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Paper Citation Record · LEDGER

Quantitative hyperbolicity for complex manifolds via numerical invariants

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:16e340a9f9b3edfb3d9539f96f9723893fa751e6e92c2cd9a0f443bb9725e426

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:fbc80198e164e9190c480e49dee9ab4bbe8cab6a446006d7c92c349e07fea580

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:2f1c2d8eb7036ded7bbe1270c3c782c5f0f3933dd26dea988230c3a7686cdc75

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:c55040929fc29efdb1a2f054a9eb23cf0d2ec056b380d734d54546a79db47907

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:620ecdc9e7c4e78f243a83ee1e052122c9b16c5f0682002247123b435e2fb65f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:e7bc669c5900d2bad32704f7b4c708ad7d1bd303993c9992e6f4d5f14719701b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:1da831074b1133e59736a1a4e38750140f38ed87878a7e51b1a9e006885be15b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:91f828ac607db1a9972ea0e035dc06ca2226cdecb843bc1b4dddd158831d88b9

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:6516d03a6b2d20a700e607ef6e0667abe182f572b850c3d22d16a208f0ef67e1

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:7fc875840ebd1bac690a9d4848808e7a5f1e120a888b9d48d2979531e5ac463a

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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verified exact
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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:1b146c84b3e09814e8b1ec57e5c4645967375b4a378525308439ffcf683958da

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:cf32a571f9fccec95e731507729b639787411188917b9245d76d672791a60f8e

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:7d48d8fa0ce2876e6593784b807ad2fec7b25384be2a87a8acbf44038b06d8a7

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:e4821bcfd427aa932902260630e24f553ab6890778573af031d0f77b9f66b60b

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:adaf4fe9a88feb13220131b6a25ddb56a1d64b784dbf965cb26b12fbb6312bb5

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:08b4cc8b93f3fb5b72f284e5b71621497a094c04d3ea410ac53508f625ed4c19

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-09T21:13:32.043296Z digest=sha256:94f78f5f2ff11e41a5311154297dd823ccb2b4d0d31f8b6bfe7d70d0f08370f6

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