{"as_of":"2026-08-16T16:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d7a859a646603164f740a8e2ba779deac3b331fdabb61931b31f768c4e33b986","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T04:32:11.862731Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T00:12:14.000887Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-16T00:12:14.039736Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"cited_work":{"arxiv_id":"2608.08818","doi":null,"metadata_source":"pith","pith_arxiv_id":"2608.08818","snapshot_observed_at":"2026-08-16T00:12:14.039736Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","venue":"gr-qc","work_id":"026542da-ed3a-460e-9286-ffa76f737e75","year":2026},"citing_paper":{"arxiv_id":"2608.12651","last_updated":"2026-08-12T23:26:19Z","snapshot_observed_at":"2026-08-16T16:10:58.140176Z","submitted_at":"2026-08-12T23:26:19Z","title":"Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-16T00:12:14.000887Z"},"links":{"cited_paper":"/paper/2608.08818","citing_paper":"/paper/2608.12651"},"observation_digest":"sha256:1387c5ad53ea32f06de8f00e9908c32a3a584bd9c9aa8ae61ba6c78f5bca6f63","observation_id":"ed2ca076-d65b-4599-bb1c-88ffdc8a3460","resolution":{"observed_at":"2026-08-16T00:12:14.047207Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2608.08818/citation-record","integrity":"/paper/2608.08818/integrity","json":"/paper/2608.08818/citation-record.json","paper":"/paper/2608.08818"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.374412Z","title":"Relativistic cosmology. I,","venue":null,"work_id":"094c4f01-f2ea-4fb6-aec0-7b8ecbc50cb0","year":1955},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.537506Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:890a921f782d9ab9d195edaf3e134c4128358f3e8079ef9865a6f7ceed935551","observation_id":"64881003-f63f-48e2-bf5a-6629d96ecc9f","resolution":{"observed_at":"2026-08-14T04:32:12.378214Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.362846Z","title":"The singularities of gravitational collapse and cosmology,","venue":null,"work_id":"bc58c83a-4d3e-4eec-be13-178a3b4d30e3","year":1970},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.544616Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:b14ce3d6ff09f319f52eb2518b70c363839cb198436bd6f21e51ada7192cb01c","observation_id":"dd41bbe4-a590-4af4-98b8-60c3c1bc24e2","resolution":{"observed_at":"2026-08-14T04:32:12.367600Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T04:32:11.550056Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.550056Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:577a5b32a7cdf9372c7a71580cbca954c9a9b22a7b0dcc8c4fe5cec3a1538205","observation_id":"09b49679-4c25-4208-b784-fa12c5f6d4eb","resolution":{"observed_at":"2026-08-14T04:32:11.550056Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.308510Z","title":"The Raychaudhuri equation in inhomogeneous FLR W space- time: Af(R)-gravity model,","venue":null,"work_id":"64cf6672-a971-4a7d-ab30-3cc5fd1e42eb","year":2023},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.557990Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:d08f3fce372e742badb947270324c8ff61e9ce841917dbabb5ea19d5289ebb6f","observation_id":"dee91def-d113-4c8d-9d9a-831c4f9e8756","resolution":{"observed_at":"2026-08-14T04:32:12.350011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.226289Z","title":"Constraining the number of horizons with energy conditions,","venue":null,"work_id":"fcf9f1bf-5ac1-489d-a626-0de4f2443613","year":2022},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.568677Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:a992c81bd3d58d1bf0f94561cc3461baee96606ec97e2a4476462b024fc35c2a","observation_id":"a91bcf93-197f-4cf1-a7f9-cc02e9bfca95","resolution":{"observed_at":"2026-08-14T04:32:12.238796Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.217073Z","title":"No inner-horizon the- orem for black holes with charged scalar hairs,","venue":null,"work_id":"b5b39cd9-fe46-4253-9695-8d01f59b8c3a","year":2021},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.576791Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:538efd4cb1e890aa8bfee87c2ac3256821bc58d5d756187b068c37c7ff28fef9","observation_id":"7571bca3-6426-4e4b-8183-b9df2560f337","resolution":{"observed_at":"2026-08-14T04:32:12.220292Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.207806Z","title":"No Cauchy horizon theorem for nonlinear electrodynamics black holes with charged scalar hairs,","venue":null,"work_id":"cb75e3f3-9ef3-45fb-8c3a-5434f3539dab","year":2021},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.590261Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:b3426dfb080632a3679156267cbf455ce698f2cfdab5bff00021eccc692f8aa5","observation_id":"6ad1a504-edc7-4e9d-850e-95bae1d3cfc4","resolution":{"observed_at":"2026-08-14T04:32:12.211508Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.198885Z","title":"No scalar-haired Cauchy horizon theorem in Einstein–Maxwell–Horndeski theories,","venue":null,"work_id":"393e4e40-7630-4249-a797-aacd4d8f5a3a","year":2022},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.601435Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:ded65348338093f145d461bc6a103a723c8ad4f848d75aa0de487c6b881ed525","observation_id":"c611158a-7878-486c-8e8c-cb5f4381a624","resolution":{"observed_at":"2026-08-14T04:32:12.202174Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.188581Z","title":"No scalar-haired Cauchy horizon theorem in charged Gauss–Bonnet black holes,","venue":null,"work_id":"8b5d36d8-9d41-4c4c-bf7b-151ec19a3b15","year":2024},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.604994Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:d6b6f3aa37bb55db1ca52ce129c1b28c9959bcb0006bcfcb78f6f31adecba52b","observation_id":"597dcb9a-5fab-43ed-8b97-4bb5006fbe32","resolution":{"observed_at":"2026-08-14T04:32:12.191795Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1312.0784","last_updated":"2014-02-13T15:02:00Z","snapshot_observed_at":"2026-08-14T23:53:05.085951Z","submitted_at":"2013-12-03T11:52:41Z","title":"Energy conditions in modified gravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1312.0784","snapshot_observed_at":"2026-08-14T04:32:11.608212Z","title":"Energy conditions in modified gravity,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.608212Z"},"links":{"cited_paper":"/paper/1312.0784","citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:a103a00235dee8b1d80b395a1e9c24dd4bf344b904b1136ba95ab4fdd1c7ceff","observation_id":"aaa2b175-065b-4ff9-8976-3a5c9de77449","resolution":{"observed_at":"2026-08-14T04:32:11.608212Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1407.7293","last_updated":"2015-05-26T11:13:27Z","snapshot_observed_at":"2026-08-14T23:25:13.315717Z","submitted_at":"2014-07-27T23:19:52Z","title":"Generalized energy conditions in Extended Theories of Gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1407.7293","snapshot_observed_at":"2026-08-14T04:32:11.613172Z","title":"Gener- alized energy conditions in extended theories of gravity,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.613172Z"},"links":{"cited_paper":"/paper/1407.7293","citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:33f0edbabb20c502b595ed9102bb0368438a4fed176bb80ee18cbea8dcc31623","observation_id":"a933b337-0b75-4ca1-943c-a915b1539d45","resolution":{"observed_at":"2026-08-14T04:32:11.613172Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.178635Z","title":"f(R) theories of gravity,","venue":null,"work_id":"d8721d07-1b1e-4eea-8d9b-e585e1a2cece","year":2010},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.658135Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:0ff47ba2632c3318623cb296ee7fde345d549321ca75a84b2a346ba37294711c","observation_id":"5441df00-7c65-479e-a022-6e0f5b41d7cd","resolution":{"observed_at":"2026-08-14T04:32:12.182341Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.168921Z","title":"f(R) theories,","venue":null,"work_id":"82834e7e-4a0e-4c9f-b552-0f2d40baff86","year":2010},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.681391Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:8b69c6c810c844af93eb8f4ca3482565d5371850ecac475d26199a350fc264b2","observation_id":"a453397c-adca-4708-b25e-4170d0561363","resolution":{"observed_at":"2026-08-14T04:32:12.172565Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.159149Z","title":"Unified cosmic history in modified gravity: fromF(R) theory to Lorentz non- invariant models,","venue":null,"work_id":"b41de1fb-48c8-4439-846c-0f3d20295918","year":2011},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.685224Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:ad9792c756b39f2f1b0e2d4c496093fabe6e652fcf543c9005e4f7c98b472284","observation_id":"0b0311bc-aef9-42aa-b1f5-646831f057a9","resolution":{"observed_at":"2026-08-14T04:32:12.162225Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.149641Z","title":"Extended theories of gravity,","venue":null,"work_id":"5bd08e01-8e85-407c-b935-f46d0a02e0c5","year":2011},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.688665Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:d2e45534811ab4d4732433ed6436022cc6d71597e7fd2c145122bca1aa119f81","observation_id":"6e4fb0df-0e61-46b0-858b-559f607a7717","resolution":{"observed_at":"2026-08-14T04:32:12.152539Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.140237Z","title":"F(R) gravity and in- flation,","venue":null,"work_id":"6228acb8-3e32-4849-a791-8a39b412d5ff","year":2015},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.691486Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:a579bb440b2f587b3288cbd3db532e81842eb55eda3f5b5056112db25e1d60aa","observation_id":"c70a1f6e-e649-468f-ba99-8afde1d419d7","resolution":{"observed_at":"2026-08-14T04:32:12.143058Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"ph/0606373","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.011803Z","title":"Spherically symmetric so- lutions of modified field equations inf(R) theories of gravity,","venue":null,"work_id":"5dee1ccf-2199-40e5-9746-d2093a6be191","year":2006},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.714755Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:d9e4e39f0f7e326a0d3b97aea0dd3da9b54266bfb2ed95a3e5dca3ed373939e4","observation_id":"eec44fcb-9d6d-4556-a078-d9d63c0710c0","resolution":{"observed_at":"2026-08-14T04:32:12.017715Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0710.5635","last_updated":"2008-06-23T13:37:45Z","snapshot_observed_at":"2026-08-15T10:28:49.495290Z","submitted_at":"2007-10-30T13:09:01Z","title":"Consistency Condition of Spherically Symmetric Solutions in $f(R)$ Gravity","version":3},"cited_work":{"arxiv_id":"0710.5635","doi":null,"metadata_source":"pith","pith_arxiv_id":"0710.5635","snapshot_observed_at":"2026-08-14T04:32:11.950227Z","title":"Consistency Condition of Spherically Symmetric Solutions in $f(R)$ Gravity","venue":"astro-ph","work_id":"1c919f80-a848-4166-9f47-eca898aee889","year":2007},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.750450Z"},"links":{"cited_paper":"/paper/0710.5635","citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:9367f85e7643029b04cca38e0d72000266b71a6dd43d162852c6048cd93e0bda","observation_id":"2507b15d-4e45-4b9a-87af-aac681f8f862","resolution":{"observed_at":"2026-08-14T04:32:11.954916Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.130814Z","title":"Static spherically symmet- ric solutions inF(R) gravity,","venue":null,"work_id":"0e474945-fbd2-4755-8d07-3d3d36ec86ac","year":2011},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.783056Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:1f75f183f27b8072cfab4f270a4a3e0f538de158b18d1405caac0e8ef6203805","observation_id":"567f84f7-6a9f-4e4c-80a2-c2a0e84796c8","resolution":{"observed_at":"2026-08-14T04:32:12.133898Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.121618Z","title":"Exact black hole solutions with a conformally coupled scalar field and dynamic Ricci curvature inf(R) gravity theories,","venue":null,"work_id":"70b78676-14d8-47a2-91c7-13b3107290ee","year":2021},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.813639Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:767377191601463ed410118f4c91f753a51a079002c2e8498f83292d028aad8a","observation_id":"cd566848-52dd-49af-9c1d-b86715cb48dd","resolution":{"observed_at":"2026-08-14T04:32:12.124984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.110458Z","title":"Exact rotating black hole solutions forf(R) gravity by the modified Newman–Janis algorithm,","venue":null,"work_id":"240352eb-9cb5-4114-87d4-1bab2acefb3c","year":2023},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.828863Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:0e72a6a247770cefe716721efef464d916670e1657503e8e72a4c6fb379d1442","observation_id":"436a431f-c6dc-4d7e-8186-611b938be75a","resolution":{"observed_at":"2026-08-14T04:32:12.114446Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.2325","last_updated":"2008-11-14T16:50:53Z","snapshot_observed_at":"2026-08-15T10:11:11.589668Z","submitted_at":"2008-07-15T11:25:47Z","title":"Exact solutions of f(R) gravity coupled to nonlinear electrodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.2325","snapshot_observed_at":"2026-08-14T04:32:11.832038Z","title":"Exact solutions off(R) gravity coupled to nonlinear electrodynamics,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.832038Z"},"links":{"cited_paper":"/paper/0807.2325","citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:f0dbc8e19e6341dc621e8dcd22b72acde57020b2ffa3371be4b99aa5cd2cda7a","observation_id":"739c05c1-a2c7-4387-9583-3a6b465430a9","resolution":{"observed_at":"2026-08-14T04:32:11.832038Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.097346Z","title":"Spherically symmetric and static solutions inf(R) gravity coupled with electro- magnetic fields,","venue":null,"work_id":"470e9dfe-ae91-42d3-961e-321c7b1538bf","year":2020},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.835505Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:d851b25fc42603783e41afd3fd6481e4fc66502a1c5b3d0e2854d8b367a87518","observation_id":"ea76248f-4473-47ad-bcf6-495873cbbf05","resolution":{"observed_at":"2026-08-14T04:32:12.101432Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.085596Z","title":"Exact charged black hole solutions inDdimensions inf(R) gravity,","venue":null,"work_id":"9b1a62fd-7883-4c6b-ac81-c19017980a63","year":2021},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.838804Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:ba611fcd8f7f3b78e4cc20b82e4179b9f049c04340153bd1136e90908b8cc3c6","observation_id":"8e78eb39-7c21-4286-8882-ac0e8026db3f","resolution":{"observed_at":"2026-08-14T04:32:12.089352Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1503.05151","last_updated":"2015-04-21T16:20:11Z","snapshot_observed_at":"2026-08-14T22:55:57.747984Z","submitted_at":"2015-03-17T18:23:48Z","title":"Thermodynamics of topological black holes in $R^{2}$ gravity","version":3},"cited_work":{"arxiv_id":"1503.05151","doi":null,"metadata_source":"pith","pith_arxiv_id":"1503.05151","snapshot_observed_at":"2026-08-14T04:32:11.922448Z","title":"Thermodynamics of topological black holes in $R^{2}$ gravity","venue":"gr-qc","work_id":"e344cb98-5fd8-453c-a0cd-3171cdb5fb67","year":2015},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.841849Z"},"links":{"cited_paper":"/paper/1503.05151","citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:2522039d1581c893c4b2eabe754ec1b6684963163c852d20f2b89d72748a0ded","observation_id":"a5d2f877-a2a7-4a0a-9bfd-fcf0a3bd54fe","resolution":{"observed_at":"2026-08-14T04:32:11.928627Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.072718Z","title":"Topological phantom AdS black holes inF(R) gravity,","venue":null,"work_id":"75d5f9f7-0d32-4da2-8641-ce656984c509","year":2023},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.845483Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:a1e9c21cb4cd63fccce3c55671acf6924e8f3c0ffe5dab309e291f4e76479580","observation_id":"ae9a74d1-12f0-4aaa-a7ee-2e3eb229f178","resolution":{"observed_at":"2026-08-14T04:32:12.076930Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.061254Z","title":"Cor- rected thermodynamics of black holes inf(R) gravity with electrodynamic field and cosmological constant,","venue":null,"work_id":"3ed47196-e41e-4992-873d-bea41637aeb4","year":2024},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.848592Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:93a5ca5d18cae48f8d7db2596c434177a20328b08c7c21e8399bae1586906224","observation_id":"96b7bc8f-8a69-429c-9b7b-465a71104158","resolution":{"observed_at":"2026-08-14T04:32:12.065394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2604.16545","last_updated":"2026-06-16T13:32:43Z","snapshot_observed_at":"2026-08-13T18:14:19.734748Z","submitted_at":"2026-04-17T06:08:58Z","title":"Energy conditions in static, spherically symmetric spacetimes and effective geometries","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.16545","snapshot_observed_at":"2026-08-14T04:32:11.852118Z","title":"Energy conditions in static, spherically symmetric spacetimes and effective geome- tries,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.852118Z"},"links":{"cited_paper":"/paper/2604.16545","citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:1929b54a494f57ce6193e4314f35df3b98fa8a35c62a031cb0c50b1a1fcf556f","observation_id":"05f815a8-a0f1-4996-b7da-215c3119c981","resolution":{"observed_at":"2026-08-14T04:32:11.852118Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T04:32:12.047560Z","title":"Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity,","venue":null,"work_id":"318cd971-5947-4f13-bb2a-5d2f84569948","year":1988},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.856218Z"},"links":{"citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:8ef146a3c9c8c88cc36dab7fc83bc3f3958bdc0b7a32cf3b1eeb38ba8ee74a30","observation_id":"9f8584bf-4d9d-46aa-be35-9f6e094bed29","resolution":{"observed_at":"2026-08-14T04:32:12.052445Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1301.6878","last_updated":"2013-03-21T16:40:48Z","snapshot_observed_at":"2026-08-15T00:30:46.125009Z","submitted_at":"2013-01-29T10:05:05Z","title":"Modified-gravity wormholes without exotic matter","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1301.6878","snapshot_observed_at":"2026-08-14T04:32:11.859241Z","title":"Modified-gravity wormholes without exotic matter,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.859241Z"},"links":{"cited_paper":"/paper/1301.6878","citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:7977c7ef34a33564bf8d86278b9e172887ee4e51a3fe594befd1eb8759143dd5","observation_id":"8283dc78-f2ee-42e8-ab5c-4d9254b2a254","resolution":{"observed_at":"2026-08-14T04:32:11.859241Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"physics/9912033","last_updated":"1999-12-16T18:29:12Z","snapshot_observed_at":"2026-07-07T06:59:50.808861Z","submitted_at":"1999-12-16T18:29:12Z","title":"On the gravitational field of a sphere of incompressible fluid according to Einstein's theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"physics/9912033","snapshot_observed_at":"2026-08-14T04:32:11.862731Z","title":"¨Uber das Gravitationsfeld einer Kugel aus inkompressibler Fl¨ ussigkeit nach der Einsteinschen Theorie,","venue":null,"work_id":null,"year":1916},"citing_paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T04:32:11.862731Z"},"links":{"cited_paper":"/paper/physics/9912033","citing_paper":"/paper/2608.08818"},"observation_digest":"sha256:6614cb7c32f452f5393cfc49729c788117d9ab96024232554835d3dc126e2e3d","observation_id":"72f90fee-9afc-407e-b173-12889c9b784b","resolution":{"observed_at":"2026-08-14T04:32:11.862731Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.08818","last_updated":"2026-08-09T17:08:54Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-14T04:21:00.452279Z","submitted_at":"2026-08-09T17:08:54Z","title":"Scalaron-modified null focusing and radial monotonicity in static f(R) gravity"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":3,"verified_fuzzy":21},"total_outbound_references":31},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2608.08818."}