{"as_of":"2026-08-13T16:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ebc3d33ac8531d62a7daf8dde0e29206b0e23f03a43a741cf13b9aa87cde4ad0","coverage":[{"denominator":29,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":29,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T14:12:43.400744Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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":"2026-08-12T14:32:47.294837Z","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":"2026-08-10T22:30:00.866451Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.15642","snapshot_observed_at":"2026-08-12T14:32:47.294837Z","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":"2026-08-12T14:21:12.895949Z","submitted_at":"2024-11-22T22:07:26Z","title":"Rota-type operators on 2-dimensional dendriform algebras","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T14:32:47.294837Z"},"links":{"cited_paper":"/paper/2411.15642","citing_paper":"/paper/2411.15358"},"observation_digest":"sha256:0406db84c28120dafcc70f9a71ba33db704226b4a787f500dd814c2e8eb21d16","observation_id":"99019c68-fb25-4011-8a50-fa8c89732c82","resolution":{"observed_at":"2026-08-12T14:32:47.294837Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.15642","snapshot_observed_at":"2026-08-10T23:24:04.226311Z","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":"2026-08-13T03:20:32.247632Z","submitted_at":"2024-12-29T22:11:14Z","title":"An Algorithmic Approach to Inner Derivations of Low-Dimensional Zinbiel Algebras","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T23:24:04.226311Z"},"links":{"cited_paper":"/paper/2411.15642","citing_paper":"/paper/2412.20599"},"observation_digest":"sha256:dca5ecd8cd0480e554bcfb399c50bf59b082e7924280eed551d520da89e7507a","observation_id":"96823509-da67-4de2-b6cd-563c1c39589c","resolution":{"observed_at":"2026-08-10T23:24:04.226311Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"cited_work":{"arxiv_id":"2411.15642","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.15642","snapshot_observed_at":"2026-08-10T22:30:00.866451Z","title":"Central derivations of low-dimensional Zinbiel algebras","venue":"math.RA","work_id":"eb4323f4-ba67-431d-a97e-da01c63a9ae1","year":2024},"citing_paper":{"arxiv_id":"2501.01500","last_updated":"2025-01-02T19:03:44Z","snapshot_observed_at":"2026-08-13T00:46:26.314426Z","submitted_at":"2025-01-02T19:03:44Z","title":"Computational Approaches to Derivations and Automorphism Groups of Associative Algebras","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T22:30:00.755331Z"},"links":{"cited_paper":"/paper/2411.15642","citing_paper":"/paper/2501.01500"},"observation_digest":"sha256:714bb33790cc08ade5517d75ceeec05517cfcbf9fe927d26caf4b4ed92f90aa3","observation_id":"6e5b000c-1b90-4e40-9552-63e7a42a0d00","resolution":{"observed_at":"2026-08-10T22:30:00.871421Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2411.15642/citation-record","integrity":"/paper/2411.15642/integrity","json":"/paper/2411.15642/citation-record.json","paper":"/paper/2411.15642"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:12:43.308806Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.308806Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:21e259e16cca51123d2ca5ea02784548e0bb996469c8dd2729d017dd4484297b","observation_id":"6932738e-1782-43b8-97a8-3ccd396a45d1","resolution":{"observed_at":"2026-08-12T14:12:43.308806Z","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":"2026-08-12T14:12:43.732810Z","title":"L., Chapoton, F., Frabetti, A., Goichot, F., & Lo day, J","venue":null,"work_id":"76799f6e-b5f1-4326-9a2c-bbb0c7a2d4aa","year":2001},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.312273Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:476bb850a173da0b4843720f3064dd85957e127ab14639f9188bb666e1ba2814","observation_id":"c71a6da6-0cd2-4016-9824-540c66cceddf","resolution":{"observed_at":"2026-08-12T14:12:43.736626Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T14:12:43.721775Z","title":null,"venue":null,"work_id":"be614ba1-d87e-467e-bece-2734866c968f","year":1998},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.315282Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:ab673361608dcc0c0ff5ea6f066e2228d74f5cac6f48cbde0c33cb04e25f5524","observation_id":"9853588c-c277-42cd-ae08-000016eb8b13","resolution":{"observed_at":"2026-08-12T14:12:43.725897Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T14:12:43.712295Z","title":null,"venue":null,"work_id":"9d744d96-ef52-4a26-8418-a289162a7830","year":2002},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.318357Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:38576effb04e4eec4b7811027037b017c68437dafbf2238ecd1ca06d6a2bfaea","observation_id":"58099f98-a0f0-4a58-b419-4dcc21fb8f31","resolution":{"observed_at":"2026-08-12T14:12:43.715434Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T14:12:43.701959Z","title":null,"venue":null,"work_id":"7c1e40f7-6b7f-42b9-a202-47c0e6428786","year":2000},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.321187Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:dd1fafce838dff54f0271f0ae293c1903d6b52014eb766f1b9a2eb50478667cc","observation_id":"cd83861e-60b1-4d1d-9a3f-d4b9ff1de46e","resolution":{"observed_at":"2026-08-12T14:12:43.705131Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T14:12:43.693395Z","title":null,"venue":null,"work_id":"52a435c0-0d69-4550-9ec1-4ad42a84567c","year":2002},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.324367Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:4df302d5a480ce998b95e1a4e5c25a434a549fda6d23ea9f59709b4894646e94","observation_id":"2bc681af-b265-4921-9176-774f0237e7df","resolution":{"observed_at":"2026-08-12T14:12:43.696307Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T14:12:43.684844Z","title":"A., J´ unior, R","venue":null,"work_id":"c12b462e-4927-4bf0-a5a3-cfef5ed16ebf","year":2022},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.327655Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:0129f05b356764f445ca244ac6b771bdfb58766e51743f87fa118e54aff8f1da","observation_id":"f127cf5c-a082-47cd-be95-51e6b26cc48c","resolution":{"observed_at":"2026-08-12T14:12:43.688017Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T14:12:43.675284Z","title":"Q., Khudoyberdiyev, A","venue":null,"work_id":"d01867e2-928d-4f3d-a413-6773fbea84e1","year":null},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.330605Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:b04c6048756bc98cdac2ab8a4e6418a88d15a8affd086a938339b6caa6261bd1","observation_id":"d04d28d5-760a-4bd4-83bb-55b837385a05","resolution":{"observed_at":"2026-08-12T14:12:43.678570Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T14:12:43.665763Z","title":null,"venue":null,"work_id":"c502767c-adf6-4806-8627-cbbd6e5cddec","year":2014},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.333433Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:53f7a13b49f7d7e59908113914463aa8e9e573ab5237e36483ec10d8fdbb2618","observation_id":"4c29a976-ec40-40c7-96ff-578967b110af","resolution":{"observed_at":"2026-08-12T14:12:43.669505Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T14:12:43.336127Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.336127Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:ba2c9d3f84d5baffab36e97a062b6281ffaa36436454786d7c2f70f86b0972ff","observation_id":"58f2003b-a5f7-4ab3-8b3c-f28c9537b93e","resolution":{"observed_at":"2026-08-12T14:12:43.336127Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.12906","last_updated":"2023-02-07T23:58:31Z","snapshot_observed_at":"2026-08-13T12:49:05.750930Z","submitted_at":"2023-02-07T23:58:31Z","title":"Cohomology of compatible BiHom-Lie algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.12906","snapshot_observed_at":"2026-08-12T14:12:43.338997Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.338997Z"},"links":{"cited_paper":"/paper/2303.12906","citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:293829b0aa3b6e13e8e7d1d24a92e97ce68ec8532b4e677b0a15a30dd9483199","observation_id":"480736a9-0d82-420c-bbb3-08110e659ad7","resolution":{"observed_at":"2026-08-12T14:12:43.338997Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.06781","last_updated":"2023-04-13T19:05:27Z","snapshot_observed_at":"2026-08-13T12:03:18.616265Z","submitted_at":"2023-04-13T19:05:27Z","title":"Classification, Derivations and Centroids of Low-Dimensional Complex BiHom-Trialgebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.06781","snapshot_observed_at":"2026-08-12T14:12:43.345864Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.345864Z"},"links":{"cited_paper":"/paper/2304.06781","citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:ab78cc0281f54d639acae940b00ff41766e34d5490a8bb7c15a9ed307ee67a83","observation_id":"74e0b003-9889-442f-9b66-dc4a2e264b7e","resolution":{"observed_at":"2026-08-12T14:12:43.345864Z","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":"2026-08-12T14:12:43.348521Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.348521Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:4ff533b5188f6522e35bb21757494a3f9f83d4391769d5b271f54b7298735028","observation_id":"16bb2747-e0c1-4c7b-b538-6a415879fb37","resolution":{"observed_at":"2026-08-12T14:12:43.348521Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.08513","last_updated":"2023-05-15T10:20:53Z","snapshot_observed_at":"2026-08-13T11:42:40.584102Z","submitted_at":"2023-05-15T10:20:53Z","title":"Classification of tridendriform algebra and related structures","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.08513","snapshot_observed_at":"2026-08-12T14:12:43.352322Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.352322Z"},"links":{"cited_paper":"/paper/2305.08513","citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:8d9b9130f49d04549b5632b8ecaa08e2e0ad49433656d62474c855fbfbf7b7e9","observation_id":"bc7c66f0-6665-43ce-938f-0774c3cef464","resolution":{"observed_at":"2026-08-12T14:12:43.352322Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.14331","last_updated":"2023-06-25T20:04:51Z","snapshot_observed_at":"2026-08-13T11:09:42.737585Z","submitted_at":"2023-06-25T20:04:51Z","title":"Quasi-Centroids and Quasi-Derivations of Low Dimensional Associative Algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.14331","snapshot_observed_at":"2026-08-12T14:12:43.355919Z","title":"A., Zahari, A., & Mosbahi, B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.355919Z"},"links":{"cited_paper":"/paper/2306.14331","citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:b4f9a82e56aaa1bd976ac770de99cb26453096b8dcc8e477098e3acf37a7b79a","observation_id":"534f5939-e16b-4117-b3d1-3c6b8affa262","resolution":{"observed_at":"2026-08-12T14:12:43.355919Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.04121","last_updated":"2023-12-07T08:21:53Z","snapshot_observed_at":"2026-08-13T05:08:09.186931Z","submitted_at":"2023-12-07T08:21:53Z","title":"Cohomology and deformation theory of $\\mathcal{O}$-operators on Hom-Lie conformal algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.04121","snapshot_observed_at":"2026-08-12T14:12:43.359195Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.359195Z"},"links":{"cited_paper":"/paper/2312.04121","citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:af76a10317d52aaa8b80cf0980e0c2f3723da4a0713b32760d8d30e6f001c1f6","observation_id":"105b7f1e-251c-47d6-86f3-4358f48cace8","resolution":{"observed_at":"2026-08-12T14:12:43.359195Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12098","last_updated":"2024-04-18T11:30:12Z","snapshot_observed_at":"2026-08-13T00:27:29.936178Z","submitted_at":"2024-04-18T11:30:12Z","title":"On structures of BiHom-Superdialgebras and their derivations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12098","snapshot_observed_at":"2026-08-12T14:12:43.362726Z","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":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.362726Z"},"links":{"cited_paper":"/paper/2404.12098","citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:b00341a10f6e02b089d4ef73314c4558e2419468ce4238c3cda339f734d0f10f","observation_id":"dee29824-ae67-4fa2-b48e-8ea87d49f4b4","resolution":{"observed_at":"2026-08-12T14:12:43.362726Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12112","last_updated":"2024-04-18T11:56:55Z","snapshot_observed_at":"2026-08-13T00:27:29.054773Z","submitted_at":"2024-04-18T11:56:55Z","title":"Generalized derivations of BiHom-supertrialgebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12112","snapshot_observed_at":"2026-08-12T14:12:43.366139Z","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":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.366139Z"},"links":{"cited_paper":"/paper/2404.12112","citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:b61f29772adcf3b2fb6f7a374384fe22d4d0b2847829880f0c80c944966daa8d","observation_id":"17600660-b76c-4484-baff-a3f9e1656b0f","resolution":{"observed_at":"2026-08-12T14:12:43.366139Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.15567","last_updated":"2024-04-23T23:36:01Z","snapshot_observed_at":"2026-08-13T00:23:23.274757Z","submitted_at":"2024-04-23T23:36:01Z","title":"Cohomology of BiHom-Associative Trialgebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.15567","snapshot_observed_at":"2026-08-12T14:12:43.369981Z","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":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.369981Z"},"links":{"cited_paper":"/paper/2404.15567","citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:ac0f2b8044f1e4b16db622778147bd8fca5fa9c9e18d6583526f776f884952bf","observation_id":"8cf05707-f2aa-4448-ae28-3c8dd2877ca3","resolution":{"observed_at":"2026-08-12T14:12:43.369981Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.18243","last_updated":"2024-12-03T23:13:38Z","snapshot_observed_at":"2026-07-06T18:21:22.569625Z","submitted_at":"2024-05-28T14:52:01Z","title":"Compatible Associative Algebras and Some Invariants","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.18243","snapshot_observed_at":"2026-08-12T14:12:43.373167Z","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":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.373167Z"},"links":{"cited_paper":"/paper/2405.18243","citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:04b2cbd07f5aba4778ccd2f908036d368fe9cb0935a0c959da4e29b20d21e201","observation_id":"f32621e9-4fe4-4bf8-acd7-14702e562e14","resolution":{"observed_at":"2026-08-12T14:12:43.373167Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.05716","last_updated":"2024-11-08T17:20:22Z","snapshot_observed_at":"2026-08-12T22:04:38.030967Z","submitted_at":"2024-11-08T17:20:22Z","title":"Classification of ($\\rho,\\tau,\\sigma$)-derivations of two-dimensional left-symmetric dialgebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.05716","snapshot_observed_at":"2026-08-12T14:12:43.376072Z","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":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.376072Z"},"links":{"cited_paper":"/paper/2411.05716","citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:7f1ce897430692a56f0ac40cb38b411c5664af8c9b4105275d0b9058d6f8f2b8","observation_id":"dad1c530-6e1d-43ad-9f5b-b0c1461b699b","resolution":{"observed_at":"2026-08-12T14:12:43.376072Z","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":"2026-08-12T20:31:04.296034Z","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":"2026-08-12T14:02:32.787185Z","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:a01efc105ca4a8699fe4434e42d293061395fe41a3457eb56706a0921f9686dd","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:12:43.382518Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.382518Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:6a834feaf89100f86dc122414dc519fe8c6f23cf81b24e353cb9e71f617bbaf9","observation_id":"b51b8626-c348-44cd-bfdc-d86f447a46f1","resolution":{"observed_at":"2026-08-12T14:12:43.382518Z","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":"2026-08-12T14:12:43.646380Z","title":null,"venue":null,"work_id":"df9ea1e6-127a-4681-a395-185649cb51b3","year":2021},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.385735Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:695868297b69537e5b4fca3c383d355a8b58e62b38b9513b2b3db78052f8cc72","observation_id":"9273ac0d-0b82-42f5-9a52-0c656fb3c908","resolution":{"observed_at":"2026-08-12T14:12:43.650542Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T14:12:43.388491Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.388491Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:a310baac8504c4448b41469c83543eb4df4b1d8d9f8c618bf841c5ba7d1235a9","observation_id":"0cfe527b-f7f1-408b-be93-62b5b2b90645","resolution":{"observed_at":"2026-08-12T14:12:43.388491Z","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":"2026-08-12T14:12:43.391247Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.391247Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:6eabfbe2dfe2fe060cad97822cd90586ee91667e6611b4bed9031f3c0a32f237","observation_id":"06b7d5e7-5c14-478c-ac13-4b8bcc9ec037","resolution":{"observed_at":"2026-08-12T14:12:43.391247Z","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":"2026-08-12T14:12:43.394123Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.394123Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:5df6f73903f7df13e438b063bf4f0ab6a26381891d3188b0fd72728f0fd05df4","observation_id":"e7386a8a-8870-425c-ad08-74b1ba2683bb","resolution":{"observed_at":"2026-08-12T14:12:43.394123Z","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":"2026-08-12T14:12:43.397361Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.397361Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:cbafc2a048e4ff0363a60d0ce639d4056a7cf31824e5690aeb33a9cf536c6c16","observation_id":"1fe7638f-d8fa-42b8-ab31-2e1e7f875c37","resolution":{"observed_at":"2026-08-12T14:12:43.397361Z","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":"2026-08-12T14:12:43.622046Z","title":"Z., & MOSBAHI, B","venue":null,"work_id":"8e555430-8343-4398-bf14-f4fb8b1cd7a0","year":2024},"citing_paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T14:12:43.400744Z"},"links":{"citing_paper":"/paper/2411.15642"},"observation_digest":"sha256:940d18862938f857e4569014ff6ff60d19ca5e5e105c367e3ab3301e566b80e5","observation_id":"09312860-837e-4728-90cd-cd6bb3da0809","resolution":{"observed_at":"2026-08-12T14:12:43.625852Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.15642","last_updated":"2024-11-23T20:06:57Z","latest_version":1,"primary_category":"math.RA","snapshot_observed_at":"2026-08-12T14:02:32.787185Z","submitted_at":"2024-11-23T20:06:57Z","title":"Central derivations of low-dimensional Zinbiel algebras"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":25,"verified_exact":0,"verified_fuzzy":4},"total_outbound_references":29},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 3 inbound Pith citation observations for arXiv:2411.15642."}