Pith Number

pith:LMP3434U

pith:2010:LMP3434U4ULGHD2UWILHXXBS53

not attested not anchored not stored refs pending

Universal deformation rings and dihedral blocks with two simple modules

Frauke M. Bleher, Giovanna Llosent, Jennifer B. Schaefer

arxiv:1012.1668 v1 · 2010-12-08 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMP3434U4ULGHD2UWILHXXBS53}

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	2026-05-18T04:13:39.388545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b1fbe6f94e516638f54b2167bdc32eec7af7739adb2b34ce6df6b800c3b298b

Aliases

arxiv: 1012.1668 · arxiv_version: 1012.1668v1 · doi: 10.48550/arxiv.1012.1668 · pith_short_12: LMP3434U4ULG · pith_short_16: LMP3434U4ULGHD2U · pith_short_8: LMP3434U

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/LMP3434U4ULGHD2UWILHXXBS53 \
  | 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: 5b1fbe6f94e516638f54b2167bdc32eec7af7739adb2b34ce6df6b800c3b298b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58cdc63055085ddab9c7d0bae05afaba7b58fba4dcd47899d3e36039c1136e10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-12-08T01:20:36Z",
    "title_canon_sha256": "c98740cd704e1d7ef40f51808948d9a9cdf4a3aab53c097569c816b37f5707af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1668",
    "kind": "arxiv",
    "version": 1
  }
}