Pith Number

pith:GIWSPZQN

pith:2025:GIWSPZQNQO5NADVHOOLKULJUGL

not attested not anchored not stored refs pending

Lower bounds on heights of odd degree points of hyperelliptic curves

Jack A. Thorne, Jef Laga

arxiv:2507.08652 v1 · 2025-07-11 · math.NT · 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{GIWSPZQNQO5NADVHOOLKULJUGL}

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	2026-07-05T11:35:44.417265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

322d27e60d83bad00ea77396aa2d3432e97524501e9f703bdc0d0841c4cbde1f

Aliases

arxiv: 2507.08652 · arxiv_version: 2507.08652v1 · doi: 10.48550/arxiv.2507.08652 · pith_short_12: GIWSPZQNQO5N · pith_short_16: GIWSPZQNQO5NADVH · pith_short_8: GIWSPZQN

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/GIWSPZQNQO5NADVHOOLKULJUGL \
  | 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: 322d27e60d83bad00ea77396aa2d3432e97524501e9f703bdc0d0841c4cbde1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cccd64f67c4139bbc16b134b8800d5bf83c3feccd471cf3cbc1b2fbe1152f451",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-11T14:56:30Z",
    "title_canon_sha256": "6bc0666c377a40b091a392f37cd62fc41838add497e92768270d2298b05737e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08652",
    "kind": "arxiv",
    "version": 1
  }
}