Pith Number

pith:2OYEO2S5

pith:2013:2OYEO2S5KJCLUCRAZDG73USVKF

not attested not anchored not stored refs pending

When is the intersection of two finitely generated subalgebras of a polynomial ring also finitely generated?

Pinaki Mondal

arxiv:1301.2730 v3 · 2013-01-12 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OYEO2S5KJCLUCRAZDG73USVKF}

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	2026-05-18T00:48:01.605522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3b0476a5d5244ba0a20c8cdfdd2555144d80c49688b1f56620534107159e2cc

Aliases

arxiv: 1301.2730 · arxiv_version: 1301.2730v3 · doi: 10.48550/arxiv.1301.2730 · pith_short_12: 2OYEO2S5KJCL · pith_short_16: 2OYEO2S5KJCLUCRA · pith_short_8: 2OYEO2S5

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/2OYEO2S5KJCLUCRAZDG73USVKF \
  | 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: d3b0476a5d5244ba0a20c8cdfdd2555144d80c49688b1f56620534107159e2cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5646c0c4ce7501577539c9e2d89fd048a1c163b5e747f5618f5c88ab556c402",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-01-12T23:04:00Z",
    "title_canon_sha256": "25575381c660ca34531bcac5cbf07deb649ae003ca75392c5d7dbd7c4dd19a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2730",
    "kind": "arxiv",
    "version": 3
  }
}