Pith Number

pith:D6DXQ72I

pith:2026:D6DXQ72IEY7RC7DZ5NMDNRU5LO

not attested not anchored not stored refs resolved

Conformal Blocks: Vector bundle structures, Sewing, and Factorization

Bin Gui

Rational vertex operator algebras produce conformal blocks that form vector bundles on moduli spaces through complex-analytic sewing and factorization.

arxiv:2605.17020 v1 · 2026-05-16 · math.QA

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\pithnumber{D6DXQ72IEY7RC7DZ5NMDNRU5LO}

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Record completeness

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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.

Claims

C1strongest claim

The paper provides an informal note on the complex-analytic approach to the theory of conformal blocks for rational VOAs, focusing on vector bundle structures, sewing, and factorization.

C2weakest assumption

The note assumes that the complex-analytic framework can be consistently applied to rational VOAs to produce the described vector bundle structures, sewing operations, and factorization without additional technical obstructions.

C3one line summary

An informal note on the complex-analytic theory of conformal blocks for rational VOAs, addressing their vector bundle structures, sewing, and factorization.

References

32 extracted · 32 resolved · 1 Pith anchors

[1] and Griffiths, P., 2011 2011

[2] and Ueno, K., 2007 2007

[3] and Ueno, K., 2007 2007

[4] and Mazur, B., 1991 1991

[5] and Stănăşilă, O., 1976 1976

Receipt and verification

First computed	2026-05-20T00:03:36.316856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f87787f48263f117c79eb5836c69d5b85395347d40166f9a357c9b44650e5e9

Aliases

arxiv: 2605.17020 · arxiv_version: 2605.17020v1 · doi: 10.48550/arxiv.2605.17020 · pith_short_12: D6DXQ72IEY7R · pith_short_16: D6DXQ72IEY7RC7DZ · pith_short_8: D6DXQ72I

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/D6DXQ72IEY7RC7DZ5NMDNRU5LO \
  | 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: 1f87787f48263f117c79eb5836c69d5b85395347d40166f9a357c9b44650e5e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca1c6fc4dddf786917a6aa475bf3521600a3d699888fb10c9e96fc9ac0372e2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-05-16T14:46:41Z",
    "title_canon_sha256": "92269df23ce72a376792a74962d443b9aaf178abea4d09ff7a717aed54afc03b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17020",
    "kind": "arxiv",
    "version": 1
  }
}