Pith Number

pith:FVUQAABW

pith:2010:FVUQAABWB7XYXRITP2OZBE7LSS

not attested not anchored not stored refs pending

Cluster structures on simple complex Lie groups and the Belavin-Drinfeld classification

Alek Vainshtein, Michael Gekhtman, Michael Shapiro

arxiv:1101.0015 v2 · 2010-12-29 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FVUQAABWB7XYXRITP2OZBE7LSS}

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	2026-05-18T01:14:36.486291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d690000360fef8bc5137e9d9093eb948ec929123ce96ba3c690363ad994770b

Aliases

arxiv: 1101.0015 · arxiv_version: 1101.0015v2 · doi: 10.48550/arxiv.1101.0015 · pith_short_12: FVUQAABWB7XY · pith_short_16: FVUQAABWB7XYXRIT · pith_short_8: FVUQAABW

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/FVUQAABWB7XYXRITP2OZBE7LSS \
  | 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: 2d690000360fef8bc5137e9d9093eb948ec929123ce96ba3c690363ad994770b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "959a2679fd5ac42d7e6eb4d88c362c0a44d319e37c6c535eae215edd89649ae7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-12-29T22:25:11Z",
    "title_canon_sha256": "a0f76a007dca6ed8673c1a68652eb7016a5058714ae3ad5a564ce004b424947c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0015",
    "kind": "arxiv",
    "version": 2
  }
}