Pith Number

pith:VZGVWLXP

pith:2013:VZGVWLXPDLUCHHYFXMB3NKO66K

not attested not anchored not stored refs pending

Hyperelliptic curves covering an elliptic curve twice

Xavier Xarles

arxiv:1303.4220 v1 · 2013-03-18 · 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{VZGVWLXPDLUCHHYFXMB3NKO66K}

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	2026-05-18T03:30:39.269833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae4d5b2eef1ae8239f05bb03b6a9def2a5f94da0b45028ac3854c04060cb05e6

Aliases

arxiv: 1303.4220 · arxiv_version: 1303.4220v1 · doi: 10.48550/arxiv.1303.4220 · pith_short_12: VZGVWLXPDLUC · pith_short_16: VZGVWLXPDLUCHHYF · pith_short_8: VZGVWLXP

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/VZGVWLXPDLUCHHYFXMB3NKO66K \
  | 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: ae4d5b2eef1ae8239f05bb03b6a9def2a5f94da0b45028ac3854c04060cb05e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cffb9949f8d26527d1120d9ad312cd70e66191ff377821e23247130b80e7325",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-18T12:01:04Z",
    "title_canon_sha256": "c1b20736bb7df72538e824c5287f0353326ea9d32228b59620b66871688ba285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4220",
    "kind": "arxiv",
    "version": 1
  }
}