Pith Number

pith:3ZK3XVCJ

pith:2014:3ZK3XVCJT7727JO6OKUD3UVIK6

not attested not anchored not stored refs pending

Elliptic K3 surfaces associated with the product of two elliptic curves: Mordell-Weil lattices and their fields of definition

Abhinav Kumar, Masato Kuwata

arxiv:1409.2931 v3 · 2014-09-10 · math.AG · 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{3ZK3XVCJT7727JO6OKUD3UVIK6}

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	2026-05-18T00:27:47.450228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de55bbd4499fffafa5de72a83dd2a85792050a98a04a06adbc8cc37f9e92936b

Aliases

arxiv: 1409.2931 · arxiv_version: 1409.2931v3 · doi: 10.48550/arxiv.1409.2931 · pith_short_12: 3ZK3XVCJT772 · pith_short_16: 3ZK3XVCJT7727JO6 · pith_short_8: 3ZK3XVCJ

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/3ZK3XVCJT7727JO6OKUD3UVIK6 \
  | 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: de55bbd4499fffafa5de72a83dd2a85792050a98a04a06adbc8cc37f9e92936b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5806e26548d229c7c6d5ba1225d1b8bfa12c3311afa96491f66d961cfd6a1698",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-10T01:46:55Z",
    "title_canon_sha256": "bacad1c46c71b1d36112a96e32bc87c31fa5a2eb40239d739f6eb175a1b0964e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2931",
    "kind": "arxiv",
    "version": 3
  }
}