{"as_of":"2026-08-12T07:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fa335c6f6cf1305dd3f42434b3ec7116c331ba764858310bf6cd3492fe84f8fd","coverage":[{"denominator":21,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T22:42:23.288494Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"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/2607.15685/citation-record","integrity":"/paper/2607.15685/integrity","json":"/paper/2607.15685/citation-record.json","paper":"/paper/2607.15685"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T22:42:21.299605Z","title":"FVCA8 benchmark for the Stokes and Navier-Stokes equations with the TrioCFD code - benchmark session","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:21.299605Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:5e9f219e1827580e97a4bf069b7d58f503736baf0f2cee56b21174a84f2ef623","observation_id":"57a04f1e-4733-4f80-bbf1-507480446494","resolution":{"observed_at":"2026-08-01T22:42:21.299605Z","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":"2026-08-01T22:42:21.454914Z","title":"Studies in Linear and Nonlinear Programming","venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:21.454914Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:eb208089bba81dde16cc8782ed2ab557aaaf99911cddccb89145220943aa8875","observation_id":"4af1c00b-8b7c-4db2-894a-8a16779f823d","resolution":{"observed_at":"2026-08-01T22:42:21.454914Z","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":"2026-08-01T22:42:21.637209Z","title":"Benchmark proposal for the FVCA8 conference : Finite volume meth- ods for the Stokes and Navier-Stokes equations","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:21.637209Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:bbbe314d3b9acf82b608165e2c7bd96b06d830629aa0f552012733b43312ee51","observation_id":"54cec9e0-0c8e-4377-b15e-edd8a1eb72c2","resolution":{"observed_at":"2026-08-01T22:42:21.637209Z","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":"2026-08-01T22:42:21.815085Z","title":"Functional Analysis, Sobolev Spaces and Partial Differential Equations","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:21.815085Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:8dc3ef23b7394bbf9416fca512fa87caf9061ac117c02087421f7be7e44cb6ba","observation_id":"29e7da43-b0a6-4659-a76a-af9eedb57bcd","resolution":{"observed_at":"2026-08-01T22:42:21.815085Z","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":"2026-08-01T22:42:21.969973Z","title":"Numerical methods for the Navier-STokes equa- tions. Applications to the simulation of compressible and incompressible viscous flows","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:21.969973Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:08db1ea134744cba7826e9fec102970b9c45a5802eb861b83a896db8d5214428","observation_id":"5915ef82-3017-46b8-a78d-35bb6c9a68c3","resolution":{"observed_at":"2026-08-01T22:42:21.969973Z","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":"2026-08-01T22:42:22.127148Z","title":"Numerical Solution of the Navier-Stokes Equations","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:22.127148Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:53e312765d9dee8e7a1b16cd1538db366bf0154c1e4dfe85de93f9be101bff29","observation_id":"5a0b6073-2311-46e7-8b9b-fe861958e1ea","resolution":{"observed_at":"2026-08-01T22:42:22.127148Z","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":"2026-08-01T22:42:22.263486Z","title":"An Introduction to Frames and Riesz Bases","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:22.263486Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:b3baa644d8d0abbb373fcc4947b19dd682114dbae134b0b5ce3c7c959efdd2f3","observation_id":"06d34b30-843a-4ab7-bf1f-c1d5538b7d02","resolution":{"observed_at":"2026-08-01T22:42:22.263486Z","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":"2026-08-01T22:42:22.329539Z","title":"Numerical method for convection dominated diffusion prob- lems based on combining the method of characteristics with finite element or finite difference procedures","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:22.329539Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:a49ff2084bf2e98229476a4939437c032ddb0dbd04d518cdf64ef0dae7ae81b5","observation_id":"d5e1cb9e-8b55-41c4-a55a-dbcdc32ead94","resolution":{"observed_at":"2026-08-01T22:42:22.329539Z","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":"2026-08-01T22:42:22.385620Z","title":"Finite Elements and Fast Iterative Solvers : with Applications in Incompressible Fluid Dynamics: with Applications in Incompressible Fluid Dynamics","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:22.385620Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:d4b69d5bf492c90c2ce89e825e15f84ea8eeb44c47e149e2fe40fdd15bb47a51","observation_id":"8c8f92bb-ba71-4ed5-9f10-f0df5d495776","resolution":{"observed_at":"2026-08-01T22:42:22.385620Z","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":"2026-08-01T22:42:22.434646Z","title":"Augmented Lagrangian Methods: Applications to the Numerical Solution of Boundary-Value Problems","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:22.434646Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:94a509a6e367a58a3259534bcc5b160da21c68486472a483305d25c8c7c0aae1","observation_id":"f1e33565-ef9a-4432-960c-bffac75d495a","resolution":{"observed_at":"2026-08-01T22:42:22.434646Z","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":"2026-08-01T22:42:22.486049Z","title":"Elliptic Partial Differential Equations of Second Order","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:22.486049Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:37045f732282864c0afc631d61c44bec540fdb510592b0d6606b5383df9e0372","observation_id":"67c1b099-d4d5-47fb-a5f7-f29543d9fdbf","resolution":{"observed_at":"2026-08-01T22:42:22.486049Z","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":"2026-08-01T22:42:22.566640Z","title":"Finite Element Methods for Navier-Stokes Equations. Theory and Algorithms","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:22.566640Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:57a84adc7feb2836e3d95e88fdda813c21741a2f68981244dcb6ab41a52c77a3","observation_id":"defdab33-3610-4fd8-aa22-4cd26c5681e7","resolution":{"observed_at":"2026-08-01T22:42:22.566640Z","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":"2026-08-01T22:42:22.632336Z","title":"Numerical Methods for Nonlinear Variational Problems","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:22.632336Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:2f79fa387fe36e85705eea61c35e3b4883ea80c5e7403b3199fa0949a0cd6d3f","observation_id":"55063875-a204-4b29-bdff-475245d4ca54","resolution":{"observed_at":"2026-08-01T22:42:22.632336Z","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":"2026-08-01T22:42:22.703311Z","title":"Elliptic Problems in Nonsmooth Domains","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:22.703311Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:e3795ae33a90b78b6d052a843d64ddc2ab85e95a46f75dba8beb1ba8426b18a4","observation_id":"b147fbed-efab-447d-8212-4dae196f88b9","resolution":{"observed_at":"2026-08-01T22:42:22.703311Z","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":"2026-08-01T22:42:22.790691Z","title":"An overview of projection methods for incompressible flows","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:22.790691Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:22b2530ef28c061d226e59eaaac43fe7731a18ecece0e5b129297628aa96637d","observation_id":"e248d734-2b66-480a-a709-069ea8216a17","resolution":{"observed_at":"2026-08-01T22:42:22.790691Z","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":"2026-08-01T22:42:22.879130Z","title":"New development in FreeFem++","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:22.879130Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:0a397953d20e1b28e3990123ea0887787eec863f22eb6de3eb4a2ed33688d8dc","observation_id":"a8c855b9-2dbd-4931-a2de-8ec8daf947f2","resolution":{"observed_at":"2026-08-01T22:42:22.879130Z","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":"2026-08-01T22:42:22.945677Z","title":"Problem `es aux limites non homog `enes","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:22.945677Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:77a5321e2c3c735ecc9c6e0ecf30b855692e7ba74913f8ad36d97f880b908e06","observation_id":"184e8c99-dc3f-4663-b779-7e45071c6c7c","resolution":{"observed_at":"2026-08-01T22:42:22.945677Z","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":"2026-08-01T22:42:23.021807Z","title":"On the transport diffusion algorithm and its applications to the Navier-Stokes equations","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:23.021807Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:c18672c50f1c78096adbcb15b4e3c01f257a5c5a5ad2016730a7f6a17f49c6b4","observation_id":"68571f86-ee2e-4712-a72d-f63ae4e4a417","resolution":{"observed_at":"2026-08-01T22:42:23.021807Z","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":"2026-08-01T22:42:23.121824Z","title":"Sur l’approximation de la solution des ´equations de Navier-Stokes par la m´ethode des fractionnaires II","venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:23.121824Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:2f976374b28af353ed608a1512c4d930a8305a961d9b1d277aec37e527622ebb","observation_id":"cade76d3-12bf-4098-90e5-bc0f46dbd7b1","resolution":{"observed_at":"2026-08-01T22:42:23.121824Z","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":"2026-08-01T22:42:23.206773Z","title":"Navier–Stokes equations : theory and numerical analysis","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:23.206773Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:de94b912ef189151a9821b55f5d13e5a580b37865b5b95c6cbdfa627ef71851d","observation_id":"b85e1394-03a5-4de4-bf0c-2d6e9ba41d2b","resolution":{"observed_at":"2026-08-01T22:42:23.206773Z","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":"2026-08-01T22:42:23.288494Z","title":"Estimating∇uby divuand curlu","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T22:42:23.288494Z"},"links":{"citing_paper":"/paper/2607.15685"},"observation_digest":"sha256:5febd8d86d3b0540f311e22ec79f4dafafa702385869fd23de8951f4db78b15a","observation_id":"456381b8-1799-4700-a770-802217d44ab6","resolution":{"observed_at":"2026-08-01T22:42:23.288494Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.15685","last_updated":"2026-07-17T06:55:16Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-01T22:42:05.254930Z","submitted_at":"2026-07-17T06:55:16Z","title":"The structure of the solution to the generalized Stokes equations and a new method for solving them"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":21},"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 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.15685."}