Pith Number

pith:W2PZSK7N

pith:2019:W2PZSK7NBIDUX3NO2O4OOTJZ6X

not attested not anchored not stored refs pending

A topology on the set of isomorphism classes of maximal Cohen--Macaulay modules

Naoya Hiramatsu, Ryo Takahashi

arxiv:1904.06035 v1 · 2019-04-12 · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2PZSK7NBIDUX3NO2O4OOTJZ6X}

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	2026-05-17T23:48:44.438911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b69f992bed0a074bedaed3b8e74d39f5f9ec4d85a868f9941938d4ba7c5096ef

Aliases

arxiv: 1904.06035 · arxiv_version: 1904.06035v1 · doi: 10.48550/arxiv.1904.06035 · pith_short_12: W2PZSK7NBIDU · pith_short_16: W2PZSK7NBIDUX3NO · pith_short_8: W2PZSK7N

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/W2PZSK7NBIDUX3NO2O4OOTJZ6X \
  | 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: b69f992bed0a074bedaed3b8e74d39f5f9ec4d85a868f9941938d4ba7c5096ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b27aa0d2cb2b8b26dd16216e1ea3e2cc83a6cf0a9780d98978f447192581764e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-04-12T05:04:37Z",
    "title_canon_sha256": "7c69acedbfa8c28acf54bdaa7b2f6d4334ce8774bbc14ea7873cd32061599602"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06035",
    "kind": "arxiv",
    "version": 1
  }
}