Pith Number

pith:GYRQHUUB

pith:2016:GYRQHUUBOZDXLYUYFYDIU2EN4L

not attested not anchored not stored refs pending

On the torsion of rational elliptic curves over quartic fields

Alvaro Lozano-Robledo, Enrique Gonzalez-Jimenez

arxiv:1606.00645 v3 · 2016-06-02 · 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{GYRQHUUBOZDXLYUYFYDIU2EN4L}

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	2026-05-17T23:51:00.544653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

362303d281764775e2982e068a688de2e5b20fefc6a1f6c6b954790f1448af7f

Aliases

arxiv: 1606.00645 · arxiv_version: 1606.00645v3 · doi: 10.48550/arxiv.1606.00645 · pith_short_12: GYRQHUUBOZDX · pith_short_16: GYRQHUUBOZDXLYUY · pith_short_8: GYRQHUUB

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/GYRQHUUBOZDXLYUYFYDIU2EN4L \
  | 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: 362303d281764775e2982e068a688de2e5b20fefc6a1f6c6b954790f1448af7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07d3e431f687986e538378556aad0e81f4df2a92035cff3855b55ce6b05a089d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-02T12:17:58Z",
    "title_canon_sha256": "44fe35901996c9bb84af5a2b483212913bad4c934ae87cce841e9e3f1d7b4ae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00645",
    "kind": "arxiv",
    "version": 3
  }
}