{"as_of":"2026-08-20T05:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:218cab3898f1b1fb6198a9887ac271aed6b473ec1947d73c977fadbe81dbcf5f","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T20:56:40.164124Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2608.03332/citation-record","integrity":"/paper/2608.03332/integrity","json":"/paper/2608.03332/citation-record.json","paper":"/paper/2608.03332"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:56:42.652979Z","title":"Existence of a stable shrinker for the coro- tational harmonic map heat flow in higher space dimensions, 2026","venue":null,"work_id":"6e74f492-278a-42ff-9f29-86ed8b2499b7","year":2026},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:37.751406Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:5763f485ca9a90b63f57593b801955c2b7ede51a51e8d6007ee0532391fa7c20","observation_id":"058dae94-f835-47d1-a4f0-543cd7f24d20","resolution":{"observed_at":"2026-08-05T20:56:42.725298Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:42.516568Z","title":"Besse.Manifolds all of whose geodesics are closed, volume 93 ofErgebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas]","venue":null,"work_id":"4de4154c-d993-45ef-8077-f2a682520d37","year":null},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:37.826273Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:934d9e327a2e81e3acf49c08030a0df90d0cbcfa42b91fcd508a5bb108ddea72","observation_id":"c74058da-b8b4-4e49-8e5c-bbbd81e265d1","resolution":{"observed_at":"2026-08-05T20:56:42.582279Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:42.251014Z","title":"Non-self-similar blow-up in the heat flow for harmonic maps in higher dimensions","venue":null,"work_id":"5214a118-34ea-4807-b8cf-b57c6d60a915","year":2015},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:38.099379Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:11cfd3320e09ff8290015f524485956422388897924dc90d555388580ededbc1","observation_id":"c3020fc7-3429-4b98-b5d0-3fa307816b5d","resolution":{"observed_at":"2026-08-05T20:56:42.316274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:42.090807Z","title":"Construction of a spectrally stable self-similar blowup solution to the supercritical corotational harmonic map heat flow.Nonlinearity, 31(8):3543–3566, 2018","venue":null,"work_id":"92a820e2-7a15-4b20-84d0-315ea1983535","year":2018},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:38.245455Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:772a0beb12db4a6f9cea72a6f2b4c9edb929af02792c111ac128f022a6fcb785","observation_id":"350b2876-0c09-4c90-8b7d-a80ea0a0d627","resolution":{"observed_at":"2026-08-05T20:56:42.176807Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:41.950929Z","title":"Stable self-similar blowup in the supercritical heat flow of harmonic maps.Calc","venue":null,"work_id":"3ac7c314-200b-4b8d-a9f1-f661992faffa","year":2017},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:38.407757Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:3c6f2725b6f342a59cf3e71badf15c246f6df701dd7c312a53658336850f1924","observation_id":"54907682-eaf5-439c-8e1d-fd77af29ec43","resolution":{"observed_at":"2026-08-05T20:56:42.009427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:41.764824Z","title":"Nonexistence of shrinkers for the harmonic map flow in higher dimensions.Int","venue":null,"work_id":"86e5bcbc-59ec-40c6-90cb-5f51459aee91","year":2015},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:38.569993Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:377ddf4f476d1fb9220a69b874500fed9f57a8916d09ee48af2a698542502d03","observation_id":"f49d01c1-3825-4deb-8058-1fcb354d01bd","resolution":{"observed_at":"2026-08-05T20:56:41.860592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:41.606700Z","title":"Finite-time blow-up of the heat flow of harmonic maps from surfaces.J","venue":null,"work_id":"3692e7c5-c19b-4243-ace0-27953a93c122","year":1992},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:38.718424Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:df16e26f108011bc92ee8a1b4074a32b3a5d0302cc7be301ce25ab850f31a1de","observation_id":"5bc0ff17-5805-4c23-9d71-5a554197b0d9","resolution":{"observed_at":"2026-08-05T20:56:41.691416Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:41.445163Z","title":"Explosion en temps fini pour le flot des applications harmoniques.C","venue":null,"work_id":"43d72e29-9d87-4e11-890b-c5ae899519ac","year":1989},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:38.839564Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:94e49f75175927610d985900312da5c9cf047001c2ab0a8437e1a61c964afd80","observation_id":"9c5ac9e6-9b87-4c2c-9e8b-e3f38e05471c","resolution":{"observed_at":"2026-08-05T20:56:41.532118Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.04425","last_updated":"2025-03-06T13:34:00Z","snapshot_observed_at":"2026-08-16T12:52:30.342304Z","submitted_at":"2025-03-06T13:34:00Z","title":"Stable blowup for supercritical wave maps into perturbed spheres","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.04425","snapshot_observed_at":"2026-08-05T20:56:38.964888Z","title":"Stable blowup for supercritical wave maps into perturbed spheres.arXiv preprint arXiv:2503.04425, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:38.964888Z"},"links":{"cited_paper":"/paper/2503.04425","citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:335c1434678d8948e0ccf0e3ce3ee855ee7e45c3bcc6bf482eaaef00b3dea79f","observation_id":"13790785-976d-4a2d-9c78-9f189e8c46fc","resolution":{"observed_at":"2026-08-05T20:56:38.964888Z","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":"2026-08-05T20:56:41.309302Z","title":null,"venue":null,"work_id":"3472a666-1853-4752-9fb2-fabd1be2794c","year":1964},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:39.116581Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:52cdf0425f62ac084e0b3e14cea6d194464c2e930e4cc893d8d93cde59453d98","observation_id":"d3f1a93c-4199-42a2-b52e-5e2e8031f120","resolution":{"observed_at":"2026-08-05T20:56:41.355163Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:41.168941Z","title":"Springer-Verlag, New York, 2000","venue":null,"work_id":"1037b437-d7d1-43d3-ab3a-0d28aead55a9","year":2000},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:39.249936Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:1c5e3225c2734a1a45212704078291377609368b3a99e7262bdc53c141d59829","observation_id":"1f52d912-b8e3-453c-8abd-fe53b6eb369c","resolution":{"observed_at":"2026-08-05T20:56:41.247245Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:41.061165Z","title":"Existence of the self-similar solutions in the heat flow of harmonic maps.Sci","venue":null,"work_id":"38071a68-6628-471d-ab90-8097ac440efd","year":1999},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:39.378414Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:a417cd58a618a30a8d6584d894bab886d63ca7b8225e4d1a753aaec7b44f434a","observation_id":"1259d883-c381-476e-a33b-3e343365b5a6","resolution":{"observed_at":"2026-08-05T20:56:41.108805Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:40.937671Z","title":"Singularities of first kind in the harmonic map and Yang-Mills heat flows.Math","venue":null,"work_id":"8fae60c1-991d-4baa-8341-a4631099e8a7","year":2002},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:39.493093Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:bd8245fdd13d19d6dbd8f17f3852ec9fe2d97748c58a1d03f7661c3c2ffdcb3c","observation_id":"bb9e79ec-dfb5-4720-ba66-344adc8854a9","resolution":{"observed_at":"2026-08-05T20:56:40.991115Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:40.842087Z","title":"Stable blowup for the supercritical hyperbolic Yang-Mills equations.Adv","venue":null,"work_id":"946f1dbb-0135-454c-b324-baac1dfb555e","year":2022},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:39.614694Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:3b40a719a7033e12bafbf9f1f89f329d7e488ff6eb73db1054369b5c35b736bb","observation_id":"92b24304-9dc4-41b0-8a9b-f89136ca0d2c","resolution":{"observed_at":"2026-08-05T20:56:40.892144Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:40.710006Z","title":"Existence and stability of shrinkers for the harmonic map heat flow in higher dimensions.Calc","venue":null,"work_id":"99aaf380-e07a-4e72-9ed1-187f9b252f7e","year":2024},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:39.702770Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:1a6ba3b4f3ed9dcd6ab0b8e53abe3eebd931a61591598aa90a39a3b06f50f678","observation_id":"132f98a6-3d4d-40d7-abc8-e9f42f13132e","resolution":{"observed_at":"2026-08-05T20:56:40.767790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:40.613438Z","title":"Classics in Mathematics","venue":null,"work_id":"f9499f38-5441-41a0-a6b6-02f859d18e57","year":null},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:39.834431Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:74e82e76d5bdff069faf87200b8cebf0bc305a25893c21fbf895ccded9425e8a","observation_id":"d2cafb26-2806-413e-8414-9a35c33113b7","resolution":{"observed_at":"2026-08-05T20:56:40.645128Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:40.448000Z","title":"World Scientific Publishing Co","venue":null,"work_id":"07ef4ce1-b40a-4f93-a2a9-3c193b028320","year":2008},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:40.004755Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:2bcd87157e2c30ece271d1335f6ad7a5e988cd0e4699e79195073c4c168b013f","observation_id":"4f12b348-675f-40b8-8551-84f6de9671dc","resolution":{"observed_at":"2026-08-05T20:56:40.537120Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:40.070370Z","title":"Stable blowup for focusing semilinear wave equations in all dimensions.Trans","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:40.070370Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:032d6fda1ec643d2b3e805159d8097802665cde03ee38acbdbf81cf7ccb34932","observation_id":"0ea5ac30-8e76-4455-bfa5-2f2ca9037619","resolution":{"observed_at":"2026-08-05T20:56:40.070370Z","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":"2026-08-05T20:56:40.125261Z","title":"Shadi Tahvildar-Zadeh","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:40.125261Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:259566ae48f2b5d06069258439e3260b7139a84bce2fca35b7d8bf05e9b78023","observation_id":"10e8e86e-9874-4c03-8b0a-dad83b885f75","resolution":{"observed_at":"2026-08-05T20:56:40.125261Z","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":"2026-08-05T20:56:40.291240Z","title":"On the evolution of harmonic maps in higher dimensions.J","venue":null,"work_id":"33cb1550-ead5-4b57-897f-1da3106f3868","year":1988},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:40.164124Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:6a38012a3a7fa65bce4bc0cd71cb122728597da721ba9599034b05eb982ec927","observation_id":"a62056a9-18f4-4e4e-afc9-d743ba6a7cc8","resolution":{"observed_at":"2026-08-05T20:56:40.363275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:42.367441Z","title":null,"venue":null,"work_id":"3d83f741-5565-417b-a8f4-74f9c116c5cd","year":null},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":1978,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:37.940408Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:8980c9ff1309b81502b471c0a7b60d6d5fef6a7a228d4e72b6baeb6ca29e6491","observation_id":"307730bb-f944-49b4-9149-405146c4c6b7","resolution":{"observed_at":"2026-08-05T20:56:42.448470Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-05T20:56:39.936071Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres","version":1},"reference_index":1995,"source":"pdf_text","source_observed_at":"2026-08-05T20:56:39.936071Z"},"links":{"citing_paper":"/paper/2608.03332"},"observation_digest":"sha256:17730264ef01909f952af10206635701165e3894472ca427b1705323d0aaa13b","observation_id":"10db9270-9cfd-4076-b06e-97eb8e92ec4a","resolution":{"observed_at":"2026-08-05T20:56:39.936071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.03332","last_updated":"2026-08-04T08:43:02Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-18T16:09:21.993956Z","submitted_at":"2026-08-04T08:43:02Z","title":"Stable blowup for the harmonic map heat flow into perturbed spheres"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":16},"total_outbound_references":22},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.03332."}