Pith Number

pith:K3VPGMIY

pith:2016:K3VPGMIYRR2YU7TG4JJ647L57K

not attested not anchored not stored refs pending

On Singular Equivalences of Morita Type and Universal Deformation Rings for Gorenstein Algebras

Hernan Giraldo, Jose A. Velez-Marulanda, Viktor Bekkert

arxiv:1608.05690 v5 · 2016-08-19 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3VPGMIYRR2YU7TG4JJ647L57K}

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	2026-05-18T00:41:53.530279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56eaf331188c758a7e66e253ee7d7dfab23e5f4a05b3a2f6167017f7e3f9be97

Aliases

arxiv: 1608.05690 · arxiv_version: 1608.05690v5 · doi: 10.48550/arxiv.1608.05690 · pith_short_12: K3VPGMIYRR2Y · pith_short_16: K3VPGMIYRR2YU7TG · pith_short_8: K3VPGMIY

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/K3VPGMIYRR2YU7TG4JJ647L57K \
  | 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: 56eaf331188c758a7e66e253ee7d7dfab23e5f4a05b3a2f6167017f7e3f9be97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa142a27cabb002a21159ab7e7362b6740ac682d4146caca94eecf0f00c42c5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-08-19T18:36:20Z",
    "title_canon_sha256": "ff9216a2920ec7ddce770ffa67a9bbc5ccb6aa932a3b214e26363ac48370c581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05690",
    "kind": "arxiv",
    "version": 5
  }
}