribed torsion group over quadratic fields

Andrej Dujella, Juan Carlos Peral, Julian Aguirre, Mirela Jukic Bokun

arxiv:1204.5343 v2 · 2012-04-24 · 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{JWTHAPPESSUHEF6FQNSQHVEDFF}

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	2026-05-18T01:25:31.045612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da6703de494a87217c5836503d48329469cd7b007507c4cbee93d9d33a62402

Aliases

arxiv: 1204.5343 · arxiv_version: 1204.5343v2 · doi: 10.48550/arxiv.1204.5343 · pith_short_12: JWTHAPPESSUH · pith_short_16: JWTHAPPESSUHEF6F · pith_short_8: JWTHAPPE

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/JWTHAPPESSUHEF6FQNSQHVEDFF \
  | 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: 4da6703de494a87217c5836503d48329469cd7b007507c4cbee93d9d33a62402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0989ea5aa947b891b2b795db4539f999bb5194d3c6f64fe995ed952ea419c3ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-24T11:40:56Z",
    "title_canon_sha256": "070578a57a57f8b989c6ea2fcbb4bbd1807c2becd2b48bcbbe186ea552146508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5343",
    "kind": "arxiv",
    "version": 2
  }
}