{"as_of":"2026-08-23T22:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3d06050e7cc3df108927b702485bd814614661852dc6ddb6cb6ef121406af4ac","coverage":[{"denominator":53,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":53,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T00:38:24.719887Z","state":"measured"},{"denominator":56,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":56,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T19:01:17.815975Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-04T20:50:11.106629Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.03847","snapshot_observed_at":"2026-08-15T19:01:17.815975Z","title":"Bullerjahn","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.18617","last_updated":"2025-06-23T13:24:12Z","snapshot_observed_at":"2026-08-19T17:51:37.786265Z","submitted_at":"2025-06-23T13:24:12Z","title":"Regularity of a bulk-surface Cahn-Hilliard model driven by Leray velocity fields","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T19:01:17.815975Z"},"links":{"cited_paper":"/paper/2502.03847","citing_paper":"/paper/2506.18617"},"observation_digest":"sha256:d458d6b833b2a5081151318be01af48f0937e33fe60920db16140ae09f07dec5","observation_id":"99764b95-5322-4240-8a48-e7189eaff504","resolution":{"observed_at":"2026-08-15T19:01:17.815975Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"cited_work":{"arxiv_id":"2502.03847","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.03847","snapshot_observed_at":"2026-07-04T20:50:11.106629Z","title":"Bullerjahn","venue":"math.NA","work_id":"8d25039d-c862-4646-b139-e3970d2d80ad","year":2025},"citing_paper":{"arxiv_id":"2507.01618","last_updated":"2026-04-28T17:50:36Z","snapshot_observed_at":"2026-07-06T21:51:04.907326Z","submitted_at":"2025-07-02T11:38:07Z","title":"A Thermodynamically Consistent Free Boundary Model for Two-Phase Flows in an Evolving Domain with Bulk-Surface Interaction","version":4},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-19T06:43:38.573409Z"},"links":{"cited_paper":"/paper/2502.03847","citing_paper":"/paper/2507.01618"},"observation_digest":"sha256:ba7b2b0f56574f983877930bd7c8f102fa35fccbd736e0f889b2f362fa0a10b1","observation_id":"72706030-5922-4bde-9a55-311d72645786","resolution":{"observed_at":"2026-06-02T03:04:31.795585Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"cited_work":{"arxiv_id":"2502.03847","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.03847","snapshot_observed_at":"2026-07-04T20:50:11.106629Z","title":"Bullerjahn","venue":"math.NA","work_id":"8d25039d-c862-4646-b139-e3970d2d80ad","year":2025},"citing_paper":{"arxiv_id":"2606.25934","last_updated":"2026-06-24T15:08:39Z","snapshot_observed_at":"2026-07-07T00:00:21.918469Z","submitted_at":"2026-06-24T15:08:39Z","title":"Error estimates for $A$-stable backward difference full discretizations of Willmore flow of closed surfaces","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-25T19:36:48.837377Z"},"links":{"cited_paper":"/paper/2502.03847","citing_paper":"/paper/2606.25934"},"observation_digest":"sha256:5c76b490ca7591df19190ef1bda889e8eeaa1e3e7791b240fca89d5fcef23852","observation_id":"e730624b-a8b9-45eb-ae4f-69818a8920f2","resolution":{"observed_at":"2026-07-04T20:50:11.108384Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.03847/citation-record","integrity":"/paper/2502.03847/integrity","json":"/paper/2502.03847/citation-record.json","paper":"/paper/2502.03847"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:38:23.860037Z","title":null,"venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.860037Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:f119be05714e0cccc2b5340d3724c35ced4bf7268b9252cc5aacc43566ef3191","observation_id":"190ddb63-b445-4ee3-a5df-b14545df8e1c","resolution":{"observed_at":"2026-08-09T00:38:23.860037Z","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":"2026-08-09T00:38:23.865649Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.865649Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:a49c7e96b4e7822c7b83e1feaab6c95d93f97a89186016fada2003f11d86e53a","observation_id":"b16c3b71-3cf6-4d6a-8abd-9af44ece1a89","resolution":{"observed_at":"2026-08-09T00:38:23.865649Z","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":"2026-08-09T00:38:23.870801Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.870801Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:c309690fd6e6ffbfb21de3da4c4bb3f4741f0affdb4cdf9f82663269b62adace","observation_id":"ead2d915-4f00-4d40-92b0-52640297b524","resolution":{"observed_at":"2026-08-09T00:38:23.870801Z","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":"10.1016/j.physd.2010.12.007","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Physica D Nonlinear Phenomena","work_id":"e02fe8c7-7ea0-4211-bc8b-df687018628f","year":2011},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.875573Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:32439e83390dbf97449fc2b23793711a14bddecf71165bbd5319ad13c49101c8","observation_id":"e8dac481-1bdb-48bf-8ec2-2f03fdea1d8f","resolution":{"observed_at":"2026-08-09T00:38:25.135452Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:26.036480Z","title":null,"venue":null,"work_id":"90eefe47-791f-44dc-9ae9-6552cd9fb915","year":2019},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.881432Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:5561c86385ee95c667669947183ce74d867cc24376cc7a03f82f2e27f2f67987","observation_id":"f62bed02-43ba-40ed-ba37-0de0841b3b65","resolution":{"observed_at":"2026-08-09T00:38:26.041471Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/1361-6544/ab8351","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Nonlinearity 33(8), 4191–4235 (2020) https://doi.org/10.1088/1361-6544/ab8351","venue":"Nonlinearity","work_id":"328fc61d-f8d6-4f7b-aa29-71e45e0b3b62","year":2020},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.886697Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:a1d26b54fde252077eb6b098066f2572c35754a116168d933565a3012938a76a","observation_id":"7b3cfbe1-6e6f-4194-85f8-736e9807458e","resolution":{"observed_at":"2026-08-09T00:38:25.119697Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"an/2020090","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:38:25.738890Z","title":"ESAIM Math","venue":null,"work_id":"e0201955-14cd-479e-a4b4-688370b5624a","year":2021},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.892480Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:f154f8c66b5641612c91ced8d4d499090900e695af228b518359b710a912328f","observation_id":"b9e47520-37fc-4270-bb68-14b4451dc59b","resolution":{"observed_at":"2026-08-09T00:38:25.746051Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00030-024-00970-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:38:25.096631Z","title":"NoDEA Nonlinear Different ial Equations Appl","venue":null,"work_id":"2700b6dd-ebf4-45f7-a88a-c1034e2b691b","year":2024},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.898087Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:84aa04edb627f1f3ddfefd85bab9edf81a39104efb02683c2e18ea67076f5216","observation_id":"0220cc16-4550-4a39-80f0-95c59af61d09","resolution":{"observed_at":"2026-08-09T00:38:25.102988Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:23.904645Z","title":"Electron","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.904645Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:857f121ce8fc76338dc737d44909e9468f576d6d3b321668b668e3f6ab0e5992","observation_id":"f609e74c-6a3f-4754-b41c-2566f21afa7a","resolution":{"observed_at":"2026-08-09T00:38:23.904645Z","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":"10.3934/dcds.2010.27.1511","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Discrete Contin","venue":"Discrete and Continuous Dynamical Systems","work_id":"1fc6ab52-46ec-44fa-b0b6-ee769e2142d3","year":2010},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.909861Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:fd048876842213abb9b898414643d5bc0c62afea2c0f20caf8e57bccf86825a1","observation_id":"28fbf450-c3a8-4dc4-b455-32550591573a","resolution":{"observed_at":"2026-08-09T00:38:25.075818Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:26.021107Z","title":null,"venue":null,"work_id":"7465fbd5-9817-44ad-b93e-5f596309332f","year":2014},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.915351Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:487a6db70be5d683a6dbeacae473576a42ac09029d3b94ae548516a04c3d87c8","observation_id":"7bd6dc2d-2927-4857-a08f-3156217284f1","resolution":{"observed_at":"2026-08-09T00:38:26.025921Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/imanum/drab045","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"IMA Journal of Numerical Analysis","work_id":"0460d1e0-239e-4739-8c57-4ab5c59f2c38","year":2022},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.920008Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:b17a6703e375fab122db2c512b97e0bef64d7cc82a408d5867414d2e09dcead8","observation_id":"56699c88-d030-4ccf-bccf-bdcb8fbabcbd","resolution":{"observed_at":"2026-08-09T00:38:25.060849Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:25.982901Z","title":"https://arxiv.org/abs/2407","venue":null,"work_id":"782653f0-df4d-40e2-b8bd-5c0c852eb4c8","year":2024},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.925281Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:b10b5498980d89d35ccabaa91979ae0991cd811d86f133e0b9240100c3a00f02","observation_id":"4de1e970-30da-4b2f-985f-6604ae7c24b4","resolution":{"observed_at":"2026-08-09T00:38:25.993007Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:25.966605Z","title":null,"venue":null,"work_id":"0d2b75cf-a828-43e4-b6ad-db2705fde739","year":2021},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.931888Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:52364411680c6857d8e176a54e23b3e022cc235e38f3091c4ad3b4499c0ef99c","observation_id":"02311ba4-6883-4779-9118-c5e1e22d346b","resolution":{"observed_at":"2026-08-09T00:38:25.971761Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:25.947188Z","title":null,"venue":null,"work_id":"07e8447f-d5da-466f-89da-608d43120e99","year":2023},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.936416Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:5e7029009777fa78e69582e6f9876a399c436bcba840eb4f27fb190daf2c40fb","observation_id":"52036aa2-c59a-47e1-b931-fc5cdc5f9c99","resolution":{"observed_at":"2026-08-09T00:38:25.954767Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10915-021-01475-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T00:03:40.895421Z","title":null,"venue":"Journal of Scientific Computing","work_id":"548ecabf-1410-49c7-800d-75c7f43e7b11","year":2021},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.940823Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:45d04eee1c23b24f3f5a6b8f35f71b3044d754224f9c107cf80744f6e4f96c4b","observation_id":"49d489c7-de93-4a18-956e-ffe3d365c49d","resolution":{"observed_at":"2026-08-09T00:38:25.045558Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:25.592333Z","title":null,"venue":null,"work_id":"58651d27-836c-424d-8fc0-0648106d67bc","year":2023},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:23.969583Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:ca3146567ad6fc2e9567f3579be057071c7c3ae539318b31537a8702a45f6d64","observation_id":"e53d6f71-c993-4bf9-a5a5-3530c53d787f","resolution":{"observed_at":"2026-08-09T00:38:25.604752Z","resolver_source":"arxiv_id_nonexistent","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:25.412825Z","title":null,"venue":null,"work_id":"b9c597b2-7648-4dda-9996-45365fc65bfc","year":2024},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.004210Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:e78595d14bc3d4e7697973c7aa6525c7996132270cb8060cc4a296c6be366f40","observation_id":"fc3a4ab2-bebb-46f0-a3df-07542646d508","resolution":{"observed_at":"2026-08-09T00:38:25.418615Z","resolver_source":"arxiv_id_nonexistent","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.apnum.2023.04.012","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Applied Numerical Mathematics","work_id":"fba065f9-43ed-4484-9e5c-653597f0c0a2","year":2023},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.046359Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:e3e10bc58b826a944a1733008805d0bb0f93682925d6c3c29033db3df269aa97","observation_id":"d002a02b-55c2-4801-be66-dd8db3d8b706","resolution":{"observed_at":"2026-08-09T00:38:25.029072Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3934/dcdss.2023207","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Discrete Contin","venue":"Discrete and Continuous Dynamical Systems - S","work_id":"4ecc7153-50d9-4b94-813f-1943ec04069c","year":2024},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.167631Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:3b10c0cfa340d81251706794a3ab3d424fed8b1019987db0a1c75c4032f671a0","observation_id":"f52ed164-057a-4a53-a5c6-a1a6edfe0dc8","resolution":{"observed_at":"2026-08-09T00:38:25.012748Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:24.277652Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.277652Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:7a7a761d5fc0603891f2bd7d26086cd046377195917909625b818213c3e91f7a","observation_id":"c5211ce4-dd18-4d92-ad0b-3427eae84830","resolution":{"observed_at":"2026-08-09T00:38:24.277652Z","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":"2026-08-09T00:38:25.932650Z","title":null,"venue":null,"work_id":"f523baa2-dec4-4c9f-a5da-b00420c42f73","year":2021},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.390159Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:3c9e9f1f13c61ce5afb016e0f926122b84f848d4b098e09ae91f2c75686393dd","observation_id":"47d5b9c8-b9b5-49c2-b993-561a66afa8cd","resolution":{"observed_at":"2026-08-09T00:38:25.937031Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/imanum/drw015","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"IMA Journal of Numerical Analysis","work_id":"6b229ffb-2062-4257-806c-30ee8b4def72","year":2017},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.435202Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:bfe69a767afae10076d522da7e1c908a338bda6e810414b3e973ec632378f191","observation_id":"5b35f6bb-4fba-44d4-b855-8af8f16c0d5f","resolution":{"observed_at":"2026-08-09T00:38:24.983907Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:25.917504Z","title":null,"venue":null,"work_id":"edc7d6eb-5ca6-488c-819a-1e2d8cc85f09","year":1979},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.439810Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:45341dd77e753848576d1d1c2fd09b1e17c07da3c33870e55e49d7cc77f39534","observation_id":"dcf838f4-8176-45f9-a4d7-757274b1db72","resolution":{"observed_at":"2026-08-09T00:38:25.922671Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:24.444406Z","title":"BIT 18(4), 384–401 (1978) https://doi.org/10.1007/BF01932018","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.444406Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:0233bb400b3850ac1e27c3479b75671bf219921b3f9ab91eb5b171ba27e567cf","observation_id":"351d55af-164b-47fa-9731-019aba858730","resolution":{"observed_at":"2026-08-09T00:38:24.444406Z","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":"2026-08-09T00:38:25.902536Z","title":null,"venue":null,"work_id":"514c2114-022f-4e5c-8506-e6b3fd1e402c","year":1981},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.449722Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:c6b733d788fb7e123368b979b700c14166552500a17199bded5ce1d920037378","observation_id":"a8539451-fad3-4cea-bc2d-b1208052d8bb","resolution":{"observed_at":"2026-08-09T00:38:25.907239Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:24.454701Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.454701Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:42064678e2a17a3d3fd5346699fc57f0388aa8494813deb62cb7d0b07d9aabd2","observation_id":"e5c63eed-f1e7-4e8a-941a-8dac9352ce99","resolution":{"observed_at":"2026-08-09T00:38:24.454701Z","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":"2026-08-09T00:38:24.459338Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.459338Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:eb410ca49e4222ce517f1b137d8a0e090161124e920386ccb20099db2b26eb1d","observation_id":"f1ca8418-bf78-49b3-a0e4-f0f4c6207a2e","resolution":{"observed_at":"2026-08-09T00:38:24.459338Z","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":"2026-08-09T00:38:24.464220Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.464220Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:48a58994a03786401cecd33b5a50f0442439c5c04a9d8b0f49104c602279fb82","observation_id":"df3acb65-d5c2-4223-bc06-f2c5db8559a5","resolution":{"observed_at":"2026-08-09T00:38:24.464220Z","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":"2026-08-09T00:38:24.468922Z","title":"Acta Metallurgica 27(6), 1085–1095 (1979) https://doi.org/10.1016/0001-6160(79)90196-2","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.468922Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:49da7f9769c2e2325f932d09f7a7191f2df3af6a63ff07ee0a73af257c2ae2dc","observation_id":"9edfd64b-b0ce-432d-9515-9fbc4a76f2fb","resolution":{"observed_at":"2026-08-09T00:38:24.468922Z","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":"10.1016/j.camwa.2021.03.018","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Computers & Mathematics with Applications","work_id":"bde5c756-08d7-4a7d-827d-e4200b75eecb","year":2021},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.473483Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:65b44fe4583260cf1a6597b12a7b16ca983c2c519c9c4153a8865e029b2bf6e3","observation_id":"8c7ade96-1a83-4557-a2cf-84975fffdf99","resolution":{"observed_at":"2026-08-09T00:38:24.915564Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:25.887143Z","title":"European J","venue":null,"work_id":"90c92a1a-6fe3-4725-abe9-d4ac66c2251f","year":2021},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.478208Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:ccf66e774d84c18e7df5426938998a34b5735f8776b4580ccfd180642ae420c0","observation_id":"3be060a8-59b4-4ddc-87e3-4fe5b2cb3ec1","resolution":{"observed_at":"2026-08-09T00:38:25.892159Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.11984","last_updated":"2025-02-11T14:16:44Z","snapshot_observed_at":"2026-08-16T13:51:20.103398Z","submitted_at":"2024-05-20T12:34:17Z","title":"A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential","version":2},"cited_work":{"arxiv_id":"2405.11984","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.11984","snapshot_observed_at":"2026-08-09T00:38:25.187166Z","title":"A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential","venue":"math.NA","work_id":"e6357658-b5d5-4c62-a978-d60b145a3e58","year":2024},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.483538Z"},"links":{"cited_paper":"/paper/2405.11984","citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:9b200ec852ad55e18e343c4e7c7bd651f282441f95675b26b00e8d21e746c90b","observation_id":"44e18dcc-d335-40ac-89d7-9d5c13e928ce","resolution":{"observed_at":"2026-08-09T00:38:25.193344Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:25.870861Z","title":"https://arxiv.org/abs/2411","venue":null,"work_id":"74505346-3d0e-4a0a-8932-5d7c93d870fc","year":2024},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.489185Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:6b6c62cb5fda3a360ab338865621a57b52279f0fe56b5287511e0fe5ecc22de5","observation_id":"35eaced8-4a76-4047-be33-4fc1ecdc4123","resolution":{"observed_at":"2026-08-09T00:38:25.876644Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:24.494025Z","title":"A cta Numer","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.494025Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:32e4db8c6f7b01d02bb6dcd156111d47479c6ed3da7395f788ccf15e5e85108a","observation_id":"c2ab5429-6c5d-4e53-933b-75ba7f5e71b8","resolution":{"observed_at":"2026-08-09T00:38:24.494025Z","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":"2026-08-09T00:38:24.498946Z","title":"Graduate Studies in Mathematics, vol","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.498946Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:fbe4c4ab6f8d5776bb3d4d4f4e215e5cf92a349380af12a9483428748d264d6c","observation_id":"3e3679ba-7a99-448d-acc7-8d80869f8595","resolution":{"observed_at":"2026-08-09T00:38:24.498946Z","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":"2026-08-09T00:38:24.503926Z","title":"Texts in Applied Mathematics, vol","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.503926Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:548cfcd27766151969e8708980deb5f60a9195af26902c5a29541e8ea9d52b55","observation_id":"13ac7ce3-e589-4991-aa7b-1e5c39568620","resolution":{"observed_at":"2026-08-09T00:38:24.503926Z","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":"2026-08-09T00:38:24.508432Z","title":"I I, 2nd edn","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.508432Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:71046195d2fd883d19a997d040b8aef8c00d539909158b597af5fea004ab096c","observation_id":"473e97c0-974c-467f-9b9d-1ccdee28853f","resolution":{"observed_at":"2026-08-09T00:38:24.508432Z","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":"10.1007/s10543-019-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:38:24.851560Z","title":"BIT 60(1), 93–99 (2020) https://doi.org/10.1007/s10543-019- 00768-1","venue":null,"work_id":"44d4bb7f-f6d0-4f2e-b875-e764e1a42fa9","year":2020},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.512851Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:1cb54ba7d3b5f200f8ebe07e83471af905ad79beec8f83905136ce4ec321abbf","observation_id":"3631f548-aa4b-444a-b7b9-07ca38d05a3a","resolution":{"observed_at":"2026-08-09T00:38:24.857261Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:25.855987Z","title":null,"venue":null,"work_id":"4e16b6e2-8f23-4157-b0ec-7d54d440df98","year":2021},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.523382Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:c8ffd02f56ec27eeabd450e81c12c4a86dafd1603e96fe046540599bdee0170c","observation_id":"b5cc320d-3572-490e-a079-04038e5f7cca","resolution":{"observed_at":"2026-08-09T00:38:25.860771Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:25.840864Z","title":null,"venue":null,"work_id":"89a01112-1a48-4e5b-9909-da1032fc69c8","year":2023},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.528753Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:7d859f1e7ba26b035668e1d52fdfcb9adce7348c33d078235d8013e23299f0f7","observation_id":"58912df1-d447-4fa1-b26c-128601e2fa51","resolution":{"observed_at":"2026-08-09T00:38:25.845138Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:25.824278Z","title":null,"venue":null,"work_id":"b9cd9a45-7b86-4c86-85a5-1a412b0680ef","year":2024},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.533327Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:126880a3d55f50b20a09bdd483b98bdc4ccc37cb2c7438a02195bdc0e40d0a1e","observation_id":"fd2f18be-8ccb-42f0-b77a-7ab20d255978","resolution":{"observed_at":"2026-08-09T00:38:25.830123Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:24.537837Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.537837Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:fd4b875a2b4b680a76e08e55bca662562f39c8136c0cafe36b9db55aba1d0abe","observation_id":"c8930cb1-b49b-4aa4-a272-60181eeaa026","resolution":{"observed_at":"2026-08-09T00:38:24.537837Z","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":"10.1007/s00211-022-01280-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Numerische Mathematik","work_id":"9f9e6e65-9be9-44d1-a4f4-a41bf6add834","year":2022},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.542221Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:466f387be3244bfbb3a0362d9110650345dd0c33e096bb19a949acd23e2f12a7","observation_id":"907eda6d-ceb1-4849-89e2-df1f5d31a497","resolution":{"observed_at":"2026-08-09T00:38:24.829608Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:24.547337Z","title":"Interfaces Free Bound","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.547337Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:ca96e7869bcbb234b50e15d3f0e8db40670b3a86dab350e23d921a9ad8dfdfbf","observation_id":"f1f961d5-f7fa-4522-8635-bec31e81ea57","resolution":{"observed_at":"2026-08-09T00:38:24.547337Z","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":"10.1016/j.na.2015.07.011","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Nonlinear Anal","venue":"Nonlinear Analysis","work_id":"aa02ccd2-ea07-4e77-a20b-51a677d473df","year":2015},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.606456Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:f2929efaaec23c41e8fb8a9ea9ed901abb3d2d5538ef26088fbeb9c6811abf49","observation_id":"a41f59c6-dbbf-4b84-a94d-29d66d157ba1","resolution":{"observed_at":"2026-08-09T00:38:24.801190Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:24.688011Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.688011Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:c0797721f8a80d50cea5a422c98e4ea18c6b2d1836e7438865bd167e8eaf3d93","observation_id":"905642a3-1214-4cb0-81d8-ec1ed8bcb3b5","resolution":{"observed_at":"2026-08-09T00:38:24.688011Z","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":"2026-08-09T00:38:25.807631Z","title":null,"venue":null,"work_id":"c0e81547-1f55-431d-a931-f44fe38686de","year":2015},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.694749Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:9d733e57fa1009ce15ac37c88e938ec23242ba621911ab80879776710324f122","observation_id":"6c19d850-b848-42f7-b7b5-72043e54d486","resolution":{"observed_at":"2026-08-09T00:38:25.813209Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:24.699069Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.699069Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:97b60c9d54f1d71925e321751b3ed48a18b0bda130ec571e9ea075eb50a0375e","observation_id":"da2bc737-b2d3-4ade-93b5-f44bc42af168","resolution":{"observed_at":"2026-08-09T00:38:24.699069Z","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":"2026-08-09T00:38:25.789560Z","title":null,"venue":null,"work_id":"160d19be-a8c0-4dcd-98dc-61a940e62d4c","year":2015},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.703777Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:86bbe4cd04bd8c0ad8088543da4b0772d1135fba1c6498af2ab74eafd8793675","observation_id":"0f01c651-7f19-48cf-8e0a-6b1abb1a10b9","resolution":{"observed_at":"2026-08-09T00:38:25.795114Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:25.772669Z","title":"I, 2nd edn","venue":null,"work_id":"610c6b50-0390-4264-851b-426162b12bac","year":1993},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.708137Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:6e9c129daaa967b737f50c044d548b5656639cf853610c202c1f5c5177478d56","observation_id":"904f1b33-a1db-429c-b6b7-dafda7f4383d","resolution":{"observed_at":"2026-08-09T00:38:25.777807Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-09T00:38:25.756007Z","title":"Springer Series in Computational Mathematics, vol","venue":null,"work_id":"694e45b9-cd08-41c4-94b8-cff67e0162c3","year":2006},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.712913Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:6fce2799f05128c1cbffe4d822b0484bd631b38f887bffd48d6d64456e117cea","observation_id":"4a0f0e36-d948-4fd0-abfa-b9d26535d1d8","resolution":{"observed_at":"2026-08-09T00:38:25.762533Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/imanum/drr017","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"IMA Journal of Numerical Analysis","work_id":"53a3f108-66f6-4fe6-9061-e84ab3b0daea","year":2012},"citing_paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-09T00:38:24.719887Z"},"links":{"citing_paper":"/paper/2502.03847"},"observation_digest":"sha256:eff513d7b7b97f81264aa640ada601b8e48a36e74723ad65319c933a4e8bbcbf","observation_id":"f3b59c84-2a80-46c6-a257-52453e165fad","resolution":{"observed_at":"2026-08-09T00:38:24.760389Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.03847","last_updated":"2026-06-01T12:07:13Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-09T00:28:31.204020Z","submitted_at":"2025-02-06T07:56:31Z","title":"Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions"},"reference_resolution":{"displayed":53,"state_counts":{"malformed_identifier":8,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":25,"verified_exact":15,"verified_fuzzy":4},"total_outbound_references":53},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 3 inbound Pith citation observations for arXiv:2502.03847."}