Pith Number

pith:4LP7SALJ

pith:2019:4LP7SALJBTTVVIDP5KCK2DMZZN

not attested not anchored not stored refs pending

Torsion Points of order 2g+1 on odd degree hyperelliptic curves of genus g

Boris M. Bekker, Yuri G. Zarhin

arxiv:1902.02743 v4 · 2019-02-07 · 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{4LP7SALJBTTVVIDP5KCK2DMZZN}

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	2026-05-17T23:40:39.047079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2dff901690ce75aa06fea84ad0d99cb5fa21c9188cccb6e56a2e5cb190a909c

Aliases

arxiv: 1902.02743 · arxiv_version: 1902.02743v4 · doi: 10.48550/arxiv.1902.02743 · pith_short_12: 4LP7SALJBTTV · pith_short_16: 4LP7SALJBTTVVIDP · pith_short_8: 4LP7SALJ

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/4LP7SALJBTTVVIDP5KCK2DMZZN \
  | 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: e2dff901690ce75aa06fea84ad0d99cb5fa21c9188cccb6e56a2e5cb190a909c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31dda98bd8ece4e3e009fa268b2f9ecb179dd066c8444c3b2187ff229815955b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-02-07T17:39:39Z",
    "title_canon_sha256": "5d4356583c7a0402b15cc6bf48aae41dd034c9d1b10307b7bd74321b23c48ff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02743",
    "kind": "arxiv",
    "version": 4
  }
}