Pith Number

pith:MCKQWSMV

pith:2011:MCKQWSMVGMOSAL2NVVTL7LLBTE

not attested not anchored not stored refs pending

G--Gorenstein modules

Hossein Zakeri, Mohsen Aghajani

arxiv:1106.4972 v1 · 2011-06-24 · 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{MCKQWSMVGMOSAL2NVVTL7LLBTE}

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	2026-05-18T04:19:22.643757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60950b4995331d202f4dad66bfad619929d356a71fa3a6b76ee78082685edaeb

Aliases

arxiv: 1106.4972 · arxiv_version: 1106.4972v1 · doi: 10.48550/arxiv.1106.4972 · pith_short_12: MCKQWSMVGMOS · pith_short_16: MCKQWSMVGMOSAL2N · pith_short_8: MCKQWSMV

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/MCKQWSMVGMOSAL2NVVTL7LLBTE \
  | 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: 60950b4995331d202f4dad66bfad619929d356a71fa3a6b76ee78082685edaeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56d944bbd021e9a3ae299a9c3f9d0f8a02cbb70e4531e9490b530418ec00b6a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-06-24T13:44:27Z",
    "title_canon_sha256": "c30c50cb89bea810e3037fa647a0680ad2d9c381676b965ddaa1df6ea60e0743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4972",
    "kind": "arxiv",
    "version": 1
  }
}