Pith Number

pith:Z57MFWR3

pith:2025:Z57MFWR3X23DHGZX7PJCXC3IGX

not attested not anchored not stored refs pending

A new pointwise bound for $3$-torsion of class groups

Peter Koymans, Stephanie Chan

arxiv:2505.00611 v1 · 2025-05-01 · 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{Z57MFWR3X23DHGZX7PJCXC3IGX}

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	2026-07-05T10:57:22.962036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7ec2da3bbeb6339b37fbd22b8b6835cbc34d9bc91313028d4ffbbdb63a69b4

Aliases

arxiv: 2505.00611 · arxiv_version: 2505.00611v1 · doi: 10.48550/arxiv.2505.00611 · pith_short_12: Z57MFWR3X23D · pith_short_16: Z57MFWR3X23DHGZX · pith_short_8: Z57MFWR3

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/Z57MFWR3X23DHGZX7PJCXC3IGX \
  | 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: cf7ec2da3bbeb6339b37fbd22b8b6835cbc34d9bc91313028d4ffbbdb63a69b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "183f3e2fd6f23a1691a26d19612c32343a4712e0b63adbea797d74926145b5a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-01T15:41:30Z",
    "title_canon_sha256": "e55d6915fcfbcaefd2a9b52ddb123bfee3bc0249b0a364686bf24f14b85c6a75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.00611",
    "kind": "arxiv",
    "version": 1
  }
}