Paper Citation Record · LEDGER

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity

As of 12 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2606.19155.

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

pith.paper-citation-record.v1
2606.19155 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T19:15:26.996336Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T21:16:34.153748Z

Reference resolution

24 of 24 outbound references displayed

verified exact4
verified fuzzy0
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External citation measurements

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Outbound references

Observation 28b52d2d-ae5f-4a41-827a-3ab6faa76cd9 · outbound

This paper cites Sur les syst` emes de fonctions uniformes satisfaisant a l’´ equation d’une vari´ et´ e alg´ ebrique dont l’irr´ egularit´ e depasse la dimension.J.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Sur les syst` emes de fonctions uniformes satisfaisant a l’´ equation d’une vari´ et´ e alg´ ebrique dont l’irr´ egularit´ e depasse la dimension.J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation 14c5de5c-adab-4ee3-93d5-9771ebfd91b4 · outbound

This paper cites Symmetric differential forms on complete intersection varieties and applications.Math.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Symmetric differential forms on complete intersection varieties and applications.Math

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation 99be6b2d-b529-4b01-9c06-8c5f2e7aeeb6 · outbound

This paper cites On the hyperbolicity of general hypersurfaces.Publications math´ ematiques de l’IH´ES, 126(1):1– 34, 2017.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity On the hyperbolicity of general hypersurfaces.Publications math´ ematiques de l’IH´ES, 126(1):1– 34, 2017

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation d6e083b0-d5ae-4a2e-9a6b-2d3bb9fe1626 · outbound

This paper cites Complete intersection varieties with ample cotangent bundles.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Complete intersection varieties with ample cotangent bundles

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-07-04T02:49:24.328397Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9825eacc-67ea-45d3-a269-22826317ddab · outbound

This paper cites Curves on generic hypersurfaces.Ann.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Curves on generic hypersurfaces.Ann

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation 84b76b69-6ab8-4bfc-8f9f-2ac8ef84d3d0 · outbound

This paper cites Algebraic criteria for Kobayashi hyperbolic projective varieties and jet differentials.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Algebraic criteria for Kobayashi hyperbolic projective varieties and jet differentials

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation b4720ba1-424b-4349-8ea3-2123f7046ff4 · outbound

This paper cites Hyperbolicity of generic surfaces of high degree in projective 3-space.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Hyperbolicity of generic surfaces of high degree in projective 3-space

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation 1831fdb2-4ef1-4867-8ff2-96cee3e3bfdc · outbound

This paper cites Logarithmic jets and hyperbolicity.Osaka J.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Logarithmic jets and hyperbolicity.Osaka J

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation 19f4e367-d462-4eb4-9df9-6717b3ce2964 · outbound

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

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Two applications of algebraic geometry to entire holomorphic mappings

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation 1c912262-6ede-45f9-9dc7-5bb67fbd6f6b · outbound

This paper cites ´El´ ements de g´ eom´ etrie alg´ ebrique : IV.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity ´El´ ements de g´ eom´ etrie alg´ ebrique : IV

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation ba2bdc4f-85c0-478f-aa48-430d0a12bd18 · outbound

This paper cites A second main theorem for entire curves intersecting three conics.Preprint arXiv:2512.03948, 2025.↑5, 8, 38, 40, 44, 45, 49 51.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity A second main theorem for entire curves intersecting three conics.Preprint arXiv:2512.03948, 2025.↑5, 8, 38, 40, 44, 45, 49 51

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-04T02:49:24.330580Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c260d2c8-7a73-4967-bb39-d54ef0d83d4d · outbound

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

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Vanishing of Invariant 2-Jet Differentials and Improved Hyperbolicity Degree Bounds in Dimension Two

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-04T02:49:24.333823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 364ceb3c-d26f-4d9a-8853-1b7aa902ebbf · outbound

This paper cites Holomorphic curves in surfaces of general type.Proc.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Holomorphic curves in surfaces of general type.Proc

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation e1f5b759-c9a6-4ab2-95f0-76706c11e463 · outbound

This paper cites Diophantine approximations and foliations.Inst.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Diophantine approximations and foliations.Inst

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation 91908cc0-6fec-421c-9939-6bfd984c7adc · outbound

This paper cites Holomorphic curves on hyperplane sections of 3-folds.Geom.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Holomorphic curves on hyperplane sections of 3-folds.Geom

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation dbc74cdb-d262-4e58-bbc4-49a13cd3ece5 · outbound

This paper cites Algebraic surfaces with positive indices.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Algebraic surfaces with positive indices

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation 3ba7d595-a7c1-4448-a4bd-46192b3f823f · outbound

This paper cites Vector fields on the total space of hypersurfaces in the projective space and hyperbolicity.Math.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Vector fields on the total space of hypersurfaces in the projective space and hyperbolicity.Math

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation e56c8e8b-2b65-4164-9a37-a7c80e8994b8 · outbound

This paper cites Logarithmic vector fields and hyperbolicity.Nagoya Math.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Logarithmic vector fields and hyperbolicity.Nagoya Math

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation 788fce39-7585-42eb-9c50-7b35d4ddedf8 · outbound

This paper cites Symmetric powers of the cotangent bundle and classification of algebraic varieties.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Symmetric powers of the cotangent bundle and classification of algebraic varieties

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation ef351e9e-cd2f-44a2-b3f5-1c6f0a8f1db0 · outbound

This paper cites Hyperbolicity in complex geometry.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Hyperbolicity in complex geometry

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation d4795b71-19bc-440e-80b8-08142e2ea970 · outbound

This paper cites A generalized Bloch’s theorem and the hyperbolicity of the complement of an ample divisor in an abelian variety.Math.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity A generalized Bloch’s theorem and the hyperbolicity of the complement of an ample divisor in an abelian variety.Math

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation 318ec46f-e968-468d-a93f-4c1fef908cf2 · outbound

This paper cites Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane.Invent.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane.Invent

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Observation 9ebc4535-c0df-44a0-b50f-8be1708c265c · outbound

This paper cites On the ampleness of the cotangent bundles of complete intersections.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity On the ampleness of the cotangent bundles of complete intersections

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-07-04T02:49:24.327216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a22184c1-5132-4320-9b03-767a8a307311 · outbound

This paper cites Subvarieties of general hypersurfaces in projective space.Journal of Differential Geometry, 39(1):139– 172, 1994.

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity Subvarieties of general hypersurfaces in projective space.Journal of Differential Geometry, 39(1):139– 172, 1994

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-26T19:15:26.996336Z

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Pith citing papers

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

Quantitative hyperbolicity for complex manifolds via numerical invariants cites this paper.

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

Reference 4

Resolution: 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 2026-08-12T06:34:41.77262+00:00.