Pith Number

pith:VWO36AIV

pith:2013:VWO36AIVYQJADBYKBMD4IFQUSL

not attested not anchored not stored refs pending

Cohen-Macaulay modules over some non-reduced curve singularities

Igor Burban, Wassilij Gnedin

arxiv:1301.3305 v1 · 2013-01-15 · math.AG · 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{VWO36AIVYQJADBYKBMD4IFQUSL}

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	2026-05-18T03:36:25.865085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad9dbf0115c41201870a0b07c4161492eee6f467038645fad62b89beac6418f8

Aliases

arxiv: 1301.3305 · arxiv_version: 1301.3305v1 · doi: 10.48550/arxiv.1301.3305 · pith_short_12: VWO36AIVYQJA · pith_short_16: VWO36AIVYQJADBYK · pith_short_8: VWO36AIV

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/VWO36AIVYQJADBYKBMD4IFQUSL \
  | 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: ad9dbf0115c41201870a0b07c4161492eee6f467038645fad62b89beac6418f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c2e35eea7fa1e301ccc624d6ff3f7ca686ca54e75e687048706fff2cd0bfd1",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-15T11:02:00Z",
    "title_canon_sha256": "d32bf57e4b1566cffb7f147ba8ed1a3c7840b6a359efad9c0eabcb68c24aca18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3305",
    "kind": "arxiv",
    "version": 1
  }
}