Paper Citation Record · LEDGER

Spherical collapse in DHOST theories and EFT of dark energy

As of 18 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2504.12656.

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

pith.paper-citation-record.v1
2504.12656 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:32:13.405212Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

49 of 49 outbound references displayed

verified exact5
verified fuzzy2
unresolved42
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 98fc5cd7-fd36-4b6f-8364-92dd27c780c5 · outbound

This paper cites In order for the theory to propagate one scalar and two tensor degrees of freedom, the functions f andaI must obey degeneracy conditions.

Spherical collapse in DHOST theories and EFT of dark energy In order for the theory to propagate one scalar and two tensor degrees of freedom, the functions f andaI must obey degeneracy conditions

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:32:14.447804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8fe224c1-6d34-4ca6-8253-dc369299c9ad · outbound

This paper cites One can map the DHOST action to the α-basis representation of the EFT of dark energy following [44] and [17].

Spherical collapse in DHOST theories and EFT of dark energy One can map the DHOST action to the α-basis representation of the EFT of dark energy following [44] and [17]

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:32:14.428600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 472a3b66-d498-4283-9e3c-b58739d30299 · outbound

This paper cites Measurements of Omega and Lambda from 42 High-Redshift Supernovae.

Spherical collapse in DHOST theories and EFT of dark energy Measurements of Omega and Lambda from 42 High-Redshift Supernovae

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.141221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e77389ba-c169-4771-a149-65ce727ae929 · outbound

This paper cites Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant.

Spherical collapse in DHOST theories and EFT of dark energy Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.146590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 596fea9f-abac-4935-a90b-ec1ea7f8efbe · outbound

This paper cites Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability.

Spherical collapse in DHOST theories and EFT of dark energy Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.152184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c841fc9f-32b4-4a33-9e1d-f2aa77ae730f · outbound

This paper cites Extended Scalar-Tensor Theories of Gravity.

Spherical collapse in DHOST theories and EFT of dark energy Extended Scalar-Tensor Theories of Gravity

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.157561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3adaf327-cce5-4517-be74-91f5f6bfca86 · outbound

This paper cites Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order.

Spherical collapse in DHOST theories and EFT of dark energy Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.162836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca6a226b-be00-4d62-8311-5d02a3556ab1 · outbound

This paper cites an unresolved cited work.

Spherical collapse in DHOST theories and EFT of dark energy Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:32:14.408371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d3670dc4-3dbb-495c-9cbc-1172a24ad7e6 · outbound

This paper cites Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review.

Spherical collapse in DHOST theories and EFT of dark energy Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.173462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e17ecb7d-cb30-4f7a-a923-9abec5c757b5 · outbound

This paper cites Horndeski theory and beyond: a review.

Spherical collapse in DHOST theories and EFT of dark energy Horndeski theory and beyond: a review

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.178807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b943f6d1-28ae-45eb-9d0b-a93ee0ba871f · outbound

This paper cites Cosmological evolution in DHOST theories.

Spherical collapse in DHOST theories and EFT of dark energy Cosmological evolution in DHOST theories

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.184146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ce2179a-2051-4fc9-aa0b-7fed5b14d2cb · outbound

This paper cites Constraining DHOST theories with linear growth of matter density fluctuations.

Spherical collapse in DHOST theories and EFT of dark energy Constraining DHOST theories with linear growth of matter density fluctuations

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:32:14.190161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 30cb76d4-7f55-4258-b6a9-178d30cce1c4 · outbound

This paper cites Testing gravity theories with cosmic microwave background in the degenerate higher-order scalar-tensor theory.

Spherical collapse in DHOST theories and EFT of dark energy Testing gravity theories with cosmic microwave background in the degenerate higher-order scalar-tensor theory

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.194878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e4cd39f-f994-4325-bbdf-83b3ba96c349 · outbound

This paper cites CMB constraints on DHOST theories.

Spherical collapse in DHOST theories and EFT of dark energy CMB constraints on DHOST theories

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.199796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad85547a-7a87-4c91-9c43-271768bcf1cd · outbound

This paper cites Primordial gravitational waves in DHOST inflation.

Spherical collapse in DHOST theories and EFT of dark energy Primordial gravitational waves in DHOST inflation

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:32:14.127402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9839a2df-51c7-4830-89ed-545884725b0d · outbound

This paper cites Breaking of Vainshtein screening in scalar-tensor theories beyond Horndeski.

Spherical collapse in DHOST theories and EFT of dark energy Breaking of Vainshtein screening in scalar-tensor theories beyond Horndeski

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.210621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6333f76e-8089-49ee-85e9-3b2c04b4fdf2 · outbound

This paper cites Scalar-tensor theories and modified gravity in the wake of GW170817.

Spherical collapse in DHOST theories and EFT of dark energy Scalar-tensor theories and modified gravity in the wake of GW170817

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.215825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7c4b0a6-5202-4f78-a5c2-32c891d09bac · outbound

This paper cites Vainshtein mechanism after GW170817.

Spherical collapse in DHOST theories and EFT of dark energy Vainshtein mechanism after GW170817

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.222676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86dd7b36-79cd-430a-b568-0c74ad172ecb · outbound

This paper cites Vainshtein Screening in Scalar-Tensor Theories before and after GW170817: Constraints on Theories beyond Horndeski.

Spherical collapse in DHOST theories and EFT of dark energy Vainshtein Screening in Scalar-Tensor Theories before and after GW170817: Constraints on Theories beyond Horndeski

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.229340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5efda193-1e51-45ed-acfe-a0b970efe547 · outbound

This paper cites On the screening mechanism in DHOST theories evading gravitational wave constraints.

Spherical collapse in DHOST theories and EFT of dark energy On the screening mechanism in DHOST theories evading gravitational wave constraints

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.234886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b14c561-1061-4074-9bdc-aad4b764706c · outbound

This paper cites Relativistic Stars in Beyond Horndeski Theories.

Spherical collapse in DHOST theories and EFT of dark energy Relativistic Stars in Beyond Horndeski Theories

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.241087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cea8cf7-2d3d-4e52-bfc0-d3f475b963b7 · outbound

This paper cites Towards Strong Field Tests of Beyond Horndeski Gravity Theories.

Spherical collapse in DHOST theories and EFT of dark energy Towards Strong Field Tests of Beyond Horndeski Gravity Theories

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.246430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7576e37f-e50e-4d03-bc30-6ffcf86e0935 · outbound

This paper cites Relativistic stars in degenerate higher-order scalar-tensor theories after GW170817.

Spherical collapse in DHOST theories and EFT of dark energy Relativistic stars in degenerate higher-order scalar-tensor theories after GW170817

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.251571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 769e4387-d7ea-4e94-9aa0-e97e205fe4a4 · outbound

This paper cites Gravitomagnetic tidal response of relativistic stars in partially screened scalar-tensor theories.

Spherical collapse in DHOST theories and EFT of dark energy Gravitomagnetic tidal response of relativistic stars in partially screened scalar-tensor theories

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.256452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ac39e71-1b5d-4652-9762-9a5e37737341 · outbound

This paper cites Vainshtein screening in a cosmological background in the most general second-order scalar-tensor theory.

Spherical collapse in DHOST theories and EFT of dark energy Vainshtein screening in a cosmological background in the most general second-order scalar-tensor theory

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.261992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0607a399-9ab1-4d2b-ba3a-9b3acaf7f45f · outbound

This paper cites Testing general scalar-tensor gravity and massive gravity with cluster lensing.

Spherical collapse in DHOST theories and EFT of dark energy Testing general scalar-tensor gravity and massive gravity with cluster lensing

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.267205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bfe26c0-226c-4730-b92e-b1abccf1f5c5 · outbound

This paper cites Effective theory for the Vainshtein mechanism from the Horndeski action.

Spherical collapse in DHOST theories and EFT of dark energy Effective theory for the Vainshtein mechanism from the Horndeski action

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.274017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5197239b-2434-456b-b610-f1a7caa465ff · outbound

This paper cites Cosmological gravity probes: connecting recent theoretical developments to forthcoming observations.

Spherical collapse in DHOST theories and EFT of dark energy Cosmological gravity probes: connecting recent theoretical developments to forthcoming observations

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.279324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2f2d467-ea9c-48db-a2ce-4cbe72f8db0c · outbound

This paper cites Spherical Collapse in covariant Galileon theory.

Spherical collapse in DHOST theories and EFT of dark energy Spherical Collapse in covariant Galileon theory

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.287788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2aab194-95f2-497f-9af7-88a92570952f · outbound

This paper cites Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors.

Spherical collapse in DHOST theories and EFT of dark energy Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.293298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81b1f900-1971-46dc-93c8-b9941a1dd32e · outbound

This paper cites Covariant Galileon.

Spherical collapse in DHOST theories and EFT of dark energy Covariant Galileon

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.308054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61b1bdb2-8cd4-44d4-aa47-496addab48ef · outbound

This paper cites Spherical collapse in Galileon gravity: fifth force solutions, halo mass function and halo bias.

Spherical collapse in DHOST theories and EFT of dark energy Spherical collapse in Galileon gravity: fifth force solutions, halo mass function and halo bias

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.314081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7948c15c-f96d-4579-93e9-419188ae2776 · outbound

This paper cites Growth of non-linear structures and spherical collapse in the Galileon Ghost Condensate model.

Spherical collapse in DHOST theories and EFT of dark energy Growth of non-linear structures and spherical collapse in the Galileon Ghost Condensate model

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:32:13.763053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f6ae2516-cbfb-46af-aa56-3f4a293c447d · outbound

This paper cites Imperfect Dark Energy from Kinetic Gravity Braiding.

Spherical collapse in DHOST theories and EFT of dark energy Imperfect Dark Energy from Kinetic Gravity Braiding

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.327241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df22110f-ea0a-4017-9d1a-7d7d6d1451b0 · outbound

This paper cites Dark energy scenario consistent with GW170817 in theories beyond Horndeski gravity.

Spherical collapse in DHOST theories and EFT of dark energy Dark energy scenario consistent with GW170817 in theories beyond Horndeski gravity

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.332619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3ffaea3-7b9f-4bd5-a12b-ae0efcbe36ad · outbound

This paper cites Spherical collapse and halo abundance in shift-symmetric Galileon theory.

Spherical collapse in DHOST theories and EFT of dark energy Spherical collapse and halo abundance in shift-symmetric Galileon theory

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.337634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30a7550b-ae0b-412d-beac-1fead789b7a6 · outbound

This paper cites Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A.

Spherical collapse in DHOST theories and EFT of dark energy Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.342876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8b49b03-7ec7-48c1-b75b-a6527590c75f · outbound

This paper cites Dark Energy after GW170817 and GRB170817A.

Spherical collapse in DHOST theories and EFT of dark energy Dark Energy after GW170817 and GRB170817A

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.348053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 302a551a-e1f9-45c6-b533-96b844e026b6 · outbound

This paper cites Strong constraints on cosmological gravity from GW170817 and GRB 170817A.

Spherical collapse in DHOST theories and EFT of dark energy Strong constraints on cosmological gravity from GW170817 and GRB 170817A

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.353135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74adeb8e-dee0-49dd-aa0d-fe775bb06de2 · outbound

This paper cites Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories.

Spherical collapse in DHOST theories and EFT of dark energy Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.358114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 403b07dc-6ea0-410c-a2f1-13bb64743101 · outbound

This paper cites Dark Energy after GW170817: dead ends and the road ahead.

Spherical collapse in DHOST theories and EFT of dark energy Dark Energy after GW170817: dead ends and the road ahead

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.363055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01cfd2af-2817-4b2f-b954-11ff00fd354b · outbound

This paper cites Gravitational Wave Decay into Dark Energy.

Spherical collapse in DHOST theories and EFT of dark energy Gravitational Wave Decay into Dark Energy

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.368390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23732686-a985-447c-ba98-7335d7269dfc · outbound

This paper cites Vainshtein regime in Scalar-Tensor gravity: constraints on DHOST theories.

Spherical collapse in DHOST theories and EFT of dark energy Vainshtein regime in Scalar-Tensor gravity: constraints on DHOST theories

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.373251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 682ed73f-f235-43dc-b343-d0eba5781224 · outbound

This paper cites an unresolved cited work.

Spherical collapse in DHOST theories and EFT of dark energy Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:32:14.389716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fd8c185b-7e5e-435d-ac4b-ac7e0458b46b · outbound

This paper cites Testing gravity with the cosmic microwave background: constraints on modified gravity with two tensorial degrees of freedom.

Spherical collapse in DHOST theories and EFT of dark energy Testing gravity with the cosmic microwave background: constraints on modified gravity with two tensorial degrees of freedom

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:32:13.532277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1b63dbea-23a7-4160-b271-a4a329bb76f5 · outbound

This paper cites Effective Description of Higher-Order Scalar-Tensor Theories.

Spherical collapse in DHOST theories and EFT of dark energy Effective Description of Higher-Order Scalar-Tensor Theories

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.388514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0dcc01f9-9928-4da8-87b2-850fc72b0fca · outbound

This paper cites Ostrogradsky in Theories with Multiple Fields.

Spherical collapse in DHOST theories and EFT of dark energy Ostrogradsky in Theories with Multiple Fields

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.394407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4803349a-d5b9-4d28-9e6e-c1310fa70c89 · outbound

This paper cites Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity.

Spherical collapse in DHOST theories and EFT of dark energy Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-16T12:32:13.399729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 634263d6-55a0-4a5b-a339-6491157b613b · outbound

This paper cites Cosmological evolution of viable models in the generalized scalar-tensor theory.

Spherical collapse in DHOST theories and EFT of dark energy Cosmological evolution of viable models in the generalized scalar-tensor theory

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:32:13.454951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.