Pith Number

pith:7CNRIMPZ

pith:2025:7CNRIMPZOTHH24GCDK6NWK5IOS

not attested not anchored not stored refs pending

Cohen-Macaulay modules of covariants for cyclic $p$-groups

Jonathan Elmer

arxiv:2506.03677 v1 · 2025-06-04 · math.AC · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CNRIMPZOTHH24GCDK6NWK5IOS}

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	2026-07-05T11:15:49.811598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f89b1431f974ce7d70c21abcdb2ba874bbb3eccb361ee5b70c45fef751eacb01

Aliases

arxiv: 2506.03677 · arxiv_version: 2506.03677v1 · doi: 10.48550/arxiv.2506.03677 · pith_short_12: 7CNRIMPZOTHH · pith_short_16: 7CNRIMPZOTHH24GC · pith_short_8: 7CNRIMPZ

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/7CNRIMPZOTHH24GCDK6NWK5IOS \
  | 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: f89b1431f974ce7d70c21abcdb2ba874bbb3eccb361ee5b70c45fef751eacb01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5302093f15f92765e05c6d63cba62f42e1d4476f453cb4370340be105fa872f3",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-06-04T08:10:28Z",
    "title_canon_sha256": "e12fddd4b94d250676ae7176954f1a949dc6f0844fe68e9d0a5675616cf29717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03677",
    "kind": "arxiv",
    "version": 1
  }
}