Paper Citation Record · LEDGER

Cosmological Gravitational Waves from Ultralight Vector Dark Matter

As of 24 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 2 inbound Pith citation observations for arXiv:2604.21080.

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

pith.paper-citation-record.v1
2604.21080 v3

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-05T02:06:46.812482Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:01:28.445882Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 71cd55ec-2054-4259-89f3-f117007a0f13 · outbound

This paper cites an unresolved cited work.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-05T02:10:36.721324Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 055594d3-e539-41fe-9b7a-9e85f8a138b8 · outbound

This paper cites The Weinberg construction of the adiabatic mode ex- cludes vector perturbations.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter The Weinberg construction of the adiabatic mode ex- cludes vector perturbations

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.713591Z

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Observation 12311871-a35a-4957-be12-2c99bf54117e · outbound

This paper cites an unresolved cited work.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-07-05T02:10:36.717459Z

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Observation 31603a72-133d-41f7-8da6-5d9d1c147150 · outbound

This paper cites spatial metric.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter spatial metric

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.723458Z

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Observation 541b29ba-f7c2-4006-a840-a37f5906c177 · outbound

This paper cites an unresolved cited work.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-07-05T02:10:36.719478Z

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Observation 3ee1c735-7e33-4ab7-a0e8-4f5686f6e8b1 · outbound

This paper cites For the vector sector we consider that the VFDM is the only species that sources the vector modes.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter For the vector sector we consider that the VFDM is the only species that sources the vector modes

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.719320Z

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Observation c89f96f6-39ff-4fe0-9a61-02117c2c0d4d · outbound

This paper cites an unresolved cited work.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-05T02:10:36.704249Z

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Observation a037e61e-88ed-455c-85d8-12285369185b · outbound

This paper cites This implementation is per- formed in Synchronous gauge, and is based on Ref.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter This implementation is per- formed in Synchronous gauge, and is based on Ref

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.721496Z

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Observation 6142c33f-01e6-46d1-a5dc-b0cd1ad8abce · outbound

This paper cites The tensor perturbations are only affected by the ˆe 1 compo- nents of the vector field.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter The tensor perturbations are only affected by the ˆe 1 compo- nents of the vector field

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.714996Z

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Observation 54245b33-979e-43d9-aaca-05359613312f · outbound

This paper cites Planck 2018 results. vi. cosmological parameters.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Planck 2018 results. vi. cosmological parameters

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.702450Z

Source-reported events for the cited work

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Observation 3552e3bc-ae1f-4a51-9647-a837ca335755 · outbound

This paper cites Ultra-light dark matter.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Ultra-light dark matter

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.729450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d710816c-912b-4630-a4f9-d4cdfe852a75 · outbound

This paper cites Axion cosmology.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Axion cosmology

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.733570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7b9d6a18-8473-4861-abd2-6813974881e4 · outbound

This paper cites Vector Coherent Oscillation Dark Mat- ter.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Vector Coherent Oscillation Dark Mat- ter

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.711454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b45e3cc8-ea22-4266-9723-4824298af218 · outbound

This paper cites Misalignment mechanism for a mass-varying vector boson.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Misalignment mechanism for a mass-varying vector boson

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.715505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5dabbc84-75f9-494e-bea7-5ea9c3af1d48 · outbound

This paper cites Viable vector coherent oscillation dark matter.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Viable vector coherent oscillation dark matter

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.697421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 35118b5b-c631-41a9-be9e-866cd8abadaf · outbound

This paper cites A Lower Bound on Dark Matter Mass.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter A Lower Bound on Dark Matter Mass

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.699286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation baa223ef-4666-45e7-88e8-6abedd01341b · outbound

This paper cites Axion dark matter, soli- tons and the cusp–core problem.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Axion dark matter, soli- tons and the cusp–core problem

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.704911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fd1ba1e9-8a14-4307-be1b-5c62ba755e8f · outbound

This paper cites Strong Bound on Canoni- cal Ultralight Axion Dark Matter from the Lyman-Alpha Forest.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Strong Bound on Canoni- cal Ultralight Axion Dark Matter from the Lyman-Alpha Forest

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.692689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b3dadaaa-dfa6-47d3-b457-7e71935fd6bb · outbound

This paper cites Isotropy theorem for cosmological vector fields.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Isotropy theorem for cosmological vector fields

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.690666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8ce832d6-aef1-473f-ae67-70d26ad7b25c · outbound

This paper cites Isotropy theorem for arbitrary-spin cosmolog- ical fields.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Isotropy theorem for arbitrary-spin cosmolog- ical fields

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.692017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e90105ff-00be-4782-a1ae-065e198d326e · outbound

This paper cites Cosmological perturbations with ultralight vector dark matter fields: Numerical implementation in class.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Cosmological perturbations with ultralight vector dark matter fields: Numerical implementation in class

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.656309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 93ce5004-0eb2-41fd-a63e-f69f6a171d6a · outbound

This paper cites Ultralight vector dark 15 matter, anisotropies, and cosmological adiabatic modes.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Ultralight vector dark 15 matter, anisotropies, and cosmological adiabatic modes

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.688226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 37db129e-c0ba-4790-97c8-6b1bc1061d09 · outbound

This paper cites Adiabatic modes in cosmology.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Adiabatic modes in cosmology

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.683702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 54793b39-2630-407d-83f5-c9571590d2ce · outbound

This paper cites Damping of tensor modes in cosmology.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Damping of tensor modes in cosmology

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.687272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0057d0e0-7662-4042-a076-4c5efd756d33 · outbound

This paper cites Theory of cosmological perturbations in an anisotropic uni- verse.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Theory of cosmological perturbations in an anisotropic uni- verse

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.685716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 83c97f65-d938-4f78-95a9-18145942ff2a · outbound

This paper cites Cosmological perturba- tion theory in the synchronous and conformal Newtonian gauges.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Cosmological perturba- tion theory in the synchronous and conformal Newtonian gauges

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.710595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7661f450-3cb2-4b1f-9d86-027e99ca6b80 · outbound

This paper cites Gravitational waves from stochastic relativistic sources: Primordial turbulence and magnetic fields.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Gravitational waves from stochastic relativistic sources: Primordial turbulence and magnetic fields

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.698420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 904d26c3-f023-4493-867d-fc43a5c76608 · outbound

This paper cites Gravitational waves from self-ordering scalar fields.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Gravitational waves from self-ordering scalar fields

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.669540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5fdc66de-acbc-49f4-99c3-e9ffec6759df · outbound

This paper cites Relativistic viscous effects on the primordial gravitational waves spectrum.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Relativistic viscous effects on the primordial gravitational waves spectrum

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.681309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e56961f3-d4ec-4a68-8b3b-495087c46151 · outbound

This paper cites The cosmic linear anisotropy solving system (class). part ii: Approxima- tion schemes,.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter The cosmic linear anisotropy solving system (class). part ii: Approxima- tion schemes,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.685477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fefb7a4d-4411-4c82-b568-f29a8d8520dd · outbound

This paper cites Imprint of ultralight vector fields on gravitational wave propagation.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Imprint of ultralight vector fields on gravitational wave propagation

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.671814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8590caaa-0588-4933-83d5-9eeee1d15ce7 · outbound

This paper cites Gravitational-wave sensitivity curves.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Gravitational-wave sensitivity curves

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.681730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b71c0264-b1ff-4baa-abdf-b4266133223e · outbound

This paper cites Improved Constraints on Primor- dial Gravitational Waves using Planck, WMAP, and BI- CEP/Keck Observations through the 2018 Observing Season.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Improved Constraints on Primor- dial Gravitational Waves using Planck, WMAP, and BI- CEP/Keck Observations through the 2018 Observing Season

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.727562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dc5c94e6-9203-4037-ab4f-8a1cedb628d5 · outbound

This paper cites Constraints on primordial gravitational waves from the Cosmic Mi- crowave Background.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Constraints on primordial gravitational waves from the Cosmic Mi- crowave Background

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.731685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0dbacc1c-9909-45e6-afa1-6ce2d036f1ce · outbound

This paper cites Tensor perturbations in inflationary models as a probe of cos- mology.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Tensor perturbations in inflationary models as a probe of cos- mology

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.717249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f551fbcf-00fd-4377-b984-43a6f30501db · outbound

This paper cites Gravitational wave experiments and early universe cosmology.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter Gravitational wave experiments and early universe cosmology

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.725457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 60997da4-b210-4c09-a9be-28c0c91f1be3 · outbound

This paper cites xPand: An algorithm for perturbing homogeneous cosmologies.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter xPand: An algorithm for perturbing homogeneous cosmologies

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.723282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 11027edf-2229-4099-94a6-5fef1955cb92 · outbound

This paper cites xPert: Computer algebra for metric perturbation theory.

Cosmological Gravitational Waves from Ultralight Vector Dark Matter xPert: Computer algebra for metric perturbation theory

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T02:10:36.664149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 8678b0da-7abe-47da-a225-c4da33d6505c · inbound

Spin-1 Ultralight Dark Matter under Cosmological Scrutiny: Mass Constraints from CMB and Distance Probes cites this paper.

Spin-1 Ultralight Dark Matter under Cosmological Scrutiny: Mass Constraints from CMB and Distance Probes Cosmological Gravitational Waves from Ultralight Vector Dark Matter

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-04T00:57:28.927317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8db2aab-01ee-4016-b127-26ba185d5658 · inbound

Isotropic universes with a preferred direction cites this paper.

Isotropic universes with a preferred direction Cosmological Gravitational Waves from Ultralight Vector Dark Matter

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T07:01:28.445882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.