Pith Number

pith:5W4RXG3D

pith:2016:5W4RXG3DX6GZFDVEIKPLILJ775

not attested not anchored not stored refs pending

Division by 2 on hyperelliptic curves and jacobians

Yuri G. Zarhin

arxiv:1606.05252 v3 · 2016-06-16 · 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{5W4RXG3DX6GZFDVEIKPLILJ775}

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	2026-05-18T00:56:37.791019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edb91b9b63bf8d928ea4429eb42d3fff79bf100bbfe6f1ed641cc8ec60c7f5f4

Aliases

arxiv: 1606.05252 · arxiv_version: 1606.05252v3 · doi: 10.48550/arxiv.1606.05252 · pith_short_12: 5W4RXG3DX6GZ · pith_short_16: 5W4RXG3DX6GZFDVE · pith_short_8: 5W4RXG3D

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/5W4RXG3DX6GZFDVEIKPLILJ775 \
  | 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: edb91b9b63bf8d928ea4429eb42d3fff79bf100bbfe6f1ed641cc8ec60c7f5f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92a96111ae8844353ba4df95dd84cbd57ad566d292fae89575692e9443cee5e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-16T16:41:39Z",
    "title_canon_sha256": "c52dcc3e424c920be24650d31ad7b345fe1254bc2c6fdee9ff42afc67938bc23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05252",
    "kind": "arxiv",
    "version": 3
  }
}