{"as_of":"2026-08-13T14:00:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9940a81b243ff04c8df2bfddba38a7ad782b322ed6b96b4d49d1ba181700d97b","coverage":[{"denominator":63,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":63,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T13:10:57.201076Z","state":"measured"},{"denominator":63,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":63,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2411.16488/citation-record","integrity":"/paper/2411.16488/integrity","json":"/paper/2411.16488/citation-record.json","paper":"/paper/2411.16488"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:10:58.684187Z","title":"Figure 3(c) shows the heat transfer rate as quantified by the Nusselt number, Nu","venue":null,"work_id":"c1ef8f35-cd44-4983-bfa3-87b0cd6cba6c","year":null},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.721314Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:2ce0468874fe01dc26137bb9e7bdd368af044174f7e76e877957303d47a35ac9","observation_id":"61b431e3-d12f-4f93-9020-79a3c73b9ee0","resolution":{"observed_at":"2026-08-12T13:10:58.690805Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.666898Z","title":"Salmon, Lectures on Geophysical Fluid Dynamics (Oxford University Press, 1998)","venue":null,"work_id":"a7cfeb20-2bc7-48e7-86a8-a16e7ab361b8","year":1998},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.729573Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:a39bb8a86da8435d80d04c6fa4e6c86c8123db481d622bf5023b2cb00824cdf2","observation_id":"9aed5025-3dcc-4912-af97-2614edd2638f","resolution":{"observed_at":"2026-08-12T13:10:58.672036Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.649618Z","title":"Zhong, D","venue":null,"work_id":"2fe6a89c-0034-4e7a-b52d-43bbded21757","year":2009},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.736963Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:d86316bee90d5713b273119540407a852f8c70b7033419953b99bd9408ed0d5d","observation_id":"319bcce4-a72c-425c-81d3-f46647521c92","resolution":{"observed_at":"2026-08-12T13:10:58.655225Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.627707Z","title":null,"venue":null,"work_id":"f2f485d5-c9c0-47e4-a29e-75145420ece3","year":1972},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.745474Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:8ff0ef5325e85b66ae87421ae5a753481f92152d8056bc7e69768c1c3a8b2750","observation_id":"5038750e-507b-4506-b77a-757add6e5917","resolution":{"observed_at":"2026-08-12T13:10:58.634123Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.605280Z","title":"Zhang and A","venue":null,"work_id":"7965f22c-85c4-4e7f-bad3-cfc1992bb4c6","year":2000},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.752597Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:a9f02b0f9456788d960f707073227c7ca86ad8ca7d74604b9b424d64a39a63bc","observation_id":"316c7a20-d90b-45c8-88dd-6f1f4770df81","resolution":{"observed_at":"2026-08-12T13:10:58.612528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.586053Z","title":"Zhong and J","venue":null,"work_id":"0dedd307-3b7f-40ca-b9d0-a66a7dde9490","year":2005},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.758067Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:b673f1a43d970604fbe099c656d7d4facfff6cdb8f4f00da01f733f15aaee468","observation_id":"ed1c69bb-7ef7-4271-bd3c-134741d78427","resolution":{"observed_at":"2026-08-12T13:10:58.592964Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.567385Z","title":null,"venue":null,"work_id":"36209a7b-17a8-489d-9d6f-bc2e989424ba","year":2015},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.766292Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:ef36a3f5222cdb9f0f354fcde658680e748e7c263481997371edf2b55d460fde","observation_id":"880a4bde-71e5-417f-a166-d656c35e8830","resolution":{"observed_at":"2026-08-12T13:10:58.574178Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.544009Z","title":null,"venue":null,"work_id":"4e175d66-b44f-4d3a-99cd-28313c065698","year":2018},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.777861Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:2803363ab997e37d4897280c862851ae5e9b9ebf131ef0a96cc54017a9c3019b","observation_id":"f85f1b77-57c2-4c70-a427-449f5c06ee2f","resolution":{"observed_at":"2026-08-12T13:10:58.551863Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.520193Z","title":null,"venue":null,"work_id":"71d656c2-eb7a-42ad-bd92-f4b7f1763483","year":2020},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.786510Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:2a5ac9e44c6e3c3332f0de247fd6d6eacf275daa8fc321b41c810feff6154bb5","observation_id":"d20f493b-4659-48c2-914d-15198d542510","resolution":{"observed_at":"2026-08-12T13:10:58.525479Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:56.792100Z","title":"McCurdy, N","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.792100Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:64c66e077784d4a5306f56ef7c81e7c3acc91def7f5562026ee9f46c3428a16d","observation_id":"add01a09-111a-44cb-a2bf-6b2427380bb8","resolution":{"observed_at":"2026-08-12T13:10:56.792100Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:10:56.804607Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.804607Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:c4d61911d4fd949711b0b44a01580af7adec6c0ca32443597e2b271499a99013","observation_id":"969fef75-5d62-4935-b8bb-c683a2d4ba5f","resolution":{"observed_at":"2026-08-12T13:10:56.804607Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:10:56.816056Z","title":"Ahlers, S","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.816056Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:aa9747127f1848963ec3b6d239010df52ce77f6cabb196e0d09f48cc582a633b","observation_id":"1c750713-5619-4a28-96fd-06eef89f36ef","resolution":{"observed_at":"2026-08-12T13:10:56.816056Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:10:56.822524Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.822524Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:dcf8bc3c709cc74a7d3463755fd306c04cc2cfa3c34f14643ef3983933f739e2","observation_id":"87f7d83d-a7f6-4ba0-8a0b-992059e23c91","resolution":{"observed_at":"2026-08-12T13:10:56.822524Z","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":"2026-08-12T13:10:58.440375Z","title":"Funfschilling, E","venue":null,"work_id":"15e72fd4-be18-4751-941c-681e3f340538","year":2005},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.833122Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:79482ea59e30a3d64326c303c7a2b26ee87aca61efb99b2946f6a4f15c3687da","observation_id":"fd189f85-cdb0-4bf2-b2fb-5fa0fd7c7165","resolution":{"observed_at":"2026-08-12T13:10:58.449611Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.403167Z","title":"Belmonte, A","venue":null,"work_id":"6d2f3294-a6fd-4e06-a253-f3f7fc2c7744","year":1994},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.839003Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:11012ccd8d8ccbf3323146e8a59dd4623f157460a9f22c45c83845767b5a7d8b","observation_id":"9d6d6247-181f-4c55-ab20-7791731b23a3","resolution":{"observed_at":"2026-08-12T13:10:58.411008Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.369932Z","title":"Johnston and C","venue":null,"work_id":"960e7f60-66a7-4a92-8da9-a992d1396c78","year":2009},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.856206Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:6f5a0215da12c743c1567aa7132835dd51196240b12fd26d5ca2652b81ed807f","observation_id":"10e46808-18a2-4083-95a8-c328b3e4082c","resolution":{"observed_at":"2026-08-12T13:10:58.378392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2022.1035","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:10:57.481582Z","title":null,"venue":null,"work_id":"61dab761-7bed-413b-b511-a376cd55453f","year":2022},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.864913Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:2073f32a59aeb4852ac6fdd62682e3b8d2f9f28990251d95adcda796bf374a85","observation_id":"84b28f9b-1123-4e8d-a29b-f9296e508822","resolution":{"observed_at":"2026-08-12T13:10:57.491431Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.348722Z","title":"Vieweg et al","venue":null,"work_id":"b71f2c76-abb0-4319-8a03-32121a98a4e8","year":2023},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.871863Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:0df9b9904dea56bba19e160ef867ff0015a8005938dfa54fae3955543f7e5efb","observation_id":"24e4d5d6-641c-4935-b17f-b7c6e5610b91","resolution":{"observed_at":"2026-08-12T13:10:58.354398Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.328243Z","title":"Castaing, G","venue":null,"work_id":"c14da85f-83ea-4d82-8a34-bd19c4f119f6","year":1989},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.880744Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:04eb4f88985572086880fa17468481864b661d594da15477ec35b7fa8984244b","observation_id":"8c7f2912-becb-4977-afca-468b82662ed7","resolution":{"observed_at":"2026-08-12T13:10:58.333733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.308153Z","title":"Grossmann and D","venue":null,"work_id":"0becda97-6e52-4f20-92df-569070659190","year":2000},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.888178Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:8db39cb52e0fca381ce605f55f9c18aea6ea61e84d1d682aba3be342c5edde6f","observation_id":"96fc3695-9df2-443e-855f-5f0634d9371b","resolution":{"observed_at":"2026-08-12T13:10:58.314685Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:56.898259Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.898259Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:a1cb3acef5f5a488530e448dc9151fdb4408f737f9756e17cccf9663a6f28fd9","observation_id":"6e3aecc6-85a7-404a-950a-2fd90a4bea0e","resolution":{"observed_at":"2026-08-12T13:10:56.898259Z","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":"2026-08-12T13:10:58.277407Z","title":null,"venue":null,"work_id":"75877664-cf86-4be8-8300-436e7e029279","year":2020},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.909424Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:2da8878e70e0c9be93d0a629b03017529d9525997ed3ea6c154c77a63328c1b7","observation_id":"1a1d80ab-7348-4525-8c6d-6b394b834953","resolution":{"observed_at":"2026-08-12T13:10:58.284365Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.257708Z","title":null,"venue":null,"work_id":"2574cf64-e0e5-4e49-801b-42b04b45f2bf","year":1975},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.915404Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:c6bc2bf0efc1f7df13756e491c57d76792bfb8883d50890a97710164cc28049b","observation_id":"2b3dbd25-5342-44c6-b499-ff00f094d2c0","resolution":{"observed_at":"2026-08-12T13:10:58.263536Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.238176Z","title":"Gorman, P","venue":null,"work_id":"91f6dd0e-09dc-4fb7-b5c5-3e377c186414","year":1984},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.921461Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:646d211394a5df4ebbaa68dc98b92734b5553cb89954c2a638fdf640051ad578","observation_id":"0ceda8da-4389-4923-b892-1db16451cfed","resolution":{"observed_at":"2026-08-12T13:10:58.243861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.217670Z","title":"Gorman, P","venue":null,"work_id":"62ce269e-4e80-483e-a80c-5229b28bf200","year":1986},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.929403Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:80c8b0204040e6aeb80961b00087639c11505507d1a37dce823f58a222a00408","observation_id":"512f0e76-dd23-4540-b17a-20d42155259c","resolution":{"observed_at":"2026-08-12T13:10:58.222867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.200974Z","title":null,"venue":null,"work_id":"b5124fcd-5fba-4c96-ba85-b826915ba9dc","year":2002},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.936182Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:89cf68f209d929230db0064da0456d372100f0f3e824ada18c1550e02689cf9c","observation_id":"84934684-1fac-4918-89ae-07d649d60b7b","resolution":{"observed_at":"2026-08-12T13:10:58.205962Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.176066Z","title":"Brown and G","venue":null,"work_id":"bfc16d2e-bcba-47e8-9369-43405bfdd35a","year":2007},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.943571Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:210b7ef9346fc67562f6fbe6192903bd7270047c200bdf350764a53007b74e49","observation_id":"b51243c5-649a-466b-8f8f-f6bcb35c4b8a","resolution":{"observed_at":"2026-08-12T13:10:58.186677Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.157432Z","title":"Xi and K.-Q","venue":null,"work_id":"0b0d9d15-3571-4e79-917b-30f6686c2cec","year":2007},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.950491Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:5e2e0ee451e69400dbfa09cc8ef1c87b4a0eda5669df449578450db99de32a6e","observation_id":"aaacd9f7-f234-46e5-97ea-f1db5b48bf75","resolution":{"observed_at":"2026-08-12T13:10:58.163983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:56.955763Z","title":"Sugiyama, R","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.955763Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:1bfa797f52f525bf4b31a565ba2ef717ab71ee14ea9da9a17f1ab57da3c10d69","observation_id":"ff3958bb-e062-490f-9619-a5c9bc3a8b52","resolution":{"observed_at":"2026-08-12T13:10:56.955763Z","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":"2026-08-12T13:10:58.122542Z","title":null,"venue":null,"work_id":"22698745-a8ad-4e10-93b2-2151a9912de6","year":2011},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.963259Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:efe0f18ced01d626411340e542fede9aac73112410b2688e8a2ead3be2ef6573","observation_id":"c8be3e1d-cd96-4a4e-9336-2c5fea6cfb76","resolution":{"observed_at":"2026-08-12T13:10:58.129348Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.105056Z","title":"Wang, P.-Y","venue":null,"work_id":"ee1be828-4975-4288-8ad2-47fd3c5c1ace","year":2018},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.972909Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:754a843781372fb9198b8caac0fc8856114fc6ce4a183ba908505a3ee6714c73","observation_id":"5d8b29aa-cfea-4eca-975e-7bb3841f7435","resolution":{"observed_at":"2026-08-12T13:10:58.110720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.084857Z","title":"Chen, S.-D","venue":null,"work_id":"b45c10c6-9bf6-44bc-ab41-9d5490d5cee1","year":2019},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.982598Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:aaa6dbce76a1fbf4b7c04701c94621e4842c9361006eae2b8453f84edd2e8d78","observation_id":"765dba10-26b3-430d-ac15-0a81edc12b3a","resolution":{"observed_at":"2026-08-12T13:10:58.090985Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.059370Z","title":"Chandra and M","venue":null,"work_id":"ddfa9211-a04e-4b95-98df-1881ae26c88f","year":2011},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.988163Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:772cb9d4f815c9d17cd1c2d6ad83193a780f27e6a238b6a0decb926dde53810a","observation_id":"ad1b4120-ee60-4203-bb35-bc8ada797a2e","resolution":{"observed_at":"2026-08-12T13:10:58.068047Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.032292Z","title":"Gallet, J","venue":null,"work_id":"e633367e-659c-44cd-a48e-e1a93d18d92c","year":2012},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:56.993823Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:61f54c4177fc5f47f9da79bc00560b3e49c4a3defef73e033c2e08e6ffa3a88f","observation_id":"921c9564-a914-4d37-a3a2-016e4688de6d","resolution":{"observed_at":"2026-08-12T13:10:58.037987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:58.001311Z","title":"Chandra and M","venue":null,"work_id":"92dd38f0-62f3-43a5-8199-a7d349c8904c","year":2013},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.001635Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:ec88435bf5e956c9ad5b5dfeb6b3c8ea4cfadb1f2c479dd71ddfb7db05d86dda","observation_id":"b4f9579c-a134-400a-9936-4657d8d34685","resolution":{"observed_at":"2026-08-12T13:10:58.009521Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.972117Z","title":null,"venue":null,"work_id":"0de2d4d9-7254-48cb-9e19-8f5d15e2dd2b","year":2021},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.010888Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:42f6e3862d885c634a5b6fd46a576185d0637bfdbf7647ece3d0135149cbb298","observation_id":"50a67e51-dc6c-4b07-bfa6-98ee40219a79","resolution":{"observed_at":"2026-08-12T13:10:57.978624Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.022327Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.022327Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:030b7fad13aba7c0e87f9a9514bbe28cd954f1215aefb8bfd1ebb0acd749dad4","observation_id":"87478103-d803-4ba8-92ac-c89de38a134f","resolution":{"observed_at":"2026-08-12T13:10:57.022327Z","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":"2026-08-12T13:10:57.938486Z","title":null,"venue":null,"work_id":"e9ac9033-d20a-4a46-a0c7-2c75891ab59f","year":2005},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.031885Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:1d77a185d10cb1a128982df3282437e5429745966cb49c4258866c5a6dc9aeea","observation_id":"09dab5c8-11c4-44ac-980a-58fbfd3ee6b1","resolution":{"observed_at":"2026-08-12T13:10:57.944063Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.037398Z","title":"Ni, S.-D","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.037398Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:1a946634e32cade2c903359b1737895c84d2c55b2ad995c5a792ea73a71337cd","observation_id":"bf74931e-b6f1-4b9c-8264-59d61260620b","resolution":{"observed_at":"2026-08-12T13:10:57.037398Z","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":"2026-08-12T13:10:57.897461Z","title":"Brown, A","venue":null,"work_id":"5469eb90-d6f3-4894-8118-68a70180d5fc","year":2005},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.043463Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:23a0a3e5872cb594d9f1325b20f9d422ac938eb1d6f0406bda774d17b6a7a940","observation_id":"912ebfa9-44e0-40d6-b375-e077413a29c1","resolution":{"observed_at":"2026-08-12T13:10:57.905888Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.881166Z","title":"Zhang, X","venue":null,"work_id":"afaf6f19-4355-40ee-85b6-752d32257e9c","year":2021},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.048932Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:2bc8acde182178f6a2f86e56392a4401af7234fd9d303fbf3a08868b2fc2aa20","observation_id":"5d37a928-466f-48ea-b0bf-d110fc4627bb","resolution":{"observed_at":"2026-08-12T13:10:57.886063Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.863007Z","title":null,"venue":null,"work_id":"9c0947cb-997e-42cf-afcc-419faea273dc","year":2024},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.053909Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:c14c3bd4523c4d38685ebece4928b05e723c1f456ba17bdf9b3c8cc5b3475c1d","observation_id":"57ee9524-13fd-4337-a9c5-05299953578d","resolution":{"observed_at":"2026-08-12T13:10:57.868940Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.843265Z","title":"Zhang and Q","venue":null,"work_id":"d0de1c00-6e7f-4e31-813d-f8e560289506","year":2025},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.058903Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:52fe7ec7cdef1a30cd154f2dbf0ad55e955cb7221a8c84452bec06e3bf708af5","observation_id":"27d58c9e-3b38-4f0b-b2b0-3d42daf58eec","resolution":{"observed_at":"2026-08-12T13:10:57.848292Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.823151Z","title":null,"venue":null,"work_id":"e7b0e845-21fd-4a16-b4fe-fce5af12f801","year":2021},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.064162Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:3a886ea799445b891fef3ccf3ba94dee645f33fa165595df1d2e9232d8562c32","observation_id":"6d77db99-34c4-4a9c-9c4d-55f13fcbbd3d","resolution":{"observed_at":"2026-08-12T13:10:57.828386Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.20907","last_updated":"2025-05-08T09:37:23Z","snapshot_observed_at":"2026-08-07T17:40:18.646296Z","submitted_at":"2025-02-28T10:06:32Z","title":"Effects of conjugate heat transfer on large-scale flow structures in convection","version":2},"cited_work":{"arxiv_id":"2502.20907","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.20907","snapshot_observed_at":"2026-08-12T13:10:57.329302Z","title":"Effects of conjugate heat transfer on large-scale flow structures in convection","venue":"physics.flu-dyn","work_id":"832f3722-e4d5-41aa-8771-de5da22a1d47","year":2025},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.069563Z"},"links":{"cited_paper":"/paper/2502.20907","citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:3f109b50e005570390423700fcaba2f54adedbc1e0a2887edafbc8f5d1af791c","observation_id":"b59fc251-7ee9-4098-86a7-205ebbe09868","resolution":{"observed_at":"2026-08-12T13:10:57.338092Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.802564Z","title":"Zhong, R","venue":null,"work_id":"05a7ee6a-8440-43b2-9d5c-85f0d1b8be62","year":2009},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.076490Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:72ee07c257c253bd77f87755794767bf32b2c0556ab5f05493a3fe76a30ebf2a","observation_id":"72aff55a-5590-4581-93b2-4539e5179959","resolution":{"observed_at":"2026-08-12T13:10:57.809052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.783386Z","title":null,"venue":null,"work_id":"6d5807ec-f66a-4ee9-a67c-ff8191140768","year":2009},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.081757Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:61669c76f03d395837ff901c0aa241b21976ac8a64a6c7aeeaf3c755000e4bec","observation_id":"99197004-c0f4-495f-ad24-9ddc525036f8","resolution":{"observed_at":"2026-08-12T13:10:57.788783Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.763529Z","title":"Ding, G.-Y","venue":null,"work_id":"cd048bf2-3baf-453b-8eb4-9fec7905bfbd","year":2023},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.087955Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:d3bf0b4a28ce0bf98bbc607fcc8b7142ad6c39732e39999c562f0c233b06b12f","observation_id":"c94fcb61-2d2d-43ef-9929-5c058cb96cc1","resolution":{"observed_at":"2026-08-12T13:10:57.769679Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.743605Z","title":null,"venue":null,"work_id":"db376b6e-76dd-4fe2-bdf7-b4b388bf61f2","year":2015},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.093119Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:bdf558940297a7690d795ef5c06869c57967c5ce0f38958c55eeb76fd3e9ab58","observation_id":"9167c37d-7d5d-4e43-909f-b69092f2dc04","resolution":{"observed_at":"2026-08-12T13:10:57.748727Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.724420Z","title":null,"venue":null,"work_id":"7313f2a5-10b0-4fa4-8848-95d49e2b7309","year":2024},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.098556Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:80989bfb616c185f395fa301d0f0565a13006510e14811ff5b655a4c22f1f79b","observation_id":"ddeaf021-d5e8-4a00-b296-31314b91de4e","resolution":{"observed_at":"2026-08-12T13:10:57.730529Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.704114Z","title":"Huang, M","venue":null,"work_id":"33c228cd-9dcc-43e8-9b21-d662ebbf44fa","year":2013},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.106008Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:4ae6d2b2ba5cfd00cd5d783fc056342e12473280b42ac5f3816eca90d4f38f9f","observation_id":"65008e73-7451-40c1-aa60-cfd93ac72842","resolution":{"observed_at":"2026-08-12T13:10:57.710334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.2403699121","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:10:57.294150Z","title":null,"venue":null,"work_id":"6a11d00e-c225-48ac-ba31-3fbd5059b3ec","year":2024},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.112464Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:7eeb3e3d0855d32f93ba4f3e09039b83b30b9bb894e61d7c47f39fa3b3c0ba32","observation_id":"dcaf0fd4-0030-4541-8d9c-c83e149cedbd","resolution":{"observed_at":"2026-08-12T13:10:57.299917Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.685059Z","title":"K¨ aufer, P","venue":null,"work_id":"43b2693e-5a46-4b4a-a499-a21f2bfed495","year":2023},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.117850Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:adb98e71331952c5d436ad85c25914a77186781be6c44a8646012b6aa81dbcc4","observation_id":"af0c4ccc-fdba-42cd-8e15-5ee09d0ad967","resolution":{"observed_at":"2026-08-12T13:10:57.690378Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.663181Z","title":null,"venue":null,"work_id":"2bafee55-dc96-4ea1-a734-385c824d4899","year":2025},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.125070Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:2544ee5ff990f15fd8ee3c6f12470aedca5ca5f88386320ac02f70ef57ed34ca","observation_id":"fa2361d4-4938-4d7f-a86f-ab9518e10fea","resolution":{"observed_at":"2026-08-12T13:10:57.669681Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.641165Z","title":null,"venue":null,"work_id":"d36a697e-c310-4894-94f8-5bca0f5ac928","year":2024},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.131828Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:f43de4622534e8b45b2749051e6a2c064f3159840493e796c602c3a98e0aea5f","observation_id":"36a81859-d742-457e-bffc-40b0f876db64","resolution":{"observed_at":"2026-08-12T13:10:57.647380Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.622296Z","title":"Peyret, Spectral methods for incompressible viscous flow , Vol","venue":null,"work_id":"94f6b466-fff4-46ec-83e1-9e1cc2e0eca1","year":2002},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.140731Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:7a2c3b6f09f6ad02e1e9d39e9df77442b85417742fb3ba6925c46bd5367d3925","observation_id":"0eae20e8-7f70-4c06-b6e2-4f14fde6a029","resolution":{"observed_at":"2026-08-12T13:10:57.627686Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.603468Z","title":null,"venue":null,"work_id":"cd3ded41-fdff-4f40-bc0c-a22b6315bb29","year":2021},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.147394Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:285d2cf945b2859b0daaa4fc4a09e1f352c3da60328c87c6639c471c695b4c93","observation_id":"025aacd8-8e0d-4291-91ce-8dc598197320","resolution":{"observed_at":"2026-08-12T13:10:57.609190Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.152500Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.152500Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:b2b53e57d19d99801d5c62e1b0a52a047fb69aec307fabe9eaf025e2f23132c6","observation_id":"ec1adc2f-3e52-4ca2-8483-e404bacef028","resolution":{"observed_at":"2026-08-12T13:10:57.152500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/jfm.2014.718","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:10:57.260918Z","title":null,"venue":null,"work_id":"0e8d75d0-ef64-4089-ae1a-7215e76b3048","year":2015},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.159902Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:53a9ee17651efcf477b1995e0ffb8fc8767b24df265961ed61a400c36f0b5dc9","observation_id":"b85522cf-c914-4689-bb08-1f9e4be77bc5","resolution":{"observed_at":"2026-08-12T13:10:57.272785Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.572270Z","title":null,"venue":null,"work_id":"26f951f6-5db2-4907-bee9-32b4beb8ddd4","year":2017},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.168291Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:0d87526d216b249ba4cb67d11768d1be85c883e1491a190acb683e9c71c812b2","observation_id":"429f7c8f-9909-4d91-b767-9c6ca2c3c263","resolution":{"observed_at":"2026-08-12T13:10:57.579064Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.555380Z","title":"Weady, J","venue":null,"work_id":"da84c821-eead-44ff-8655-cebb9d124ff4","year":2022},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.177008Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:9de4c2181dbde4a2b739d65b3be9d3b0dca83a676b2af6f3572180e47fa85db8","observation_id":"f596fb1f-33a2-4506-ba83-56a200f8aca2","resolution":{"observed_at":"2026-08-12T13:10:57.560289Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.534256Z","title":null,"venue":null,"work_id":"e8f6e0b8-cbdc-4f79-aa32-4e4e82d62c03","year":2022},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.193927Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:f22c2a5f26d03524e5614b2e4781429dc0f12c0952ffbf84bdd2811653e321b7","observation_id":"b31fa622-50de-4117-9329-4531508dc716","resolution":{"observed_at":"2026-08-12T13:10:57.540580Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T13:10:57.508206Z","title":"˙Zukowski, S","venue":null,"work_id":"9d858ed2-c361-46fc-a4d6-388d3824b3f8","year":2025},"citing_paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection","version":3},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-12T13:10:57.201076Z"},"links":{"citing_paper":"/paper/2411.16488"},"observation_digest":"sha256:540d744fe052088c795b8a5a67b997a188939afcfe1188d397fdd8b0e4f05469","observation_id":"0f200164-f8bf-434f-b765-93f04f22f841","resolution":{"observed_at":"2026-08-12T13:10:57.515747Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.16488","last_updated":"2025-07-23T04:59:08Z","latest_version":3,"primary_category":"physics.flu-dyn","snapshot_observed_at":"2026-08-13T07:17:27.720180Z","submitted_at":"2024-11-25T15:27:29Z","title":"Low-order reaction-diffusion system approximates heat transfer and flow structure in annular convection"},"reference_resolution":{"displayed":63,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":29,"verified_exact":4,"verified_fuzzy":30},"total_outbound_references":63},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 0 inbound Pith citation observations for arXiv:2411.16488."}