Pith Number

pith:FB2KZRCH

pith:2013:FB2KZRCHRYKLIQ7IHN2Q7RT5AN

not attested not anchored not stored refs pending

Exotic cluster structures on $SL_n$: the Cremmer-Gervais case

Alek Vainshtein, Michael Gekhtman, Michael Shapiro

arxiv:1307.1020 v2 · 2013-07-03 · 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{FB2KZRCHRYKLIQ7IHN2Q7RT5AN}

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	2026-05-18T00:32:15.553370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2874acc4478e14b443e83b750fc67d036248af84cb5c9154c02bb86586d3b2a2

Aliases

arxiv: 1307.1020 · arxiv_version: 1307.1020v2 · doi: 10.48550/arxiv.1307.1020 · pith_short_12: FB2KZRCHRYKL · pith_short_16: FB2KZRCHRYKLIQ7I · pith_short_8: FB2KZRCH

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/FB2KZRCHRYKLIQ7IHN2Q7RT5AN \
  | 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: 2874acc4478e14b443e83b750fc67d036248af84cb5c9154c02bb86586d3b2a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a50e8fccf66a9679e1cc055714fc6f41c238398b6310af5e0713ef57c8d3670",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-07-03T14:08:31Z",
    "title_canon_sha256": "b6834722c2488a130508ec3349e8d69a9f7405f0d36bdcbb3e71a426aa41e4b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1020",
    "kind": "arxiv",
    "version": 2
  }
}