{"as_of":"2026-08-15T20:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b191d4563988657b4d64793bc751b0e5961cff311b1cb8c9f16eb0c8efb3698c","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T15:12:33.730324Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/2502.01496/citation-record","integrity":"/paper/2502.01496/integrity","json":"/paper/2502.01496/citation-record.json","paper":"/paper/2502.01496"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T15:12:33.584557Z","title":"A Hierarchical O(N Log N) Force-Calculation Algorithm // Nature","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.584557Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:4892cf0de79d14aadfb43e78ad34c0606555943b37b64c2a4eb6118ddb290f75","observation_id":"0ec4574d-9dd1-46ae-9296-3a9ff615e2f2","resolution":{"observed_at":"2026-08-09T15:12:33.584557Z","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":"1997.5706","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T15:12:34.435108Z","title":"A Fast Algorithm for Particle Simulations // Journal of Computational Physics","venue":null,"work_id":"877af71a-7c76-48df-9d19-e646f3339ead","year":1997},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.589247Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:42ad6cdc8dafb515937e54f6931fc15abf7ac2d4e623be35621007af6e8555b7","observation_id":"144820e3-983e-469b-8a4d-57f36d2ecafb","resolution":{"observed_at":"2026-08-09T15:12:34.440582Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:33.593161Z","title":"A Comparison between the Fast Multipole Algorithm and the Tree- Code to Evaluate Gravitational Forces in 3-D // Journal of Computational Physics","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.593161Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:130a41053af4a7e98eb2b02a85417195d2d080912f03940271a51c498202662b","observation_id":"2c83066e-4457-4966-9333-c467dc1f6bc0","resolution":{"observed_at":"2026-08-09T15:12:33.593161Z","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":"2026-08-09T15:12:34.535053Z","title":"A., Duraiswami R","venue":null,"work_id":"e4e48036-67c7-4c81-8544-28f7d0dfc440","year":2004},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.596427Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:c768ff4545635aa452b1eb079a7a820ea7ed938cac01a2ae14e99144da6eadd1","observation_id":"6b445d66-a2a8-4dc4-aee3-c6ad0bfc0a1f","resolution":{"observed_at":"2026-08-09T15:12:34.538491Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:34.525748Z","title":"Fast Multipole Method // Vestn","venue":null,"work_id":"33f6532a-a75e-407d-bbd2-42d76d85b2e9","year":2013},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.600351Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:2a122f9ab7bbf645bd7cc5c70d0d06d612cd72089bbe89fd6be78776874dc838","observation_id":"d35812e0-a2a7-42f3-913e-b8605a5fe6c6","resolution":{"observed_at":"2026-08-09T15:12:34.529221Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:34.516319Z","title":"Computer Simulation Using Particles","venue":null,"work_id":"7661ca1a-b96f-4e3a-9639-7229609629fa","year":2021},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.603713Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:6a227501bb5d8c7fdce173aeec1aebdf495a6eb8125d8370413f857e9616d976","observation_id":"073ccc47-1328-4a6f-bb8b-4fec9030e227","resolution":{"observed_at":"2026-08-09T15:12:34.519527Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1409.5981","last_updated":"2014-10-17T07:57:39Z","snapshot_observed_at":"2026-08-14T23:18:41.817211Z","submitted_at":"2014-09-21T13:46:42Z","title":"Particle mesh multipole method: An efficient solver for gravitational/electrostatic forces based on multipole method and fast convolution over a uniform mesh","version":2},"cited_work":{"arxiv_id":"1409.5981","doi":null,"metadata_source":"pith","pith_arxiv_id":"1409.5981","snapshot_observed_at":"2026-08-09T15:12:34.295905Z","title":"Particle mesh multipole method: An efficient solver for gravitational/electrostatic forces based on multipole method and fast convolution over a uniform mesh","venue":"astro-ph.IM","work_id":"ccdcae93-277d-4ef8-ae02-fb38694e486c","year":2014},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.607269Z"},"links":{"cited_paper":"/paper/1409.5981","citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:c8d9154e4c016c2d4c3d1da9b9bbbf7e51fe395511df23a54afa29a442940eb3","observation_id":"f47df362-edd4-4f94-8ec2-fc5ca6446abe","resolution":{"observed_at":"2026-08-09T15:12:34.300160Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:33.611332Z","title":"A Hybrid Fast Multipole Method for Cosmological N-body Simulations // Research in Astronomy and Astrophysics","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.611332Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:57aba00d3d79882826304f2fe773cfa00d93e9dff3ce7c339bfa1072c1b88269","observation_id":"8506182b-f539-4c28-8306-cd55e02210f1","resolution":{"observed_at":"2026-08-09T15:12:33.611332Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T15:12:33.614783Z","title":"A Very Fast and Momentum-conserving Tree Code // The Astrophysical Journal","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.614783Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:be74bdb50f08759865d6cafd9e00205b915f6b6111d8e4e57a23bab63f1913d3","observation_id":"223b0b2e-3889-4606-92b3-63cda8728e44","resolution":{"observed_at":"2026-08-09T15:12:33.614783Z","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":"2026-08-09T15:12:34.507165Z","title":"A Hierarchical (N) Force Calculation Algorithm // Journal of Computational Physics","venue":null,"work_id":"7f75185b-1151-4b9d-8164-c66486d53f50","year":null},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.618637Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:755df7678eca847e9c443709fe6581e1729dd5e6fe4487a4700623e1a453a5d1","observation_id":"61e5ce31-166e-45c3-88e7-ded8cf57cfe4","resolution":{"observed_at":"2026-08-09T15:12:34.510538Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T15:12:34.212393Z","title":"A Fast Recursive Coordinate Bisection Tree for Neighbour Search and Gravity // Mon","venue":null,"work_id":"59e25ef2-d996-4591-89f2-7a63af8408d2","year":2011},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.625267Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:0180c6dd99a18b1fc6dd684cbab25c528003872d43079e9d0f13fe06c2fea287","observation_id":"100213f7-24f0-4b94-8efd-71a2f3c93361","resolution":{"observed_at":"2026-08-09T15:12:34.215996Z","resolver_source":"arxiv_id_nonexistent","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:33.628408Z","title":"A Fast Multipole Method for Stellar Dynamics // Comput","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.628408Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:32c65610101abf517c3afcfa60d6f2be18d8a8a1af0c43cb83e9defdbf7339f4","observation_id":"23dda126-1da2-44ed-9521-3635ff43727a","resolution":{"observed_at":"2026-08-09T15:12:33.628408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.08226","last_updated":"2021-08-10T20:44:58Z","snapshot_observed_at":"2026-08-09T21:16:54.682078Z","submitted_at":"2021-01-20T17:38:43Z","title":"Octo-Tiger: A New, 3D Hydrodynamic Code for Stellar Mergers that uses HPX Parallelisation","version":3},"cited_work":{"arxiv_id":"2101.08226","doi":null,"metadata_source":"pith","pith_arxiv_id":"2101.08226","snapshot_observed_at":"2026-08-09T15:12:34.180997Z","title":"Octo-Tiger: A New, 3D Hydrodynamic Code for Stellar Mergers that uses HPX Parallelisation","venue":"astro-ph.IM","work_id":"23c397ec-eac6-4cf6-9bf6-4a69da354917","year":2021},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.633040Z"},"links":{"cited_paper":"/paper/2101.08226","citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:6252391c05a327f3049b3bab38a3695b408a3962878fbb0f6e869da7efcb8446","observation_id":"536e5e05-1a72-41a5-87e7-02da25759861","resolution":{"observed_at":"2026-08-09T15:12:34.184721Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:33.636435Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.636435Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:ab3143f0a91ada5e32684a248680a92755a1423cf664fe41f46c44b6e61b2f26","observation_id":"4c33357e-c0b7-42bd-88f5-2a451e3fcca8","resolution":{"observed_at":"2026-08-09T15:12:33.636435Z","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":"2026-08-09T15:12:33.639198Z","title":"PKDGRAV3: Beyond Trillion Particle Cosmological Simulations for the next Era of Galaxy Surveys // Computational Astrophysics and Cosmology","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.639198Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:4d3bbede70dc756dd6c999e5b6679f68d01b6a41e0b0656384fa2bfd55f41304","observation_id":"fdbb97ed-d8e4-49f0-b222-bec3b45d8d07","resolution":{"observed_at":"2026-08-09T15:12:33.639198Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1012.1885","last_updated":"2010-12-08T22:31:17Z","snapshot_observed_at":"2026-08-15T15:47:29.930303Z","submitted_at":"2010-12-08T22:31:17Z","title":"Smoothed Particle Hydrodynamics and Magnetohydrodynamics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1012.1885","snapshot_observed_at":"2026-08-09T15:12:33.641992Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.641992Z"},"links":{"cited_paper":"/paper/1012.1885","citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:8e5b30123ca16cc4a8a7ef050f4657509bc4f6fb3466d85d769878be5169552f","observation_id":"6b03b8ae-5a37-4f51-b519-f9180b03d6e8","resolution":{"observed_at":"2026-08-09T15:12:33.641992Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1702.03930","last_updated":"2018-06-15T09:04:45Z","snapshot_observed_at":"2026-08-15T15:48:13.381043Z","submitted_at":"2017-02-13T19:00:02Z","title":"Phantom: A smoothed particle hydrodynamics and magnetohydrodynamics code for astrophysics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1702.03930","snapshot_observed_at":"2026-08-09T15:12:33.645014Z","title":"J., Wurster J., Tricco T","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.645014Z"},"links":{"cited_paper":"/paper/1702.03930","citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:6144c515531f64b44afac364e9f5c83a528ac40441f025365d1c921132b360c9","observation_id":"aaffebb1-6bb0-45b8-a7f3-c1856f98ef2c","resolution":{"observed_at":"2026-08-09T15:12:33.645014Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.10293","last_updated":"2018-05-25T18:00:03Z","snapshot_observed_at":"2026-08-14T19:11:00.491851Z","submitted_at":"2018-05-25T18:00:03Z","title":"Kinematic evidence for an embedded protoplanet in a circumstellar disc","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.10293","snapshot_observed_at":"2026-08-09T15:12:33.648712Z","title":"J., M´ enard F., [et al.]","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.648712Z"},"links":{"cited_paper":"/paper/1805.10293","citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:d3d62c578444610dbabdd251bff5d507f5829fd9845c9bedef528557c85222fe","observation_id":"cbd8f9b5-0fec-440a-8544-08e68bf92c89","resolution":{"observed_at":"2026-08-09T15:12:33.648712Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1901.03717","last_updated":"2019-01-11T19:00:15Z","snapshot_observed_at":"2026-08-14T17:32:05.020832Z","submitted_at":"2019-01-11T19:00:15Z","title":"Tidal disruption events: the role of stellar spin","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.03717","snapshot_observed_at":"2026-08-09T15:12:33.651772Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.651772Z"},"links":{"cited_paper":"/paper/1901.03717","citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:b9e58acb4aedaaac41d601ebd197523d520ee6bb87951d80a64a47b390022907","observation_id":"e46555a2-d101-461f-ab76-9fa29b04043e","resolution":{"observed_at":"2026-08-09T15:12:33.651772Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.11592","last_updated":"2020-07-22T18:00:02Z","snapshot_observed_at":"2026-08-14T12:38:20.876753Z","submitted_at":"2020-07-22T18:00:02Z","title":"On the orbital evolution of binaries with circumbinary discs","version":1},"cited_work":{"arxiv_id":"2007.11592","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.11592","snapshot_observed_at":"2026-08-09T15:12:34.047835Z","title":"On the orbital evolution of binaries with circumbinary discs","venue":"astro-ph.HE","work_id":"97319fb3-591e-40e6-a7f6-e6e77eeb961b","year":2020},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.655547Z"},"links":{"cited_paper":"/paper/2007.11592","citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:781421d9bda145c31037645947c34b2f2f054c845150647b0eec3f4b4e0a9f3c","observation_id":"4cd05d6b-6ab3-43fa-b383-1c5f0dced2de","resolution":{"observed_at":"2026-08-09T15:12:34.051497Z","resolver_source":"local_arxiv","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3390/particles5020018","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"I., Yudin A","venue":"Particles","work_id":"0a8fbd16-4934-42c2-be5f-b6aeb17f024c","year":2022},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.659121Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:55bcf398b2efd1eedd2cd45ac577638303df96e9d5488fafa583587c30ef550f","observation_id":"8dd9322e-a302-42c1-a296-63645b8cf780","resolution":{"observed_at":"2026-08-09T15:12:33.859467Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.20948/prepr-2023-40","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"S., Yudin A","venue":"Keldysh Institute Preprints","work_id":"52899f8b-be6a-4bc8-b9f9-94aa3fdb2827","year":2023},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.663448Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:057216a193d6ed6c3c3bb946ca4764a738a82ddea70da7d7de2feaaea1426c18","observation_id":"b3d75ca2-4de6-40a6-8ef2-e312d7491fe1","resolution":{"observed_at":"2026-08-09T15:12:33.846375Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:34.497930Z","title":"Merging and striping regimes in close pairs of relativistic stars: prospects for models of short gamma-bursts // Izvestiya VUSov (Radiophysics)","venue":null,"work_id":"b6a189a2-bf09-4172-acd2-a0fa155239bf","year":null},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.666714Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:ca94a534fc74287e2ea83cccd315bf993a5b8e45b757657350c297baa2bb0128","observation_id":"69e23a1c-a4a8-40a5-acc8-be4d9df99aba","resolution":{"observed_at":"2026-08-09T15:12:34.501075Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.20948/prepr-2024-43","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Keldysh Institute Preprints","work_id":"71d52740-1fb8-4674-ae6b-7814e6ed1300","year":2024},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.674693Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:a36459b48c62793b8a1080006deb90a82b53868b40d39fdeaaaa4c8b9cea4e68","observation_id":"29f56f34-90cd-4fa0-ae29-4af787d7021f","resolution":{"observed_at":"2026-08-09T15:12:33.825226Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T15:12:34.032373Z","title":"J., Monaghan J","venue":null,"work_id":"fb53960b-ca7c-4ef2-a7ff-1626abfc245f","year":2007},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.678324Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:58bb449935d52dd444220110e493fa6af9a91e392e33579f20c1ed9cc60c4a42","observation_id":"49c7980f-8e28-445c-9a1c-fe2799be4578","resolution":{"observed_at":"2026-08-09T15:12:34.038023Z","resolver_source":"arxiv_id_nonexistent","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:34.488634Z","title":"Green’s Function of the Laplace Operator","venue":null,"work_id":"e8707009-5b3f-41f8-9b3d-e6422bbf36d4","year":null},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.682056Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:a8b491a942ee4a9324db193838c5d7f9cd16f8d39b2bd907e28403f207e8f26d","observation_id":"efb43a7f-eea9-43f4-b8b1-833af3708f0d","resolution":{"observed_at":"2026-08-09T15:12:34.492310Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:34.477567Z","title":null,"venue":null,"work_id":"50bba06c-9d9d-497c-8c74-1ec590d0d770","year":2002},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.685437Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:5bfce87e37a02b11a105cbf6fd6beaf408ede3291401a39a9f330a5e65e41d23","observation_id":"8e6a93ef-43d3-441c-91fb-733f7ef5713b","resolution":{"observed_at":"2026-08-09T15:12:34.480837Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10543-017-0658-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"BIT Numerical Mathematics","work_id":"2c80422d-40cb-4306-89f9-97e0be57d991","year":2017},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.688684Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:aeb24ba39947f1f2737c144918df956103c0011c67032570add5e6effe5fd991","observation_id":"26138df4-5f1c-43c0-9762-97e982bb8bb9","resolution":{"observed_at":"2026-08-09T15:12:33.814204Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.11738","last_updated":"2021-05-28T12:27:00Z","snapshot_observed_at":"2026-08-13T20:23:57.186061Z","submitted_at":"2021-01-27T23:06:53Z","title":"Probabilistic Error Analysis For Sequential Summation of Real Floating Point Numbers","version":2},"cited_work":{"arxiv_id":"2101.11738","doi":null,"metadata_source":"pith","pith_arxiv_id":"2101.11738","snapshot_observed_at":"2026-08-09T15:12:33.995767Z","title":"Probabilistic Error Analysis For Sequential Summation of Real Floating Point Numbers","venue":"math.NA","work_id":"13fd531a-9817-4d45-98d2-75b8bda29c73","year":2021},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.693247Z"},"links":{"cited_paper":"/paper/2101.11738","citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:132443dc79109c0abebc8956d51d37cbd8588902602a17b8eab381a9a9f52e33","observation_id":"ce66a480-fdd1-45e5-87f2-d03ab71132e5","resolution":{"observed_at":"2026-08-09T15:12:34.000021Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.01604","last_updated":"2021-07-04T12:29:18Z","snapshot_observed_at":"2026-08-13T18:52:26.804876Z","submitted_at":"2021-07-04T12:29:18Z","title":"Deterministic and Probabilistic Error Bounds for Floating Point Summation Algorithms","version":1},"cited_work":{"arxiv_id":"2107.01604","doi":null,"metadata_source":"pith","pith_arxiv_id":"2107.01604","snapshot_observed_at":"2026-08-09T15:12:33.978708Z","title":"Deterministic and Probabilistic Error Bounds for Floating Point Summation Algorithms","venue":"math.NA","work_id":"2d992380-f340-40a6-a2d6-e457105114f3","year":2021},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.696783Z"},"links":{"cited_paper":"/paper/2107.01604","citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:1953e74b9f331a4e5e3fb7fa8bcd484b62f72dd04817af2237891236ff1fc515","observation_id":"7ab56bd9-bdec-4c49-99d5-2718c45f3038","resolution":{"observed_at":"2026-08-09T15:12:33.984040Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:33.700271Z","title":"A., [et al.]","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.700271Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:b7247fefa07857594474a03610318cc3d3758ffb62157d36e013e2052b488357","observation_id":"e302bee7-bb4a-43b2-b085-96ce7a883a53","resolution":{"observed_at":"2026-08-09T15:12:33.700271Z","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":"2026-08-09T15:12:34.467276Z","title":"Diffusion","venue":null,"work_id":"1e0e9ad7-767d-47e9-9cf2-f3a68e8a9e2f","year":2016},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.703828Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:410b5a85e41cc02cee551b84bc8538d8fe778592adb1a259b02d8fbac5916d4e","observation_id":"de9951d9-e8f5-43d9-a38f-18dbf0265cae","resolution":{"observed_at":"2026-08-09T15:12:34.470485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/0907039","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"C., Monaghan J","venue":"SIAM Journal on Scientific and Statistical Computing","work_id":"a8c1688a-c08b-4b7c-a328-31f7cb4d50ff","year":1986},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.707191Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:d712fd10338465dd1ae0c9d1e322b97e726e6cdf662b02bf2390a4f0634762c4","observation_id":"f334d1a8-5148-4c07-bb83-89f35eb28641","resolution":{"observed_at":"2026-08-09T15:12:33.802883Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:33.710501Z","title":null,"venue":null,"work_id":null,"year":1950},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.710501Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:2ace868d0fb119e7e43fa26e2bb5ae97cb9d8ff46c546fcf316b1c2ebdebf8da","observation_id":"911119c7-4158-469b-97fd-17683a61a620","resolution":{"observed_at":"2026-08-09T15:12:33.710501Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T15:12:34.457120Z","title":"K., Hebeler K., Lattimer J","venue":null,"work_id":"36691118-9b06-4863-b6db-c14438a92a5d","year":null},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.713988Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:8b9d5fe9ee8ff91c474717ce2c5d702095ea0adea848bbbd4bbe945f9e4c4c3b","observation_id":"ffc214df-441e-4d13-a776-e4b851698ded","resolution":{"observed_at":"2026-08-09T15:12:34.460742Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:34.447281Z","title":"B., Novikov I","venue":null,"work_id":"df654a8a-822e-4237-b390-3677cf0a601b","year":1967},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.720699Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:b72b7d1269947f22022ec4714e29e53c055b76ff81e714ee225bf6976b0f3690","observation_id":"638d9580-90ee-4a99-94d4-93ef2c151679","resolution":{"observed_at":"2026-08-09T15:12:34.450624Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/qam/15914","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Quarterly of Applied Mathematics","work_id":"bcf2b9d3-d3ad-47f5-9ebf-4b847436c91c","year":1946},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.723940Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:54acad631a1cf24f524e028638fb189d3e60adb3d562331b4223c2c0c5ebe777","observation_id":"e9ab8a3d-e903-4adf-9b81-c514889cc7e5","resolution":{"observed_at":"2026-08-09T15:12:33.776836Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:33.727254Z","title":"SPH Methods in the Modelling of Compact Objects // Living Reviews in Computational Astrophysics","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.727254Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:83a8db98a942598053c132fa86d3d8333bbd22634649fb2088ca7480d25df58e","observation_id":"30117bb1-1689-4102-9744-8ecf08dea29a","resolution":{"observed_at":"2026-08-09T15:12:33.727254Z","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":"10.3847/1538-3881/aa7b2f","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"The Astronomical Journal","work_id":"85adaf27-f05c-49ff-acef-a529344937da","year":2017},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.730324Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:0c40fc98d8277d6add3ddf7b17b908ee6044168b3763e57ee7ea7e00b803396d","observation_id":"4434a8c4-ba0a-45d6-87d9-28ac502cf67b","resolution":{"observed_at":"2026-08-09T15:12:33.760694Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-09T15:12:33.622093Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":2002,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.622093Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:fbd3e8409b7b49ef3af01847dba02ab25e5db6c425e7b3e13b1feec8c092572e","observation_id":"f005b69c-39d8-4283-bca7-f0b6b8286fc7","resolution":{"observed_at":"2026-08-09T15:12:33.622093Z","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":"10.3847/1538-4357/abaf55","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"The Astrophysical Journal","work_id":"80d38087-62d5-4f32-993d-5d93b9f15275","year":null},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.717183Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:a24b0913eca34e2b675062a3d8da3b0e68723711ad0f8508ff491944d1f847ff","observation_id":"d153b622-2417-4e70-95e8-1a94ee82167a","resolution":{"observed_at":"2026-08-09T15:12:33.785545Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.52452/00213462_2023_66_09_720","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Izvestiya vysshikh uchebnykh zavedenii Radiofizika","work_id":"295cd419-5e53-4018-81ce-197007daa40a","year":null},"citing_paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-09T15:12:33.670528Z"},"links":{"citing_paper":"/paper/2502.01496"},"observation_digest":"sha256:42cd1fe3ba889401da44ece1b411452e13a64dd098f4fa908295fd13e7e23e73","observation_id":"45a5ea81-524b-445f-8261-2d8115a0c50b","resolution":{"observed_at":"2026-08-09T15:12:33.835967Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.01496","last_updated":"2025-02-03T16:28:49Z","latest_version":1,"primary_category":"astro-ph.SR","snapshot_observed_at":"2026-08-15T15:48:18.982419Z","submitted_at":"2025-02-03T16:28:49Z","title":"Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":3,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":14,"verified_exact":15,"verified_fuzzy":9},"total_outbound_references":42},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2502.01496."}