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Paper Citation Record · LEDGER

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

As of 17 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 2026-08-16T06:30:59.297886+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

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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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
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Source-reported events for the cited work

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

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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
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Source-reported events for the cited work

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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
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Source-reported events for the cited work

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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
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Source-reported events for the cited work

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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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
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Source-reported events for the cited work

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

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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
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Source-reported events for the cited work

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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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.

source=pdf_text observed=2026-08-11T11:26:56.105042Z digest=sha256:1ff4ddf3542b273f2c6a0b59b09c7908f1c713eecde7a67de1f162f233a6cae9

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.

source=pdf_text observed=2026-08-11T11:26:56.109524Z digest=sha256:a4d4a295fb3c72969f05cc4e3e2a5acc99c4e1f546a8b6ddd3261bb123f8735a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T11:26:56.114554Z digest=sha256:7b70f42dd647d58837029f233d6a6d15d908d348f716fafc8a26b63ea910da3e

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

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source=pdf_text observed=2026-08-11T11:26:56.118639Z digest=sha256:208e6036374c8cb5a1cc383081394fce7c31542c7226c66535d779de7fa6eff7

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