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Paper Citation Record · LEDGER

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes

As of 20 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2505.16794.

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

pith.paper-citation-record.v1
2505.16794 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:04:40.605916Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T21:31:03.692854Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T20:16:11.103272Z

Reference resolution

45 of 45 outbound references displayed

  • verified exact7
  • verified fuzzy15
  • unresolved23
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 86278c63-cdc5-402d-a541-c4e31629a81f · outbound

This paper cites 2169, 20140361.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 2169, 20140361

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 7702976f-c83b-453a-83bc-7b8e291b0252 · outbound

This paper cites 1, 261–298.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 1, 261–298

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 2d222b07-9eea-40d1-a31b-ff846effc0c8 · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation e4be4c75-5562-4e30-827c-e0b72d9c18f6 · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:04:41.369720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 210b6bcc-1733-4657-b4cc-e638c91a2b42 · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 5

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 326454ef-69a8-4212-882a-f1c1834802d1 · outbound

This paper cites 04, 587–634.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 04, 587–634

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation cc705b41-e6c5-4067-ac57-88552dde8255 · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 7

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation cd3e9a57-7a13-4087-90a3-6d5e90be1fd7 · outbound

This paper cites 2, European Mathematical Society, 2007.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 2, European Mathematical Society, 2007

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 40b2a683-b684-4439-959c-6036c22e2987 · outbound

This paper cites 01, 35–58.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 01, 35–58

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 5529382d-7508-424b-b3e1-11e7d3f33730 · outbound

This paper cites Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes

Reference 10

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ec18754e-cecb-4e7b-8d53-313ae79ac317 · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 11

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 5c616413-2e69-46d7-a70b-dbbb3c683556 · outbound

This paper cites An extension of the $r^p$ method for wave equations with scale-critical potentials and first-order terms.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes An extension of the $r^p$ method for wave equations with scale-critical potentials and first-order terms

Reference 12

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 652722ed-c22c-4409-a8e9-d0b158524b54 · outbound

This paper cites Geren, and Rainer K.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Geren, and Rainer K

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation fe24a140-3230-49a0-9e72-114b2bd853ba · outbound

This paper cites Phase transition between shock formation and stability in cosmological fluids.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Phase transition between shock formation and stability in cosmological fluids

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T15:04:40.458348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation aa06659f-fd0b-4869-85a1-8043c3d41694 · outbound

This paper cites Stability of fluids in spacetimes with decelerated expansion.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Stability of fluids in spacetimes with decelerated expansion

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T15:04:40.467745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 9bab2f70-0e18-4274-ba51-349163178460 · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 16

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 448b7928-5157-4bda-ae94-e519a195311f · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 17

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 67a5d85f-c2d2-4f07-a5d1-a8331c218ca4 · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 18

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 13aa61f2-d67d-4247-b254-f8005f91a984 · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 19

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 57b2f546-7107-4d9f-9473-19126b903dd0 · outbound

This paper cites 01, 87–188.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 01, 87–188

Reference 20

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation b7cfc578-42ca-4b93-b811-99ad4d5c514c · outbound

This paper cites Hawking and George F.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Hawking and George F

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 143577ee-fc06-4f4b-9361-3fef353190cb · outbound

This paper cites Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping

Reference 22

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 5f181fd3-9162-435a-ac3c-6024c3de251f · outbound

This paper cites The weak null condition and global existence using the p-weighted energy method.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes The weak null condition and global existence using the p-weighted energy method

Reference 23

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 66e7b81c-f3dd-454c-a72a-d74744a6ee59 · outbound

This paper cites Section A, Physique Th´ eorique35(1981), no.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Section A, Physique Th´ eorique35(1981), no

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 4af7b3c1-3e23-435b-adf2-26749207d6bc · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:04:41.157353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 967382eb-1668-4814-a1ed-8c9179af782a · outbound

This paper cites Instability of Slowly Expanding FLRW Spacetimes.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Instability of Slowly Expanding FLRW Spacetimes

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:04:40.829320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d56bff9e-2251-4089-9f67-f640fc8e2a1c · outbound

This paper cites 7, 232 –236.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 7, 232 –236

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation b8f53523-47fb-4ced-9b1a-9c270551e4d6 · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:04:41.129403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 42efe7d7-e5f7-4d43-8567-52417c5cbeca · outbound

This paper cites Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes

Reference 29

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 76f1d12c-ef27-433a-92b5-dea69e16a082 · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:04:41.115566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 33ac73bc-8161-4346-8db0-1268e676de2a · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:04:41.097527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation adf56bae-0576-4af8-b9af-25b11a080487 · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:04:41.082713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 77b4ec56-8d90-41b5-9b32-485a4e7e0f07 · outbound

This paper cites Robertson,On the foundations of relativistic cosmology, Proceedings of the National Academy of Sciences15 (1929), no.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Robertson,On the foundations of relativistic cosmology, Proceedings of the National Academy of Sciences15 (1929), no

Reference 33

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 5a0daf3f-f024-4347-a285-779de3ef3592 · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:04:41.068226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 5c8f0268-7c40-4e4a-adda-97adde2414bc · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:04:41.054796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 897e1237-f3b6-4331-b429-b37a5af16e82 · outbound

This paper cites The Stability of the Irrotational Euler-Einstein System with a Positive Cosmological Constant.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes The Stability of the Irrotational Euler-Einstein System with a Positive Cosmological Constant

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:04:40.682619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 94767942-973a-433e-8977-da4955d61299 · outbound

This paper cites 17, 175004.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 17, 175004

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:04:41.041156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T15:04:40.566075Z digest=sha256:d5a919f4140205d791bf109dba941d2ebcd81b84ac1e65b2021b290876934349

Observation 4979d00d-671c-4441-a9e2-846120925c06 · outbound

This paper cites Hyperboloidal approach for linear and non-linear wave equations in FLRW spacetimes.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Hyperboloidal approach for linear and non-linear wave equations in FLRW spacetimes

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:04:40.662663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T15:04:40.570126Z digest=sha256:5495a64dbcf6866bb8559604d5be52fb731b75261242c38e93a26cb7a77ebd58

Observation 8353a6d4-faad-42ee-9f20-eb676905caa0 · outbound

This paper cites 3, 515–600.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 3, 515–600

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:04:41.027655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation f77264d0-04a9-4ff3-8b04-d926180d3625 · outbound

This paper cites 3, 633–715.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 3, 633–715

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:04:41.012745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T15:04:40.579598Z digest=sha256:0f586a3413405c3bf86d7e18b873242429d7a647677a9e0bba7cf93073b2937b

Observation 6a420b01-1a60-47ca-b51a-be62631c81bc · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:04:40.995878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 5f381c05-6a51-4150-afc2-543515fcb69c · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:04:40.980751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T15:04:40.590037Z digest=sha256:a41b4334e821885eafa294b082190edb670a97b1fabdd7c9b03f227e8e22be39

Observation 19478a6f-f30e-4998-a9c0-9a59c74d979e · outbound

This paper cites an unresolved cited work.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:04:40.967012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T15:04:40.594961Z digest=sha256:dbb38fd8d9cf349a51dc03135bdf11e1b8c8df9d42300cb2aa455d4402bbdea2

Observation ebbf98eb-2407-4201-8b0c-dc158ef4c205 · outbound

This paper cites 1, 57 –65.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 1, 57 –65

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:04:40.953254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T15:04:40.600381Z digest=sha256:46dd0fd24538759790747ae62cb00b7e3e3c204632d9cbacd747f7e7d439bbe0

Observation 27273e06-2c57-4b83-adf8-efdf34683cb8 · outbound

This paper cites 1, 101–124.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes 1, 101–124

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:04:40.939341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T15:04:40.605916Z digest=sha256:1f39d69f2ceb18df28e33bf6635ddd494b75d68db482dd1572eb35590312e063

Pith citing papers

Observation da282f75-710f-42bc-9085-b4ff30860be0 · inbound

Future global stability of Maxwell-J\"uttner equilibria and vacuum for the massless Boltzmann equation on FLRW spacetimes cites this paper.

Future global stability of Maxwell-J\"uttner equilibria and vacuum for the massless Boltzmann equation on FLRW spacetimes Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes

Reference 41

Resolution
verified exact
arxiv_id, observed 2026-07-01T20:16:11.104933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-06-28T21:31:03.692854Z digest=sha256:46360e51ad442848a92455529fb9c9f2fce18265f7f3fb3aee7a5ea1680de9b8