Pith Number

pith:QD3D2BEL

pith:2012:QD3D2BELAJ4NTKVNY43UCZOEDM

not attested not anchored not stored refs pending

Extremal properties of concealed-canonical algebras

Dirk Kussin, Helmut Lenzing, Michael Barot

arxiv:1208.3761 v2 · 2012-08-18 · 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{QD3D2BELAJ4NTKVNY43UCZOEDM}

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	2026-05-18T03:36:15.891854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80f63d048b0278d9aaadc7374165c41b2125482b2a1c73dfd0f06305dac7dbc4

Aliases

arxiv: 1208.3761 · arxiv_version: 1208.3761v2 · doi: 10.48550/arxiv.1208.3761 · pith_short_12: QD3D2BELAJ4N · pith_short_16: QD3D2BELAJ4NTKVN · pith_short_8: QD3D2BEL

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/QD3D2BELAJ4NTKVNY43UCZOEDM \
  | 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: 80f63d048b0278d9aaadc7374165c41b2125482b2a1c73dfd0f06305dac7dbc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "099e5b0ff61bb7f371772410ec26c4cf2c1c3d149b6e47014a8eca98bb038b0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-18T16:17:29Z",
    "title_canon_sha256": "48572ee43baebe818a215d8e215f9a7f94c6a384ef02f4c3ee9e23420214d124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3761",
    "kind": "arxiv",
    "version": 2
  }
}