Pith Number

pith:YES3PNQ6

pith:2017:YES3PNQ6VWAJWDKF3LQIXHKP53

not attested not anchored not stored refs pending

Universal deformation rings and self-injective Nakayama algebras

Daniel J. Wackwitz, Frauke M. Bleher

arxiv:1702.02841 v2 · 2017-02-09 · math.GR · 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{YES3PNQ6VWAJWDKF3LQIXHKP53}

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	2026-05-17T23:51:00.398644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c125b7b61ead809b0d45dae08b9d4feee2d093d1bff28369be66c0d72799f9a8

Aliases

arxiv: 1702.02841 · arxiv_version: 1702.02841v2 · doi: 10.48550/arxiv.1702.02841 · pith_short_12: YES3PNQ6VWAJ · pith_short_16: YES3PNQ6VWAJWDKF · pith_short_8: YES3PNQ6

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/YES3PNQ6VWAJWDKF3LQIXHKP53 \
  | 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: c125b7b61ead809b0d45dae08b9d4feee2d093d1bff28369be66c0d72799f9a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068dfd857ff05137280b2e3ba118f0ddd60f29905138457d00bcfeef08ebc3b1",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-09T14:17:51Z",
    "title_canon_sha256": "9e4aaa39b04d2706607df5b63f8cc658639d4943f254c29bbf127ed34a26b8e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02841",
    "kind": "arxiv",
    "version": 2
  }
}