{"as_of":"2026-08-12T22:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e2b203f34949d6774f5e37d2652e4dff9274a221c59070a5b33fb7981411f8cf","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T15:49:49.057630Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2507.14881/citation-record","integrity":"/paper/2507.14881/integrity","json":"/paper/2507.14881/citation-record.json","paper":"/paper/2507.14881"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:54.013845Z","title":"& Iserles, A","venue":null,"work_id":"7167b850-caf7-403c-90e9-23b9d5c8a1c1","year":2012},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:46.731654Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:47c2e78df1cf409459522f095df4d9b76cc5d7b6f60a6f87f6941a6c91129721","observation_id":"ca940db3-8da4-45fb-b22b-d5a05881fc6a","resolution":{"observed_at":"2026-08-06T15:49:54.076762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:53.884519Z","title":null,"venue":null,"work_id":"32a4199e-1477-4831-a5d9-ab3f9fb1247a","year":1965},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:46.801096Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:080a8822ef960d9d7b25c3393b12fb01639bbcd04c2be448605fb2d69aecd104","observation_id":"5e3350a7-0354-4fb5-abf0-37951d599928","resolution":{"observed_at":"2026-08-06T15:49:53.944207Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:53.754797Z","title":null,"venue":null,"work_id":"e83a04ad-47e9-49ac-9952-3e4086242232","year":1970},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:46.881617Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:53e7a6574c22319c4d9938770984076d93ecacc769193bf32446616433f79d8d","observation_id":"8f736a63-152f-4278-ba44-8a8b9b91c05d","resolution":{"observed_at":"2026-08-06T15:49:53.819747Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:53.636717Z","title":"& Piggott, M","venue":null,"work_id":"2a18fdd5-0835-4791-9143-f4923ba087f6","year":2003},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:46.950332Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:6f5c4d594eed5f452d23c8c9308fb50a78d73a9bdfba39fde3565ab7bfd55076","observation_id":"2c8faa36-f82d-4f02-adc7-6e383b465e90","resolution":{"observed_at":"2026-08-06T15:49:53.689595Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:53.475654Z","title":"& Song, L","venue":null,"work_id":"94635c5c-b450-4083-a0d0-56f8a3e234a5","year":2012},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:47.062123Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:f9e38e56f20583b0fe96a9e8ac25fb8e2e376004a479a17c1f5843a19a2f0345","observation_id":"8afcc76b-6144-4352-b8ec-6bad77881cf1","resolution":{"observed_at":"2026-08-06T15:49:53.540098Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:53.311132Z","title":null,"venue":null,"work_id":"8d97b794-d54d-4d75-923d-a3100213d65f","year":1990},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:47.141982Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:a44041f09063db04c94baa51c108c20bd0be3cc6807931ad35d38c804d284c5c","observation_id":"038b32d3-c407-4faa-8bb3-0e8e7161db04","resolution":{"observed_at":"2026-08-06T15:49:53.385761Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:53.187561Z","title":null,"venue":null,"work_id":"90fa540f-5d58-44ac-92fa-d627a0a045d9","year":2003},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:47.210471Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:d37acf4d142925ec7009ab4d72402adde2584ca258aa577dcec780d9e0582f92","observation_id":"3e292e9b-d456-4712-bb3f-70ae4055a5a3","resolution":{"observed_at":"2026-08-06T15:49:53.242512Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:53.049304Z","title":"2022, Appl","venue":null,"work_id":"0f6f7b5d-cb15-41b7-af8e-e8377904d486","year":2022},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:47.290181Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:9b5174a6e3d6f1333a2a9eea02298c15316b50eb61f8d3760d352bdf1e84480e","observation_id":"65b0a7b0-c471-47ae-8a56-a0c58e9ed087","resolution":{"observed_at":"2026-08-06T15:49:53.101150Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:52.900888Z","title":"& Read, J","venue":null,"work_id":"194d388b-fa92-43a0-87c7-e9b8c69df77f","year":2011},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:47.369663Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:a3a459581b4368db612a44d9370e042ca88678659e24d2d57ccfa68da5189a0a","observation_id":"e85770fa-338a-4a8d-95cf-8ec5c86a3bc8","resolution":{"observed_at":"2026-08-06T15:49:52.962682Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:52.688516Z","title":"1985, Proceedings of the 1984 Beijing Symposium on Differential Ge- ometry and Differential Equations: Computation of Partial Differential Equa- tions (Science Press)","venue":null,"work_id":"4c923d17-d43b-4a2b-aa67-52b8a6e98788","year":1985},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:47.450406Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:b402782eedbf9e6a772c68d1c67fa42975d2de748aa5223e37fb49500513400d","observation_id":"addad6ae-ac81-4c9b-bec5-bb2911b57090","resolution":{"observed_at":"2026-08-06T15:49:52.804118Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:52.520606Z","title":"2012, Int","venue":null,"work_id":"d5e18050-f00e-4115-b955-463aea66f28c","year":2012},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:47.520010Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:c696ac31d4d99ca110830d0d554e9c32ee5ed284fb3964a19b57ada5cf3cfd93","observation_id":"bc9fa7e6-929b-402a-8daa-ae6928518c9c","resolution":{"observed_at":"2026-08-06T15:49:52.588694Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:52.349794Z","title":"1997, Appl","venue":null,"work_id":"9c84ba73-c515-42d4-98f2-fe58051d59e9","year":1997},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:47.603573Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:b9242ba5d7174885d796979dddb01d5440e1e3e02deb902a6e3505aabb2edef5","observation_id":"577173d7-b5f0-4cb7-a906-56c5919a0cb4","resolution":{"observed_at":"2026-08-06T15:49:52.423892Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:52.180705Z","title":"2006, Geometric Numerical Integration, 2nd edn","venue":null,"work_id":"65788c1b-4ef4-472f-ac84-d99629db28b8","year":2006},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:47.675718Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:8ae0ff722b250f0218816220153d2b12e6ceb3fa39697caa21da9a8c0cd7f9a3","observation_id":"beda2b32-feaf-4fdc-860b-0418ee54dee2","resolution":{"observed_at":"2026-08-06T15:49:52.260336Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:52.027186Z","title":"& Leimkuhler, B","venue":null,"work_id":"6ff318ee-3b3b-47f7-b376-6ddb7768e18d","year":1997},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:47.761837Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:2b102e2271d07bdd4680131499c86b99a08427f2a179d2127e48e317bf0041fe","observation_id":"be05087b-787d-4bf7-a12e-b631cc03fda9","resolution":{"observed_at":"2026-08-06T15:49:52.101830Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:51.863309Z","title":null,"venue":null,"work_id":"b30161c1-a56b-45a3-bb63-3a50ea97ee68","year":1938},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:47.825123Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:ca89e4e70f21c5484895d1e145fc34e40b2882fb2d595879c0cf19c563766a64","observation_id":"3d743ecc-157f-46ca-800d-0b00c9156251","resolution":{"observed_at":"2026-08-06T15:49:51.918420Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:51.700409Z","title":"2021, Nonlinear Dyn., 106, 2919","venue":null,"work_id":"8fa7dd5f-77ce-4c0c-b6cd-1794228f46ba","year":2021},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:47.890426Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:9824738cce9d42170071b2fdc291418cabde88a1345a5a506ad91b6b7ddaf209","observation_id":"91798366-14ba-4ba4-87ee-80bd7c76eeae","resolution":{"observed_at":"2026-08-06T15:49:51.775733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:51.533085Z","title":"2022, New Astron., 96, 101850","venue":null,"work_id":"cd532d0d-76d2-4984-ac85-73b19775bca3","year":2022},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:47.949437Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:2828ae807412c8386685837cfbe49f945baa634e864f3ae0ec0b6ac7c710ac11","observation_id":"1da2dd6b-3e9f-4df7-9fa3-010f13c52928","resolution":{"observed_at":"2026-08-06T15:49:51.613974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:51.411717Z","title":"& Murua, A","venue":null,"work_id":"a43f92eb-831e-465e-b954-508ce6dabb98","year":2009},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.006971Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:7a82e4aab8bdd2c2091741c28a3b3120bd73398973c2a7edd1efc97434291e5a","observation_id":"fc7871ec-6f42-42a3-99a9-ba833955fee0","resolution":{"observed_at":"2026-08-06T15:49:51.475480Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:51.279890Z","title":"& Pesch, H","venue":null,"work_id":"295a4f0a-a61f-421d-ac1c-2eec5066a3ff","year":1992},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.067192Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:3caab676f54891949146e321ae38ad271fca05256765dc33bb104372c3e3f5ae","observation_id":"79e9ad58-ce3f-4c38-abc2-1b3586939769","resolution":{"observed_at":"2026-08-06T15:49:51.342757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:51.153260Z","title":"& Tanikawa, K","venue":null,"work_id":"73ab7d36-fea2-44e5-b101-0ef623ce3f8f","year":1999},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.130970Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:a542461ed48e8af99847713b5405678b32eefa4e282bfeae207300e8cfbc3870","observation_id":"7517d3b4-75bf-4d47-9760-44581669c3d0","resolution":{"observed_at":"2026-08-06T15:49:51.208489Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:51.041317Z","title":"1977, Celest","venue":null,"work_id":"052b32e8-03d6-4581-b697-f3338c15dbda","year":1977},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.197438Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:c1c259aa143da68eeefd4a29917e10b3d789e16672c6f52cce3ba531da6bec40","observation_id":"79b3ea6a-abe2-4271-9b6d-125a2f31077c","resolution":{"observed_at":"2026-08-06T15:49:51.111083Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:50.891463Z","title":"& Wright, S","venue":null,"work_id":"9e5ec68f-9814-4cdd-8c42-5118f90ecdf2","year":2006},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.264423Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:411ffe771a079d43232898cd63f5657a763a28ae6f4054ccaf6a549108afe6fa","observation_id":"0ef43397-5464-4f9a-a5aa-cb924a26d6c2","resolution":{"observed_at":"2026-08-06T15:49:50.957660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:50.757413Z","title":"2019, IEEE Trans","venue":null,"work_id":"c2b1802b-ed75-42ef-b57a-87241ab782d9","year":2019},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.322521Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:3d08e7efaeceb1e24922bcac60c37435e4b4a68ed5321410fa13aaaf96bf7eb5","observation_id":"f7963784-b796-46dd-87c1-38d14146faad","resolution":{"observed_at":"2026-08-06T15:49:50.823893Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:50.626973Z","title":"2023, Appl","venue":null,"work_id":"a616c9b0-87c3-4566-8e6e-6f38d27ef861","year":2023},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.396234Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:c5ac3ae7ba5be13ac8ccf01f586ffab2958fa807fdbaf16c30b9dab08f1987fb","observation_id":"d51d2b84-4013-4ced-85e1-a680f67ec5fd","resolution":{"observed_at":"2026-08-06T15:49:50.692325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:50.476439Z","title":"2020, Multibody Syst","venue":null,"work_id":"eda23b39-faa2-4ea1-a970-9e00668c3cb1","year":2020},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.470887Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:5465ef412027df09d90cbe578d1d959a4f53f483df1c0275ffcbdf38771f4b1c","observation_id":"72d3ca2e-b759-4f11-9a70-6debe84dd6ca","resolution":{"observed_at":"2026-08-06T15:49:50.541117Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:50.341498Z","title":"& Tremaine, S","venue":null,"work_id":"06a4cc7b-ab0d-42b0-9681-5212533d78b4","year":1999},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.534141Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:7de5c9704108ecf46df9bd454e0d84c6a0c2fb39d6a4293d40c3c03f067ac6d8","observation_id":"59e9e58a-563a-4a80-b98b-ed1a5c4875c1","resolution":{"observed_at":"2026-08-06T15:49:50.402614Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:50.195921Z","title":null,"venue":null,"work_id":"1babad4a-df9d-41d6-9d55-9ee7049379f4","year":1983},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.588077Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:fb9194fa9a4f96af9e684f257f55fdc542c30ca18615da300811d164f3576efe","observation_id":"73ee55c6-c763-450e-9844-6a9f9a49430f","resolution":{"observed_at":"2026-08-06T15:49:50.277289Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:50.062815Z","title":null,"venue":null,"work_id":"24cb23ee-dee8-42a1-94dd-877b0324708e","year":1984},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.662677Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:5493f376ef363bab089f8d1820666f9592a6d72dbba6540f1cd8dc8d2a9dd5ec","observation_id":"06920b43-9217-4673-9f62-7690a5eecf75","resolution":{"observed_at":"2026-08-06T15:49:50.122981Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:49.913150Z","title":"& Morrison, W","venue":null,"work_id":"65ccc2db-bdcf-494c-83aa-b11ce13aba94","year":1950},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.728231Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:29572d9e792a0e4fcf2598e4f23f605fdc52f8e58224b32e9e506386dad8773d","observation_id":"96803876-ffaf-44e2-ac92-34f6ad0a3f1a","resolution":{"observed_at":"2026-08-06T15:49:49.997028Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:49.772955Z","title":"2020, Nonlinear Dyn., 102, 1375","venue":null,"work_id":"cc9d8de2-e54f-4d76-96a4-d1d56d68b9f8","year":2020},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.802300Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:1cb16687f67373cdeb43c51f05688cc39487dbaad8c1c581a219599ac5edc6dc","observation_id":"0a5e6d72-9d9c-462e-a742-a4f541147104","resolution":{"observed_at":"2026-08-06T15:49:49.849128Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:49.607393Z","title":"2005, MNRAS, 364, 1105 V ogelaere, R","venue":null,"work_id":"29f56a12-cd7f-45a3-b13d-11f61299835e","year":2005},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.866315Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:34211dee0bd2329b234c1819815bb2054d80f3654be9865ddd348cf1fad35241","observation_id":"d1fcbdc7-d4d6-46cf-96f1-fa3f4d3cb14b","resolution":{"observed_at":"2026-08-06T15:49:49.690840Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:49.478259Z","title":"& Nitadori, K","venue":null,"work_id":"2e2bc156-194d-4842-b6ff-1cf5479adaf7","year":2020},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:48.925840Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:0fa16b0a145d52ad9c4b76b873d1faeb2142799b81d44bc709795603a6317606","observation_id":"28781aad-46c7-48f0-b1d8-0d739ce66779","resolution":{"observed_at":"2026-08-06T15:49:49.542126Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:49.316151Z","title":"2020, MNRAS, 493, 3398","venue":null,"work_id":"f6f94084-5a5b-48c4-a49b-3e150b9824ad","year":2020},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:49.004202Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:4faa1c4e1220486011d51ad7ed19e55dbbdcd2c83fb6b686c8f3571fd650b98d","observation_id":"39cfc54c-4224-41e2-a64a-359c8d0a4935","resolution":{"observed_at":"2026-08-06T15:49:49.399055Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:49:49.178469Z","title":"2021, AJ, 907, 66 Article number, page 8 of 8","venue":null,"work_id":"4f7adb0e-e214-4689-8f90-c60952fc2b3f","year":2021},"citing_paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T15:49:49.057630Z"},"links":{"citing_paper":"/paper/2507.14881"},"observation_digest":"sha256:8053645efe3ce5ba1fd327cf5b1cd59edc8b184e0a3193332531a2bd96b53d62","observation_id":"49c96ab1-a078-497b-bc50-3d51440b5bb9","resolution":{"observed_at":"2026-08-06T15:49:49.240397Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.14881","last_updated":"2025-07-20T09:49:41Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-06T15:42:54.486661Z","submitted_at":"2025-07-20T09:49:41Z","title":"An adaptive symplectic integrator for gravitational dynamics"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":0,"verified_fuzzy":27},"total_outbound_references":34},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2507.14881."}