Pith Number

pith:CVOJRL3Q

pith:2012:CVOJRL3QMIHBHVPQ2MTKVDGTVN

not attested not anchored not stored refs pending

Algebras of finite global dimension

Dan Zacharia, Dieter Happel

arxiv:1209.2093 v1 · 2012-09-10 · 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{CVOJRL3QMIHBHVPQ2MTKVDGTVN}

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	2026-05-18T03:45:53.790783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

155c98af70620e13d5f0d326aa8cd3ab6745f0e808aae30900943d2ddb45b476

Aliases

arxiv: 1209.2093 · arxiv_version: 1209.2093v1 · doi: 10.48550/arxiv.1209.2093 · pith_short_12: CVOJRL3QMIHB · pith_short_16: CVOJRL3QMIHBHVPQ · pith_short_8: CVOJRL3Q

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/CVOJRL3QMIHBHVPQ2MTKVDGTVN \
  | 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: 155c98af70620e13d5f0d326aa8cd3ab6745f0e808aae30900943d2ddb45b476

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbd155d16e0d54bb59e72e63e3649ab1b52c16c814a3881200b5b979344e54c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-10T18:52:43Z",
    "title_canon_sha256": "497e1ddffeac714e1ffc51ba88ab39ee523d162b0da5c24cf12ba87b6ca40eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2093",
    "kind": "arxiv",
    "version": 1
  }
}