Pith Number

pith:3W5Q7QQI

pith:2004:3W5Q7QQI3JYVRRHADVJB2UWAYA

not attested not anchored not stored refs pending

Constructing Elliptic Curves over $\mathbb{Q}(T)$ with Moderate Rank

Alvaro Lozano-Robledo, Scott Arms, Steven J. Miller

arxiv:math/0406579 v1 · 2004-06-28 · 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{3W5Q7QQI3JYVRRHADVJB2UWAYA}

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	2026-05-18T04:35:55.544204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddbb0fc208da7158c4e01d521d52c0c0197ff646470099aa362d91fbb20586dc

Aliases

arxiv: math/0406579 · arxiv_version: math/0406579v1 · doi: 10.48550/arxiv.math/0406579 · pith_short_12: 3W5Q7QQI3JYV · pith_short_16: 3W5Q7QQI3JYVRRHA · pith_short_8: 3W5Q7QQI

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/3W5Q7QQI3JYVRRHADVJB2UWAYA \
  | 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: ddbb0fc208da7158c4e01d521d52c0c0197ff646470099aa362d91fbb20586dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6051371027430f404110f663b951c5c17dc8104696a79e3c7e3ce6c35ac8031c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-06-28T17:28:42Z",
    "title_canon_sha256": "c76b917bdace7a4b97b4dd406af6b68a020f41dd404cfa1772d77a67eef039d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406579",
    "kind": "arxiv",
    "version": 1
  }
}