Pith Number

pith:VBCVM4CZ

pith:2013:VBCVM4CZNVSCBHQ4SWFPPZNRLY

not attested not anchored not stored refs pending

On Cohen-Macaulay modules over non-commutative surface singularities

Volodymyr S. Gavran, Yuriy A. Drozd

arxiv:1301.2999 v3 · 2013-01-14 · math.AG · 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{VBCVM4CZNVSCBHQ4SWFPPZNRLY}

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	2026-05-18T02:28:48.367827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8455670596d64209e1c958af7e5b15e26e4c1f69c30693c1e76417eb6f9752a

Aliases

arxiv: 1301.2999 · arxiv_version: 1301.2999v3 · doi: 10.48550/arxiv.1301.2999 · pith_short_12: VBCVM4CZNVSC · pith_short_16: VBCVM4CZNVSCBHQ4 · pith_short_8: VBCVM4CZ

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/VBCVM4CZNVSCBHQ4SWFPPZNRLY \
  | 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: a8455670596d64209e1c958af7e5b15e26e4c1f69c30693c1e76417eb6f9752a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "224b3b7ee22b5b3bf446ed1b8b77bd8f3b72dfa56cf1812b1b74d520d798ff08",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-14T14:59:28Z",
    "title_canon_sha256": "035226b2f61b2af5be1f67986c96537ad88eb69b9b0d9a029e6cb0a645445819"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2999",
    "kind": "arxiv",
    "version": 3
  }
}