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Paper Citation Record · LEDGER

Quantitative hyperbolicity for complex manifolds via numerical invariants

As of 15 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2607.07054.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.07054 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-09T21:13:32.043296Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 82720a05-8b3a-4059-872c-54dcf1e9cff8 · outbound

This paper cites Weakly K ¨ahler hyperbolic manifolds and the Green–Griffiths–Lang conjecture.J.

Quantitative hyperbolicity for complex manifolds via numerical invariants Weakly K ¨ahler hyperbolic manifolds and the Green–Griffiths–Lang conjecture.J

Reference 1

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raw_fallback, observed 2026-07-09T21:16:34.487788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:b649ab60a54834cd0c8c6302853b8b45f9f19a1524d730cbdb96be15825d0214

Observation ee05a856-2e45-442e-b0b5-c185a96a71b1 · outbound

This paper cites Hyperbolicity of generic hypersurfaces of polynomial degree via Green-Griffiths jet differentials.

Quantitative hyperbolicity for complex manifolds via numerical invariants Hyperbolicity of generic hypersurfaces of polynomial degree via Green-Griffiths jet differentials

Reference 2

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local_arxiv, observed 2026-07-09T21:16:34.147848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:e5c0e0d2e50eedde6e1c54879f5ba14da17a7e2d0c84a230141227ae8f15298c

Observation 1844c8d7-bf82-4d24-a15e-5de3af0f9851 · outbound

This paper cites Generating all Ahlfors currents by a single entire curve.arXiv: 2511.12473, 2025.↑13.

Quantitative hyperbolicity for complex manifolds via numerical invariants Generating all Ahlfors currents by a single entire curve.arXiv: 2511.12473, 2025.↑13

Reference 3

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arxiv_id, observed 2026-07-09T21:16:34.158831Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:aa3b850f45af05717290b9bb4e77003606879fca18376546139bed50c61d48f4

Observation 75abdf5c-b97a-409f-9436-6083b57efa15 · outbound

This paper cites A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity.

Quantitative hyperbolicity for complex manifolds via numerical invariants A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity

Reference 4

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verified exact
local_arxiv, observed 2026-07-09T21:16:34.155191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:1546f3664477588a8c1615ab65947434d1ebb7bd290111558c528c7cea25abd5

Observation b9317fa9-95ba-44ae-b31a-9467352201f3 · outbound

This paper cites Regularity of the volume function.arXiv:2505.14495,.

Quantitative hyperbolicity for complex manifolds via numerical invariants Regularity of the volume function.arXiv:2505.14495,

Reference 5

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arxiv_id, observed 2026-07-09T21:16:34.142034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:bedd2d103be84be0188a69a419ddca14884e6b4bf259dad6a70a48db1ff6a7cb

Observation 5d21b475-1e12-4785-980c-df14b7900da2 · outbound

This paper cites Degeneracy of entire curves into higher dimensional complex manifolds.

Quantitative hyperbolicity for complex manifolds via numerical invariants Degeneracy of entire curves into higher dimensional complex manifolds

Reference 6

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verified exact
local_arxiv, observed 2026-07-09T21:16:34.142484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:bcff2949e4c8e3f4d28864467a0522f4492dcbb49519e117869dcfa57d235a95

Observation 6a8eb5af-dca9-49bd-b505-5170c7825aac · outbound

This paper cites Effectivity in the Hyperbolicity-related problems.

Quantitative hyperbolicity for complex manifolds via numerical invariants Effectivity in the Hyperbolicity-related problems

Reference 7

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local_arxiv, observed 2026-07-09T21:16:34.130652Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:b512d87536a2c8d2bd658edc6bb8e5a690236a6bc9e316aab40369c29c7065fc

Observation ab684e94-7821-495b-a7df-8883990e2449 · outbound

This paper cites Siu's analyticity theorem for positive pluriharmonic currents.

Quantitative hyperbolicity for complex manifolds via numerical invariants Siu's analyticity theorem for positive pluriharmonic currents

Reference 8

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local_arxiv, observed 2026-07-09T21:16:34.152420Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:70efe8dc355f98f3aa6526f0c436fd355fdbfaec524cb7c3a855946ee8ae08fc

Observation 5d056692-aa6d-44a8-bba8-f8f50573a7b3 · outbound

This paper cites Two applications of algebraic geometry to entire holomorphic mappings.

Quantitative hyperbolicity for complex manifolds via numerical invariants Two applications of algebraic geometry to entire holomorphic mappings

Reference 9

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raw_fallback, observed 2026-07-09T21:16:34.489563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:5669873d2678232eed72d3c03bc81e742509c98b946f370210a5364622206ef2

Observation f5172f6c-6866-45f5-8e7c-8869d52fa84a · outbound

This paper cites Vanishing of Invariant 2-Jet Differentials and Improved Hyperbolicity Degree Bounds in Dimension Two.

Quantitative hyperbolicity for complex manifolds via numerical invariants Vanishing of Invariant 2-Jet Differentials and Improved Hyperbolicity Degree Bounds in Dimension Two

Reference 10

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local_arxiv, observed 2026-07-09T21:16:34.140154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:248a5ab73c73913e689bae8b4facaa73d06b55d22ecda02b0be4202157a883ae

Observation d65e9095-8f1b-494f-9c35-ecc00f192b5c · outbound

This paper cites Intersection of (1,1)-currents and the domain of definition of the Monge-Ampere operator.

Quantitative hyperbolicity for complex manifolds via numerical invariants Intersection of (1,1)-currents and the domain of definition of the Monge-Ampere operator

Reference 11

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local_arxiv, observed 2026-07-09T21:16:34.139345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:c78c9eb42b17560edb55f49915967a79158ad2a4acb586f16caab0e2c2096e5d

Observation 21652043-b718-4d3c-abb9-9edd554e9989 · outbound

This paper cites Examples of hyperbolic hypersurfaces of low degree in projective spaces.

Quantitative hyperbolicity for complex manifolds via numerical invariants Examples of hyperbolic hypersurfaces of low degree in projective spaces

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:4b44de6289ae2ce9b05815684c72d407a41e829d972e67472e1d7e1a7c315a30

Observation 5d316f16-e15d-4c91-bf48-98f337937532 · outbound

This paper cites Positive plurisubharmonic currents: Generalized Lelong numbers and Tangent theorems.

Quantitative hyperbolicity for complex manifolds via numerical invariants Positive plurisubharmonic currents: Generalized Lelong numbers and Tangent theorems

Reference 13

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local_arxiv, observed 2026-07-09T21:16:34.145002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:ceaca5a8ce9b6aceb12c1e5c2813b41fdeb1dc408cb75935542a06e41a66a14a

Observation 3e745a81-b8cc-4067-b0c5-479c20e412fd · outbound

This paper cites Singularity of non-pluripolar cohomology classes.

Quantitative hyperbolicity for complex manifolds via numerical invariants Singularity of non-pluripolar cohomology classes

Reference 14

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verified exact
local_arxiv, observed 2026-07-09T21:16:34.161502Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:3fc0ba0ae4ea1439479e1c8b5d98aa9004c15baad45fbb90f9731b0d7d1929de

Observation 1a27146c-c969-4a72-99e1-b1f90d0019e2 · outbound

This paper cites Hyperbolicity in complex geometry.

Quantitative hyperbolicity for complex manifolds via numerical invariants Hyperbolicity in complex geometry

Reference 15

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raw_fallback, observed 2026-07-09T21:16:34.491267Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:9cebf61c5a90fdf45bbfdac9ab2e84101e5b9beaf6d0f28e9890be605d563ce9

Observation 779ff47b-6a8c-41d8-9a16-e7401f2726a7 · outbound

This paper cites Densities of currents on non-K ¨ahler manifolds.Int.

Quantitative hyperbolicity for complex manifolds via numerical invariants Densities of currents on non-K ¨ahler manifolds.Int

Reference 16

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raw_fallback, observed 2026-07-09T21:16:34.484091Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:061fc588f99e69718748f69454bc1525706ac42a49e888746f6a701c894ebce0

Observation 9cdb99fb-b963-4e6b-862d-6724e28436bb · outbound

This paper cites Entire curves producing distinct Nevanlinna currents.Int.

Quantitative hyperbolicity for complex manifolds via numerical invariants Entire curves producing distinct Nevanlinna currents.Int

Reference 17

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:71cec0e80a1269297a88f0e427d8c5bfa00b8042fa4020bdff1d29a43c929a5e

Pith citing papers

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