Paper Citation Record · LEDGER

Testing the Dark Universe through the Layzer-Irvine Equation

As of 5 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 1 inbound Pith citation observation for arXiv:2508.17064.

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

pith.paper-citation-record.v1
2508.17064 v2

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T15:38:00.037953Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-18T15:41:33.853768Z

Reference resolution

50 of 50 outbound references displayed

verified exact44
verified fuzzy2
unresolved2
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2ac18e33-6cbf-4380-8ea8-3f34f73ec921 · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 1

Resolution: malformed identifier; doi_truncated, observed 2026-05-18T21:36:51.758125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f8d40ea4-954c-4e77-8ebf-f674ae9d3fb1 · outbound

This paper cites Capozziello and M.

Testing the Dark Universe through the Layzer-Irvine Equation Capozziello and M

Reference 2

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.754325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9f0abf09-b2e8-4bb6-bbef-f2c4108b54e8 · outbound

This paper cites De Felice, S.

Testing the Dark Universe through the Layzer-Irvine Equation De Felice, S

Reference 3

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.765980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b99dc62e-68fe-42bc-b3fe-4e1673a6e986 · outbound

This paper cites Sotiriou, V.

Testing the Dark Universe through the Layzer-Irvine Equation Sotiriou, V

Reference 4

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.822822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5fe801cc-8f4e-4884-afad-50558012ab1d · outbound

This paper cites Bertolami, C.

Testing the Dark Universe through the Layzer-Irvine Equation Bertolami, C

Reference 5

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.732505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 8691800c-7798-4bfd-b4d3-fafde1c41050 · outbound

This paper cites Beltr´ an Jim´ enez, L.

Testing the Dark Universe through the Layzer-Irvine Equation Beltr´ an Jim´ enez, L

Reference 6

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.873062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9b827acc-d32d-45f0-a1b0-d8356360f680 · outbound

This paper cites Gomes and O.

Testing the Dark Universe through the Layzer-Irvine Equation Gomes and O

Reference 7

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.720902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 3b0c223f-cecc-4593-9658-610bed058b35 · outbound

This paper cites Harko, T.

Testing the Dark Universe through the Layzer-Irvine Equation Harko, T

Reference 8

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.698847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation cba73332-9b03-49c1-842a-df155d11aad1 · outbound

This paper cites Tamanini, C.

Testing the Dark Universe through the Layzer-Irvine Equation Tamanini, C

Reference 9

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.853625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 4a6d199e-6972-4809-ac3e-dfedf966471b · outbound

This paper cites Int J Theor Phys 10, 363 (1974).https://doi.org/10.1007/BF01807638.

Testing the Dark Universe through the Layzer-Irvine Equation Int J Theor Phys 10, 363 (1974).https://doi.org/10.1007/BF01807638

Reference 10

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.690907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation dfc03f69-475e-41c6-96dc-6e9be59c47d8 · outbound

This paper cites Langlois, International Journal of Modern Physics D 28, 1942006 (2019).

Testing the Dark Universe through the Layzer-Irvine Equation Langlois, International Journal of Modern Physics D 28, 1942006 (2019)

Reference 11

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.780648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 00129413-8e1f-4388-a4c5-8d02dc1ae431 · outbound

This paper cites C., Bertolami, O., & Sen, A.

Testing the Dark Universe through the Layzer-Irvine Equation C., Bertolami, O., & Sen, A

Reference 12

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.793132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 865da932-edcd-45e9-8159-253da9916c91 · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 13

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.702204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 0dbf23f8-a85c-4d82-97ef-8bbec65a1168 · outbound

This paper cites Triple unification of inflation, dark matter, and dark energy using a single field.

Testing the Dark Universe through the Layzer-Irvine Equation Triple unification of inflation, dark matter, and dark energy using a single field

Reference 14

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.761828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 0ac0f43d-9e29-4265-9d89-4575a3431d5a · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.769556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation be094aa3-7a0e-448f-907e-c362248d6328 · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.773032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 286a80b5-1a23-40cc-a9be-901d00bd8a7d · outbound

This paper cites Aljaf, D.

Testing the Dark Universe through the Layzer-Irvine Equation Aljaf, D

Reference 17

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.728396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation e7552c3f-003b-4a5b-b874-6d9b6832ddd0 · outbound

This paper cites Zwicky, Helv.

Testing the Dark Universe through the Layzer-Irvine Equation Zwicky, Helv

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T21:42:51.767959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f4856fd1-85e8-46ae-988f-f7577744d6e4 · outbound

This paper cites Binney, and S.

Testing the Dark Universe through the Layzer-Irvine Equation Binney, and S

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T21:42:51.761124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d0f3627f-4368-4a03-8e8b-7450c3f802a9 · outbound

This paper cites Layzer, A Preface to Cosmogony.

Testing the Dark Universe through the Layzer-Irvine Equation Layzer, A Preface to Cosmogony

Reference 20

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.849725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a2336fa5-a9c6-48bd-a84b-66e75ab4e667 · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-18T21:42:51.757984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c5259526-0025-4f36-8905-60c835805dbb · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.746268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f22627a0-08eb-4c14-b4e6-b976f65dafdd · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-18T21:42:51.764735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation aed175da-d197-4884-9c48-4fe246e79b12 · outbound

This paper cites Bertolami, F.

Testing the Dark Universe through the Layzer-Irvine Equation Bertolami, F

Reference 24

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.839404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b7e6a7f0-cf18-42b8-8711-970a1275a7d4 · outbound

This paper cites The imprint of the in- teraction between dark sectors in galaxy clusters.

Testing the Dark Universe through the Layzer-Irvine Equation The imprint of the in- teraction between dark sectors in galaxy clusters

Reference 25

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.865896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 3f7786fc-b8b7-4ca0-b62a-7a6ff2668826 · outbound

This paper cites Grigoris and I.

Testing the Dark Universe through the Layzer-Irvine Equation Grigoris and I

Reference 26

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.743200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 38be1e7d-8e31-4b36-ba58-ed01b86b8ff4 · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 27

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.814647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2b53ce38-68ff-4588-96bf-3dd8c241c227 · outbound

This paper cites Shtanov and V.

Testing the Dark Universe through the Layzer-Irvine Equation Shtanov and V

Reference 28

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.806542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c6a71d10-aa83-42be-8cbd-64dfe28d9e55 · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 29

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.735897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 79a37369-2a6a-40dd-91f2-1d7bd55a5d13 · outbound

This paper cites Bertolami and C.

Testing the Dark Universe through the Layzer-Irvine Equation Bertolami and C

Reference 30

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.686829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 768ba17a-8900-4c85-bd03-480ddeb0705b · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 31

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.818610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation cfc0a8f3-8b05-4d40-9ff1-aa0aa6ef0ace · outbound

This paper cites Joyce and F.

Testing the Dark Universe through the Layzer-Irvine Equation Joyce and F

Reference 32

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.861686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 6bdb3ad6-e6da-4ed6-9b90-a651f21bacd5 · outbound

This paper cites Self-similarity and stable clustering in a family of scale-free cosmologies.

Testing the Dark Universe through the Layzer-Irvine Equation Self-similarity and stable clustering in a family of scale-free cosmologies

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-05-18T21:36:51.845420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation be464cb5-44f5-4d10-8c05-836c28424c23 · outbound

This paper cites List and O.

Testing the Dark Universe through the Layzer-Irvine Equation List and O

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-18T21:36:51.787166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9f8d0de1-706c-483e-9c06-3d3cdc27ff3c · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 35

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.810732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation ab992efe-d7b2-4ee4-82cd-d7da4c7d6e99 · outbound

This paper cites Signature of the interaction between dark energy and dark matter in galaxy clusters.

Testing the Dark Universe through the Layzer-Irvine Equation Signature of the interaction between dark energy and dark matter in galaxy clusters

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-05-18T21:36:51.828655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d7a7b4b0-2660-4005-9b20-ab32633c607b · outbound

This paper cites Signature of the interaction between dark energy and dark matter in observations.

Testing the Dark Universe through the Layzer-Irvine Equation Signature of the interaction between dark energy and dark matter in observations

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-05-18T21:36:51.835362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9118e161-14d6-4e71-bc77-ba91ba5b6e0d · outbound

This paper cites On the dynamics of perfect fluids in non-minimally coupled gravity.

Testing the Dark Universe through the Layzer-Irvine Equation On the dynamics of perfect fluids in non-minimally coupled gravity

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-05-18T21:36:51.667298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 3e6e6547-49f2-4148-8891-014435718565 · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 39

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.802094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d948219c-a88f-4110-8950-4882bdc3676b · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 40

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.797743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 8ead152d-2b51-4517-8ed4-7f066ebe5ccc · outbound

This paper cites Bertolami and C.

Testing the Dark Universe through the Layzer-Irvine Equation Bertolami and C

Reference 41

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.869260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d041111c-16ba-4be6-bbfb-b2c2add33ace · outbound

This paper cites Gomes, Eur.

Testing the Dark Universe through the Layzer-Irvine Equation Gomes, Eur

Reference 42

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.724650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 3e2f6086-7ada-48ea-bc26-b3af460de05e · outbound

This paper cites March, O.

Testing the Dark Universe through the Layzer-Irvine Equation March, O

Reference 43

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.673279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation ee3dc326-f5a6-4abf-8b14-b1d042c52c8e · outbound

This paper cites Gomes and K.

Testing the Dark Universe through the Layzer-Irvine Equation Gomes and K

Reference 44

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.677691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a21577d6-f2f3-4011-98f4-a8564f82b755 · outbound

This paper cites Wang and C.

Testing the Dark Universe through the Layzer-Irvine Equation Wang and C

Reference 45

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.776399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 0056aeff-57a1-4214-844d-2611dcd16ff9 · outbound

This paper cites Bertolami, F.

Testing the Dark Universe through the Layzer-Irvine Equation Bertolami, F

Reference 46

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.739350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a8e59d3f-ced1-4899-94cb-c9507ff60000 · outbound

This paper cites Bertolami, F.

Testing the Dark Universe through the Layzer-Irvine Equation Bertolami, F

Reference 47

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.857718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 8979c64d-bdfc-41d1-87cf-bd6a99ae9777 · outbound

This paper cites Understanding gravitationally induced decoherence parameters in neu- trino oscillations using a microscopic quantum mechan- ical model.

Testing the Dark Universe through the Layzer-Irvine Equation Understanding gravitationally induced decoherence parameters in neu- trino oscillations using a microscopic quantum mechan- ical model

Reference 48

Resolution: malformed identifier; doi_truncated, observed 2026-05-18T21:36:51.682423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 104c95cb-3379-46a9-a412-22f542556d56 · outbound

This paper cites an unresolved cited work.

Testing the Dark Universe through the Layzer-Irvine Equation Unresolved cited work

Reference 49

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.749918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5d8e0bbe-2bc5-4c26-928c-f4a06ae60ef2 · outbound

This paper cites F., Frenk C.

Testing the Dark Universe through the Layzer-Irvine Equation F., Frenk C

Reference 50

Resolution: verified exact; doi, observed 2026-05-18T21:36:51.695010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

Observation e671941c-40f3-4dc5-8da4-b319c812e1b5 · inbound

On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity cites this paper.

On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity Testing the Dark Universe through the Layzer-Irvine Equation

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-05-18T15:41:33.856345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.