{"as_of":"2026-08-03T09:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:545716beb3e766b9c29da58c83dcb9dae91b0b3c4538ad2cacebb8ee4485b82b","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":"2026-05-24T06:58:28.497532Z","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":"2026-08-03T06:30:56.289259+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":"2026-08-01T07:59:06.105614Z","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":"2026-08-01T12:16:17.934468Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"cited_work":{"arxiv_id":"2309.02946","doi":"10.48550/arxiv.2309.02946","metadata_source":"pith","pith_arxiv_id":"2309.02946","snapshot_observed_at":"2026-08-01T12:16:17.934468Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","venue":"gr-qc","work_id":"5b33ba3d-bfc9-4166-a0d5-e52fe9569d0b","year":2023},"citing_paper":{"arxiv_id":"2607.21308","last_updated":"2026-07-23T13:31:36Z","snapshot_observed_at":"2026-08-01T07:59:04.293042Z","submitted_at":"2026-07-23T13:31:36Z","title":"Cosmological initial data without periodic boundary conditions","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T07:59:06.105614Z"},"links":{"cited_paper":"/paper/2309.02946","citing_paper":"/paper/2607.21308"},"observation_digest":"sha256:3f6ae8315ee39bc717de7c538a843d29657a3416c78d484c050a416b3eb109d9","observation_id":"9ea85527-a36d-411c-a1d0-bc53b506641b","resolution":{"observed_at":"2026-08-01T08:04:06.714052Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-01T15:08:12.75518+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-01T15:08:12.75518+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2309.02946/citation-record","integrity":"/paper/2309.02946/integrity","json":"/paper/2309.02946/citation-record.json","paper":"/paper/2309.02946"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Alcubierre","venue":null,"work_id":"18e23ac0-c757-4aac-adc3-aafc2bf08c30","year":2008},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:06742b210e142523f2ba76cfbf86f1405f4198783e0db5f0ca651e0177c0906e","observation_id":"a9fd6fa6-0062-4343-8951-6172e3d18d31","resolution":{"observed_at":"2026-05-24T06:59:03.243309Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Alcubierre, G","venue":null,"work_id":"d612af4f-b005-43ad-9d92-f8631437c038","year":2003},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:db26251f7d8b06d348d8a04298ba0b9728c7afa0d27b9f94fa1d2fe5030eaaea","observation_id":"ef1001eb-8264-4ad6-9c1e-78d96c91e142","resolution":{"observed_at":"2026-05-24T06:59:03.294262Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"5844ed7f-b847-4fd0-a939-473c47b9079b","year":2010},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:7dafc0881576beb9764a66b80db286d2fb7153bff729f582c4fad33eccf53eb5","observation_id":"a08e8961-dd17-4914-a174-30d3ca993246","resolution":{"observed_at":"2026-05-24T06:59:03.323739Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Beyer, L","venue":null,"work_id":"6b9c6b91-6fe8-4aa4-ae11-c192543f2fb3","year":2017},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:cb4fc60979ee249cd0cd0c812920a5fdb570eeaa0640877fe236f7bd6be62a54","observation_id":"8a5ec7cd-c09e-49e8-b084-0db462a0c51b","resolution":{"observed_at":"2026-05-24T06:59:03.208182Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Beyer, L","venue":null,"work_id":"a53bd286-b69b-4cfc-9e82-396fd5f26c05","year":2019},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:e00bc1ee7959bb02dcb242754b747c51c9f5f787440ce69172dbcf1da05f7e6c","observation_id":"1448d091-3746-4183-a58e-9bb0d6eb651c","resolution":{"observed_at":"2026-05-24T06:59:03.308895Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Beyer, J","venue":null,"work_id":"ebd068e0-14f9-419c-a9b4-729f02b0fdc6","year":2020},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:dbc099633d937da5260a0afce8b40cf8081d25e9a9d4e5cb84a10f67145d97b5","observation_id":"e05ada82-a4c2-4e2b-a08b-108fe176600f","resolution":{"observed_at":"2026-05-24T06:59:03.286852Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Canuto, M","venue":null,"work_id":"9aba1075-5eba-4054-a476-b3d5b6fc6a6e","year":2007},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:c26dc8c1b2ae8209d29748b740146f1f939b7aac4ae95fe5066999f872042138","observation_id":"a1da1733-d0f2-48d9-88a9-355029500faa","resolution":{"observed_at":"2026-05-24T06:59:03.342307Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Csuk´ as and I","venue":null,"work_id":"62efb6a2-b23b-4c42-b71d-ee417d11d01a","year":2020},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:467d767d79542e8848f17736c0ce9b528b1da1e986e7182d6e9c9e7de4f7aa38","observation_id":"06ee98bb-4e71-47fc-96b6-1576fd5965c9","resolution":{"observed_at":"2026-05-24T06:59:03.297981Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Csuk´ as and I","venue":null,"work_id":"46373128-a9b2-4672-aab8-11b28b217cf5","year":2023},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:01ecef3cf4f8e8b65368377282a4656fc089d93538908835345b480175c9b76a","observation_id":"53f65a7b-57b3-49c7-a0e1-b9e24b4b5c77","resolution":{"observed_at":"2026-05-24T06:59:03.239015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"ed6cd477-be96-4d87-b8f8-3b87231908ce","year":1992},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:88b37dccbd17f484cb98cc1f8c231b95ab5f8c0743f1b4c98363752f673093ab","observation_id":"17d3c58f-5b23-42ce-8e48-6a01e709224a","resolution":{"observed_at":"2026-05-24T06:59:03.275449Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Dodelson and F","venue":null,"work_id":"57165079-c6cc-481f-b1eb-3681ad002555","year":2020},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:4d734003af08fc95500753576fccc60a046517afd8159b4f434c834600a8d1ba","observation_id":"cb547030-2ef9-4b3f-90f0-4dcfced0f037","resolution":{"observed_at":"2026-05-24T06:59:03.267200Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"541faf0a-2ebe-4f3a-8e84-7dbb1e613c7e","year":2008},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:a2144f5145f85ba42b632ac2758147bac4a2d2049b7f428524d5cc7305a446e3","observation_id":"df36b40c-0707-4137-9b28-6fbc26f1d6e1","resolution":{"observed_at":"2026-05-24T06:59:03.319732Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Garfinkle and L","venue":null,"work_id":"372d49ce-85b9-417c-bcc9-18410be6e048","year":2020},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:d84bcddd4910e4e5f3562afbdb279f4576a4b56095713c957b0ff632befda24c","observation_id":"9fd7d9e8-a6f6-4b8e-8c4e-05198c7c06ac","resolution":{"observed_at":"2026-05-24T06:59:03.305410Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"6456c1d2-fba0-49f0-8e4a-cc07075ac715","year":1993},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:7579d9d340827158eac2005a7213fbf2e4e4f968d2353ff896a0aa48305512bb","observation_id":"0be64aaf-2651-4748-9b2f-7874edbf4a58","resolution":{"observed_at":"2026-05-24T06:59:03.327635Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1af0f2f1-bfa2-40a2-a1a2-c7526312d664","year":2009},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:85cd9322dd54b417e5bb28a03b642f46ccb1b0fe876fb3d4be6a105e1a92efca","observation_id":"052439f9-0231-46ce-8358-1a7e8c322d0e","resolution":{"observed_at":"2026-05-24T06:59:03.335034Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Ma and E","venue":null,"work_id":"4aa0ffc0-e63c-42e5-91c0-e7ca4759d749","year":1995},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:d9d3df559538fba892be723bc4732f1b861c36cb3eac047f11e83e235d30988b","observation_id":"03658ce9-eed2-4323-b249-2d92333b6a0f","resolution":{"observed_at":"2026-05-24T06:59:03.312558Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a5686cbd-c418-4ed0-b497-5d18e7be7606","year":2017},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:0fa6205a8c755e0472fd7830c0157f08f1b88c35f672c41d73110b009d0e1fed","observation_id":"fc1df6b1-12dd-4097-8e99-255bee41c742","resolution":{"observed_at":"2026-05-24T06:59:03.301617Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"46b02867-586e-4f11-9682-01c24633e46f","year":2019},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:887c5dfb55aac58d7177539844c9fa670c19ae03ab5a45e6be75590e2dd1747e","observation_id":"145e1b06-de80-4c97-90ee-2d711a6c5807","resolution":{"observed_at":"2026-05-24T06:59:03.353163Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"43bb45b5-86e3-43e7-ae85-1290344b1186","year":null},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:c0c7e97964431f51f25f26694edcaea293f715c64b3af14baf63f49b764aade5","observation_id":"e308be2f-9436-4abc-98a1-37d1184aea4b","resolution":{"observed_at":"2026-05-24T06:59:03.290809Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"686022a5-b5e2-40c0-a0ee-ffa28af0dac8","year":2020},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:f4a430e9dd3177d8d45089d16b14884415cbe22377198ba95e5edd3d27b4f5cf","observation_id":"7f46b2ad-1bad-4b5e-a904-e2568f08fe85","resolution":{"observed_at":"2026-05-24T06:59:03.357084Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3bb183e2-43b0-4000-9beb-06a498bd1a39","year":2014},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:29f5a32eeef5340ab43c67c58ac3a3289bf50f9326053313efc8611966cbbba1","observation_id":"92deef3e-3921-4934-83f4-7dfc17baa73a","resolution":{"observed_at":"2026-05-24T06:59:03.229170Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a35b0104-87ca-4dcb-a452-8d466ea35ee8","year":2014},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:a42acd4593022898b5bf5af5d53a7fa55ab7323de2d63eab963750349354729d","observation_id":"7ce5c77a-23ee-496c-a271-3613cb098144","resolution":{"observed_at":"2026-05-24T06:59:03.345958Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"95669f12-f709-4066-9e3b-0c8f570d4b05","year":2015},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:0fa4449b1608f31e35b2eadf80e0fcde5e89753a966481881903bf73468b2109","observation_id":"a1e43d75-8361-4235-90ad-c6915942ebf1","resolution":{"observed_at":"2026-05-24T06:59:03.283018Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"aec99e73-2dcb-4c4a-a2c0-1e33a8395ded","year":1992},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:8072ee5e78f23b3b58a3bb6461ee27ff8eababe53e1b2131a86cc9d1fded2c1a","observation_id":"f6a776f6-8347-43b2-b305-38fe774e4ba0","resolution":{"observed_at":"2026-05-24T06:59:03.331194Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Ringstr¨ om","venue":null,"work_id":"e113e497-463a-4aca-9398-72aa66d3488f","year":2010},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:3baa54f56c5d0111806383f8039523a31486401cf4a5b1d869c280665a8271e7","observation_id":"2b72e42a-70ec-4159-9667-ac5591fcfa9e","resolution":{"observed_at":"2026-05-24T06:59:03.349357Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Stoer, R","venue":null,"work_id":"1b0890aa-3d20-4735-8bd9-9191fe48a6ea","year":1993},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:59bdb4bace334c822e111f93ca0ad018091cea771351aba8092759b1ad6eb131","observation_id":"1d095e25-3684-48ca-a5fa-ed639f27c7df","resolution":{"observed_at":"2026-05-24T06:59:03.316221Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f12daafd-17db-4209-a1ac-62950037466f","year":null},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:af5501ea0eb8c6f115189e38138fea3113fd35547e1a323cb22fc10e7568d275","observation_id":"54e1b1e1-5997-4cc8-a629-1fa38056403b","resolution":{"observed_at":"2026-05-24T06:59:03.279546Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"34baaf2c-9df7-4e60-bb4e-9bfa9f9b002c","year":2013},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:8b153beca80555b98f1b4e72140af5c451e8ab70d85653d5a27b1a310eb16fb2","observation_id":"61b30444-372e-49f7-82a3-6f6f4e9968f1","resolution":{"observed_at":"2026-05-24T06:59:03.234559Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/1.9780898719598","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T18:58:49.672825Z","title":"2000 , publisher =","venue":null,"work_id":"dbe22c99-9edc-40d5-81b6-62e566bdddef","year":2000},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:4a0055ea7769dc412dfcf7f3ec44352a7351f7f64d660a53c7022cecda048753","observation_id":"68a69112-fd9b-461f-a082-386a2c18b955","resolution":{"observed_at":"2026-05-24T06:59:02.675116Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-05-20T13:52:32.85725+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-20T13:52:32.85725+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"62ff050a-8288-4851-9ed3-a7b70cd3bcb8","year":2005},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:ff0608df49a6ef1f8767db8a0c2748e66d0f8bab863f50c7612b341117e9c19a","observation_id":"81a005fe-89b0-4a89-9fd0-1a25caba823f","resolution":{"observed_at":"2026-05-24T06:59:03.338905Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"7255010b-a881-45bd-8bd0-59daa5d334da","year":1984},"citing_paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times","version":5},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-24T06:58:28.497532Z"},"links":{"citing_paper":"/paper/2309.02946"},"observation_digest":"sha256:e9bfbab74daadb995e190829ce224330682e918fa68ded0cb85ad1725e20319f","observation_id":"7300de3d-f3d4-4c00-bee7-0f120b70cf33","resolution":{"observed_at":"2026-05-24T06:59:03.271670Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2309.02946","last_updated":"2026-04-15T10:37:40Z","latest_version":5,"primary_category":"gr-qc","snapshot_observed_at":"2026-07-06T16:15:12.630540Z","submitted_at":"2023-09-06T12:25:40Z","title":"Numerical stability of the Hyperbolic Formulation of the Constraint equations for $\\mathbb{T}^3$ cosmological space-times"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":17,"verified_exact":1,"verified_fuzzy":13},"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":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"thesis":"As of 3 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2309.02946."}