Pith Number

pith:NS5RSXQJ

pith:2025:NS5RSXQJB6Q2NQQEYDCERABNRC

not attested not anchored not stored refs pending

Prescribed Chern scalar curvatures on complete Hermitian manifolds

Weike Yu

The existence of metrics with prescribed Chern scalar curvature holds on complete noncompact Hermitian manifolds in all dimensions.

arxiv:2506.14592 v5 · 2025-06-17 · math.DG

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\usepackage{pith}
\pithnumber{NS5RSXQJB6Q2NQQEYDCERABNRC}

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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

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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

We investigate the problem of prescribing Chern scalar curvatures on complete noncompact Hermitian manifolds, and generalize the Aviles-McOwen's existence results from Poincaré disks to higher dimensional Hermitian manifolds.

C2weakest assumption

The prescribed curvature function and the Hermitian manifold satisfy decay or integrability conditions at infinity that permit the 2D existence argument to carry over to higher dimensions (implicit in the generalization statement).

C3one line summary

Generalizes Aviles-McOwen existence results for prescribed Chern scalar curvatures from Poincaré disks to higher-dimensional complete Hermitian manifolds.

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-20T00:02:51.625051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cbb195e090fa1a6c204c0c448802d8883935583f215198c87bf8d3c8a8695a6

Aliases

arxiv: 2506.14592 · arxiv_version: 2506.14592v5 · doi: 10.48550/arxiv.2506.14592 · pith_short_12: NS5RSXQJB6Q2 · pith_short_16: NS5RSXQJB6Q2NQQE · pith_short_8: NS5RSXQJ

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NS5RSXQJB6Q2NQQEYDCERABNRC \
  | 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: 6cbb195e090fa1a6c204c0c448802d8883935583f215198c87bf8d3c8a8695a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1df7854ea38f77fe99927c77feeed19f3a3c9db0c1e32f22d8d7a64a6fdaab1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-17T14:57:36Z",
    "title_canon_sha256": "93b2eb32744d1b2fb9119c52aaa96a6921539d766bc1d898fb2c0e03e9caf911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14592",
    "kind": "arxiv",
    "version": 5
  }
}