Pith Number

pith:V3CWLSMM

pith:2026:V3CWLSMM5ME4Y7BD3KTQE27DO3

not attested not anchored not stored refs pending

Local statistics and average rank of genus $g$ hyperelliptic curves with a Weierstrass point

Junyeong Park, Keunyoung Jeong

arxiv:2607.12381 v1 · 2026-07-14 · 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{V3CWLSMM5ME4Y7BD3KTQE27DO3}

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	2026-07-15T01:21:31.826721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aec565c98ceb09cc7c23daa7026be376f220dff561fa090cce56defa1d7815c0

Aliases

arxiv: 2607.12381 · arxiv_version: 2607.12381v1 · doi: 10.48550/arxiv.2607.12381 · pith_short_12: V3CWLSMM5ME4 · pith_short_16: V3CWLSMM5ME4Y7BD · pith_short_8: V3CWLSMM

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/V3CWLSMM5ME4Y7BD3KTQE27DO3 \
  | 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: aec565c98ceb09cc7c23daa7026be376f220dff561fa090cce56defa1d7815c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dcf34f3134ddc3ddd347de0e5334dcd128e200fb1fb687e4bbdb6af98d761f5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-14T05:53:08Z",
    "title_canon_sha256": "102318d6b1642cba20036784dd2ac34731bb5b0677b68b170d288d7150ab2a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12381",
    "kind": "arxiv",
    "version": 1
  }
}