Pith Number

pith:MKP3LLXJ

pith:2025:MKP3LLXJK5U7W2KETXV7JZTQIE

not attested not anchored not stored refs pending

Reduction by stages for affine W-algebras

Naoki Genra, Thibault Juillard

arxiv:2501.04501 v1 · 2025-01-08 · math.RT · math-ph · math.AG · math.MP · math.QA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKP3LLXJK5U7W2KETXV7JZTQIE}

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.

Cited by

2 papers in Pith

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

Universal $2$-parameter $\mathcal{N}=2$ supersymmetric $\mathcal{W}_{\infty}$-algebra

Receipt and verification

First computed	2026-07-05T09:58:36.170747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629fb5aee95769fb69449debf4e670412a0857ba1a937f51df58e867b19d7d30

Aliases

arxiv: 2501.04501 · arxiv_version: 2501.04501v1 · doi: 10.48550/arxiv.2501.04501 · pith_short_12: MKP3LLXJK5U7 · pith_short_16: MKP3LLXJK5U7W2KE · pith_short_8: MKP3LLXJ

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/MKP3LLXJK5U7W2KETXV7JZTQIE \
  | 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: 629fb5aee95769fb69449debf4e670412a0857ba1a937f51df58e867b19d7d30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8fc39c0c3ab88e65c95961fb92412ea571fe1e4b8a8c2bfa7a6bd88162b0273",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP",
      "math.QA",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-01-08T13:41:12Z",
    "title_canon_sha256": "d09b634c2680b7da1620afe143b4482504b0126f05cb1c4c6d642a620d4f135e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04501",
    "kind": "arxiv",
    "version": 1
  }
}