{"as_of":"2026-08-13T02:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6e50fd0dc4fa17017c6de38c6eba3db52cc3c5310b9c156125261a823de6543e","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T11:26:01.829643Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2411.18284/citation-record","integrity":"/paper/2411.18284/integrity","json":"/paper/2411.18284/citation-record.json","paper":"/paper/2411.18284"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.754344Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.754344Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:57adc0513c09f4e3496ade072325979558439d5cfe031c863acbcd2708cf78ed","observation_id":"60bd46d3-5de8-4373-908b-1a0cca1939e3","resolution":{"observed_at":"2026-08-12T11:26:01.754344Z","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":"2026-08-12T11:26:02.059621Z","title":null,"venue":null,"work_id":"00b835a2-ee10-4d54-b96a-cbc8184b9e8e","year":1972},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.759364Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:40fec2df9b734a64245d66a330c5b23cb86cdaf2b5c1530e0e29d6ad6886b992","observation_id":"90b3f2a6-3112-48f6-aa95-d1dcb3b96f39","resolution":{"observed_at":"2026-08-12T11:26:02.063417Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:02.047734Z","title":null,"venue":null,"work_id":"44201e9e-9bb2-41a3-b762-c55ac7e1470f","year":1978},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.764478Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:e3cc86b51ed7eee0d778214a7461e5684d2879f8a93e395ac925af6640dfcd76","observation_id":"fefdb463-62b5-414a-b243-b064bef6a193","resolution":{"observed_at":"2026-08-12T11:26:02.051974Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:02.035853Z","title":"Caﬀarelli, R","venue":null,"work_id":"e2785b91-7738-4d77-9f69-8009cb542e05","year":1982},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.768369Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:2442ccc7961cf4a589b480b9465dc99022764c01976d6d6fa98fb532dde2c935","observation_id":"8b7e37ab-339d-4b0c-b743-254411e61686","resolution":{"observed_at":"2026-08-12T11:26:02.039983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:02.021754Z","title":null,"venue":null,"work_id":"d9a8400e-003b-4577-8804-d3b99f132352","year":2015},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.772602Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:82ae3a4a4ca56e2586f64bf3c3b7dc1ad628359ed27e9df858938710fdb1ec6e","observation_id":"fecc64cd-351e-4112-8d7c-ec3f9622e11b","resolution":{"observed_at":"2026-08-12T11:26:02.025732Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:02.010483Z","title":null,"venue":null,"work_id":"2ee6ac99-a2d4-4e8c-90bb-498addd950a5","year":1990},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.777361Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:7c5d1d28f5f7a1b5d2f054be084eccf2e29991c7f5e3c8092e20a54e8a05689f","observation_id":"c0aa202a-cc00-4e07-a8b5-adfbac0c329e","resolution":{"observed_at":"2026-08-12T11:26:02.014166Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.999870Z","title":"Kasai and Y","venue":null,"work_id":"9ec9998c-f35a-4d70-b0fd-15cc82886f6a","year":2014},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.781709Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:166a6473626257148f6cdd97ba1a0115a5b1b9cf89d8bf9aa134205e40590d82","observation_id":"7c662a33-71a1-476e-b20a-e4c3e87d9311","resolution":{"observed_at":"2026-08-12T11:26:02.003498Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.989439Z","title":"Kim and Y","venue":null,"work_id":"fc1ca018-3562-4f2e-9297-ee4d6c6a079c","year":2017},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.786255Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:95f6f07579c1f11ba38f76599250255ef262e690467b5d6b5bb6b4a5db2a3955","observation_id":"6112b0c8-330a-4b05-b6bc-fef2b96fd916","resolution":{"observed_at":"2026-08-12T11:26:01.993225Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.979116Z","title":"Kim and Y","venue":null,"work_id":"93bce1fd-e036-4e2f-87ba-e6bd21e9574b","year":2020},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.790644Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:b0928c8650810aa985fed8d1ddbf78bdc67c2b5e1490e0205c4ddbf282776514","observation_id":"fafc02d6-7137-4e84-b03b-663167611c6f","resolution":{"observed_at":"2026-08-12T11:26:01.982656Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.967924Z","title":null,"venue":null,"work_id":"0158cf4f-ac55-41ab-8f2c-0958c78f390a","year":2010},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.795073Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:3052312606b1066328d82611ca7bff7452b7a8df9e66d284572f018a5642c140","observation_id":"1ec79867-f340-4998-bfdb-05c564f2b923","resolution":{"observed_at":"2026-08-12T11:26:01.971856Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.956149Z","title":null,"venue":null,"work_id":"8aa89cc7-85ab-44f7-8d96-511bba56a64e","year":2012},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.798976Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:fa6240e39249299f7fe7dc24eca71267c78b03f73790ec538348983f2cf1c133","observation_id":"4882d691-0085-4886-a189-77ad37cb227f","resolution":{"observed_at":"2026-08-12T11:26:01.960067Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.943793Z","title":null,"venue":null,"work_id":"c2cbcc97-c9ee-41e4-9c00-32c8289c2d5f","year":2012},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.803563Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:c896cbc493b0b003187565a5df5c9865333d3b9309758e4f0f58ff604d5d90cb","observation_id":"31af080c-ea9d-4cfa-802f-3082308371ae","resolution":{"observed_at":"2026-08-12T11:26:01.948218Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.932986Z","title":null,"venue":null,"work_id":"b93e515a-2d7b-4f30-bef0-054cdb980e40","year":1977},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.807595Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:6b199ab685d7cb97049015194c5050dc1da9d913287087ebf9a901026fa6736c","observation_id":"0887218e-1433-44b0-afc6-fa38d129380b","resolution":{"observed_at":"2026-08-12T11:26:01.936843Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.920363Z","title":"Pozzetta","venue":null,"work_id":"a0bd532d-9d7d-4f8e-85a5-04b20b15f799","year":2020},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.811239Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:bb09b1a271ef49d2caf68e74fcfee3a2df5c9d307a7980cda2b688e72be37b66","observation_id":"a6ec2011-2bf0-463e-b3c4-c0c6b7a02e7c","resolution":{"observed_at":"2026-08-12T11:26:01.924668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.906532Z","title":null,"venue":null,"work_id":"86131b70-9a67-4afa-a3cd-54e357a6617b","year":1983},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.814922Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:1d32361eed6e86e04acde1904dbcd6b125d14c8b2f1c429f2e6438d7fcdcafd5","observation_id":"27489f38-301d-4a47-90a5-5b45b14005ac","resolution":{"observed_at":"2026-08-12T11:26:01.910925Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.894462Z","title":"Stuvard and Y","venue":null,"work_id":"507a8faa-dd0a-4915-87f4-01859d5ef5d4","year":2021},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.818509Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:9677c072c283f6355f42b22273f6057ee1a23de6133778792ea6f0c9d98685d6","observation_id":"8521cd2b-45d4-49aa-88bf-7bd66f30aa4b","resolution":{"observed_at":"2026-08-12T11:26:01.898427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.881712Z","title":"Stuvard and Y","venue":null,"work_id":"071653cd-eb7d-4ba6-9226-abad6af44091","year":2024},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.821944Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:fbce8930f8ae710f7506c979fdf95f3d3cb82b614b501933450bcf7951e0d8f5","observation_id":"a59a5d68-695e-4025-8ab9-bb5245e165e7","resolution":{"observed_at":"2026-08-12T11:26:01.885387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.870210Z","title":"Takasao and Y","venue":null,"work_id":"75ad5bdd-dbd8-4607-9048-cee5fbedb7cb","year":2016},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.825749Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:43e4d605e5d1ef9f7788bac971651b1c5701634d5923228f5cc7adc1fc7214cb","observation_id":"618f38c1-ee67-4bd2-ba8c-25fd02d11f26","resolution":{"observed_at":"2026-08-12T11:26:01.873912Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:26:01.857391Z","title":"Tonegawa","venue":null,"work_id":"267977a3-4914-498b-a884-4ba06dfcdb07","year":2019},"citing_paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T11:26:01.829643Z"},"links":{"citing_paper":"/paper/2411.18284"},"observation_digest":"sha256:b1c59a98115706bd87726a30fab603fe728c8e61c69725d91e38a0d21987eb1a","observation_id":"9722f342-c31b-47f0-944d-e2c5d109bb70","resolution":{"observed_at":"2026-08-12T11:26:01.862573Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.18284","last_updated":"2026-07-22T07:11:54Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-12T11:18:43.322014Z","submitted_at":"2024-11-27T12:16:08Z","title":"Existence of curvature flow with forcing in a critical Sobolev space"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":0,"verified_fuzzy":9},"total_outbound_references":19},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2411.18284."}