{"as_of":"2026-08-16T17:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:51c4ee4557c11ee071d88ec2f0170aa156d68d5aaaaf38942300688322986992","coverage":[{"denominator":33,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":33,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T05:53:49.504907Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:18:43.853496Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-14T13:18:46.030578Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"cited_work":{"arxiv_id":"1909.00922","doi":null,"metadata_source":"pith","pith_arxiv_id":"1909.00922","snapshot_observed_at":"2026-08-14T13:18:46.030578Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","venue":"math.AP","work_id":"7f5ff7b2-148b-4b08-874b-a0fe146fb48e","year":2019},"citing_paper":{"arxiv_id":"1908.05411","last_updated":"2020-04-27T23:30:36Z","snapshot_observed_at":"2026-08-16T11:13:27.026935Z","submitted_at":"2019-08-15T04:16:26Z","title":"Algebraic Representations for Volumetric Frame Fields","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:18:43.853496Z"},"links":{"cited_paper":"/paper/1909.00922","citing_paper":"/paper/1908.05411"},"observation_digest":"sha256:70ec51a64e1f53fe65924130c48d3cab94016daa633ced75d5375ac04bc53bea","observation_id":"fc5f6e22-cf21-4f88-9bd6-d3af1f17f3f1","resolution":{"observed_at":"2026-08-14T13:18:46.101951Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1909.00922/citation-record","integrity":"/paper/1909.00922/integrity","json":"/paper/1909.00922/citation-record.json","paper":"/paper/1909.00922"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1907.04757","last_updated":"2020-01-14T17:41:05Z","snapshot_observed_at":"2026-08-16T15:12:51.165070Z","submitted_at":"2019-07-10T14:39:47Z","title":"Thin Film Liquid Crystals with Oblique Anchoring and Boojums","version":2},"cited_work":{"arxiv_id":"1907.04757","doi":null,"metadata_source":"pith","pith_arxiv_id":"1907.04757","snapshot_observed_at":"2026-08-14T05:53:49.579638Z","title":"Thin Film Liquid Crystals with Oblique Anchoring and Boojums","venue":"math.AP","work_id":"5fd19828-ebd3-41e1-ad5b-3f769af4e2db","year":2019},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.361859Z"},"links":{"cited_paper":"/paper/1907.04757","citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:bcd958068b40505b32a7e35136fbdb8aaac5aabe0178c6fe28a668d18bf9c717","observation_id":"2931ee47-1c4c-4f28-9356-c2a823c58fbc","resolution":{"observed_at":"2026-08-14T05:53:49.584824Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:50.004412Z","title":"Bauman, D","venue":null,"work_id":"413d4f5b-6955-4dbe-aa95-ef50d92909a8","year":2019},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.367409Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:f53f1a8dc2cb3247eb7c917ad8aae5b46f576f0e94846a08649797e6a112a816","observation_id":"84d9272f-24c8-4ab0-991b-086ece803f24","resolution":{"observed_at":"2026-08-14T05:53:50.008818Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.989684Z","title":"Beaufort, J","venue":null,"work_id":"514d6207-05b7-4a17-88ad-bfa42aeae52b","year":2017},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.371987Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:ca91bc47a2f9981083efd9817be088115c2182fbcb1dd1e4ceefcb424c96f5ab","observation_id":"43ae3418-2eca-49bd-b4f1-57887da48a12","resolution":{"observed_at":"2026-08-14T05:53:49.994980Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.974827Z","title":"Bernard, J.-F","venue":null,"work_id":"63e4742b-f000-42c7-854d-d6e0d7cb1ce6","year":2014},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.376896Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:61c124e6371f2d7b7545291833fd17ac3b3be9019c351803525e57e393542ca6","observation_id":"918dda01-1bf4-45a6-8dc2-9ddee0d13c1e","resolution":{"observed_at":"2026-08-14T05:53:49.979324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.961100Z","title":null,"venue":null,"work_id":"a65d972a-6363-4164-bc47-4754847db5a7","year":1955},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.381223Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:2baf4ab38154227c985c6c9f79955978452b35d468249a2be02ca14fea0dcb5f","observation_id":"8dde6617-f30d-4420-bfd1-19f359c61c01","resolution":{"observed_at":"2026-08-14T05:53:49.965495Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.947543Z","title":"Bommes, H","venue":null,"work_id":"3dc55aef-f497-444c-9f4f-41b5a9e0f361","year":2009},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.385940Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:ff8440addb6f764873eec40d7e5a8cb1deffa185f9a4f36cdbb01fcf75c566f0","observation_id":"db333756-055f-4dd2-bc9a-686bf803d8d9","resolution":{"observed_at":"2026-08-14T05:53:49.951712Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.934292Z","title":"Chemin, F","venue":null,"work_id":"da4d9909-cfa7-4cdc-be14-c0f397af530a","year":2019},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.390981Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:511da8e44211e9e7729cafcba5dc382ed9ecd3f56b433a5c56aed8fb05cbab94","observation_id":"03eab9c0-68df-4e4f-b58d-6d525616b808","resolution":{"observed_at":"2026-08-14T05:53:49.938457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.921014Z","title":null,"venue":null,"work_id":"c4605698-2871-467b-8d2f-4ed2b81835e1","year":null},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.395700Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:d6c7d625a142009f88b97fdd3b477cb12717b0aff10c5bcd72c0767a83860e48","observation_id":"9f9721c2-7d43-4dd1-8046-02abcf522a57","resolution":{"observed_at":"2026-08-14T05:53:49.925488Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.907787Z","title":"Corman and K","venue":null,"work_id":"30d16ae5-9bd6-4e43-bec3-787ba13317fe","year":2019},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.400113Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:373ec7f0b45643b2772f83b104ffa4bd22c646ed4e83d587f2914abb552eed74","observation_id":"c4425c14-7671-4052-9433-2710193f1e80","resolution":{"observed_at":"2026-08-14T05:53:49.912022Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.894289Z","title":"Epstein and R","venue":null,"work_id":"a706f1f5-684b-4328-b20e-7e94c78506b1","year":2014},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.405273Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:25551c0c18ca17b49bb6ae793931886ba4e29d643b928d02356e6386db0e8e38","observation_id":"62d5d39d-10a0-46e6-b681-cee690d512f1","resolution":{"observed_at":"2026-08-14T05:53:49.898667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.880661Z","title":null,"venue":null,"work_id":"807d39de-34f4-4fe6-b448-64ad32bbfff4","year":2016},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.409826Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:a3965f048558e6a7b45a13483007c24f199779a29793503a854f844dfbea4b8b","observation_id":"832fceb8-6d45-4ac2-b450-65f26b7900ea","resolution":{"observed_at":"2026-08-14T05:53:49.885262Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.866734Z","title":null,"venue":null,"work_id":"b08488e6-711e-434f-997e-4476337871e2","year":2018},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.414371Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:fe7cebde6736c81d4056175dfffa9474bbf5aa176c76a00b1c91375a8ffa9b03","observation_id":"e42a7333-eed5-41dc-a1f1-c8a4f98c83c6","resolution":{"observed_at":"2026-08-14T05:53:49.871250Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.853117Z","title":null,"venue":null,"work_id":"0274d99c-0d8b-4ac0-892e-995a8e920be7","year":2017},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.418772Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:b78a179dad035704daaaed58e0120265a886713ac90ca15fd12f869c6b0fccd9","observation_id":"a9146063-9c12-4209-a015-2870daeb2112","resolution":{"observed_at":"2026-08-14T05:53:49.857462Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.838845Z","title":"Golovaty and J","venue":null,"work_id":"075f004c-9e9f-45e3-9003-a07a86fcfe9c","year":2014},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.422726Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:386b837b566cf1fb7b70af2a7080c1ee9e563900a98eb89b729bd833d4369d7d","observation_id":"d4cbab43-4aa1-404e-b125-dd2bb17357f5","resolution":{"observed_at":"2026-08-14T05:53:49.843605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.824544Z","title":"Huang, Y","venue":null,"work_id":"61a4e158-4d58-43c8-a71a-27c8ad178841","year":2011},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.426986Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:4a4ec300ab4c00b9b770f396f3ea7969263ea94e109a41474ef77b75308bcc8d","observation_id":"f8f900dd-e19e-47cc-b500-e9d920da298a","resolution":{"observed_at":"2026-08-14T05:53:49.829125Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.810690Z","title":"Kleman and O","venue":null,"work_id":"078a131a-fa87-4278-9d0a-f9edc1aaab3d","year":2006},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.431193Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:572d0411a9d18a8ee268ab846868d3549e9c598f6cf1ae58188120c49f0a25b6","observation_id":"be8a4344-d396-4f4b-9a47-b9ab257a2c17","resolution":{"observed_at":"2026-08-14T05:53:49.815223Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.796547Z","title":"Kn¨ oppel, K","venue":null,"work_id":"b992e071-4f6c-46c8-9036-622fa9246351","year":2013},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.435461Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:32206bcb2238ef44047f4a61b78ca5bb0531945400c8113765b0b41346723729","observation_id":"0da6fa0f-caab-454d-8e3d-f47e294b5d41","resolution":{"observed_at":"2026-08-14T05:53:49.801011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.782597Z","title":"Kowalski, F","venue":null,"work_id":"586856b6-acab-4db4-b73a-b255c136e4ea","year":2014},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.439723Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:8bdeb3a9df680de0fa5f482a2279535fde8f09b45db6be8c2d52192023501f6b","observation_id":"a2f3c3bf-9509-49a9-88ce-120deb7ad0c8","resolution":{"observed_at":"2026-08-14T05:53:49.786982Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.768703Z","title":"Kowalski, F","venue":null,"work_id":"4bca3a03-ee0a-4ba5-9c3b-b85fbab3974a","year":2016},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.444127Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:8c8920e3ca27aae0664bcbca6846e0905bf5b41b8c94e1adc63212ce7823c785","observation_id":"a0ec79a4-e53b-4014-a67d-154401d0b149","resolution":{"observed_at":"2026-08-14T05:53:49.773624Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.755246Z","title":null,"venue":null,"work_id":"425b450d-2c2d-4ee3-aedf-1f7dcbbf1d65","year":2012},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.448023Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:8da487c36193468c704209db80b91f196da6515e5f781831237e973223299b75","observation_id":"fb96bc90-0524-4e06-b785-3831fada4ef8","resolution":{"observed_at":"2026-08-14T05:53:49.759440Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.741898Z","title":null,"venue":null,"work_id":"97d982a8-05a0-4e6b-8093-df2d348a424f","year":2018},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.452161Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:46dd68bfc05e5e257f6cecfbe79b59bdfadac2ff8643fe52a5204e4fa4aa7195","observation_id":"d6c8b7e9-8a85-4736-a9b9-5b380fc1b2f0","resolution":{"observed_at":"2026-08-14T05:53:49.746212Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1409.3542","last_updated":"2014-09-12T06:03:38Z","snapshot_observed_at":"2026-08-14T23:19:48.973332Z","submitted_at":"2014-09-11T19:03:15Z","title":"Introduction to Q-tensor theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1409.3542","snapshot_observed_at":"2026-08-14T05:53:49.456424Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.456424Z"},"links":{"cited_paper":"/paper/1409.3542","citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:25a28667b8abb75e940039d84c0b646b8aab6e34d28363daf9e572a9f5f135eb","observation_id":"84befd2c-8305-418e-be95-29cddd7dde36","resolution":{"observed_at":"2026-08-14T05:53:49.456424Z","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":"2026-08-14T05:53:49.727185Z","title":"Nieser, U","venue":null,"work_id":"9c65a6c6-3986-47a5-ad2e-18fc55ddfe27","year":2011},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.460949Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:561beb62cb03acccd6a96437aa49f9c819da24638a3ed44ee045ac007a480cea","observation_id":"2bd111d9-d519-434f-9ea4-ce3ae9aaebfc","resolution":{"observed_at":"2026-08-14T05:53:49.732012Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.713251Z","title":"Palacios and E","venue":null,"work_id":"42f38135-7034-421b-8ff8-064c85817cbd","year":2007},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.465313Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:3bc935ebc913562000f5497f3ed48f99e064dae5e5f7bf17c1d8314331bc9e3d","observation_id":"5a58ff29-be1b-4262-ac41-f5505a8517b7","resolution":{"observed_at":"2026-08-14T05:53:49.717725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.05411","last_updated":"2020-04-27T23:30:36Z","snapshot_observed_at":"2026-08-16T11:13:27.026935Z","submitted_at":"2019-08-15T04:16:26Z","title":"Algebraic Representations for Volumetric Frame Fields","version":2},"cited_work":{"arxiv_id":"1908.05411","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.05411","snapshot_observed_at":"2026-08-14T05:53:49.539804Z","title":"Algebraic Representations for Volumetric Frame Fields","venue":"cs.GR","work_id":"b7455cd1-fdc0-4b11-955b-2ed4f8a8cc6e","year":2019},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.469575Z"},"links":{"cited_paper":"/paper/1908.05411","citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:ba99f914e05aa290deb30fb90909acbcbd10f4e8c6d780e0a6cb2877a10c77ad","observation_id":"0ecf9b0c-12b7-4322-b9f7-c82077455ecd","resolution":{"observed_at":"2026-08-14T05:53:49.546814Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.698064Z","title":"Ray and D","venue":null,"work_id":"b93e60a1-99cc-4691-8ac7-59948956ca38","year":2014},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.474006Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:aa7c95d04261bf07dd8e4e9a1a9f6a933a5c108a9f19ed3b711b2f7205cdaecd","observation_id":"7c2072ee-0b6f-40ae-ae92-7559e8acaf19","resolution":{"observed_at":"2026-08-14T05:53:49.703306Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.682685Z","title":null,"venue":null,"work_id":"c64ff46c-6e91-42dd-8ea1-1eb98d0884d9","year":2016},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.478362Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:cf36c6c9842d9565cd6d24a7830d23bd4259e82c273239286b690dab8b756822","observation_id":"4a2a1b6a-47f5-4db4-a7ea-3e7b6bb4a9f3","resolution":{"observed_at":"2026-08-14T05:53:49.687166Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.668924Z","title":null,"venue":null,"work_id":"54d1281d-baae-443f-95af-91d1c0d64faa","year":2008},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.482993Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:e39a78bfaeb04db422039c5950bfc67858af49d2c31714e2dececda183607750","observation_id":"52e7deec-3716-4af1-8451-8974a0d49d1d","resolution":{"observed_at":"2026-08-14T05:53:49.673361Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.652614Z","title":null,"venue":null,"work_id":"2c6fedcc-0b2a-4a9b-a607-7710e9ffcc02","year":2016},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.487325Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:025a3ff6b86608ecd0946589931eae04c4ec5fbafe0b48c1d8b03b81ecedcd40","observation_id":"f3dd88a9-4f10-41ed-ae43-e25b2047999e","resolution":{"observed_at":"2026-08-14T05:53:49.658209Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.638042Z","title":"Solomon, A","venue":null,"work_id":"7133b228-dc27-4243-8cba-d2e03ceaf0a1","year":2017},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.491742Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:bca707be7d7f2a878afadbf539a56d83616edc5a74b9964287144285c317e03d","observation_id":"efe43729-4599-41c0-a35c-4902e6cca1b3","resolution":{"observed_at":"2026-08-14T05:53:49.642423Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.623835Z","title":"Vaxman, M","venue":null,"work_id":"6fe18219-6c1c-4bd9-b7b8-be2ee92ce6e0","year":2016},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.496062Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:9d86d805bffca2e5b96a6ade9c9291cf47c1de6b3133d2a3ed60ec2aba0fa8b5","observation_id":"c2d33e60-8d9d-4dbc-94d6-a1137e569f72","resolution":{"observed_at":"2026-08-14T05:53:49.628283Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.608663Z","title":"Viertel and B","venue":null,"work_id":"3b3016ab-216c-4171-9377-5245a678a13a","year":2019},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.500454Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:6ab6d7f37fb1f4ef024e47ef4635cf1906bedf3e6bb47f4f9376868a3982f3c7","observation_id":"b317ee72-ea6f-4713-a3a6-ae0f53742762","resolution":{"observed_at":"2026-08-14T05:53:49.613312Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T05:53:49.594626Z","title":"Viertel, M","venue":null,"work_id":"1e88123a-2768-4655-8b33-905e8995b356","year":2016},"citing_paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T05:53:49.504907Z"},"links":{"citing_paper":"/paper/1909.00922"},"observation_digest":"sha256:5c6e026e97f7cc08c1609ac49c10eebe92cfd7ec231a61a7e2b0518cd753f34d","observation_id":"11e39a02-c986-436a-a258-f255f61c7f16","resolution":{"observed_at":"2026-08-14T05:53:49.599057Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1909.00922","last_updated":"2020-07-01T14:52:00Z","latest_version":3,"primary_category":"math.AP","snapshot_observed_at":"2026-08-15T23:51:35.675333Z","submitted_at":"2019-09-03T02:29:38Z","title":"A variational method for generating $n$-cross fields using higher-order $Q$-tensors"},"reference_resolution":{"displayed":33,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":2,"verified_fuzzy":20},"total_outbound_references":33},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:1909.00922."}