Pith Number

pith:2FYE7D52

pith:2012:2FYE7D52JPNHOCDISRTUAKHV5N

not attested not anchored not stored refs pending

Universal deformation rings of modules for algebras of dihedral type of polynomial growth

Frauke M. Bleher, Shannon N. Talbott

arxiv:1209.0181 v1 · 2012-09-02 · 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{2FYE7D52JPNHOCDISRTUAKHV5N}

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	2026-05-18T02:57:06.923305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1704f8fba4bda77086894674028f5eb6fbc8ddfc8cc5a2a7254f5cc2ee16863

Aliases

arxiv: 1209.0181 · arxiv_version: 1209.0181v1 · doi: 10.48550/arxiv.1209.0181 · pith_short_12: 2FYE7D52JPNH · pith_short_16: 2FYE7D52JPNHOCDI · pith_short_8: 2FYE7D52

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/2FYE7D52JPNHOCDISRTUAKHV5N \
  | 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: d1704f8fba4bda77086894674028f5eb6fbc8ddfc8cc5a2a7254f5cc2ee16863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9caae07ca34d3369a7011ed634cb8fac1c2a22b12b96713916b672d7f6cb2c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-02T15:17:16Z",
    "title_canon_sha256": "0f9f6a08967ccb214b877b9b2b8e15a16bccc4cd705b99c999e98b139147eb8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0181",
    "kind": "arxiv",
    "version": 1
  }
}