Pith Number

pith:X5PTONLU

pith:2015:X5PTONLUOM37TWG5IXLVS3V23H

not attested not anchored not stored refs pending

$\mathcal{W}$-algebras with non-admissible levels and the Deligne exceptional series

Kazuya Kawasetsu

arxiv:1505.06985 v1 · 2015-05-26 · math.QA · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5PTONLUOM37TWG5IXLVS3V23H}

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	2026-05-18T02:03:27.387451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5f3735747337f9d8dd45d7596ebad9fbab474bd4218071259e3ad1ebe2e871

Aliases

arxiv: 1505.06985 · arxiv_version: 1505.06985v1 · doi: 10.48550/arxiv.1505.06985 · pith_short_12: X5PTONLUOM37 · pith_short_16: X5PTONLUOM37TWG5 · pith_short_8: X5PTONLU

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/X5PTONLUOM37TWG5IXLVS3V23H \
  | 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: bf5f3735747337f9d8dd45d7596ebad9fbab474bd4218071259e3ad1ebe2e871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d47f811da895d18657f829830a82b97ec71ff2d85a668c0e196133de50bac76",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-05-26T14:58:50Z",
    "title_canon_sha256": "9682e69564fc7d29ce011b68addf92b3cd3b019e8d3271271f5121709bd67a10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06985",
    "kind": "arxiv",
    "version": 1
  }
}