{"as_of":"2026-08-09T01:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ecadfcf866125e787033b78f320db7966488e98b0050ba41b2fed39022460334","coverage":[{"denominator":87,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":87,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:55:21.546299Z","state":"measured"},{"denominator":89,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":89,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:55:13.157865Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.04571","snapshot_observed_at":"2026-08-06T19:55:13.157865Z","title":"The standard description of dark energy consists of the cosmological constant description, and specifically the Λ-Cold-Dark-Matter (ΛCDM) model has several successes to date","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:13.157865Z"},"links":{"cited_paper":"/paper/2507.04571","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:771a6e095e9233c630c93dc28e756b7b4f5a7c2e8c586ba9864c4cd092ab9fbc","observation_id":"5b614773-f717-4be5-85b0-112ef99ee4aa","resolution":{"observed_at":"2026-08-06T19:55:13.157865Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.04571","snapshot_observed_at":"2026-08-03T20:35:55.313674Z","title":"Odintsov and V.K","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.19610","last_updated":"2025-12-01T15:35:41Z","snapshot_observed_at":"2026-08-03T20:35:49.631218Z","submitted_at":"2025-11-24T19:00:04Z","title":"Fibre Inflation Meets Quintessence: Implications of Perturbative Stabilisation","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-03T20:35:55.313674Z"},"links":{"cited_paper":"/paper/2507.04571","citing_paper":"/paper/2511.19610"},"observation_digest":"sha256:9f745ce027a6705088c57cfb77727fb768e0fb579213c0f9e7c2acdb5e0f079e","observation_id":"c2b4286a-4e40-493a-bbe8-2edad236a4e7","resolution":{"observed_at":"2026-08-03T20:35:55.313674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2507.04571/citation-record","integrity":"/paper/2507.04571/integrity","json":"/paper/2507.04571/citation-record.json","paper":"/paper/2507.04571"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:12.948684Z","title":"Can Magrans s/n, 08193 Barcelona, Spain","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:12.948684Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:b07c1ebe52ffce0a0edffe097307791dee01abcfe1902b27e9a568b2176915d5","observation_id":"2c7b0b50-5093-46d9-b4f3-0f143d98ab81","resolution":{"observed_at":"2026-08-06T19:55:12.948684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:13.051704Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:13.051704Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:4e1e95a854c844ada5e44960c7a62d2502170c114e2bb1f5da37a692398b0b81","observation_id":"b73a7a9e-aa28-4026-8f04-381baf4977f8","resolution":{"observed_at":"2026-08-06T19:55:13.051704Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1508.06635","last_updated":"2016-11-02T08:48:48Z","snapshot_observed_at":"2026-08-07T12:30:42.730622Z","submitted_at":"2015-08-26T20:07:45Z","title":"Dark Matter and Global Symmetries","version":2},"cited_work":{"arxiv_id":"1508.06635","doi":null,"metadata_source":"pith","pith_arxiv_id":"1508.06635","snapshot_observed_at":"2026-08-06T19:55:23.455711Z","title":"Dark Matter and Global Symmetries","venue":"hep-ph","work_id":"544a1f65-4fe9-4219-a4cf-82a6d70f5b60","year":2015},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:13.392429Z"},"links":{"cited_paper":"/paper/1508.06635","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:11ae20a4f7d08a2b8b8b99e1f0212f3318e845b0d2584b8f8ccba11279afa0e5","observation_id":"8d2e054a-aadc-46d8-afdc-3f2484fc67d1","resolution":{"observed_at":"2026-08-06T19:55:23.458163Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0404175","last_updated":"2004-08-13T15:46:27Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2004-04-21T13:12:59Z","title":"Particle Dark Matter: Evidence, Candidates and Constraints","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0404175","snapshot_observed_at":"2026-08-06T19:55:13.241804Z","title":"Bertone, D","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:13.241804Z"},"links":{"cited_paper":"/paper/hep-ph/0404175","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:bec67c3919b0c4207f81bf711e0b3c4cd76e4fe9437b9c2e6b2c89385b9e64dc","observation_id":"6cbae9de-9e8e-4eae-be9a-3f66820b97ff","resolution":{"observed_at":"2026-08-06T19:55:13.241804Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0002126","last_updated":"2000-02-11T09:07:14Z","snapshot_observed_at":"2026-08-05T23:30:58.435568Z","submitted_at":"2000-02-11T09:07:14Z","title":"Non-Baryonic Dark Matter - Observational Evidence and Detection Methods","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0002126","snapshot_observed_at":"2026-08-06T19:55:13.312304Z","title":"Bergstrom, Rept","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:13.312304Z"},"links":{"cited_paper":"/paper/hep-ph/0002126","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:48f9ba3d3fe13542843028e99945070c5f75254899e1db91bca5ba46ef83e658","observation_id":"f37f7eb1-549a-4e3b-8540-064e26c6f8fa","resolution":{"observed_at":"2026-08-06T19:55:13.312304Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0612293","last_updated":"2007-01-23T14:26:21Z","snapshot_observed_at":"2026-07-07T04:13:21.409839Z","submitted_at":"2006-12-21T22:37:28Z","title":"Direct Detection of Dark Matter Rates for Various Wimps","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0612293","snapshot_observed_at":"2026-08-06T19:55:13.622582Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:13.622582Z"},"links":{"cited_paper":"/paper/hep-ph/0612293","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:a09937d4f592384af13a9778a4ae0c5ddffbe84bf4f0b86c5dfd3415f3c89a3d","observation_id":"619c921d-e15f-46a5-90c6-3885ebe9518f","resolution":{"observed_at":"2026-08-06T19:55:13.622582Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1301.0952","last_updated":"2013-01-05T22:48:03Z","snapshot_observed_at":"2026-08-03T17:48:03.569498Z","submitted_at":"2013-01-05T22:48:03Z","title":"TASI 2012 Lectures on Astrophysical Probes of Dark Matter","version":1},"cited_work":{"arxiv_id":"1301.0952","doi":null,"metadata_source":"pith","pith_arxiv_id":"1301.0952","snapshot_observed_at":"2026-08-06T19:55:23.447412Z","title":"TASI 2012 Lectures on Astrophysical Probes of Dark Matter","venue":"hep-ph","work_id":"29878cd0-231d-4593-898b-2e104789a23d","year":2013},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:13.487681Z"},"links":{"cited_paper":"/paper/1301.0952","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:cdd5e3d2cc6782145c49181b48d1f5f6b5623f502e0ca9d54039d01e4727da71","observation_id":"8dbc3536-9121-4e92-bb8f-06648c70434d","resolution":{"observed_at":"2026-08-06T19:55:23.449829Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0701197","last_updated":"2007-08-23T23:46:36Z","snapshot_observed_at":"2026-07-07T04:13:36.473155Z","submitted_at":"2007-01-23T21:36:40Z","title":"Dark Matter and Collider Phenomenology of Universal Extra Dimensions","version":2},"cited_work":{"arxiv_id":"hep-ph/0701197","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/0701197","snapshot_observed_at":"2026-08-06T19:55:23.438872Z","title":"Dark Matter and Collider Phenomenology of Universal Extra Dimensions","venue":"hep-ph","work_id":"12adabc0-55a7-4493-8953-8b849c9ec527","year":2007},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:13.564860Z"},"links":{"cited_paper":"/paper/hep-ph/0701197","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:ddd0e385ff2082f45e9ed72b31baf1097a3e0635117f8f9a30ce5e81b4658328","observation_id":"1dde1b9f-be44-4dad-99b1-7ea20e944770","resolution":{"observed_at":"2026-08-06T19:55:23.441295Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1307.0615","last_updated":"2013-10-21T19:36:14Z","snapshot_observed_at":"2026-07-06T03:17:13.237884Z","submitted_at":"2013-07-02T08:15:56Z","title":"Axion hot dark matter bounds after Planck","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1307.0615","snapshot_observed_at":"2026-08-06T19:55:13.913175Z","title":"Archidiacono, S","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:13.913175Z"},"links":{"cited_paper":"/paper/1307.0615","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:871fc94120dfd21352738de3182abb818106498ec490c71b879665bc9e67a306","observation_id":"0a566871-249b-4093-898c-5e29eb538395","resolution":{"observed_at":"2026-08-06T19:55:13.913175Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.04571","snapshot_observed_at":"2026-08-06T19:55:13.157865Z","title":"The standard description of dark energy consists of the cosmological constant description, and specifically the Λ-Cold-Dark-Matter (ΛCDM) model has several successes to date","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:13.157865Z"},"links":{"cited_paper":"/paper/2507.04571","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:771a6e095e9233c630c93dc28e756b7b4f5a7c2e8c586ba9864c4cd092ab9fbc","observation_id":"5b614773-f717-4be5-85b0-112ef99ee4aa","resolution":{"observed_at":"2026-08-06T19:55:13.157865Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.13728","last_updated":"2024-03-12T17:38:28Z","snapshot_observed_at":"2026-08-03T18:36:38.003151Z","submitted_at":"2024-01-24T19:00:00Z","title":"Astrophysical Axion Bounds: The 2024 Edition","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.13728","snapshot_observed_at":"2026-08-06T19:55:13.726141Z","title":"Caputo and G","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:13.726141Z"},"links":{"cited_paper":"/paper/2401.13728","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:8a9e32e37362edc475d18105b60725e6d01a0ebd29b65da12ace70af74e4055e","observation_id":"a3aa1404-9345-47c6-b7c4-21997915140f","resolution":{"observed_at":"2026-08-06T19:55:13.726141Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:13.802706Z","title":"Kuster, G","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:13.802706Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:b901a9cfadb9caf5258553dfcbf1b840ed671d423287584615cd5406a53f2058","observation_id":"5cae4324-de15-404a-a093-13582efdd55b","resolution":{"observed_at":"2026-08-06T19:55:13.802706Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9805201","last_updated":"1998-05-15T03:59:02Z","snapshot_observed_at":"2026-08-04T06:34:53.046342Z","submitted_at":"1998-05-15T03:59:02Z","title":"Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9805201","snapshot_observed_at":"2026-08-06T19:55:13.999252Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:13.999252Z"},"links":{"cited_paper":"/paper/astro-ph/9805201","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:e32a1f232a5d0618a1a95ce97c61efe7fbb8bdaae92f5a68740de6b982d98813","observation_id":"4ec0f4fb-8a7b-40a2-94bb-9a977009b1af","resolution":{"observed_at":"2026-08-06T19:55:13.999252Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.03002","last_updated":"2024-11-04T16:43:36Z","snapshot_observed_at":"2026-07-06T17:55:21.083912Z","submitted_at":"2024-04-03T18:41:51Z","title":"DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.03002","snapshot_observed_at":"2026-08-06T19:55:14.069942Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:14.069942Z"},"links":{"cited_paper":"/paper/2404.03002","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:ac5dc86c9a3e9076cc2ee22b48697e2bb2bbde4fef812579156bb365800eaaff","observation_id":"4fcda27b-9ec3-4422-8a43-832cc6745352","resolution":{"observed_at":"2026-08-06T19:55:14.069942Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0307288","last_updated":"2003-09-19T07:45:56Z","snapshot_observed_at":"2026-07-07T04:47:52.261544Z","submitted_at":"2003-07-30T10:18:28Z","title":"Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0307288","snapshot_observed_at":"2026-08-06T19:55:14.146029Z","title":"Nojiri and S","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:14.146029Z"},"links":{"cited_paper":"/paper/hep-th/0307288","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:d8c8c81bc65bb60c664aafd7ba0ba8e3376733c3bf010029f1d3dcb9b3bd1511","observation_id":"2d9d4bb3-2644-40a9-9098-b38d9cb80b89","resolution":{"observed_at":"2026-08-06T19:55:14.146029Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0707.1941","last_updated":"2007-10-14T09:49:45Z","snapshot_observed_at":"2026-07-06T01:31:43.670502Z","submitted_at":"2007-07-13T08:45:51Z","title":"Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0707.1941","snapshot_observed_at":"2026-08-06T19:55:14.236277Z","title":"Nojiri and S","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:14.236277Z"},"links":{"cited_paper":"/paper/0707.1941","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:684bfdcc4deab3ec643120091563faa668206ee75f9239a26f4a8f3a4a78d7fb","observation_id":"3880b386-8cc1-48fb-912c-157ff1a324ba","resolution":{"observed_at":"2026-08-06T19:55:14.236277Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0710.1738","last_updated":"2007-12-18T13:48:12Z","snapshot_observed_at":"2026-07-06T01:31:37.791889Z","submitted_at":"2007-10-09T11:39:27Z","title":"Modified f(R) gravity unifying R^m inflation with \\LambdaCDM epoch","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0710.1738","snapshot_observed_at":"2026-08-06T19:55:14.347790Z","title":"Nojiri and S","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:14.347790Z"},"links":{"cited_paper":"/paper/0710.1738","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:85c4a666c86345e9927713979d3f448b70b5409a5611384a5d239edad8d1f7a7","observation_id":"425fa988-288b-457f-81c5-baf3a0bff673","resolution":{"observed_at":"2026-08-06T19:55:14.347790Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0712.4017","last_updated":"2008-01-30T10:56:31Z","snapshot_observed_at":"2026-08-02T00:09:51.356443Z","submitted_at":"2007-12-24T18:06:55Z","title":"Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0712.4017","snapshot_observed_at":"2026-08-06T19:55:14.460883Z","title":"Cognola, E","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:14.460883Z"},"links":{"cited_paper":"/paper/0712.4017","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:a2c6a5187e7f7af91e90990b202718d016d7bc5be428ba319ef86441cb794ad8","observation_id":"01a926fa-fedb-4537-8510-a9b8f4459e26","resolution":{"observed_at":"2026-08-06T19:55:14.460883Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0608008","last_updated":"2006-10-03T09:16:26Z","snapshot_observed_at":"2026-07-07T04:58:09.930849Z","submitted_at":"2006-08-01T14:42:30Z","title":"Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0608008","snapshot_observed_at":"2026-08-06T19:55:14.543331Z","title":"Nojiri and S","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:14.543331Z"},"links":{"cited_paper":"/paper/hep-th/0608008","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:2901b73225812e9671825b0b0c3e4f80538340d6e1dbd045fd08751fa53f4c54","observation_id":"b3a486fa-b8f0-4676-b045-88d0d3ea1fc1","resolution":{"observed_at":"2026-08-06T19:55:14.543331Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0705.3199","last_updated":"2007-06-04T13:21:10Z","snapshot_observed_at":"2026-07-06T01:27:35.546472Z","submitted_at":"2007-05-22T15:32:59Z","title":"Do consistent $F(R)$ models mimic General Relativity plus $\\Lambda$?","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0705.3199","snapshot_observed_at":"2026-08-06T19:55:14.664664Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:14.664664Z"},"links":{"cited_paper":"/paper/0705.3199","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:b92a4b456d16ce0f286e21b79f0134c09e02a5843777f8627ba52d816cbcfcf4","observation_id":"f13d31f1-60b1-4bbf-a331-4dff21b40939","resolution":{"observed_at":"2026-08-06T19:55:14.664664Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1012.2280","last_updated":"2011-03-24T12:39:07Z","snapshot_observed_at":"2026-08-02T01:10:25.613168Z","submitted_at":"2010-12-10T14:32:45Z","title":"Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1012.2280","snapshot_observed_at":"2026-08-06T19:55:14.738297Z","title":"Elizalde, S","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:14.738297Z"},"links":{"cited_paper":"/paper/1012.2280","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:4bf92e470db70e567123bd34416a4c7a9fbe416d5ae466cb244ab598b4172d13","observation_id":"d4e8c929-f0be-45e4-9699-4bbe45082f91","resolution":{"observed_at":"2026-08-06T19:55:14.738297Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2001.06830","last_updated":"2020-01-19T13:59:51Z","snapshot_observed_at":"2026-08-07T10:25:14.963175Z","submitted_at":"2020-01-19T13:59:51Z","title":"Geometric Inflation and Dark Energy with Axion $F(R)$ Gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.06830","snapshot_observed_at":"2026-08-06T19:55:14.812405Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:14.812405Z"},"links":{"cited_paper":"/paper/2001.06830","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:1ac44ec84fb3fbc95b579151bc7e78b987949e0dea930128b52210dfd99a6d56","observation_id":"c4de69c4-b547-4235-8fcd-ef92baf865fe","resolution":{"observed_at":"2026-08-06T19:55:14.812405Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.07109","last_updated":"2020-11-23T11:42:29Z","snapshot_observed_at":"2026-07-06T09:38:08.796339Z","submitted_at":"2020-07-14T15:28:30Z","title":"Triple unification of inflation, dark energy, and dark matter in two-scalar-field cosmology","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.07109","snapshot_observed_at":"2026-08-06T19:55:14.922234Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:14.922234Z"},"links":{"cited_paper":"/paper/2007.07109","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:d0804345d54465100a24ac8cbf23e095ecd3729aad5c252ba8404df697031f76","observation_id":"c68dbb2a-a9d2-445a-bc52-aa10450f28e7","resolution":{"observed_at":"2026-08-06T19:55:14.922234Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0909.1737","last_updated":"2011-04-14T16:57:18Z","snapshot_observed_at":"2026-08-01T14:14:49.157526Z","submitted_at":"2009-09-09T16:40:32Z","title":"Curing singularities in cosmological evolution of F(R) gravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0909.1737","snapshot_observed_at":"2026-08-06T19:55:14.995461Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:14.995461Z"},"links":{"cited_paper":"/paper/0909.1737","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:d8332bb91ce911d43f42cdafc527cad38c3bae5274c58bf494dbe47a585ac67c","observation_id":"8269d5f0-cc43-451b-b92f-51df86b1fa80","resolution":{"observed_at":"2026-08-06T19:55:14.995461Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1705.11098","last_updated":"2021-05-23T13:57:25Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2017-05-31T13:41:52Z","title":"Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1705.11098","snapshot_observed_at":"2026-08-06T19:55:15.129439Z","title":"Nojiri, S","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:15.129439Z"},"links":{"cited_paper":"/paper/1705.11098","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:4f9d8308bcf25f45605c4d2cec102d16d44f8f6365d072d3c1a2242aa9a0be48","observation_id":"47b389fb-1356-4c7d-bb74-96d4120cde0c","resolution":{"observed_at":"2026-08-06T19:55:15.129439Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:15.271878Z","title":"Capozziello, M","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:15.271878Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:b3e21e1a0c7f0adfb93a094f08be3d07095e436077bd8555f0e7db8e20e56153","observation_id":"76b3d55b-c406-4c80-b198-b27de6d46afc","resolution":{"observed_at":"2026-08-06T19:55:15.271878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:15.341809Z","title":"Nojiri, S.D","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:15.341809Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:d8f136c5b794b1887351506a4c9acc81780860fe5aa698a3093e0058d2ace6e6","observation_id":"1bc1ca3c-19ff-44d7-acdd-eabc5bc026d2","resolution":{"observed_at":"2026-08-06T19:55:15.341809Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:15.422436Z","title":"Nojiri, S.D","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:15.422436Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:a697b3976470a72db2d3df248077d8af1eb6c49b6ad23d1c6ba9796a09a7e85f","observation_id":"93afc289-25d7-402f-aa88-21fc8e4d555b","resolution":{"observed_at":"2026-08-06T19:55:15.422436Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.16308","last_updated":"2023-07-30T19:58:19Z","snapshot_observed_at":"2026-08-08T20:35:50.425431Z","submitted_at":"2023-07-30T19:58:19Z","title":"Recent Advances on Inflation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.16308","snapshot_observed_at":"2026-08-06T19:55:15.528915Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:15.528915Z"},"links":{"cited_paper":"/paper/2307.16308","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:2159dce21391a925f2ac5ddc346039a79c94326381b5a40933631c82c53a27a5","observation_id":"cecf91c4-d0fb-470c-8cd1-995800598bfb","resolution":{"observed_at":"2026-08-06T19:55:15.528915Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.02773","last_updated":"2023-03-27T05:15:34Z","snapshot_observed_at":"2026-08-03T11:16:50.074816Z","submitted_at":"2022-02-06T13:17:44Z","title":"Probing Cosmic Inflation with the LiteBIRD Cosmic Microwave Background Polarization Survey","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.02773","snapshot_observed_at":"2026-08-06T19:55:15.605914Z","title":"Allys et al","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:15.605914Z"},"links":{"cited_paper":"/paper/2202.02773","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:d3ec86dfc9d148d3e7b0722dfff1c35c11c3d52c2af21a29678a0ff50662e36f","observation_id":"275102be-afc8-4676-93ea-5d8c45f5a06c","resolution":{"observed_at":"2026-08-06T19:55:15.605914Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.06209","last_updated":"2021-08-09T10:43:18Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2018-07-17T04:05:07Z","title":"Planck 2018 results. VI. Cosmological parameters","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.06209","snapshot_observed_at":"2026-08-06T19:55:15.689989Z","title":"Aghanim et al","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:15.689989Z"},"links":{"cited_paper":"/paper/1807.06209","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:dad1c0bdc3f72e19c66e03dc43d8a9abd5582a39c0a575745217057d41b88423","observation_id":"4469b42d-95c4-4438-b2eb-1d8da2436c74","resolution":{"observed_at":"2026-08-06T19:55:15.689989Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:15.770087Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:15.770087Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:8de5cc739172c2d31cebb41adc364d414911c81782d5bf707bb78af0b40713b6","observation_id":"d6c4d977-63e0-4185-b1a0-423f8b559790","resolution":{"observed_at":"2026-08-06T19:55:15.770087Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0370-2693(88)90007-x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:22.179440Z","title":"Muller, H","venue":null,"work_id":"83783603-c50c-474e-8778-a3bea07ff847","year":1988},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:15.898359Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:5f90da51acca512c6d9a68ecaabafb338f94cfa0bf64c1d5b0d146ee6d89d018","observation_id":"052aefd4-6c13-4646-89e9-2ad741791bc9","resolution":{"observed_at":"2026-08-06T19:55:22.312148Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0412126","last_updated":"2004-12-30T03:26:37Z","snapshot_observed_at":"2026-07-07T03:20:28.677637Z","submitted_at":"2004-12-30T03:26:37Z","title":"Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0412126","snapshot_observed_at":"2026-08-06T19:55:16.045543Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:16.045543Z"},"links":{"cited_paper":"/paper/gr-qc/0412126","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:83e49cd143db689ed33a72edf1eace72d0ee1b96419a4259065e6308f8feb804","observation_id":"69171dbc-0438-4d49-aa14-fce702c6fcfb","resolution":{"observed_at":"2026-08-06T19:55:16.045543Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2020.13557","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:23.243546Z","title":null,"venue":null,"work_id":"08934623-0a70-4da4-b318-175b06b04404","year":2020},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:16.182538Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:da5fc388b58cf90a796200dc9ed1dcb587f298e2c78ec1cd4f159e7c1111acc6","observation_id":"0908ff80-2414-4714-8832-cd83976a9135","resolution":{"observed_at":"2026-08-06T19:55:23.246497Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0705.1158","last_updated":"2007-05-08T23:45:59Z","snapshot_observed_at":"2026-08-02T07:22:53.860732Z","submitted_at":"2007-05-08T23:45:59Z","title":"Models of f(R) Cosmic Acceleration that Evade Solar-System Tests","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0705.1158","snapshot_observed_at":"2026-08-06T19:55:16.327892Z","title":"Hu and I","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:16.327892Z"},"links":{"cited_paper":"/paper/0705.1158","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:2bf56abd04a2ad6f3202f65f9ac8cf1b73a7912e37acf775f10954ddbd53c968","observation_id":"576a3623-f2e4-46f6-8350-102ff496b38b","resolution":{"observed_at":"2026-08-06T19:55:16.327892Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1207.1009","last_updated":"2012-11-13T04:45:01Z","snapshot_observed_at":"2026-07-06T02:51:14.232244Z","submitted_at":"2012-07-03T12:04:26Z","title":"Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1207.1009","snapshot_observed_at":"2026-08-06T19:55:16.475130Z","title":"Bamba, A","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:16.475130Z"},"links":{"cited_paper":"/paper/1207.1009","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:001145800fe277ffdaad1f4969ccbb8a159f964e1a187aa89e34d2998cfa69ad","observation_id":"db546835-a40f-4101-858c-c835c3f0baf2","resolution":{"observed_at":"2026-08-06T19:55:16.475130Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:16.612005Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:16.612005Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:9ee43cb9fd6f26ccf443628ac69a463b8e797d784c489511a60e72dc8a4d4f61","observation_id":"d6f77998-2107-4c7c-a5ed-b390bd8ea990","resolution":{"observed_at":"2026-08-06T19:55:16.612005Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1312.5742","last_updated":"2014-05-01T19:58:17Z","snapshot_observed_at":"2026-07-06T03:31:25.726310Z","submitted_at":"2013-12-19T20:59:47Z","title":"Effective Field Theory of Cosmic Acceleration: an implementation in CAMB","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1312.5742","snapshot_observed_at":"2026-08-06T19:55:16.708216Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:16.708216Z"},"links":{"cited_paper":"/paper/1312.5742","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:232d8e33bd87b3d409c826bbb760769bb094f5c9ef40bf293511fdc736d32345","observation_id":"f6670c70-d570-4fdd-b886-bb5bf9f34e3f","resolution":{"observed_at":"2026-08-06T19:55:16.708216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.14537","last_updated":"2025-01-15T16:53:07Z","snapshot_observed_at":"2026-08-05T20:28:39.792681Z","submitted_at":"2024-08-26T18:00:02Z","title":"Confronting Cold New Early Dark Energy and its Equation of State with Updated CMB, Supernovae, and BAO Data","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.14537","snapshot_observed_at":"2026-08-06T19:55:16.862944Z","title":"Chatrchyan, F","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:16.862944Z"},"links":{"cited_paper":"/paper/2408.14537","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:7be3cf5b557a4d95321a646a2ab77cd7adcd95b47e5bedae64f03cd04b0ce1cc","observation_id":"68ed7559-30bb-43fc-a9de-8fed9f97a078","resolution":{"observed_at":"2026-08-06T19:55:16.862944Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.06042","last_updated":"2015-10-20T20:12:45Z","snapshot_observed_at":"2026-07-06T04:33:44.933216Z","submitted_at":"2015-10-20T20:12:45Z","title":"The Quest for B Modes from Inflationary Gravitational Waves","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.06042","snapshot_observed_at":"2026-08-06T19:55:17.000158Z","title":"Kamionkowski and E","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:17.000158Z"},"links":{"cited_paper":"/paper/1510.06042","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:8ae7fb19c0f844abe928bb84e1ceb647bb080809556aa1cc9265b8455b8872b9","observation_id":"b4ee57fe-3e89-4653-8229-4726674d25d8","resolution":{"observed_at":"2026-08-06T19:55:17.000158Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"ph/9306029","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:23.134232Z","title":null,"venue":null,"work_id":"efb4b6ee-203b-4e69-ab52-f79bd4d6a5df","year":1993},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:17.206823Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:4beb53d02b79e53c46d3d93dcdd464c5ee63b9736f757fa407d3277b7fc8d03e","observation_id":"9bb0a4c2-fee6-489d-bfe4-9dab1353a75e","resolution":{"observed_at":"2026-08-06T19:55:23.139516Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"ph/0512014","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:23.048459Z","title":null,"venue":null,"work_id":"05ccada8-9771-4fee-b035-8d9c9e9771ca","year":2008},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:17.376828Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:c2018436e9fb9c00c3bf12e5512646eeb0e8ae0261bb592afa01e811f0d73027","observation_id":"252e16db-55f3-4edc-a434-62827c4cb88a","resolution":{"observed_at":"2026-08-06T19:55:23.051641Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0501329","last_updated":"2005-01-17T03:40:42Z","snapshot_observed_at":"2026-07-07T00:47:35.467298Z","submitted_at":"2005-01-17T03:40:42Z","title":"Relic Gravitational Waves in the Accelerating Universe","version":1},"cited_work":{"arxiv_id":"astro-ph/0501329","doi":null,"metadata_source":"pith","pith_arxiv_id":"astro-ph/0501329","snapshot_observed_at":"2026-08-06T19:55:22.982382Z","title":"Relic Gravitational Waves in the Accelerating Universe","venue":"astro-ph","work_id":"cdc7be6b-d5f7-490c-821b-55caa5757496","year":2005},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:17.505108Z"},"links":{"cited_paper":"/paper/astro-ph/0501329","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:2702c7cd4e2dd58c4d7ecaca1dc963db386f7059908d34aa1fb2baeee2f6e97c","observation_id":"2fd587de-3e64-4146-8a0e-bac4dbb23c56","resolution":{"observed_at":"2026-08-06T19:55:22.985017Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1801.04268","last_updated":"2020-07-22T11:15:28Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2018-01-12T18:57:34Z","title":"Cosmological Backgrounds of Gravitational Waves","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.04268","snapshot_observed_at":"2026-08-06T19:55:17.629182Z","title":"Caprini and D","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:17.629182Z"},"links":{"cited_paper":"/paper/1801.04268","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:7c5ef5fb2ee5b114b9d52432da692fcb14c506506d79f820cbb892a991668903","observation_id":"8b121074-5f7e-426e-afb1-f11d449f6e90","resolution":{"observed_at":"2026-08-06T19:55:17.629182Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.11396","last_updated":"2020-07-13T16:27:09Z","snapshot_observed_at":"2026-08-08T22:50:08.048042Z","submitted_at":"2020-04-23T18:00:08Z","title":"Constraints on primordial gravitational waves from the Cosmic Microwave Background","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.11396","snapshot_observed_at":"2026-08-06T19:55:17.740917Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:17.740917Z"},"links":{"cited_paper":"/paper/2004.11396","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:179d17b291b8c5202ed0fb1e24b567e9c838e3e771abf666e666c8622b687f3d","observation_id":"b388f880-4516-4cfe-ba38-864cb64ca751","resolution":{"observed_at":"2026-08-06T19:55:17.740917Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0506422","last_updated":"2006-03-01T23:10:56Z","snapshot_observed_at":"2026-07-07T00:51:24.821839Z","submitted_at":"2005-06-17T20:00:06Z","title":"Direct detection of the inflationary gravitational wave background","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0506422","snapshot_observed_at":"2026-08-06T19:55:17.859252Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:17.859252Z"},"links":{"cited_paper":"/paper/astro-ph/0506422","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:4334d369dd5b229950747983cef99795901dffe0f2fad65b7a12d20b0f7edb32","observation_id":"c20d4d20-4616-4c00-8ebc-4e35e40c2f2f","resolution":{"observed_at":"2026-08-06T19:55:17.859252Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.4317","last_updated":"2008-12-19T13:12:02Z","snapshot_observed_at":"2026-07-06T01:40:48.202385Z","submitted_at":"2008-07-27T17:59:56Z","title":"Thermal history of the plasma and high-frequency gravitons","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.4317","snapshot_observed_at":"2026-08-06T19:55:17.978813Z","title":"Giovannini, Class","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:17.978813Z"},"links":{"cited_paper":"/paper/0807.4317","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:7d8522225ddbc59453b106f89d2bab09a86304245d068279c7241b065c7bead4","observation_id":"88b0d8d3-1bde-4675-a1e9-d09b345f3809","resolution":{"observed_at":"2026-08-06T19:55:17.978813Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.03524","last_updated":"2015-12-23T00:47:25Z","snapshot_observed_at":"2026-07-06T04:29:36.646039Z","submitted_at":"2015-09-11T14:13:39Z","title":"Detecting Relic Gravitational Waves by Pulsar Timing Arrays: Effects of Cosmic Phase Transitions and Relativistic Free-Streaming Gases","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.03524","snapshot_observed_at":"2026-08-06T19:55:18.087541Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:18.087541Z"},"links":{"cited_paper":"/paper/1509.03524","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:c02867face295f1af56e846b980c8b6284f381489245f3c390c03dbaf1e7f4fa","observation_id":"54c6818a-a42e-4b23-98c1-3107cec09c21","resolution":{"observed_at":"2026-08-06T19:55:18.087541Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.11928","last_updated":"2023-06-08T20:50:47Z","snapshot_observed_at":"2026-07-06T15:06:15.576863Z","submitted_at":"2023-03-21T15:29:10Z","title":"Relic gravitons and high-frequency detectors","version":2},"cited_work":{"arxiv_id":"2303.11928","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.11928","snapshot_observed_at":"2026-08-06T19:55:22.932271Z","title":"Relic gravitons and high-frequency detectors","venue":"gr-qc","work_id":"d3f31661-e102-42bf-a8e4-09935e808ccf","year":2023},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:18.264272Z"},"links":{"cited_paper":"/paper/2303.11928","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:937fa10f0db77586c70f54151af6b882ba6fc0bb8083f2a8a9ea3c39bdb14793","observation_id":"929dbbfd-b32b-44f9-b2f1-5081a4aded95","resolution":{"observed_at":"2026-08-06T19:55:22.935104Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.08217","last_updated":"2022-09-17T21:56:40Z","snapshot_observed_at":"2026-07-06T13:21:38.983632Z","submitted_at":"2022-06-16T14:37:09Z","title":"Inflation, space-borne interferometers and the expansion history of the Universe","version":2},"cited_work":{"arxiv_id":"2206.08217","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.08217","snapshot_observed_at":"2026-08-06T19:55:22.920970Z","title":"Inflation, space-borne interferometers and the expansion history of the Universe","venue":"gr-qc","work_id":"aefbfbe2-a898-4b54-95fe-a12a7e9bd6db","year":2022},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:18.380958Z"},"links":{"cited_paper":"/paper/2206.08217","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:81099c9c5d3b8df22e86eee3c6ad55d0b37bf0905d0e3dd52645f695ef60bd51","observation_id":"ffa560be-ca6b-4683-a2d0-5fe44bf24ce1","resolution":{"observed_at":"2026-08-06T19:55:22.923807Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.13586","last_updated":"2022-03-25T11:29:34Z","snapshot_observed_at":"2026-08-06T12:11:29.561398Z","submitted_at":"2022-03-25T11:29:34Z","title":"Relic gravitons at intermediate frequencies and the expansion history of the Universe","version":1},"cited_work":{"arxiv_id":"2203.13586","doi":null,"metadata_source":"pith","pith_arxiv_id":"2203.13586","snapshot_observed_at":"2026-08-06T19:55:22.908835Z","title":"Relic gravitons at intermediate frequencies and the expansion history of the Universe","venue":"gr-qc","work_id":"f7696b57-0a5f-4601-8582-9feb9dd0a801","year":2022},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:18.584090Z"},"links":{"cited_paper":"/paper/2203.13586","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:b6faaa2cbd8bdb21ba537eda5224da7a26bb4debbbbab92195fe77290226840a","observation_id":"f4a4b5d4-fa9f-4e9d-b7dc-d807d4ed3246","resolution":{"observed_at":"2026-08-06T19:55:22.911730Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2020.13580","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:22.896539Z","title":"Giovannini, Phys","venue":null,"work_id":"d778d402-b799-4f7c-b41f-85bb5cda3e02","year":2020},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:18.705118Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:9eae8b320cbc92ff35cfd51b8db6adbd188a8e0faf7bfec1206e2744307f24c2","observation_id":"b1649154-cdcc-4d55-8905-96fd95f81920","resolution":{"observed_at":"2026-08-06T19:55:22.900344Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:18.786606Z","title":"Giovannini, Prog","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:18.786606Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:c7b7e1d0cc31578ee74e24061eba48017a08996be1b2d0856866aea8f5d5e77d","observation_id":"c1587d8d-2bfb-4a99-b807-b1009af58d6d","resolution":{"observed_at":"2026-08-06T19:55:18.786606Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.09679","last_updated":"2019-10-30T12:40:47Z","snapshot_observed_at":"2026-08-07T16:26:15.822064Z","submitted_at":"2019-08-26T13:39:53Z","title":"Effective energy density of relic gravitons","version":2},"cited_work":{"arxiv_id":"1908.09679","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.09679","snapshot_observed_at":"2026-08-06T19:55:22.782910Z","title":"Effective energy density of relic gravitons","venue":"hep-th","work_id":"b78de4d9-dcbf-4432-893f-63678c76ac13","year":2019},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:18.851697Z"},"links":{"cited_paper":"/paper/1908.09679","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:8610c00c4b71e0afb923f5773ea0b6457fbd2f7ca60128cf761abbefdde4db57","observation_id":"d8e9807b-a449-4963-b6e3-ec061d6a6ecb","resolution":{"observed_at":"2026-08-06T19:55:22.786042Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1410.5307","last_updated":"2014-10-20T15:05:14Z","snapshot_observed_at":"2026-07-06T03:57:53.403563Z","submitted_at":"2014-10-20T15:05:14Z","title":"The scalar modes of the relic gravitons","version":1},"cited_work":{"arxiv_id":"1410.5307","doi":null,"metadata_source":"pith","pith_arxiv_id":"1410.5307","snapshot_observed_at":"2026-08-06T19:55:22.774974Z","title":"The scalar modes of the relic gravitons","venue":"hep-th","work_id":"47a2c163-785d-4420-a9e4-cfdd4fe38bf5","year":2014},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:18.915535Z"},"links":{"cited_paper":"/paper/1410.5307","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:7d0c53b847a09be408ff9841da1b37a98df02b959f40a09ae9c0f15611093709","observation_id":"83aaf4f3-d0a0-4427-840b-7fce0dae485a","resolution":{"observed_at":"2026-08-06T19:55:22.777246Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0901.3026","last_updated":"2009-01-20T10:56:48Z","snapshot_observed_at":"2026-07-06T01:50:48.621473Z","submitted_at":"2009-01-20T10:56:48Z","title":"Stochastic backgrounds of relic gravitons: a theoretical appraisal","version":1},"cited_work":{"arxiv_id":"0901.3026","doi":null,"metadata_source":"pith","pith_arxiv_id":"0901.3026","snapshot_observed_at":"2026-08-06T19:55:22.766372Z","title":"Stochastic backgrounds of relic gravitons: a theoretical appraisal","venue":"astro-ph.CO","work_id":"38f64fbb-e57a-4e16-aba5-ea009fb1ba76","year":2009},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:18.980040Z"},"links":{"cited_paper":"/paper/0901.3026","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:df0e8eb2750320c1ecf8dccbed8535dd81e3d6d63e2a2edbe206788a321f5686","observation_id":"8833d3df-aa84-452c-9f09-0f68d31b7b48","resolution":{"observed_at":"2026-08-06T19:55:22.768776Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9310044","last_updated":"1993-10-25T23:39:35Z","snapshot_observed_at":"2026-07-07T01:09:02.298352Z","submitted_at":"1993-10-25T23:39:35Z","title":"Gravitational Radiation from First-Order Phase Transitions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9310044","snapshot_observed_at":"2026-08-06T19:55:19.057880Z","title":"Kamionkowski, A","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:19.057880Z"},"links":{"cited_paper":"/paper/astro-ph/9310044","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:9c0ffb78e86edb4b5bf1c269db5ea5311d20596bd8ebf424339009eee2b27e0e","observation_id":"670318ca-96b4-426a-a2b4-bd21f1d8da34","resolution":{"observed_at":"2026-08-06T19:55:19.057880Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.04256","last_updated":"2020-10-26T11:51:17Z","snapshot_observed_at":"2026-08-08T18:40:34.080128Z","submitted_at":"2020-07-08T16:46:28Z","title":"Propagating Speed of Primordial Gravitational Waves","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.04256","snapshot_observed_at":"2026-08-06T19:55:19.123881Z","title":"Giar` e and F","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:19.123881Z"},"links":{"cited_paper":"/paper/2007.04256","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:2c076d7e001f049cb93598e910c7634b5d9c3e76802b6c1b2f5d3cd4ed2a47df","observation_id":"33d8d7c2-0a6e-4af2-bad2-eec954ffcdeb","resolution":{"observed_at":"2026-08-06T19:55:19.123881Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0604458","last_updated":"2008-10-29T22:54:05Z","snapshot_observed_at":"2026-07-07T00:59:54.787519Z","submitted_at":"2006-04-21T06:22:46Z","title":"Relic gravitational waves and their detection","version":5},"cited_work":{"arxiv_id":"astro-ph/0604458","doi":null,"metadata_source":"pith","pith_arxiv_id":"astro-ph/0604458","snapshot_observed_at":"2026-08-06T19:55:22.746120Z","title":"Relic gravitational waves and their detection","venue":"astro-ph","work_id":"051ec84e-8bda-4349-bad9-55a4855507f5","year":2006},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:19.201298Z"},"links":{"cited_paper":"/paper/astro-ph/0604458","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:2456322ad66d62c0460c22e5087b46f112e353511f14dfaee0374774c38bf42c","observation_id":"d6d0ce1e-8ca2-43f4-bb17-767a8ce96bc0","resolution":{"observed_at":"2026-08-06T19:55:22.748725Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1511.05994","last_updated":"2016-02-28T18:25:21Z","snapshot_observed_at":"2026-07-06T04:37:00.543211Z","submitted_at":"2015-11-18T21:55:14Z","title":"Gravitational-wave cosmology across 29 decades in frequency","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.05994","snapshot_observed_at":"2026-08-06T19:55:19.320742Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:19.320742Z"},"links":{"cited_paper":"/paper/1511.05994","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:9d0297279b6fb8f0ec721b7b71fc7354693c9dd5619618bd7810105728cbe59d","observation_id":"e8f99562-eb92-4351-9a2b-e0da61a60554","resolution":{"observed_at":"2026-08-06T19:55:19.320742Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.04794","last_updated":"2021-12-13T12:48:28Z","snapshot_observed_at":"2026-07-06T12:16:52.641246Z","submitted_at":"2021-12-09T09:30:56Z","title":"Parity violation in stochastic gravitational wave background from inflation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.04794","snapshot_observed_at":"2026-08-06T19:55:19.381874Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:19.381874Z"},"links":{"cited_paper":"/paper/2112.04794","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:5181d084bc89912909abede5dd4ebd688b8e13779b980c50af4a02c1881e55ed","observation_id":"f10c500b-9658-4ec6-bdfa-4290091316be","resolution":{"observed_at":"2026-08-06T19:55:19.381874Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2022.10095","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:22.724828Z","title":null,"venue":null,"work_id":"674c4005-fce6-46e6-9dcb-cff399f6e7bf","year":2022},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:19.464049Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:e4bc0abf523c049c0ef1c57cb1756dfbd323713925e0bc5804a6cd2a44d24bd4","observation_id":"403c80a7-eb03-45f9-b9b9-7171ebf501e1","resolution":{"observed_at":"2026-08-06T19:55:22.727785Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2111.01362","last_updated":"2023-02-01T15:00:35Z","snapshot_observed_at":"2026-08-06T09:18:04.944565Z","submitted_at":"2021-11-02T04:15:17Z","title":"Primordial black holes and scalar induced gravitational waves from Higgs inflation with non-canonical kinetic term","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.01362","snapshot_observed_at":"2026-08-06T19:55:19.522183Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:19.522183Z"},"links":{"cited_paper":"/paper/2111.01362","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:2b50bdabcbd7ae6ac1b6407d02256d3e52497ebce70748264fd943f419cde843","observation_id":"df24662b-ce90-4610-a4c4-481e0e3137b9","resolution":{"observed_at":"2026-08-06T19:55:19.522183Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.10792","last_updated":"2021-09-08T02:07:03Z","snapshot_observed_at":"2026-07-06T11:21:06.741337Z","submitted_at":"2021-06-21T01:09:59Z","title":"Double-peaked inflation model: Scalar induced gravitational waves and primordial-black-hole suppression from primordial non-Gaussianity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.10792","snapshot_observed_at":"2026-08-06T19:55:19.598704Z","title":"Zhang, J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:19.598704Z"},"links":{"cited_paper":"/paper/2106.10792","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:24c9daa66745178dccd04fdaf59b1df9f655e47735ee1869fbb6f6d54acde2b4","observation_id":"1ab77ba3-161f-402a-ac81-a0894e3d13d1","resolution":{"observed_at":"2026-08-06T19:55:19.598704Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.06628","last_updated":"2018-03-15T12:42:50Z","snapshot_observed_at":"2026-08-04T22:34:48.751648Z","submitted_at":"2017-11-16T14:26:50Z","title":"Brane-world extra dimensions in light of GW170817","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.06628","snapshot_observed_at":"2026-08-06T19:55:19.656549Z","title":"Visinelli, N","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:19.656549Z"},"links":{"cited_paper":"/paper/1711.06628","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:5218261e673ec43b2e2556e0068224abc84ccd9b90e53774ae74dd37a8145abf","observation_id":"46ba4d51-4b4d-4012-b571-612450f388ab","resolution":{"observed_at":"2026-08-06T19:55:19.656549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"ph/0412581","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:22.652266Z","title":null,"venue":null,"work_id":"3f99ae96-f156-4702-9979-73da8ae74ae1","year":2005},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:19.721979Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:920b9b5f80c2be994ed5a7c9094c692650fd557ee4aac898d7d274a07ce3030c","observation_id":"50a32220-ff75-4772-92e0-40546cd6e191","resolution":{"observed_at":"2026-08-06T19:55:22.655423Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.04784","last_updated":"2023-05-04T09:35:34Z","snapshot_observed_at":"2026-08-07T23:46:30.737185Z","submitted_at":"2022-12-09T11:28:01Z","title":"Gravitational waves and dark matter from classical scale invariance","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.04784","snapshot_observed_at":"2026-08-06T19:55:19.788500Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:19.788500Z"},"links":{"cited_paper":"/paper/2212.04784","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:07599f632e6634491ab4ce0c6f83fc42c7643b20f4f6b33b36e0320120408cd5","observation_id":"719dcd04-c6fb-4800-a484-390e57a46aa0","resolution":{"observed_at":"2026-08-06T19:55:19.788500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1803.02620","last_updated":"2018-10-01T11:59:40Z","snapshot_observed_at":"2026-07-06T06:27:03.307235Z","submitted_at":"2018-03-07T12:43:23Z","title":"Mimicking dark matter and dark energy in a mimetic model compatible with GW170817","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.02620","snapshot_observed_at":"2026-08-06T19:55:19.853548Z","title":"Casalino, M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:19.853548Z"},"links":{"cited_paper":"/paper/1803.02620","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:f73bc00e1fe13d8000455ed129c461db4dc8d97adf4a108200f2d38f4490a4cb","observation_id":"37821694-f872-4ca3-ad17-fe64d5354fca","resolution":{"observed_at":"2026-08-06T19:55:19.853548Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:19.936932Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:19.936932Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:8ac96255d2cf0ebc68ab3bf6d9a402bcd97d4c22cb1fc095c54524ed9e5eb367","observation_id":"ef4bd9f1-1d4c-41ee-b6ae-9332e2f2712a","resolution":{"observed_at":"2026-08-06T19:55:19.936932Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.06830","last_updated":"2018-11-16T14:58:46Z","snapshot_observed_at":"2026-07-06T07:15:10.452888Z","submitted_at":"2018-11-16T14:58:46Z","title":"Alive and well: mimetic gravity and a higher-order extension in light of GW170817","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.06830","snapshot_observed_at":"2026-08-06T19:55:20.022593Z","title":"Casalino, M","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:20.022593Z"},"links":{"cited_paper":"/paper/1811.06830","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:1d8a57434a43a1b7e2183970906ffee14a51ecae20203fcffd8da72cb2621263","observation_id":"f572c696-e674-42ad-8589-e174a485baf2","resolution":{"observed_at":"2026-08-06T19:55:20.022593Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.08585","last_updated":"2022-10-13T11:11:46Z","snapshot_observed_at":"2026-07-06T13:53:33.112275Z","submitted_at":"2022-09-18T15:37:40Z","title":"Primordial black holes and gravitational waves in teleparallel Gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.08585","snapshot_observed_at":"2026-08-06T19:55:20.111164Z","title":"El Bourakadi, B","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:20.111164Z"},"links":{"cited_paper":"/paper/2209.08585","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:d45ffefee4fcb725787e32d1ba28993954a6e70121bab673240ad91b283f5cb8","observation_id":"0356e8f0-f7f3-48f7-8dd0-5b1d5283ef7c","resolution":{"observed_at":"2026-08-06T19:55:20.111164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3390/sym13122384","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:21.940656Z","title":"Sturani, Symmetry 13 (2021) no.12, 2384 doi:10.3390/sym13122384","venue":null,"work_id":"6d5f6bf3-5e6a-4dc8-8b9c-b271a8cc5023","year":2021},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:20.199158Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:4daae36329b7154412291387faab52cf102640e594b02124ba9816107b776e38","observation_id":"d8ee0fac-3192-4780-9b1e-07ea4b74c221","resolution":{"observed_at":"2026-08-06T19:55:22.076874Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.14088","last_updated":"2022-10-18T04:13:22Z","snapshot_observed_at":"2026-07-06T13:46:44.451097Z","submitted_at":"2022-08-30T09:08:21Z","title":"The challenge of ruling out inflation via the primordial graviton background","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.14088","snapshot_observed_at":"2026-08-06T19:55:20.308289Z","title":"Vagnozzi and A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:20.308289Z"},"links":{"cited_paper":"/paper/2208.14088","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:fc338fe8f66c7a9a847837b728d2d168dbfe847b68aec014f62741ca9b31e005","observation_id":"4d84fa5e-81f1-44ae-90ce-af672ee7a7be","resolution":{"observed_at":"2026-08-06T19:55:20.308289Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.16699","last_updated":"2023-02-02T21:21:38Z","snapshot_observed_at":"2026-08-07T09:26:27.542638Z","submitted_at":"2022-10-29T22:08:13Z","title":"The Effect of Non-minimally Coupled Scalar Field on Gravitational Waves from First-order Vacuum Phase Transitions","version":2},"cited_work":{"arxiv_id":"2210.16699","doi":null,"metadata_source":"pith","pith_arxiv_id":"2210.16699","snapshot_observed_at":"2026-08-06T19:55:22.408486Z","title":"The Effect of Non-minimally Coupled Scalar Field on Gravitational Waves from First-order Vacuum Phase Transitions","venue":"gr-qc","work_id":"942ccfbf-1687-45b5-a9da-a360edfc6c68","year":2022},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:20.399980Z"},"links":{"cited_paper":"/paper/2210.16699","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:9f5ac1313aacdc5b800372b2e49bdd77c3e0ecf7922d92edd6beb2d560a323f2","observation_id":"94d731a7-51a3-477f-bb0b-11e1043d0118","resolution":{"observed_at":"2026-08-06T19:55:22.411397Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.14159","last_updated":"2023-02-08T10:06:05Z","snapshot_observed_at":"2026-07-06T14:10:16.603292Z","submitted_at":"2022-10-25T16:50:19Z","title":"Towards a reliable calculation of relic radiation from primordial gravitational waves","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.14159","snapshot_observed_at":"2026-08-06T19:55:20.482998Z","title":"Giar` e, M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:20.482998Z"},"links":{"cited_paper":"/paper/2210.14159","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:ef9572d7f53a29068354f10917248402a9e3b757442eab77d4cfcba19725e661","observation_id":"1573052f-eb25-4e34-878d-bc0b05cf4b7d","resolution":{"observed_at":"2026-08-06T19:55:20.482998Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.10460","last_updated":"2021-08-24T01:09:47Z","snapshot_observed_at":"2026-08-07T00:08:51.697313Z","submitted_at":"2021-08-24T01:09:47Z","title":"A Refined Einstein-Gauss-Bonnet Inflationary Theoretical Framework","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.10460","snapshot_observed_at":"2026-08-06T19:55:20.563577Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:20.563577Z"},"links":{"cited_paper":"/paper/2108.10460","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:205f1568dd6a0af3f0725231169e78074340dabdda5298f0208bd17f13196b16","observation_id":"ccb86c8e-d6fc-45f6-ab00-123dede1995e","resolution":{"observed_at":"2026-08-06T19:55:20.563577Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1610.08830","last_updated":"2016-10-27T15:19:26Z","snapshot_observed_at":"2026-08-07T15:21:19.584901Z","submitted_at":"2016-10-27T15:19:26Z","title":"Impact of neutrino properties on the estimation of inflationary parameters from current and future observations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1610.08830","snapshot_observed_at":"2026-08-06T19:55:20.652600Z","title":"Gerbino, K","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:20.652600Z"},"links":{"cited_paper":"/paper/1610.08830","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:98e9146799dd5877a3103be418b8f826f71fc0752248e35f701169d257513945","observation_id":"fd427630-3632-42a5-8fcc-35fa5d583f85","resolution":{"observed_at":"2026-08-06T19:55:20.652600Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.11175","last_updated":"2019-07-05T13:20:20Z","snapshot_observed_at":"2026-07-06T07:17:25.743145Z","submitted_at":"2018-11-27T19:00:00Z","title":"Dark, Cold, and Noisy: Constraining Secluded Hidden Sectors with Gravitational Waves","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.11175","snapshot_observed_at":"2026-08-06T19:55:20.738558Z","title":"Breitbach, J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:20.738558Z"},"links":{"cited_paper":"/paper/1811.11175","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:443fe58ea0dc132418c539dd17bc456bed0474e2c3c695f9eb4d228ea4ec7c15","observation_id":"0f29ee70-c20c-465f-a08a-39064072d40a","resolution":{"observed_at":"2026-08-06T19:55:20.738558Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.06304","last_updated":"2019-07-05T16:54:45Z","snapshot_observed_at":"2026-07-06T07:45:44.180699Z","submitted_at":"2019-04-12T16:15:14Z","title":"Primordial Tensor Perturbation in Double Inflationary Scenario with a Break","version":2},"cited_work":{"arxiv_id":"1904.06304","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.06304","snapshot_observed_at":"2026-08-06T19:55:22.374245Z","title":"Primordial Tensor Perturbation in Double Inflationary Scenario with a Break","venue":"gr-qc","work_id":"434e1a84-b1df-42b9-a38d-e6787deb8ac4","year":2019},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:20.825130Z"},"links":{"cited_paper":"/paper/1904.06304","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:18cd57b5098a108c36bd441924c38286ab7622360f322d52e64b85c42eef00db","observation_id":"5cd0622a-0a41-423d-aca3-41b10b2a44e0","resolution":{"observed_at":"2026-08-06T19:55:22.376936Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3390/sym15040832","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:55:21.693475Z","title":"Khlopov and S","venue":null,"work_id":"ba22272f-066e-440e-b520-8813267cf956","year":2023},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:20.884549Z"},"links":{"citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:046568dfcd7c9d91995b8f78a34bd7425b297657ac9023607d93c22ee614b11f","observation_id":"4277b632-3ae1-4be3-a3f0-015c1f6816d0","resolution":{"observed_at":"2026-08-06T19:55:21.825348Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2204.00876","last_updated":"2022-04-02T14:52:04Z","snapshot_observed_at":"2026-07-06T12:56:00.974857Z","submitted_at":"2022-04-02T14:52:04Z","title":"Spectrum of Primordial Gravitational Waves in Modified Gravities: A Short Overview","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.00876","snapshot_observed_at":"2026-08-06T19:55:20.899891Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:20.899891Z"},"links":{"cited_paper":"/paper/2204.00876","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:388016522530b2fd93cf90d51b4b7f41351a80a2186e3a829b4996e923d6127c","observation_id":"3d7d00c6-d175-4651-b5f4-38b1d39e803c","resolution":{"observed_at":"2026-08-06T19:55:20.899891Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.04758","last_updated":"2022-01-07T14:32:59Z","snapshot_observed_at":"2026-07-06T12:06:38.623845Z","submitted_at":"2021-11-08T19:00:03Z","title":"Primordial gravitational waves from NANOGrav: a broken power-law approach","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.04758","snapshot_observed_at":"2026-08-06T19:55:21.068382Z","title":"Benetti, L","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:21.068382Z"},"links":{"cited_paper":"/paper/2111.04758","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:937848be899deb035a6b878914e343ba20f839f64f5ffbee1177ff2b3d645066","observation_id":"204eed95-003d-4b8f-b0e3-c284b2639c4b","resolution":{"observed_at":"2026-08-06T19:55:21.068382Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.13432","last_updated":"2020-12-15T09:13:58Z","snapshot_observed_at":"2026-07-06T09:59:29.017085Z","submitted_at":"2020-09-28T16:00:01Z","title":"Implications of the NANOGrav results for inflation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.13432","snapshot_observed_at":"2026-08-06T19:55:21.199933Z","title":"Vagnozzi, Mon","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:21.199933Z"},"links":{"cited_paper":"/paper/2009.13432","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:ba1557502d0357a55ae6de39f3c843e806b01d67040338cb23853f955d0c1ef7","observation_id":"4e334cac-ec1e-42aa-9038-a62e9d057ce0","resolution":{"observed_at":"2026-08-06T19:55:21.199933Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.01150","last_updated":"2022-05-01T20:56:44Z","snapshot_observed_at":"2026-08-05T12:47:51.403171Z","submitted_at":"2021-11-01T18:00:02Z","title":"Kination cosmology from scalar fields and gravitational-wave signatures","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.01150","snapshot_observed_at":"2026-08-06T19:55:21.339580Z","title":"Gouttenoire, G","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:21.339580Z"},"links":{"cited_paper":"/paper/2111.01150","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:1a88103644e6a9e8743c96fa99c09d7c63b7cfa25ee3808d7478620655d5050c","observation_id":"55dc4230-2eae-414d-b276-77aaf50daf5a","resolution":{"observed_at":"2026-08-06T19:55:21.339580Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0712.2980","last_updated":"2007-12-18T15:08:32Z","snapshot_observed_at":"2026-07-06T01:33:43.827872Z","submitted_at":"2007-12-18T15:08:32Z","title":"Higher-order gravity and the cosmological background of gravitational waves","version":1},"cited_work":{"arxiv_id":"0712.2980","doi":null,"metadata_source":"pith","pith_arxiv_id":"0712.2980","snapshot_observed_at":"2026-08-06T19:55:22.334783Z","title":"Higher-order gravity and the cosmological background of gravitational waves","venue":"gr-qc","work_id":"e2a653aa-5b21-4532-89f2-95911fc0959b","year":2007},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:21.424155Z"},"links":{"cited_paper":"/paper/0712.2980","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:c8e01ece99c5542aedc31251d116fc52ea3ed7293c6dded9e987d75f9caf4dda","observation_id":"3211e83c-22f8-44fa-b4b0-730b170b8026","resolution":{"observed_at":"2026-08-06T19:55:22.338262Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1808.06188","last_updated":"2019-01-06T08:53:26Z","snapshot_observed_at":"2026-07-06T06:56:18.274598Z","submitted_at":"2018-08-19T08:53:43Z","title":"The quark chemical potential of QCD phase transition and the stochastic background of gravitational waves","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1808.06188","snapshot_observed_at":"2026-08-06T19:55:21.546299Z","title":"Capozziello, M","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-06T19:55:21.546299Z"},"links":{"cited_paper":"/paper/1808.06188","citing_paper":"/paper/2507.04571"},"observation_digest":"sha256:9b1d2068efb205ff3ffdbf625c01bc45db8de4646811f81d5cc099a81eb3cdfd","observation_id":"892cb3b8-4de5-4b66-b0ee-820b68fb7950","resolution":{"observed_at":"2026-08-06T19:55:21.546299Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2507.04571","last_updated":"2025-07-06T22:59:36Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-08T13:27:41.971792Z","submitted_at":"2025-07-06T22:59:36Z","title":"Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves"},"reference_resolution":{"displayed":87,"state_counts":{"malformed_identifier":5,"metadata_mismatch":6,"parse_uncertain":0,"unresolved":59,"verified_exact":17,"verified_fuzzy":0},"total_outbound_references":87},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 87 of 87 outbound references and 2 inbound Pith citation observations for arXiv:2507.04571."}