{"as_of":"2026-08-11T18:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:04f246906dbfd5efd60211a8de53864620c80cb428105858be2122b3e96fd945","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-08T19:50:36.971906Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2607.05998/citation-record","integrity":"/paper/2607.05998/integrity","json":"/paper/2607.05998/citation-record.json","paper":"/paper/2607.05998"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-08T20:35:35.174829Z","title":"Aland, S","venue":null,"work_id":"8af89828-258f-4245-8be3-0a6cbcb566bd","year":2014},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:7dcd1329f19b7322283cb6e507f55d660d1bcf88238042dbf33c42aaa2272c6b","observation_id":"244a405e-5ec6-4910-9209-8e2267715cf5","resolution":{"observed_at":"2026-07-08T20:35:35.176262Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.159391Z","title":"Arroyo, A","venue":null,"work_id":"9cb114f6-bae4-4e8d-8a3f-26fc0175c39f","year":2009},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:13744bf3d4cd2c9f0b4d0687fc30a287d26120f2828a50fbf5216261486e0af6","observation_id":"c585f9e4-7ced-4ee5-b4f5-4d0eb4e2836e","resolution":{"observed_at":"2026-07-08T20:35:35.160559Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.155242Z","title":"Barrett, H","venue":null,"work_id":"b841a111-d00e-455e-b013-e54f3e2fae05","year":2008},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:0048661d53a05755eb418f1a3ab335b5981f87c73612c7e0194ddfb7a8175e84","observation_id":"a6da4c92-dd27-42ef-8167-ba4d0efc8e58","resolution":{"observed_at":"2026-07-08T20:35:35.157329Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.113054Z","title":"Barrett, H","venue":null,"work_id":"d8e0c78f-f12a-458d-937d-4cf599d54921","year":2008},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:0abffdb08279505af189f5746cd88f5b50bf24b9cd35a8b7301b4b8d9471759c","observation_id":"38648c6b-0ec6-4861-9283-af2061d6f59f","resolution":{"observed_at":"2026-07-08T20:35:35.114385Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.114821Z","title":"Barrett, H","venue":null,"work_id":"43758bfa-c17a-4549-bec2-594231e52d82","year":2015},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:464d272e751a586b02a87a1c65674988ff73063ad64ec28743982776503384c4","observation_id":"af70be98-d8d0-4be6-b6bb-9415e99f3926","resolution":{"observed_at":"2026-07-08T20:35:35.116225Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.119985Z","title":"Barrett, H","venue":null,"work_id":"e07a52c0-9da5-493d-bd96-cea84c03d07d","year":2016},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:e7359e72cebd5bcec85bd60e0a400ad8c475e8e2e74ca734861fdf501a002beb","observation_id":"2419e6b7-bcb7-4b60-bc88-b20ae43309ab","resolution":{"observed_at":"2026-07-08T20:35:35.121627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.107556Z","title":"Barrett, H","venue":null,"work_id":"9bf97a43-c366-448b-9efe-68b2b5dccfdd","year":2016},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:b86d00b49079f95eeef237efc496250d4f1f81dccc17bc042d1e84b0411f7dd9","observation_id":"7e9c945e-7c86-4129-9c22-e74ad43a7749","resolution":{"observed_at":"2026-07-08T20:35:35.109089Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.111345Z","title":"Barrett, H","venue":null,"work_id":"091822e4-b324-4b59-b6be-92cbe9f58f57","year":2017},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:78bfeddd254db7b448dad5541934ef26788c9f2e884ab64dae41ebbcfa385a44","observation_id":"f5a3b715-0925-4c53-b51c-ab9c39da8f4d","resolution":{"observed_at":"2026-07-08T20:35:35.112774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.123492Z","title":"Barrett, H","venue":null,"work_id":"a005c4cd-16f3-4ba7-a676-829f10d4dc37","year":2020},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:b026f0f7253c4a9e0b71cea1cf6dc4c0f239c1148d2d725e551f9abeed566c82","observation_id":"af466bc2-0fed-4e59-b375-c89446b50fe7","resolution":{"observed_at":"2026-07-08T20:35:35.124846Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.129572Z","title":null,"venue":null,"work_id":"cbe04d38-7291-4098-a6e5-ecbe4a0ee021","year":2012},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:e09e7ceb869edca06f977d08b6359954d85da5650e4716bc8a570606631f33b7","observation_id":"4538e0a4-da06-4cd9-8182-b3694f54afb6","resolution":{"observed_at":"2026-07-08T20:35:35.130958Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.160430Z","title":"Bonito, R.H","venue":null,"work_id":"b3136432-53b8-4cb0-a5f9-c8f6d5a2de3a","year":2010},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:2ce0eca10f9c74e8257d59a2c06ba66982a24a27197af86cc8fdedc08509ecd9","observation_id":"8835f822-87dc-40e2-9c54-7ed4314dfd45","resolution":{"observed_at":"2026-07-08T20:35:35.161853Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.177092Z","title":"Bonito, R.H","venue":null,"work_id":"9d008b43-a9c9-42c1-bdb2-b058bfe5e706","year":2011},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:937c56fb8358fd6b72020d4241da8059c45383d7cb0e1eb0fbbc51072e1413e0","observation_id":"e5431c00-5fd7-41a4-8238-ae7a5fa48b86","resolution":{"observed_at":"2026-07-08T20:35:35.178593Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.143540Z","title":"Brezzi, M","venue":null,"work_id":"1416f780-1db4-48d5-a9ec-7e5d1eb0a912","year":1991},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:9314bdc0ea791697be4db453dc62c1eda55583baaaf0c76cc8b3ffe5831d5928","observation_id":"fa0a5ecc-5e1e-4018-9213-a9d4dcda30f2","resolution":{"observed_at":"2026-07-08T20:35:35.145025Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.172694Z","title":"Droske, M","venue":null,"work_id":"4be8e1d5-bcbc-482e-b98f-c53c69488c2c","year":2004},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:993df35e133593dcaa26eafaf1db8cf05a2ee53b68094da7aa36a60cdd1dc28f","observation_id":"1cc770b8-ec17-4d26-891e-591026d0d119","resolution":{"observed_at":"2026-07-08T20:35:35.174147Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.181829Z","title":null,"venue":null,"work_id":"99865051-2006-4579-92e2-de14965da6ea","year":2004},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:3d99fe2a8740b31702c219db17843fe769f50b039d52fecb4ecbcb127b2e335d","observation_id":"fae5961a-2dd6-4869-aa40-d921403b698e","resolution":{"observed_at":"2026-07-08T20:35:35.184510Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.137534Z","title":null,"venue":null,"work_id":"8295d075-77ba-41d3-9355-95ef7833312d","year":2022},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:b9c7816609d192611ffdb9e2486f1a05d3702ef219c7366814fa68a3a22d14b4","observation_id":"f4fbdc41-046a-4f98-b8c0-70d1f7b7dafc","resolution":{"observed_at":"2026-07-08T20:35:35.138925Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.136504Z","title":"Dziuk, Computational parametric Willmore flow, Numer","venue":null,"work_id":"3f72b8f6-d200-4d36-9f08-722bf339764a","year":2008},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:2ebfb10204c30383ba3c2279a55deeb65930bf72061aeb27c2213d0ef6fb0c02","observation_id":"f2d75429-cbf0-4775-938b-df1f387e605d","resolution":{"observed_at":"2026-07-08T20:35:35.138350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.141575Z","title":"Esedoglu, S.J","venue":null,"work_id":"735d0b3f-86ec-4c61-a50b-f7270be2f229","year":2008},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:9697171d8d65b03b9cd9a4f9aa0fb4ec29ac55a4926cac9534c4b5c02f12a686","observation_id":"3dfe4344-bd8f-4ad7-bb5f-e265bbceb5d1","resolution":{"observed_at":"2026-07-08T20:35:35.142959Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.147236Z","title":"Franke, R.H","venue":null,"work_id":"70de05de-64d1-4b93-855d-0e67c81798ce","year":2011},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:f82fef688b2e9797e1a38cb74afd27de0c8203ab4fb3d218913f4d009eead3f4","observation_id":"77149585-8db8-47ac-8419-5dc752ad865f","resolution":{"observed_at":"2026-07-08T20:35:35.148587Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.150953Z","title":"Franken, M","venue":null,"work_id":"c5d1dd6c-1243-46f6-9a69-1a31f7c6d0e9","year":2013},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:6f1945be71ec3f047ff38c9c16f90faa3f140fbfdb01619dc3c31db3a2c05f0a","observation_id":"39ec2f48-c681-44e7-ac2d-3e3c7397433f","resolution":{"observed_at":"2026-07-08T20:35:35.152451Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.151287Z","title":"Garcke, R","venue":null,"work_id":"d25bd2db-eaeb-4a41-ac3d-90b3386e9730","year":2023},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:b189bb06b1701d2dea8933ee530ec1bc95ed73ad35d771b330c1995e8f0f2430","observation_id":"c9776e13-1be7-4637-aa64-bca24060b714","resolution":{"observed_at":"2026-07-08T20:35:35.152641Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.170393Z","title":"Garcke, R","venue":null,"work_id":"a89b3f29-332d-44e8-bdc9-0eee362c10a7","year":2023},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:aa4e423761ef0106504eb15f1b96f4d04d71550724daa8fb9aa82bc5a769aa68","observation_id":"43620efb-e1d6-4e42-92e0-6ac305e2f494","resolution":{"observed_at":"2026-07-08T20:35:35.172080Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.175586Z","title":"Garcke, R","venue":null,"work_id":"91d58f2a-a0dd-419f-a7a6-945af8eaa605","year":2025},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:afd92b741ede1a77ac2c427bf2f6ffd582aa756a023b94cd546f27bff36562f0","observation_id":"78f94dd8-ce25-4e57-87d0-48bc3914a98d","resolution":{"observed_at":"2026-07-08T20:35:35.177251Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.166569Z","title":"Garcke, R","venue":null,"work_id":"4c8d80da-8c0d-486a-b377-8052a78d50d0","year":2026},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:027c18d81684361a7e93d1fa71d0f73ad32f496542be891bb4b7cad9a824498e","observation_id":"4c750a6b-e025-4fe5-86ac-33d3d3f2ad7a","resolution":{"observed_at":"2026-07-08T20:35:35.167696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2508.19198","last_updated":"2026-07-17T08:00:48Z","snapshot_observed_at":"2026-08-06T08:14:30.924418Z","submitted_at":"2025-08-26T17:01:52Z","title":"A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface","version":3},"cited_work":{"arxiv_id":"2508.19198","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.19198","snapshot_observed_at":"2026-07-20T02:18:19.134304Z","title":"Garcke, R","venue":null,"work_id":"3e9d9a05-4681-4c39-a41d-03c0f2a299de","year":2025},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"cited_paper":"/paper/2508.19198","citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:b3e78c3e76a170c118202652cef849da6d03a48ac87b299e2d6fb452d5bc32c7","observation_id":"14ddb7e6-4e52-4339-9fc8-7f1db189d584","resolution":{"observed_at":"2026-07-20T02:18:19.134304Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.153173Z","title":null,"venue":null,"work_id":"cf67035d-b93c-494a-be64-f95abb7cec50","year":2026},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:4ac3da833cb2c7bca1bbcf83b1a653ca59f79c4ad4802032cab2567cc9036e32","observation_id":"939a79ae-0922-4299-95fe-1c1b969c53f7","resolution":{"observed_at":"2026-07-08T20:35:35.154612Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.153329Z","title":null,"venue":null,"work_id":"a83d47fa-e3ec-4cee-89b5-080ba87ea0e7","year":2022},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:78474f493df62ff578e10b0f7505de5610bebd85dd35ef9e7c88b682d5a0a8f2","observation_id":"5e18e077-6325-44e1-888d-e47bc48ff0f5","resolution":{"observed_at":"2026-07-08T20:35:35.154753Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.132425Z","title":null,"venue":null,"work_id":"d0af1e8a-f3f3-4a49-84d2-e5c7863bc6e8","year":2014},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:2f4d1492abf4d7d907ee9487304567c6d8881f063dc085af2888df496a487779","observation_id":"c646d7c4-30fc-4893-921c-329ad56c0ed6","resolution":{"observed_at":"2026-07-08T20:35:35.133858Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.116446Z","title":"Kemmochi, Y","venue":null,"work_id":"6317d9a6-8566-4cac-9dd2-fe59eccb7046","year":2025},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:600bd3d96fdb0997952961789c73a38225659ecdd1f5e45abab54bb9e8f14de2","observation_id":"4c1a0162-5bae-4a74-bfb8-a293c9079c25","resolution":{"observed_at":"2026-07-08T20:35:35.117919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.118109Z","title":"Kov´ acs, B","venue":null,"work_id":"06f71490-ac7d-4f66-9be8-022674350948","year":2021},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:ff70e684edad46f049462defdb883516dc235e1824cb5931c137cfd793990afd","observation_id":"7de57f39-57b4-4e12-bb56-46db4879846d","resolution":{"observed_at":"2026-07-08T20:35:35.119416Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.109419Z","title":"Krause, A","venue":null,"work_id":"657955cd-c439-4f25-86bc-28ab37045347","year":2023},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:b8dcdca02ff1adbc4cec5722066f60a46637d6e2aea2f276a84fef548ea32166","observation_id":"bd58d1fb-bfa6-41d2-bd29-d632836875f9","resolution":{"observed_at":"2026-07-08T20:35:35.110812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.121839Z","title":"Kr¨ uger, M","venue":null,"work_id":"c3ccaacf-a556-4084-9374-a61a2380f6aa","year":null},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:be5bd01fc02b12cd05a2b0b53935b433cda82ae539f2936451722ee2301a2c1e","observation_id":"92aca8b4-3597-43f8-9c83-2cdec62c29b9","resolution":{"observed_at":"2026-07-08T20:35:35.123134Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.131784Z","title":"Laadhari, P","venue":null,"work_id":"63e4e5f9-4316-4799-a6f4-9459b2ebbfb8","year":2014},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:c782210254447cd0e5f9a42c9bb59f6e928fd9e1b86aa114efb645935e83f64c","observation_id":"b8ac29b6-a9be-46e2-8de6-bbb7467ab6d0","resolution":{"observed_at":"2026-07-08T20:35:35.133209Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.147607Z","title":"Masud, T.J","venue":null,"work_id":"640b50b9-d07b-40a2-bafa-c6a0900d275d","year":1997},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:d040c7d47300a4132f18b0e61f18e43451fdff2546b1d62cd465db031bac5b36","observation_id":"eabb7a27-c59f-4942-9012-c136317a89d7","resolution":{"observed_at":"2026-07-08T20:35:35.149147Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.168083Z","title":"Rodrigues, R.F","venue":null,"work_id":"9e5c5d23-fbf7-4798-8865-69889b9d38e5","year":2015},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:e430d9c0f259bdf3eacf140d5123a5ad67191c7f28c37fa975bfc8e1251f4a05","observation_id":"9d6fd791-0adc-42e4-8feb-c0d2b016ffd5","resolution":{"observed_at":"2026-07-08T20:35:35.169719Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.177903Z","title":"Rumpf, J","venue":null,"work_id":"e82bffb0-ac5d-4612-ae85-d728829376f8","year":2026},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:13de4a15f7cf356432a43761d8096ad9bdb1dacf6106ad69b5b47cd3c17557d5","observation_id":"cc24f63e-95bf-4a9e-8421-7657c2e928d3","resolution":{"observed_at":"2026-07-08T20:35:35.179038Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.179219Z","title":"Rusu, An algorithm for the elastic flow of surfaces, Interf aces Free Bound","venue":null,"work_id":"a53128e1-4ea0-42b0-b380-5d625b43800d","year":2005},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:264ec254905456e5934899de55dbe31fe735eb02b78de4fd36cf0a2f7dae522d","observation_id":"0650ad82-0b86-4f2e-8645-196cf0489387","resolution":{"observed_at":"2026-07-08T20:35:35.180867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:45:37.117466Z","title":"Salac, M.J","venue":null,"work_id":"4c436f05-35a2-46f8-a1ca-00f912211f94","year":2012},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:7e128f4a727096d3149096e31604f4294a0365a9ace32d85eb764b9f2f3cf06a","observation_id":"e37f92c2-4cba-4113-8544-75e1c446a2bf","resolution":{"observed_at":"2026-07-08T20:45:37.118869Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:45:37.115267Z","title":"Seifert, Configurations of fluid membranes and vesicles, Adv","venue":null,"work_id":"55069260-5790-476e-b6b7-5f6e9e5a2514","year":1997},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:6851b2050a4512578ff4430d7a3c0d284d1417f141684f197445cba8f2023431","observation_id":"e95b2414-9595-4093-92e0-06429132c5a8","resolution":{"observed_at":"2026-07-08T20:45:37.116768Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.164809Z","title":"Shi, T.W","venue":null,"work_id":"175da1a0-98df-489c-a585-0d99378f41a7","year":2014},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:8c78bae0a4597bd294a4db9b2af745283a754dcf2a7ccdb87d70a1913ce8321c","observation_id":"339d4300-04a8-457e-b674-a09f9803b5aa","resolution":{"observed_at":"2026-07-08T20:35:35.166194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.162557Z","title":"Willmore, Riemannian Geometry, Oxford University Press, 19 93","venue":null,"work_id":"ae785297-15e3-497a-a587-96624b833230","year":null},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:bcb03e83587004258b8f255f0d81f87b4da8c1b48226fffd6dc84f07ef91c1f2","observation_id":"e4244bf0-d78b-414d-a0e6-8232b29e951f","resolution":{"observed_at":"2026-07-08T20:35:35.164160Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-07-08T20:35:35.149348Z","title":null,"venue":null,"work_id":"aeeb039e-5891-4b73-a538-f04d2ed0a509","year":2021},"citing_paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-08T19:50:36.971906Z"},"links":{"citing_paper":"/paper/2607.05998"},"observation_digest":"sha256:99e7915f6937309aa24d83302cca2e2faee1256152b31ac6ac6d175e08f04098","observation_id":"695f5d23-72cc-489e-8102-089ce9c103f9","resolution":{"observed_at":"2026-07-08T20:35:35.150529Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.05998","last_updated":"2026-07-07T08:35:23Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-07T09:58:47.043791Z","submitted_at":"2026-07-07T08:35:23Z","title":"A unified energy-stable finite element approximation for evolving fluidic biomembranes"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":1,"verified_fuzzy":34},"total_outbound_references":42},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.05998."}