Pith Number

pith:5O6RRQWK

pith:2018:5O6RRQWKL7TJVSPG6UTPYFZUTO

not attested not anchored not stored refs pending

Explicit Rational Group Law on Hyperelliptic Jacobians of any Genus

David Urbanik

arxiv:1808.01593 v1 · 2018-08-05 · 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{5O6RRQWKL7TJVSPG6UTPYFZUTO}

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	2026-05-18T00:08:52.498876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebbd18c2ca5fe69ac9e6f526fc17349bb57f2ecfd6495376613f05662f0a117c

Aliases

arxiv: 1808.01593 · arxiv_version: 1808.01593v1 · doi: 10.48550/arxiv.1808.01593 · pith_short_12: 5O6RRQWKL7TJ · pith_short_16: 5O6RRQWKL7TJVSPG · pith_short_8: 5O6RRQWK

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/5O6RRQWKL7TJVSPG6UTPYFZUTO \
  | 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: ebbd18c2ca5fe69ac9e6f526fc17349bb57f2ecfd6495376613f05662f0a117c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ebb4dfab863d51cd9140d4dcbb8182f04f5c2de45000bb21c3c6411665aceec",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-08-05T10:10:21Z",
    "title_canon_sha256": "1b321e1450361a287a7dd44be797f3859f4f6714250dde432b5c45f411635daa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01593",
    "kind": "arxiv",
    "version": 1
  }
}