Pith Number

pith:MKGVWEUZ

pith:2013:MKGVWEUZ42C4O4PKFGSQ56UUVH

not attested not anchored not stored refs pending

Non-Gorenstein isolated singularities of graded countable Cohen-Macaulay type

Branden Stone

arxiv:1307.6206 v1 · 2013-07-23 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKGVWEUZ42C4O4PKFGSQ56UUVH}

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	2026-05-18T03:17:45.049584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

628d5b1299e685c771ea29a50efa94a9de93c7f799f65c8f32d5b48d026c5710

Aliases

arxiv: 1307.6206 · arxiv_version: 1307.6206v1 · doi: 10.48550/arxiv.1307.6206 · pith_short_12: MKGVWEUZ42C4 · pith_short_16: MKGVWEUZ42C4O4PK · pith_short_8: MKGVWEUZ

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/MKGVWEUZ42C4O4PKFGSQ56UUVH \
  | 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: 628d5b1299e685c771ea29a50efa94a9de93c7f799f65c8f32d5b48d026c5710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27ac81f6bcd9ddbd065c3f5085030afff6663d113b563f4a91a7fde966e58ac0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-23T19:49:47Z",
    "title_canon_sha256": "12713a46833718674bdef0151b733f573144f8e746799b2c089369a264de2114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6206",
    "kind": "arxiv",
    "version": 1
  }
}