Pith Number

pith:JNHPB7CZ

pith:2025:JNHPB7CZXCE4L2HHOSABNZMZD7

not attested not anchored not stored refs pending

Invariants recovering the reduction type of a hyperelliptic curve

Elisa Lorenzo, Lilybelle Cowland Kellock

arxiv:2502.08487 v3 · 2025-02-12 · 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{JNHPB7CZXCE4L2HHOSABNZMZD7}

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.

Cited by

1 paper in Pith

Invariants recovering the reduction type of a hyperelliptic curve

Receipt and verification

First computed	2026-07-05T10:20:19.221681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b4ef0fc59b889c5e8e7748016e5991fe0ad47a7d423ac2c3e418dbbe5f42e6f

Aliases

arxiv: 2502.08487 · arxiv_version: 2502.08487v3 · doi: 10.48550/arxiv.2502.08487 · pith_short_12: JNHPB7CZXCE4 · pith_short_16: JNHPB7CZXCE4L2HH · pith_short_8: JNHPB7CZ

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/JNHPB7CZXCE4L2HHOSABNZMZD7 \
  | 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: 4b4ef0fc59b889c5e8e7748016e5991fe0ad47a7d423ac2c3e418dbbe5f42e6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0db39b514ff3220bbc0fd8b0c316c6e3fc7019d7e93b629da2824492aa3bd08d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-12T15:22:23Z",
    "title_canon_sha256": "d23021853357177c08f4e92ba86cd26135d4466b787e925894c48de49d32e2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08487",
    "kind": "arxiv",
    "version": 3
  }
}