Pith Number

pith:6SSX4IUY

pith:2010:6SSX4IUYKIFKACOEWTXZ2SWADK

not attested not anchored not stored refs pending

Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems

Igor Burban, Yuriy Drozd

arxiv:1002.3042 v3 · 2010-02-16 · 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{6SSX4IUYKIFKACOEWTXZ2SWADK}

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	2026-05-18T03:12:33.604372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4a57e2298520aa009c4b4ef9d4ac01a9d39269b1dc00d5ea8e4502de4a45cf5

Aliases

arxiv: 1002.3042 · arxiv_version: 1002.3042v3 · doi: 10.48550/arxiv.1002.3042 · pith_short_12: 6SSX4IUYKIFK · pith_short_16: 6SSX4IUYKIFKACOE · pith_short_8: 6SSX4IUY

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/6SSX4IUYKIFKACOEWTXZ2SWADK \
  | 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: f4a57e2298520aa009c4b4ef9d4ac01a9d39269b1dc00d5ea8e4502de4a45cf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "220bc5d8a2a43d53d4827c0db19744efe81f77c3256565ba83de86278aa78b43",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-02-16T10:06:31Z",
    "title_canon_sha256": "3b54dbf6ede782064a51eb3e4a2b49f953a00db9131cc39c5cbde0e095980093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3042",
    "kind": "arxiv",
    "version": 3
  }
}