Pith Number

pith:OEAPACIV

pith:2009:OEAPACIVLBXLF3LRVIQY47USLK

not attested not anchored not stored refs pending

Quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells: the finite-type cases

Jan E. Grabowski, St\'ephane Launois

arxiv:0912.4397 v1 · 2009-12-22 · 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{OEAPACIVLBXLF3LRVIQY47USLK}

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	2026-05-18T04:21:53.128325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7100f00915586eb2ed71aa218e7e925abc4217c4082cdbd21804bab6a3a741de

Aliases

arxiv: 0912.4397 · arxiv_version: 0912.4397v1 · doi: 10.48550/arxiv.0912.4397 · pith_short_12: OEAPACIVLBXL · pith_short_16: OEAPACIVLBXLF3LR · pith_short_8: OEAPACIV

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/OEAPACIVLBXLF3LRVIQY47USLK \
  | 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: 7100f00915586eb2ed71aa218e7e925abc4217c4082cdbd21804bab6a3a741de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb5b1dd9a6aefa296566b79d9bba9aa9fc4fac2324437f0c488e4519c477a6e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-12-22T13:09:20Z",
    "title_canon_sha256": "af95f6a72857519b4fac87128773b457cca1de396c2d29fdf8400851c1ba7dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4397",
    "kind": "arxiv",
    "version": 1
  }
}