Pith Number

pith:YX5JJFAS

pith:2026:YX5JJFASOLHFTT4BB26NL56JSF

not attested not anchored not stored refs pending

Minimal Weierstrass models and regular models of hyperelliptic curves

Qing Liu

arxiv:2603.19065 v2 · 2026-03-19 · 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{YX5JJFASOLHFTT4BB26NL56JSF}

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	2026-05-20T00:02:10.678675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5fa94941272ce59cf810ebcd5f7c99162ceb007285d04929208b5e1400dc442

Aliases

arxiv: 2603.19065 · arxiv_version: 2603.19065v2 · doi: 10.48550/arxiv.2603.19065 · pith_short_12: YX5JJFASOLHF · pith_short_16: YX5JJFASOLHFTT4B · pith_short_8: YX5JJFAS

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/YX5JJFASOLHFTT4BB26NL56JSF \
  | 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: c5fa94941272ce59cf810ebcd5f7c99162ceb007285d04929208b5e1400dc442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "173951d2a3bf73893e4e20d3eae54c52e5dc646daaf0ea951086869c4aea1c2f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-03-19T15:55:49Z",
    "title_canon_sha256": "180d67c61b6038c5532143fc4ff0b60cc0fae5fa372cc428f5af610ee9c5627f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.19065",
    "kind": "arxiv",
    "version": 2
  }
}