Pith Number

pith:LV7YIOB7

pith:2012:LV7YIOB7L2IAL75K26LPM4NZZJ

not attested not anchored not stored refs pending

On the existence of certain modules of finite Gorenstein homological dimensions

Fatemeh Mohammadi Aghjeh Mashhad, Kamran Divaani-Aazar, Massoud Tousi

arxiv:1211.5268 v1 · 2012-11-22 · 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{LV7YIOB7L2IAL75K26LPM4NZZJ}

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	2026-05-18T03:40:04.858563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d7f84383f5e9005ffaad796f671b9ca43513ba7973ebefc9074f20ecec01ee4

Aliases

arxiv: 1211.5268 · arxiv_version: 1211.5268v1 · doi: 10.48550/arxiv.1211.5268 · pith_short_12: LV7YIOB7L2IA · pith_short_16: LV7YIOB7L2IAL75K · pith_short_8: LV7YIOB7

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/LV7YIOB7L2IAL75K26LPM4NZZJ \
  | 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: 5d7f84383f5e9005ffaad796f671b9ca43513ba7973ebefc9074f20ecec01ee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be3842fc3e5d46568e25e4a22b621678d33f4ca9805c1c507088a2087298be81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-22T12:16:37Z",
    "title_canon_sha256": "37e2395173dddcdf2ee7e3f38ed16f595d313ab0f606ef4231552f26856ef59c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5268",
    "kind": "arxiv",
    "version": 1
  }
}