Pith. sign in
Pith Number

pith:B2O2KODU

pith:2026:B2O2KODUFINE6EVLVWSX7BGNKR
not attested not anchored not stored refs pending

Conformal blocks, parenthesized braid operad, and $c=1/2$ Virasoro vertex operator algebra

Yuto Moriwaki

arxiv:2606.23076 v1 · 2026-06-22 · math.QA · math.CT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{B2O2KODUFINE6EVLVWSX7BGNKR}

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 2026-06-23T03:14:09.182745Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0e9da538742a1a4f12abada57f84cd547a4466ce43d3474b2f8f67fbfdbf2547

Aliases

arxiv: 2606.23076 · arxiv_version: 2606.23076v1 · doi: 10.48550/arxiv.2606.23076 · pith_short_12: B2O2KODUFINE · pith_short_16: B2O2KODUFINE6EVL · pith_short_8: B2O2KODU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/B2O2KODUFINE6EVLVWSX7BGNKR \
  | 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: 0e9da538742a1a4f12abada57f84cd547a4466ce43d3474b2f8f67fbfdbf2547
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5990239715ddaeec04894a4663c49f8c2333a7a3a0843045b3e381a5d26b22e3",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-06-22T09:25:35Z",
    "title_canon_sha256": "3899f8c040683f78d2783b4f337bcca2e4032ad327ae6d08e888984239d3baea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23076",
    "kind": "arxiv",
    "version": 1
  }
}