Pith Number

pith:KX4FD734

pith:2022:KX4FD734PLL2JJHK2B2HLRDKYM

not attested not anchored not stored refs pending

Cohen-Macaulay type of orders, generators and ideal classes

Stefano Marseglia

arxiv:2206.03758 v2 · 2022-06-08 · math.AC · 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{KX4FD734PLL2JJHK2B2HLRDKYM}

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	2026-07-05T10:20:33.852771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55f851ff7c7ad7a4a4ead07475c46ac30ad98a0deb8f3228b74e4a9ebd1849a8

Aliases

arxiv: 2206.03758 · arxiv_version: 2206.03758v2 · doi: 10.48550/arxiv.2206.03758 · pith_short_12: KX4FD734PLL2 · pith_short_16: KX4FD734PLL2JJHK · pith_short_8: KX4FD734

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/KX4FD734PLL2JJHK2B2HLRDKYM \
  | 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: 55f851ff7c7ad7a4a4ead07475c46ac30ad98a0deb8f3228b74e4a9ebd1849a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0c2ed30823eefa2845ee87e6e22e13f3f8181e7f946334ffcbd5476b0ba22a0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-06-08T09:07:28Z",
    "title_canon_sha256": "6f66891494d64bc4b7310089f52f4f198d8ed785b8e63090ece1dfed51ece23e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.03758",
    "kind": "arxiv",
    "version": 2
  }
}