Pith Number

pith:MWPVPZ2L

pith:2010:MWPVPZ2LQBZQP5RJRYUK4SMHZF

not attested not anchored not stored refs pending

On the structure of Cohen-Macaulay modules over hypersurfaces of countable Cohen-Macaulay representation type

Kei-ichiro Iima, Ryo Takahashi, Tokuji Araya

arxiv:1002.0137 v3 · 2010-01-31 · 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{MWPVPZ2LQBZQP5RJRYUK4SMHZF}

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	2026-05-18T03:58:14.279066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

659f57e74b807307f6298e28ae4987c95031d53d15b22d0fd5b28b57cff6104f

Aliases

arxiv: 1002.0137 · arxiv_version: 1002.0137v3 · doi: 10.48550/arxiv.1002.0137 · pith_short_12: MWPVPZ2LQBZQ · pith_short_16: MWPVPZ2LQBZQP5RJ · pith_short_8: MWPVPZ2L

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/MWPVPZ2LQBZQP5RJRYUK4SMHZF \
  | 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: 659f57e74b807307f6298e28ae4987c95031d53d15b22d0fd5b28b57cff6104f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29e0b39db6579a805a9641da45ae9615e3e59392308c20a2102a1a97c3f73050",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-01-31T15:52:12Z",
    "title_canon_sha256": "6de16b8807396533a54481ac1c4aed52fac3eaadafbb39299569016899716a1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0137",
    "kind": "arxiv",
    "version": 3
  }
}