Pith Number

pith:TDT6GVXS

pith:2013:TDT6GVXSC2QDAMA3YB5X5GOQJ4

not attested not anchored not stored refs pending

Local cohomology modules of a smooth Z-algebra have finitely many associated primes

Anurag K. Singh, Bhargav Bhatt, Gennady Lyubeznik, Manuel Blickle, Wenliang Zhang

arxiv:1304.4692 v2 · 2013-04-17 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDT6GVXSC2QDAMA3YB5X5GOQJ4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:50:31.902748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98e7e356f216a030301bc07b7e99d04f3873fdd4a587b16b93080990597ad6f5

Aliases

arxiv: 1304.4692 · arxiv_version: 1304.4692v2 · doi: 10.48550/arxiv.1304.4692 · pith_short_12: TDT6GVXSC2QD · pith_short_16: TDT6GVXSC2QDAMA3 · pith_short_8: TDT6GVXS

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/TDT6GVXSC2QDAMA3YB5X5GOQJ4 \
  | 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: 98e7e356f216a030301bc07b7e99d04f3873fdd4a587b16b93080990597ad6f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb6c24c7d623f6ed033747ae00eec411404d055e8cebd6c136bffb7e639616a5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-04-17T05:11:18Z",
    "title_canon_sha256": "a7996ad933ca0f893b2f285102c9a8e6cc72babd1506bf8100646558ffcad3c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4692",
    "kind": "arxiv",
    "version": 2
  }
}