Pith Number

pith:V43OOJO5

pith:2010:V43OOJO544KHNPFOSFILNFXQ2I

not attested not anchored not stored refs pending

Associated varieties of modules over Kac-Moody algebras and $C_2$-cofiniteness of W-algebras

Tomoyuki Arakawa

arxiv:1004.1554 v5 · 2010-04-09 · math.QA · math-ph · math.MP · math.RT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V43OOJO544KHNPFOSFILNFXQ2I}

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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.

Cited by

1 paper in Pith

Reduction and inverse-reduction functors I: standard $\mathsf{V^k}(\mathfrak{sl}_2)$-modules

Receipt and verification

First computed	2026-05-18T01:09:33.324423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af36e725dde71476bcae9150b696f0d23e461f725496e33f1c56f57dff3b9ccd

Aliases

arxiv: 1004.1554 · arxiv_version: 1004.1554v5 · doi: 10.48550/arxiv.1004.1554 · pith_short_12: V43OOJO544KH · pith_short_16: V43OOJO544KHNPFO · pith_short_8: V43OOJO5

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/V43OOJO544KHNPFOSFILNFXQ2I \
  | 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: af36e725dde71476bcae9150b696f0d23e461f725496e33f1c56f57dff3b9ccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f29bd5c9c66120aa4580594c53b83d7d2a05dcd76482b139828512046678c516",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-04-09T13:37:02Z",
    "title_canon_sha256": "f65d1964cdd453eb78557df947f59e134b72d359765fc4a00a229fc29ef85233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1554",
    "kind": "arxiv",
    "version": 5
  }
}