Paper Citation Record · LEDGER

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures

As of 9 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2607.17878.

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

pith.paper-citation-record.v1
2607.17878 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T16:51:51.311127Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

24 of 24 outbound references displayed

verified exact0
verified fuzzy0
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 20281587-bdd4-497f-a326-cc8b44b9a25e · outbound

This paper cites Reductivity of the automorphism group of K -polystable F ano varieties.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Reductivity of the automorphism group of K -polystable F ano varieties

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:49.468409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cea4d548-58c9-4adb-b75c-5e860409132f · outbound

This paper cites Positivity of the Moduli Part.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Positivity of the Moduli Part

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:49.534097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b0d2795-dd91-4579-a978-939958fec98b · outbound

This paper cites On F ano foliations.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures On F ano foliations

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:49.600115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fce1c780-6050-4d0e-85d6-73f5f5d6f959 · outbound

This paper cites Existence of moduli spaces for algebraic stacks.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Existence of moduli spaces for algebraic stacks

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:49.687016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2cd18d2c-ecfa-440c-af8a-f23f0c0ba5e6 · outbound

This paper cites Openness of uniform K -stability in families of Q - F ano varieties.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Openness of uniform K -stability in families of Q - F ano varieties

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:49.808328Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c6c2a60-405f-483b-9816-e1225eeb4c84 · outbound

This paper cites Openness of K -semistability for F ano varieties.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Openness of K -semistability for F ano varieties

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:49.873416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67355388-e331-4672-baa5-be4fd8994f57 · outbound

This paper cites Birational Geometry of Foliations , volume 1 of IMPA Monographs.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Birational Geometry of Foliations , volume 1 of IMPA Monographs

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:49.937144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1ce21db-a352-4713-b61c-21fb9662cf53 · outbound

This paper cites Uniqueness of K -polystable degenerations of F ano varieties.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Uniqueness of K -polystable degenerations of F ano varieties

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:49.986771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f318e9f8-79cf-4855-85ff-43508e77bde8 · outbound

This paper cites On the construction of quotient spaces by algebraic foliations.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures On the construction of quotient spaces by algebraic foliations

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:50.057086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 178fede6-8cce-4a34-a33f-6a3046a8ffeb · outbound

This paper cites Algebraic leaves of algebraic foliations over number fields.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Algebraic leaves of algebraic foliations over number fields

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:50.116220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9e6357c-7c15-4a1d-ace6-66f2529ad1c7 · outbound

This paper cites Minimal model program for algebraically integrable adjoint foliated structures.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Minimal model program for algebraically integrable adjoint foliated structures

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:50.221070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e0ef693-9fe3-4d3e-b363-fbd7092354be · outbound

This paper cites On finite generation and boundedness of adjoint foliated structures.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures On finite generation and boundedness of adjoint foliated structures

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:50.282587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d733eb4-6c13-48e1-a687-0c3ef8b30abe · outbound

This paper cites Birational boundedness of stable families.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Birational boundedness of stable families

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:50.345904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d9ec73e-18c3-4c36-9f65-42d46a436946 · outbound

This paper cites On the MMP for rank one foliations on threefolds.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures On the MMP for rank one foliations on threefolds

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:50.409334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71c2da12-a5ef-4243-ba88-5313f6dc46fc · outbound

This paper cites Boundedness of Q -fano varieties with degrees and alpha-invariants bounded from below.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Boundedness of Q -fano varieties with degrees and alpha-invariants bounded from below

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:50.527696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 290495d1-998c-4add-8f47-0a70d378622a · outbound

This paper cites Families of Varieties of General Type.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Families of Varieties of General Type

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:50.634840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5e3906a-8d14-4a1f-a17d-3bb86788622e · outbound

This paper cites A generalization of the R oss-- T homas slope theory.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures A generalization of the R oss-- T homas slope theory

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:50.786823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5cb9f00-0672-45ca-acb8-1e25c6b30ed2 · outbound

This paper cites K-stability of adjoint foliated structures.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures K-stability of adjoint foliated structures

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:50.894353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20602ba4-7129-4c53-ad24-21397a5d28f4 · outbound

This paper cites Singularity criteria for K-stability of adjoint foliated structures.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Singularity criteria for K-stability of adjoint foliated structures

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:50.973214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c3c488e-b500-4f9f-9e0b-87a4a722e654 · outbound

This paper cites Almost proper GIT -stacks and discriminant avoidance.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Almost proper GIT -stacks and discriminant avoidance

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:51.072303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f010152a-ed40-46ab-88ad-b9c0bcef233c · outbound

This paper cites Seidenberg.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Seidenberg

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:51.144684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 825b3b49-2cda-47bc-80db-561adaf36f69 · outbound

This paper cites The Stacks Project.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures The Stacks Project

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:51.202944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f388894-7ca3-440f-8930-42540e37cae6 · outbound

This paper cites Height and GIT weight.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Height and GIT weight

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:51.271918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31030e75-176c-459a-9931-95094ad46301 · outbound

This paper cites an unresolved cited work.

$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T16:51:51.311127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.