{"as_of":"2026-08-12T13:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:21c599b7c35254755993b73803a31221fa185cbb90305324831cd14c35440ae9","coverage":[{"denominator":11,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T21:02:07.608637Z","state":"measured"},{"denominator":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/2501.06631/citation-record","integrity":"/paper/2501.06631/integrity","json":"/paper/2501.06631/citation-record.json","paper":"/paper/2501.06631"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:02:07.988281Z","title":"The dynamics of gravitational collapse of a dustlike sphere in the pre sence of a cosmological constant is determined by equation (8)","venue":null,"work_id":"4936c546-4233-4f80-98aa-857effe66aa3","year":null},"citing_paper":{"arxiv_id":"2501.06631","last_updated":"2025-01-11T20:27:31Z","snapshot_observed_at":"2026-08-10T21:09:42.561440Z","submitted_at":"2025-01-11T20:27:31Z","title":"Gravitational collapse in the expanding Universe","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T21:02:07.518596Z"},"links":{"citing_paper":"/paper/2501.06631"},"observation_digest":"sha256:6c99a91916d6785eb8a513417d20ecaa1616dc6350c99c91d34e7fc3fcbc44ed","observation_id":"1fc569a3-5ce8-40ae-bbf1-e83f4a7152eb","resolution":{"observed_at":"2026-08-10T21:02:07.995992Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T21:02:07.963084Z","title":"(18) The entire sphere will collapse, δb < 0, if 2Λ b0/3 < r g/b2 0, which gives b0 ≤ ( 3rg 2Λ ) 1/ 3","venue":null,"work_id":"cb82a967-0d31-46c7-b534-e9074e139f5d","year":null},"citing_paper":{"arxiv_id":"2501.06631","last_updated":"2025-01-11T20:27:31Z","snapshot_observed_at":"2026-08-10T21:09:42.561440Z","submitted_at":"2025-01-11T20:27:31Z","title":"Gravitational collapse in the expanding Universe","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T21:02:07.527603Z"},"links":{"citing_paper":"/paper/2501.06631"},"observation_digest":"sha256:992fa543f66463bc8ddbb6572d90520de7b055f0675ded94b4637c91082dbfd0","observation_id":"aedda553-07b1-4c4a-aad1-1240c8e01464","resolution":{"observed_at":"2026-08-10T21:02:07.971618Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T21:02:07.939550Z","title":"Lemaˆ ıtre, Ann","venue":null,"work_id":"1255e1dc-3fff-4ba1-9a76-ac583a8b7889","year":1933},"citing_paper":{"arxiv_id":"2501.06631","last_updated":"2025-01-11T20:27:31Z","snapshot_observed_at":"2026-08-10T21:09:42.561440Z","submitted_at":"2025-01-11T20:27:31Z","title":"Gravitational collapse in the expanding Universe","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T21:02:07.537085Z"},"links":{"citing_paper":"/paper/2501.06631"},"observation_digest":"sha256:2c2ecd1890ecba5106cbad071d5c588a37f973210a56852efd4a045da68deeda","observation_id":"ffe14022-6747-420c-a29f-d77077c95e40","resolution":{"observed_at":"2026-08-10T21:02:07.947393Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T21:02:07.909215Z","title":null,"venue":null,"work_id":"46fe4e1a-7e46-431d-a372-6f0c3bde73ad","year":1975},"citing_paper":{"arxiv_id":"2501.06631","last_updated":"2025-01-11T20:27:31Z","snapshot_observed_at":"2026-08-10T21:09:42.561440Z","submitted_at":"2025-01-11T20:27:31Z","title":"Gravitational collapse in the expanding Universe","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T21:02:07.544343Z"},"links":{"citing_paper":"/paper/2501.06631"},"observation_digest":"sha256:bede85c235293b53a744ac15433de9d858a8378a94b952987d4ba9f3d9c758ee","observation_id":"a20327f2-6385-43d2-8882-c7639abc1129","resolution":{"observed_at":"2026-08-10T21:02:07.918512Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T21:02:07.876788Z","title":"Pop/suppress lawski, Zh","venue":null,"work_id":"c568d154-099a-4956-bdf7-32321a52d06f","year":2021},"citing_paper":{"arxiv_id":"2501.06631","last_updated":"2025-01-11T20:27:31Z","snapshot_observed_at":"2026-08-10T21:09:42.561440Z","submitted_at":"2025-01-11T20:27:31Z","title":"Gravitational collapse in the expanding Universe","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T21:02:07.550867Z"},"links":{"citing_paper":"/paper/2501.06631"},"observation_digest":"sha256:65d145fa701d622f6ec5a38191acb2b035cd44a597d170def49e63d017bdd310","observation_id":"a1a8dc98-16a0-4810-8195-8b307c696a0f","resolution":{"observed_at":"2026-08-10T21:02:07.885227Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T21:02:07.849480Z","title":null,"venue":null,"work_id":"d15f084d-68c6-401d-89d7-b034fe6d9bbe","year":1932},"citing_paper":{"arxiv_id":"2501.06631","last_updated":"2025-01-11T20:27:31Z","snapshot_observed_at":"2026-08-10T21:09:42.561440Z","submitted_at":"2025-01-11T20:27:31Z","title":"Gravitational collapse in the expanding Universe","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T21:02:07.561792Z"},"links":{"citing_paper":"/paper/2501.06631"},"observation_digest":"sha256:e2685b144f36b7b9d3fc261b863dd704fa9bddc3bf9cc2cab728a911f392d0a4","observation_id":"47bd30c4-5f6c-46c1-ad36-b1280d101d48","resolution":{"observed_at":"2026-08-10T21:02:07.857153Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T21:02:07.822543Z","title":null,"venue":null,"work_id":"2f9a006f-b752-473d-a040-d717387f3aa9","year":2024},"citing_paper":{"arxiv_id":"2501.06631","last_updated":"2025-01-11T20:27:31Z","snapshot_observed_at":"2026-08-10T21:09:42.561440Z","submitted_at":"2025-01-11T20:27:31Z","title":"Gravitational collapse in the expanding Universe","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T21:02:07.569041Z"},"links":{"citing_paper":"/paper/2501.06631"},"observation_digest":"sha256:a75da9b231464de890dcde9cde372b1d2944fc5326f97c51a5dc44c78dd86c64","observation_id":"610802b9-c28b-47a4-b6e7-3a496b29b218","resolution":{"observed_at":"2026-08-10T21:02:07.829771Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T21:02:07.773980Z","title":"Cartan, C","venue":null,"work_id":"fca1edc9-1b27-4339-abb5-594ec760921d","year":1922},"citing_paper":{"arxiv_id":"2501.06631","last_updated":"2025-01-11T20:27:31Z","snapshot_observed_at":"2026-08-10T21:09:42.561440Z","submitted_at":"2025-01-11T20:27:31Z","title":"Gravitational collapse in the expanding Universe","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T21:02:07.579711Z"},"links":{"citing_paper":"/paper/2501.06631"},"observation_digest":"sha256:4412acc8fc240502480a8b26ffbf4183387c1d72c8a0e16c9c3f99376f84ff04","observation_id":"13565c25-e4b8-4e41-8892-4651f021c824","resolution":{"observed_at":"2026-08-10T21:02:07.790544Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0911.0334","last_updated":"2024-01-11T22:49:58Z","snapshot_observed_at":"2026-08-09T14:34:29.741046Z","submitted_at":"2009-11-02T16:32:00Z","title":"Classical Physics: Spacetime and Fields","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0911.0334","snapshot_observed_at":"2026-08-10T21:02:07.588545Z","title":"Schr¨ odinger,Space-time Structure (Cambridge University Press, 1954); E","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.06631","last_updated":"2025-01-11T20:27:31Z","snapshot_observed_at":"2026-08-10T21:09:42.561440Z","submitted_at":"2025-01-11T20:27:31Z","title":"Gravitational collapse in the expanding Universe","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T21:02:07.588545Z"},"links":{"cited_paper":"/paper/0911.0334","citing_paper":"/paper/2501.06631"},"observation_digest":"sha256:8b8f1e0d23b4c6172bd5d648ac7e98f6f060159752d16d1458fbb5dcd33c5877","observation_id":"10e0aa5d-2d2e-4b5f-88d7-9aafde89195d","resolution":{"observed_at":"2026-08-10T21:02:07.588545Z","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":"2026-08-10T21:02:07.751126Z","title":"Kopczy´ nski, Phys","venue":null,"work_id":"0c8d497f-3a7d-4e64-ae6a-3f1518afa655","year":1972},"citing_paper":{"arxiv_id":"2501.06631","last_updated":"2025-01-11T20:27:31Z","snapshot_observed_at":"2026-08-10T21:09:42.561440Z","submitted_at":"2025-01-11T20:27:31Z","title":"Gravitational collapse in the expanding Universe","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T21:02:07.598232Z"},"links":{"citing_paper":"/paper/2501.06631"},"observation_digest":"sha256:fb00447440c25e5e4a33a16deffd696ddb9e5dc58d284c0534fd956f505654f9","observation_id":"33a142cb-e21b-414a-91ae-d579174a11de","resolution":{"observed_at":"2026-08-10T21:02:07.757751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T21:02:07.722888Z","title":null,"venue":null,"work_id":"41c328a5-8e0f-4745-bf4c-364d9024c677","year":2010},"citing_paper":{"arxiv_id":"2501.06631","last_updated":"2025-01-11T20:27:31Z","snapshot_observed_at":"2026-08-10T21:09:42.561440Z","submitted_at":"2025-01-11T20:27:31Z","title":"Gravitational collapse in the expanding Universe","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T21:02:07.608637Z"},"links":{"citing_paper":"/paper/2501.06631"},"observation_digest":"sha256:ad1826a4383f2026133e7d5f8cd2b89312896ffffe1379ca6d3cafe5f8d87ea4","observation_id":"ec6fad5c-7b9f-432c-bc83-e2a1edb9bfc5","resolution":{"observed_at":"2026-08-10T21:02:07.731286Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.06631","last_updated":"2025-01-11T20:27:31Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-10T21:09:42.561440Z","submitted_at":"2025-01-11T20:27:31Z","title":"Gravitational collapse in the expanding Universe"},"reference_resolution":{"displayed":11,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":6},"total_outbound_references":11},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2501.06631."}