{"as_of":"2026-08-21T21:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a64d0ba8b206d9e74b1a07661d46025664fcdc0f7c595a7af97322a005c8a971","coverage":[{"denominator":13,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T20:42:41.265233Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T11:44:14.550077Z","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":"2026-08-10T22:30:00.887424Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.09532","snapshot_observed_at":"2026-08-12T14:32:47.170038Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.15358","last_updated":"2025-04-21T12:18:51Z","snapshot_observed_at":"2026-08-14T20:08:55.572488Z","submitted_at":"2024-11-22T22:07:26Z","title":"Rota-type operators on 2-dimensional dendriform algebras","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T14:32:47.170038Z"},"links":{"cited_paper":"/paper/2411.09532","citing_paper":"/paper/2411.15358"},"observation_digest":"sha256:a9222042f12453e0263e30c498d23628c4137c858bea8dd1939a2f1fd163d4b3","observation_id":"94309dd4-efc0-443b-9078-60d6ae52c5f6","resolution":{"observed_at":"2026-08-12T14:32:47.170038Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.09532","snapshot_observed_at":"2026-08-12T14:12:43.379594Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-20T14:02:09.703507Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.379594Z"},"links":{"cited_paper":"/paper/2411.09532","citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:e8c0a45efaf6cbea40d03c70e733c52c0a0e6a8d022a548c7e782829ca74db1e","observation_id":"55c17a20-a543-4ff2-a39b-0348ca1cc833","resolution":{"observed_at":"2026-08-12T14:12:43.379594Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.09532","snapshot_observed_at":"2026-08-10T23:24:04.177443Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.20599","last_updated":"2024-12-29T22:11:14Z","snapshot_observed_at":"2026-08-13T23:39:01.462615Z","submitted_at":"2024-12-29T22:11:14Z","title":"An Algorithmic Approach to Inner Derivations of Low-Dimensional Zinbiel Algebras","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T23:24:04.177443Z"},"links":{"cited_paper":"/paper/2411.09532","citing_paper":"/paper/2412.20599"},"observation_digest":"sha256:568c0a3172c5f9ecc3717c3671cb0c5063c337fbdef6808b3f3427f671f4ab87","observation_id":"1699f9b5-e05c-4fb2-8c9b-1cdb266373a6","resolution":{"observed_at":"2026-08-10T23:24:04.177443Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"cited_work":{"arxiv_id":"2411.09532","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.09532","snapshot_observed_at":"2026-08-10T22:30:00.887424Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","venue":"math.RA","work_id":"82501d30-ace9-41ff-b4b3-73b7f2a794ea","year":2024},"citing_paper":{"arxiv_id":"2501.01500","last_updated":"2025-01-02T19:03:44Z","snapshot_observed_at":"2026-08-14T19:51:09.294191Z","submitted_at":"2025-01-02T19:03:44Z","title":"Computational Approaches to Derivations and Automorphism Groups of Associative Algebras","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T22:30:00.706270Z"},"links":{"cited_paper":"/paper/2411.09532","citing_paper":"/paper/2501.01500"},"observation_digest":"sha256:c89fe9f945b902a07f98346513b86742f50e80f3e7494c4d63ad30caf1082068","observation_id":"b6f1312e-b8de-4ea3-acf0-a43f92c781f5","resolution":{"observed_at":"2026-08-10T22:30:00.892833Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.09532","snapshot_observed_at":"2026-08-16T11:44:14.550077Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.15064","last_updated":"2025-04-21T12:49:13Z","snapshot_observed_at":"2026-08-18T21:56:13.995733Z","submitted_at":"2025-04-21T12:49:13Z","title":"Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-16T11:44:14.550077Z"},"links":{"cited_paper":"/paper/2411.09532","citing_paper":"/paper/2504.15064"},"observation_digest":"sha256:ea29e08628ff6014c95709adcd3bddd987577c6b57ec7d435510c033edf5e33d","observation_id":"0d8d2054-e0ef-43b5-9f08-9c13fc25a5f9","resolution":{"observed_at":"2026-08-16T11:44:14.550077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.09532","snapshot_observed_at":"2026-08-16T05:38:57.870233Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.20297","last_updated":"2025-04-28T22:41:47Z","snapshot_observed_at":"2026-08-16T05:30:34.259765Z","submitted_at":"2025-04-28T22:41:47Z","title":"Rota-Type Operators on 2-Dimensional Pre-Lie Algebras","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T05:38:57.870233Z"},"links":{"cited_paper":"/paper/2411.09532","citing_paper":"/paper/2504.20297"},"observation_digest":"sha256:0b7d4ffce617d706a268f51c293f32b60ddc6f14a00fb8b672d872ece1b81547","observation_id":"a74a4279-4deb-4720-9f50-2e4197fed364","resolution":{"observed_at":"2026-08-16T05:38:57.870233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2411.09532/citation-record","integrity":"/paper/2411.09532/integrity","json":"/paper/2411.09532/citation-record.json","paper":"/paper/2411.09532"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T20:42:41.196084Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T20:42:41.196084Z"},"links":{"citing_paper":"/paper/2411.09532"},"observation_digest":"sha256:2a73deef3e348c6e461227eec2292bcd37ba12cb7372ab529e39b40409ce3936","observation_id":"4834b694-09f8-42f2-bf10-893c53fd7ccc","resolution":{"observed_at":"2026-08-12T20:42:41.196084Z","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":"2026-08-12T20:42:41.507328Z","title":"(2019, June)","venue":null,"work_id":"e86f459d-de21-40f0-9aef-9b4ac17bcd57","year":2019},"citing_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T20:42:41.202834Z"},"links":{"citing_paper":"/paper/2411.09532"},"observation_digest":"sha256:44fe1a1de0c378a88d63c93e7debde0ddecd6bcabcc85ac693d932d4594ac9f4","observation_id":"2e17104e-f02f-42ea-b723-15aaf983ec05","resolution":{"observed_at":"2026-08-12T20:42:41.515190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:42:41.480331Z","title":null,"venue":null,"work_id":"6959ca28-6faa-4c40-9d2d-ad81d76087fa","year":2019},"citing_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T20:42:41.207500Z"},"links":{"citing_paper":"/paper/2411.09532"},"observation_digest":"sha256:76cda6c03437dc0895c0e96fa4a1c50f92cb03ff6989a01c3ddc7e7a2b0934f3","observation_id":"66d019c4-c7e0-4059-bb07-7a6ea5fca235","resolution":{"observed_at":"2026-08-12T20:42:41.490244Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:42:41.212420Z","title":"L., Chapoton, F., Frabetti, A., Goichot, F., & Lo day, J","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T20:42:41.212420Z"},"links":{"citing_paper":"/paper/2411.09532"},"observation_digest":"sha256:f5653698336a8ac8f55c7a39a1c731e8d59e94d31188e80b31856d5bce71f752","observation_id":"1ccabaac-ba02-4d72-910a-46b759605d30","resolution":{"observed_at":"2026-08-12T20:42:41.212420Z","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":"2026-08-12T20:42:41.450675Z","title":"Q., Omirov, B","venue":null,"work_id":"12ddf88d-17c8-4659-b3e9-2e9bedb4971c","year":null},"citing_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T20:42:41.217731Z"},"links":{"citing_paper":"/paper/2411.09532"},"observation_digest":"sha256:b920a651f7ef3109cad42d8befbc05a89571b1866f6538f9e4d0111fdd533114","observation_id":"ba041525-b485-4a52-b45d-1e9331657839","resolution":{"observed_at":"2026-08-12T20:42:41.456233Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:42:41.427675Z","title":null,"venue":null,"work_id":"34d41b77-6695-4a03-acd5-deb863020b9f","year":2022},"citing_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T20:42:41.222883Z"},"links":{"citing_paper":"/paper/2411.09532"},"observation_digest":"sha256:a30d94f036dc75601778a7946022723a1c5ba9ffd52af8191e0df0483a4359cd","observation_id":"586cca77-1dc6-4a4d-b3cb-068522114de3","resolution":{"observed_at":"2026-08-12T20:42:41.433280Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:42:41.407578Z","title":"Analele ¸ stiint ¸iﬁce ale Universit˘ at ¸ii”Ovidius” Constant ¸a","venue":null,"work_id":"5a60a7ca-a697-427c-93a8-a9a5599df3ad","year":2005},"citing_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T20:42:41.230008Z"},"links":{"citing_paper":"/paper/2411.09532"},"observation_digest":"sha256:0b6ac4496914f302e4ee01a4b2ff67143c9f66b9d338840d2ae19b01b2dc8dd6","observation_id":"0d196d69-77e8-4373-a94c-b49df6413bfe","resolution":{"observed_at":"2026-08-12T20:42:41.417264Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:42:41.390016Z","title":null,"venue":null,"work_id":"9b63e89b-c62c-4446-9d93-f9cfb4cf95b0","year":2018},"citing_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T20:42:41.235320Z"},"links":{"citing_paper":"/paper/2411.09532"},"observation_digest":"sha256:7239a676e13f39208554e0dfbffcc5c71d7184adafcf73386045ea3c3d3d0b18","observation_id":"b30a6173-cc05-4315-895c-bc2a8b2504f3","resolution":{"observed_at":"2026-08-12T20:42:41.395872Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:42:41.240315Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T20:42:41.240315Z"},"links":{"citing_paper":"/paper/2411.09532"},"observation_digest":"sha256:03aa94fd986c41dfcdacb24f398e7c1df981a0e6e85d0ea8f09acba7324afebd","observation_id":"589fb97d-cc05-40fe-bd78-cc1918a9ce8f","resolution":{"observed_at":"2026-08-12T20:42:41.240315Z","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":"2026-08-12T20:42:41.244991Z","title":"Q., Khudoyberdiyev, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T20:42:41.244991Z"},"links":{"citing_paper":"/paper/2411.09532"},"observation_digest":"sha256:379cb5e55275cf1df88b0f13d037e9edb58d14a3f01fb53dd686186a9cea5289","observation_id":"7434a1f9-81eb-420b-84c8-a5d6e64ac49e","resolution":{"observed_at":"2026-08-12T20:42:41.244991Z","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":"2026-08-12T20:42:41.249872Z","title":"A., J´ unior, R","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T20:42:41.249872Z"},"links":{"citing_paper":"/paper/2411.09532"},"observation_digest":"sha256:93dee48fc76c6efd9708feac015e6e391de13f5d944f2f8f8d6f997695526b47","observation_id":"61cca38b-de79-470c-8a0d-25c34f093ddc","resolution":{"observed_at":"2026-08-12T20:42:41.249872Z","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":"2026-08-12T20:42:41.328418Z","title":"A., & Mello, T","venue":null,"work_id":"cfb1bdab-b43e-495c-b135-426a2409fb26","year":2023},"citing_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T20:42:41.258047Z"},"links":{"citing_paper":"/paper/2411.09532"},"observation_digest":"sha256:73ef23afbb82ed3caab1f12f3ab193e124f568b44aec4c7eb3081ce483ee5d9a","observation_id":"97685dbf-20e0-47e5-8cce-ae632ad26cf7","resolution":{"observed_at":"2026-08-12T20:42:41.335602Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-12T20:42:41.307126Z","title":null,"venue":null,"work_id":"9b372b86-782b-4171-ac2e-75c3d15dba2f","year":2014},"citing_paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T20:42:41.265233Z"},"links":{"citing_paper":"/paper/2411.09532"},"observation_digest":"sha256:cb1f9bd36bd30c12e8ea2ead2867dddafa208289075c35b2cf75db2822e6c10a","observation_id":"af3963a5-9a61-449e-acec-0cd5efd03035","resolution":{"observed_at":"2026-08-12T20:42:41.314875Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.09532","last_updated":"2024-11-14T15:49:23Z","latest_version":1,"primary_category":"math.RA","snapshot_observed_at":"2026-08-17T02:54:45.577541Z","submitted_at":"2024-11-14T15:49:23Z","title":"Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras"},"reference_resolution":{"displayed":13,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":0,"verified_fuzzy":4},"total_outbound_references":13},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 6 inbound Pith citation observations for arXiv:2411.09532."}