Pith Number

pith:7JRFBGIV

pith:2008:7JRFBGIVSGJN2VBXJWWHWLNURB

not attested not anchored not stored refs pending

Global dimensions of endomorphism algebras for generator-cogenerators over $m$-replicated algebras

Hongbo Lv, Shunhua Zhang

arxiv:0812.0655 v3 · 2008-12-03 · 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{7JRFBGIVSGJN2VBXJWWHWLNURB}

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	2026-05-18T03:35:26.795251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa625099159192dd54374dac7b2db488612d89f5f6a783943bb052a50438b968

Aliases

arxiv: 0812.0655 · arxiv_version: 0812.0655v3 · doi: 10.48550/arxiv.0812.0655 · pith_short_12: 7JRFBGIVSGJN · pith_short_16: 7JRFBGIVSGJN2VBX · pith_short_8: 7JRFBGIV

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/7JRFBGIVSGJN2VBXJWWHWLNURB \
  | 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: fa625099159192dd54374dac7b2db488612d89f5f6a783943bb052a50438b968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a8e693d03820c1841203af07c2f56f381e491e025ad01b1c4117556579a061",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-12-03T05:39:25Z",
    "title_canon_sha256": "957d9a261fde473c3406f76cc6071cacccab595c5b9e96612081fa9e91499d19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0655",
    "kind": "arxiv",
    "version": 3
  }
}