Pith Number

pith:NOILQNRK

pith:2026:NOILQNRK4CZE3T5TEHMZ4XZGIA

not attested not anchored not stored refs pending

Ideal class monoids of cubic orders

Jungtaek Hong, Sungmun Cho, Yuchan Lee

arxiv:2607.07063 v1 · 2026-07-08 · 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{NOILQNRK4CZE3T5TEHMZ4XZGIA}

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	2026-07-09T01:20:13.528529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b90b8362ae0b24dcfb321d99e5f26402ccb612ddd391a0d5e4b9353656ec051

Aliases

arxiv: 2607.07063 · arxiv_version: 2607.07063v1 · doi: 10.48550/arxiv.2607.07063 · pith_short_12: NOILQNRK4CZE · pith_short_16: NOILQNRK4CZE3T5T · pith_short_8: NOILQNRK

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/NOILQNRK4CZE3T5TEHMZ4XZGIA \
  | 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: 6b90b8362ae0b24dcfb321d99e5f26402ccb612ddd391a0d5e4b9353656ec051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ec575435737683b87aadd682e3d4ccaadcdd84c54c36e78251bebd82b130f0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-08T06:44:41Z",
    "title_canon_sha256": "e146f39f600bb24ba35aa26e5bd09e1c16464510e85a5d1b09a8abe4742c61a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07063",
    "kind": "arxiv",
    "version": 1
  }
}