Paper Citation Record · LEDGER

The imprint of cosmic expansion history on the propagation of gravitational waves

As of 12 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2412.15578.

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

pith.paper-citation-record.v1
2412.15578 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:26:56.118639Z

measured 37 of 37 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 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

37 of 37 outbound references displayed

verified exact0
verified fuzzy20
unresolved17
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8ac15fdc-aaee-4da1-9153-99bd2f66f9f8 · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.532083Z

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 71021c18-32ec-4ce0-8e1c-8ab7a893dc04 · outbound

This paper cites ( 3), we have δSµν = 3 8π ( ¨a a + k + ˙a2 a2 ) hµν.

The imprint of cosmic expansion history on the propagation of gravitational waves ( 3), we have δSµν = 3 8π ( ¨a a + k + ˙a2 a2 ) hµν

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.622002Z

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 61e6b4c2-8e52-43cc-93d3-f842886fd46e · outbound

This paper cites Acernese et al.

The imprint of cosmic expansion history on the propagation of gravitational waves Acernese et al

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.506444Z

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 18bae41a-e1ce-4547-87fc-47c247d49271 · outbound

This paper cites Somiya and (for the KAGRA Collabo- ration), Detector conﬁguration of kagra–the japanese cryogenic gravitational-wave detector, Classical and Quantum Gravity 29, 124007 (2012).

The imprint of cosmic expansion history on the propagation of gravitational waves Somiya and (for the KAGRA Collabo- ration), Detector conﬁguration of kagra–the japanese cryogenic gravitational-wave detector, Classical and Quantum Gravity 29, 124007 (2012)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.493649Z

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 19d0282c-289a-4215-b436-b59750c659e9 · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.608900Z

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 6cf53c31-e9ec-4294-8788-1bd0ef93d023 · outbound

This paper cites Abbott et al.

The imprint of cosmic expansion history on the propagation of gravitational waves Abbott et al

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.466556Z

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 ab4974c3-6fba-4bb2-bab1-c4fa352f37c7 · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.545060Z

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 8d91ebb4-ce0e-47fc-9b1a-7125a654f8cc · outbound

This paper cites Agazie et al.

The imprint of cosmic expansion history on the propagation of gravitational waves Agazie et al

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.440856Z

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 d787b661-30e4-4c82-82b8-729a0f459770 · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.519039Z

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 4b90e01b-5867-48bd-9775-7981ecb70b18 · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.414356Z

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 1d390d6b-dcb1-40b4-bc44-c3f4ff63ee1a · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.402352Z

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 108ee3e2-45df-4a41-ac99-23d73625718c · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.479451Z

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 6c1cb4ba-8209-4b9c-85d7-2470e845e363 · outbound

This paper cites Gouttenoire, First-order phase transition interpreta- tion of pulsar timing array signal is consistent with solar- mass black holes, Phys.

The imprint of cosmic expansion history on the propagation of gravitational waves Gouttenoire, First-order phase transition interpreta- tion of pulsar timing array signal is consistent with solar- mass black holes, Phys

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.390699Z

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 9d61f99a-2e82-4491-b598-5ecbedc63078 · outbound

This paper cites ( 15) are the radial part and time part, respectively.

The imprint of cosmic expansion history on the propagation of gravitational waves ( 15) are the radial part and time part, respectively

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.582668Z

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 73cbbc28-2b17-4d99-9b65-c3d99604dbc9 · outbound

This paper cites Abbott et al.

The imprint of cosmic expansion history on the propagation of gravitational waves Abbott et al

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.453466Z

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 e470d458-eca7-4d16-abe6-d70d721192da · outbound

This paper cites , The second data release from the european pulsar timing array - i.

The imprint of cosmic expansion history on the propagation of gravitational waves , The second data release from the european pulsar timing array - i

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.428119Z

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 f8a37289-32e7-4154-a786-13f0f027ccd1 · outbound

This paper cites Xue, Z.-Q.

The imprint of cosmic expansion history on the propagation of gravitational waves Xue, Z.-Q

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.340127Z

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 1d3ba63b-54fc-40e3-bba7-d889a15912ae · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.326565Z

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 8c95b7b3-d381-4047-b3dc-f4a7004ab063 · outbound

This paper cites Using gravitational waves to see the first second of the Universe.

The imprint of cosmic expansion history on the propagation of gravitational waves Using gravitational waves to see the first second of the Universe

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T11:26:56.045412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ef9c7a6-489f-45b8-964e-ffbbf05b44b0 · outbound

This paper cites Discussion— In this Letter, we study the perturbation of the R W metric and separate variables using spheri- cal tensors.

The imprint of cosmic expansion history on the propagation of gravitational waves Discussion— In this Letter, we study the perturbation of the R W metric and separate variables using spheri- cal tensors

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.595837Z

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Observation 515f6d0d-b967-4747-b53d-607ecaf7cc2e · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.378579Z

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 5669a59a-8a6d-4af1-8d4f-bec7ba4c9349 · outbound

This paper cites ( 18) are not invariant under this transformation, which indi- cates its potential to break the degeneracy between the chirp mass Mc and the redshift z.

The imprint of cosmic expansion history on the propagation of gravitational waves ( 18) are not invariant under this transformation, which indi- cates its potential to break the degeneracy between the chirp mass Mc and the redshift z

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.557655Z

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 fbbea162-422e-478f-b3ca-36c887c8536f · outbound

This paper cites If one neglects its contribution, it may result in a non-negligible systemic error in parameter estimation.

The imprint of cosmic expansion history on the propagation of gravitational waves If one neglects its contribution, it may result in a non-negligible systemic error in parameter estimation

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.570298Z

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 d90858ce-93ab-46f3-a27c-fb06bbb30198 · outbound

This paper cites Smarra, B.

The imprint of cosmic expansion history on the propagation of gravitational waves Smarra, B

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.366017Z

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 e3e61cda-b1c7-4f38-aaff-3c929864fa16 · outbound

This paper cites Alonso- ´Alvarez, J.

The imprint of cosmic expansion history on the propagation of gravitational waves Alonso- ´Alvarez, J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.353073Z

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 5833359b-bf72-4743-8635-2137c41e36d8 · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.313139Z

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 94c10bc8-7da1-4c54-9a48-8adb76753d55 · outbound

This paper cites Cutler and E.

The imprint of cosmic expansion history on the propagation of gravitational waves Cutler and E

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.300011Z

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 f3bf8f65-625c-478e-a47a-28eedddc5e34 · outbound

This paper cites Riazuelo and J.-P.

The imprint of cosmic expansion history on the propagation of gravitational waves Riazuelo and J.-P

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.286296Z

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 1ec97921-2a9a-4b56-935e-1ac9ba9e71b5 · outbound

This paper cites Nishizawa, Generalized framework for testing grav- ity with gravitational-wave propagation.

The imprint of cosmic expansion history on the propagation of gravitational waves Nishizawa, Generalized framework for testing grav- ity with gravitational-wave propagation

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.270981Z

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Observation 790b43f2-6bbe-4972-a04e-6f08959aa5b4 · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.255994Z

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 1ba07c5f-481d-4e22-995a-bf763aa608fe · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.242716Z

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 02cf1dec-76e1-49b0-b1a9-806d5b3ee5d2 · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.229770Z

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 c8ba22a5-3d79-42de-a17b-72b39e8a3dcf · outbound

This paper cites an unresolved cited work.

The imprint of cosmic expansion history on the propagation of gravitational waves Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:26:56.216358Z

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 02287d1c-a221-4199-884e-440ac1e3aff4 · outbound

This paper cites Regge and J.

The imprint of cosmic expansion history on the propagation of gravitational waves Regge and J

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T11:26:56.105042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93a84bc7-01b9-437d-baf1-39801ae3162c · outbound

This paper cites Laser Interferometer Space Antenna.

The imprint of cosmic expansion history on the propagation of gravitational waves Laser Interferometer Space Antenna

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T11:26:56.109524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ce86a34-7298-4a47-99ed-64a7768b8ac9 · outbound

This paper cites Hu and Y.-L.

The imprint of cosmic expansion history on the propagation of gravitational waves Hu and Y.-L

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.194128Z

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 3ac96091-2568-40e8-a0e1-ba511710cc32 · outbound

This paper cites Luo, L.-S.

The imprint of cosmic expansion history on the propagation of gravitational waves Luo, L.-S

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:26:56.180412Z

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.

Pith citing papers

No inbound Pith citation observations are available.