Pith Number

pith:YUPB3WNS

pith:2013:YUPB3WNSCHGT4IG5UM7ISNQ2O2

not attested not anchored not stored refs pending

A structure theorem for 2-stretched Gorenstein algebras

Gianfranco Casnati, Roberto Notari

arxiv:1312.2191 v2 · 2013-12-08 · 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{YUPB3WNSCHGT4IG5UM7ISNQ2O2}

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	2026-05-18T02:50:00.663624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c51e1dd9b211cd3e20dda33e89361a76acdd8dc490214b77ebb0cedc33ffd1b1

Aliases

arxiv: 1312.2191 · arxiv_version: 1312.2191v2 · doi: 10.48550/arxiv.1312.2191 · pith_short_12: YUPB3WNSCHGT · pith_short_16: YUPB3WNSCHGT4IG5 · pith_short_8: YUPB3WNS

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/YUPB3WNSCHGT4IG5UM7ISNQ2O2 \
  | 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: c51e1dd9b211cd3e20dda33e89361a76acdd8dc490214b77ebb0cedc33ffd1b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d73a4d7444a2ddcd583d6b2e2984c12a318580c01b573e9d2d1deb9d86e0976",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-12-08T10:58:25Z",
    "title_canon_sha256": "1bd284ecbf6ce13914f9a212787db1eb043bc82849b77d9e43ab8391b8c8a5f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2191",
    "kind": "arxiv",
    "version": 2
  }
}