Pith Number

pith:DMH7HNFB

pith:2012:DMH7HNFBKDIVNKNCYQRIJ2FE42

not attested not anchored not stored refs pending

Local finite dimensional Gorenstein k-algebras having Hilbert function (1,5,5,1) are smoothable

Joachim Jelisiejew

arxiv:1212.0522 v1 · 2012-12-03 · 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{DMH7HNFBKDIVNKNCYQRIJ2FE42}

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	2026-05-18T03:39:17.271750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b0ff3b4a150d156a9a2c42284e8a4e6975f5cc07e5fa504dacafc6f37d6c6fc

Aliases

arxiv: 1212.0522 · arxiv_version: 1212.0522v1 · doi: 10.48550/arxiv.1212.0522 · pith_short_12: DMH7HNFBKDIV · pith_short_16: DMH7HNFBKDIVNKNC · pith_short_8: DMH7HNFB

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/DMH7HNFBKDIVNKNCYQRIJ2FE42 \
  | 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: 1b0ff3b4a150d156a9a2c42284e8a4e6975f5cc07e5fa504dacafc6f37d6c6fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a802d083a3d6c333ab224f7f8525772c1642676dd437e27eaea6fa48cb9894",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-03T20:22:27Z",
    "title_canon_sha256": "f92baae495dbd25410b85d2032ddecaad67dd6185b9a8060121d1fc18edad606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0522",
    "kind": "arxiv",
    "version": 1
  }
}