{"as_of":"2026-08-22T07:00:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3d6512aadbd20f593fad95a6b9192ebd88ccb40217cca985b2a090f3952746ed","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-22T02:21:58.131141Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T03:06:07.088100Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.22302","snapshot_observed_at":"2026-08-02T03:06:07.088100Z","title":"Damele,On finite perfect two-sided skew braces, preprint,2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.14059","last_updated":"2026-07-15T17:31:40Z","snapshot_observed_at":"2026-08-21T14:47:15.436363Z","submitted_at":"2026-07-15T17:31:40Z","title":"A Finite Skew Brace with Perfect Additive Group and Almost Simple Multiplicative Group","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T03:06:07.088100Z"},"links":{"cited_paper":"/paper/2605.22302","citing_paper":"/paper/2607.14059"},"observation_digest":"sha256:0fecedaf1276d02f9e462fa7ce7a1295160b1f8894cddc9aadc75322e89cae9e","observation_id":"6da00192-1df6-481a-a853-0a7c239a4ad7","resolution":{"observed_at":"2026-08-02T03:06:07.088100Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.22302","snapshot_observed_at":"2026-08-01T19:06:44.607990Z","title":"Damele, On finite perfect two-sided skew braces, Preprint, arXiv:2605.22302, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.17125","last_updated":"2026-07-21T09:36:31Z","snapshot_observed_at":"2026-08-14T19:06:17.864206Z","submitted_at":"2026-07-19T08:24:06Z","title":"Simple Skew Braces with Cyclic Sylow Subgroups","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T19:06:44.607990Z"},"links":{"cited_paper":"/paper/2605.22302","citing_paper":"/paper/2607.17125"},"observation_digest":"sha256:249f301c9a2f4808a56a5635eb25dd241293aa1e48cc09bdf01a5ec9415909fc","observation_id":"29417059-31c5-42da-92e5-e3c8a065cb2f","resolution":{"observed_at":"2026-08-01T19:06:44.607990Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.22302","snapshot_observed_at":"2026-08-01T11:20:12.022397Z","title":"Damele, On finite perfect two-sided skew braces, Preprint, arXiv:2605.22302, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.19955","last_updated":"2026-07-22T09:30:15Z","snapshot_observed_at":"2026-08-22T04:03:54.781440Z","submitted_at":"2026-07-22T09:30:15Z","title":"Ideals and Solvability in Skew Braces","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T11:20:12.022397Z"},"links":{"cited_paper":"/paper/2605.22302","citing_paper":"/paper/2607.19955"},"observation_digest":"sha256:428860d36d69a17b540b097589f7b0beac75ab9a2a75046ccff250bd69e96b93","observation_id":"a32c8e01-3f27-4ac4-84cc-0d5c288f15ac","resolution":{"observed_at":"2026-08-01T11:20:12.022397Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2605.22302/citation-record","integrity":"/paper/2605.22302/integrity","json":"/paper/2605.22302/citation-record.json","paper":"/paper/2605.22302"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/plms.12209","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Proceedings of the London Mathematical Society","work_id":"c99cc72e-f4c8-4c5c-a001-095723a485cb","year":2019},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:c41c38d3494819fbae2647ac744ad61288668309dc1c4935d2c638d6c86bcfd8","observation_id":"d66cb5fa-c38e-4eb9-b419-77e2f3283b7d","resolution":{"observed_at":"2026-05-22T02:24:30.883650Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-07-16T21:50:52.853351+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-16T21:50:52.853351+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"jmsj/9454945","doi":"10.2969/jmsj/94549454","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of the Mathematical Society of Japan","work_id":"797d919d-2f6f-441b-80a5-4745c33efe4d","year":2026},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:e1587a5cf47e8e212dd57e0c5ddfaad548258bd9d1ce694c78697f7d8142445c","observation_id":"da699a93-bc2c-432a-b49f-39a2c57ff3ea","resolution":{"observed_at":"2026-05-22T02:24:30.905941Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-05-22T09:52:53.930101+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-22T09:52:53.930101+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2024.109880","doi":"10.1016/j.aim.2024.109880","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Ballester-Bolinches, R","venue":"Advances in Mathematics","work_id":"ab4d5b6b-379b-46fa-abc0-50153cc4c133","year":2024},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:5b85a95df903923633dbb38e1540caf906f5c099f56edc84dded6de6c547f973","observation_id":"5078d9c3-82c0-4106-86a4-de5fd63e537c","resolution":{"observed_at":"2026-05-22T02:24:30.890086Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-05-22T09:52:54.425162+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-22T09:52:54.425162+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2603.22980","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Damele,Finite skew braces whose additive group is a Z-group","venue":null,"work_id":"794bc656-0703-4377-906e-411ac6cf7140","year":2026},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:4e2943748242d8a5a971d9043932516ff762c1caef8104f060b0fc1ee9ea1008","observation_id":"2e056cd5-3cfb-4a12-9a11-2d5d5f4a0be0","resolution":{"observed_at":"2026-05-22T02:24:30.944635Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00025-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T02:43:02.954260Z","title":"Ballester-Bolinches, R","venue":null,"work_id":"cbeef5df-a135-4f4d-af36-4af7a93f417e","year":2024},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:d870006ad2a5953ebc18416c3510be5372692da81cef50bacdb2992a5108a282","observation_id":"a783e2ce-a625-4244-a352-fb6393a1313e","resolution":{"observed_at":"2026-05-22T02:24:30.895652Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jalgebra.2023.05.003","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Trappeniers,On two-sided skew braces, Journal of Algebra631(2023), 267–286","venue":"Journal of Algebra","work_id":"a880fba3-1349-4259-856e-09fd7132f9f7","year":2023},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:7d5b1caf664b20d510dc250ad111fe2e4698fae32e15ddda5eba16da5695ac7d","observation_id":"099490b3-41b0-4672-bdf5-757b1d069ba8","resolution":{"observed_at":"2026-05-22T02:24:30.899767Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-05-22T09:52:54.786494+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-22T09:52:54.786494+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-06-05T21:23:00.469572Z","title":"Suzuki,Group Theory I, Grundlehren der mathematischen Wis- senschaften, vol","venue":null,"work_id":"d413cd20-c57d-49ae-8458-ca1ea8924c4f","year":1982},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:f357959b7d24678049b006c91b8314ff9f23efbf30f00de27866752c14f6a9c4","observation_id":"4dfcc150-a6bf-4636-9ea7-243735ca382b","resolution":{"observed_at":"2026-05-22T02:24:31.307276Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-06-05T21:23:00.469572Z","title":"Cedó and L","venue":null,"work_id":"4ac67cde-ab5e-4ee1-9dbc-203121bca5c0","year":2026},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:92f0b90826e56066c0ba2bc24283e672f954374d2a13439847224cc4fc1abfe0","observation_id":"87dc450f-c848-45ef-ad4f-ef39aee5b9b9","resolution":{"observed_at":"2026-05-22T02:24:31.304868Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/mcom/3161","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Guarnieri, L","venue":"Mathematics of Computation","work_id":"3c7e798b-05ba-4828-b1c2-f98d25f80312","year":2017},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:d4164436afe36d00e540b85b3ca75b7fae8f7d79ce14be42063723ebb4aa3282","observation_id":"8e229492-975b-4233-864c-fccd0e89c262","resolution":{"observed_at":"2026-05-22T02:24:30.880246Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-07-16T21:50:49.350829+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-16T21:50:49.350829+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jalgebra.2006.03.040","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Rump, Braces, radical rings, and the quantum Yang-Baxte r equation, J","venue":"Journal of Algebra","work_id":"3d3365f6-55e8-4da9-b4c6-ddcf96f6c3ee","year":2007},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:eddaaff95b4b64ed4153cc42d57b0d85383e70534c23316b3cfff40d24b9d2dc","observation_id":"04081d7e-b4ea-4aa1-8748-63f9245ce5dc","resolution":{"observed_at":"2026-05-22T02:24:30.902659Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-07-16T21:50:52.045026+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-16T21:50:52.045026+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/blms.12407","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Bulletin of the London Mathematical Society","work_id":"71ffe87e-ca6a-42ae-b71a-24a8cb641454","year":2021},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:f2f18d09d1ef0b8e5a54c012d3b3d7b7f07f84d65f69410f43ce7137ea3bc036","observation_id":"5df55007-a615-4396-9522-7918377439bf","resolution":{"observed_at":"2026-05-22T02:24:30.882111Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-05-22T09:52:56.10908+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-22T09:52:56.10908+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4171/jca/2-1-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Smoktunowicz and L","venue":"Journal of Combinatorial Algebra","work_id":"87b13760-8fba-4529-9569-332018da3d04","year":2018},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:5c65801a718a5fd14222703116d6b5233ebc24c27d1a28d9bfc1c553388dddc0","observation_id":"bbf1be5b-3cb1-4009-83c7-d76a34c4225f","resolution":{"observed_at":"2026-05-22T02:24:30.886177Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-05-22T09:52:56.528348+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-22T09:52:56.528348+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jalgebra.2019.05.005","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Nasybullov,Connections between properties of the additive and the multiplicative groups of a two-sided skew brace, J","venue":"Journal of Algebra","work_id":"a2e36842-ff07-44f0-823a-f8255ed23259","year":2019},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:f549a51e62ef01e0e533a92ac0f30259733ff6b58f08e17803c972f9d6440777","observation_id":"3c4b3d0d-fb3c-4f07-92c0-3ef6acae319d","resolution":{"observed_at":"2026-05-22T02:24:30.893249Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-05-22T09:52:56.952905+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-22T09:52:56.952905+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s0219498826502300","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of Algebra and Its Applications","work_id":"cfe801c3-9955-47f6-801c-ef83e6e3c514","year":null},"citing_paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-22T02:21:58.131141Z"},"links":{"citing_paper":"/paper/2605.22302"},"observation_digest":"sha256:4861db32d7c05a5d1a485f045a8352ffb8554243db6f7eb0892e13902a49f82b","observation_id":"af7ab2ce-defe-425c-9fdd-35c13e77b757","resolution":{"observed_at":"2026-05-22T02:24:30.879808Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-05-22T09:52:57.405039+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-22T09:52:57.405039+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2605.22302","last_updated":"2026-05-21T10:48:35Z","latest_version":1,"primary_category":"math.GR","snapshot_observed_at":"2026-08-16T03:04:08.974210Z","submitted_at":"2026-05-21T10:48:35Z","title":"On finite perfect two-sided skew braces"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":11,"verified_fuzzy":2},"total_outbound_references":14},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 3 inbound Pith citation observations for arXiv:2605.22302."}