{"as_of":"2026-08-13T11:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:57a3323c37c7cc89592c91fa37515869b135102bfd758e875c933d0ac4cb18b0","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T23:42:02.036989Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2501.18414/citation-record","integrity":"/paper/2501.18414/integrity","json":"/paper/2501.18414/citation-record.json","paper":"/paper/2501.18414"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:42:02.841303Z","title":"Classification of 3-Dimensional Complex Diassociative Alg ebras, Malaysian Journal of Mathematical Sciences, V ol","venue":null,"work_id":"43beda7e-562c-47e4-8502-d2e4f2b95995","year":2010},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.878108Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:d26287f761ca11d839c33d7cd297fbd68aeae320afc0afc395feffbddfee6833","observation_id":"bef70608-61d0-44bb-9e52-0736f4289675","resolution":{"observed_at":"2026-08-09T23:42:02.845991Z","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":"2026-08-09T23:42:02.826955Z","title":"F our-Dimensional Nilpotent Diassociative AlgebrasJournal of Generalized Lie Theory and Applications, V ol","venue":null,"work_id":"00e5b1c2-677b-441f-8c30-41f1c83ea942","year":2015},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.883057Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:76a9e9fffd8d2c01252b14eeab6b3bf4eeaa1662a5faca6bf28297d98b2b2e4b","observation_id":"1d7ae46c-afb7-4952-a20e-31f143821711","resolution":{"observed_at":"2026-08-09T23:42:02.831564Z","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":"2026-08-09T23:42:02.813615Z","title":"Dialgebras in Dialgebras and related operads , pp","venue":null,"work_id":"1aaf49ec-817c-4ae7-afdf-ea622ba8ecca","year":2001},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.887263Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:8d7d863219a4a82f3df4b1f8947355bba991a318fbccc0c9c7531a3c1a5b51d7","observation_id":"e44338d0-2d94-441c-87e3-dc346487223e","resolution":{"observed_at":"2026-08-09T23:42:02.817954Z","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":"2026-08-09T23:42:02.800249Z","title":null,"venue":null,"work_id":"efb09e09-d2bb-4af3-8d64-f2ff73665226","year":2015},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.891777Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:df78706c8305ba516924caf6481b23346aea76322045038b0dc3099a32791494","observation_id":"e4fd4325-a348-4204-a30b-f78aa8170220","resolution":{"observed_at":"2026-08-09T23:42:02.804535Z","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":{"arxiv_id":"math/0102089","last_updated":"2001-02-12T09:24:58Z","snapshot_observed_at":"2026-08-02T00:01:23.651873Z","submitted_at":"2001-02-12T09:24:58Z","title":"A duality between standard simplices and Stasheff polytopes","version":1},"cited_work":{"arxiv_id":"math/0102089","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0102089","snapshot_observed_at":"2026-08-09T23:42:02.490462Z","title":"A duality between standard simplices and Stasheff polytopes","venue":"math.QA","work_id":"bf26601d-d881-44fc-9b5e-7744feb17cd0","year":2001},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.895957Z"},"links":{"cited_paper":"/paper/math/0102089","citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:e3982841109f01c8753480775b1dc7f1b9750136688796530b1fefcbd2165fc8","observation_id":"c82028ca-7c38-48ea-bd63-2567d2c47392","resolution":{"observed_at":"2026-08-09T23:42:02.495520Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"math/0205043","last_updated":"2002-05-06T08:59:06Z","snapshot_observed_at":"2026-08-07T21:57:48.990637Z","submitted_at":"2002-05-06T08:59:06Z","title":"Trialgebras and families of polytopes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0205043","snapshot_observed_at":"2026-08-09T23:42:01.901112Z","title":"Trialgebras and families of polytopes, (2002), arXiv:math/0205043","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.901112Z"},"links":{"cited_paper":"/paper/math/0205043","citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:afa4ba141078bbb9052656bbcb5a01b84321d55f9b92a1656ebf9f45e78623b1","observation_id":"dd246c4b-c606-4935-906d-fb6e8ec9334e","resolution":{"observed_at":"2026-08-09T23:42:01.901112Z","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":"2026-08-09T23:42:02.786670Z","title":"(Co)homology of triassociative algebras , International Journal of Mathematics and Mathematical Sc i- ences, V ol","venue":null,"work_id":"13fab0bc-b9be-4e62-a9ef-e62868697a4a","year":2006},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.906989Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:309b73061a3cfbd0aaf18fd7abcf4c2df2881a07ea0bfd081dc2edcf2d0370a1","observation_id":"13336b17-7acf-4143-908c-fdddf558e8a4","resolution":{"observed_at":"2026-08-09T23:42:02.791170Z","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":"2026-08-09T23:42:02.773155Z","title":"of pure and Applied Math., No50, 503-513, 2023","venue":null,"work_id":"ff0611b5-c413-418a-9bc0-0aeed46277b8","year":2023},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.911386Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:1bc2487343ead5c3ffab4fb277d6cf9b87068d56e9520c8ced9a177994c88a43","observation_id":"30f2437c-8fda-4c86-9eb4-20f93e3027e1","resolution":{"observed_at":"2026-08-09T23:42:02.777601Z","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":"2026-08-09T23:42:02.758773Z","title":"Kolesnikov, Grobner-Shirshov bases for replicated algebras, Algebra Colloquium 24(4) (2017) 563-576","venue":null,"work_id":"d8a3ab09-b7b6-466e-ae96-5545d7cbccb2","year":2017},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.915943Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:efccf3efb3593e0e083256b5124ce0e6f7a3b4ac9747098a4f5db59a6f7757f3","observation_id":"75958725-0590-4aec-a4e9-a2f9bb78946e","resolution":{"observed_at":"2026-08-09T23:42:02.763934Z","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":{"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":"2404.15567","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.15567","snapshot_observed_at":"2026-08-09T23:42:02.456279Z","title":"Cohomology of BiHom-Associative Trialgebras","venue":"math.RA","work_id":"ad40e773-0668-4b41-a87b-41f968515712","year":2024},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.920007Z"},"links":{"cited_paper":"/paper/2404.15567","citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:a9891e328d366f43dd5e7eaf8a795dc4989caab94584d910f73baae4a8bd8250","observation_id":"65a7217c-99ca-49af-9f65-967c80bf7647","resolution":{"observed_at":"2026-08-09T23:42:02.461407Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:42:02.745112Z","title":"and Wu, Y","venue":null,"work_id":"672d8a13-ffde-465c-b6c2-1d432db1c0e7","year":2015},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.924462Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:9a2dead6ea445636e6243cf9a8881b75d639421e295f6f93da5e440cd3b1ebbc","observation_id":"041a813d-b910-4649-909f-c0f42fa1cc28","resolution":{"observed_at":"2026-08-09T23:42:02.749570Z","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":{"arxiv_id":"2303.01905","last_updated":"2025-05-20T11:42:46Z","snapshot_observed_at":"2026-08-04T21:44:22.727532Z","submitted_at":"2023-03-03T13:05:43Z","title":"Classification of five-dimensional symmetric Leibniz algebras","version":2},"cited_work":{"arxiv_id":"2303.01905","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.01905","snapshot_observed_at":"2026-08-09T23:42:02.436992Z","title":"Classification of five-dimensional symmetric Leibniz algebras","venue":"math.RA","work_id":"de3579eb-686b-4f1c-b950-b5fb817f19fb","year":2023},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.928931Z"},"links":{"cited_paper":"/paper/2303.01905","citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:a9d1943bfd203cfef8174a2898bee495b2f1fd44d5a08f9c984caa5422e7a342","observation_id":"ca4384d7-af82-4316-ba44-65fdf0660e40","resolution":{"observed_at":"2026-08-09T23:42:02.441997Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2306.06428","last_updated":"2023-06-10T12:48:21Z","snapshot_observed_at":"2026-08-13T11:19:46.687348Z","submitted_at":"2023-06-10T12:48:21Z","title":"Nijenhuis operators on Leibniz algebras","version":1},"cited_work":{"arxiv_id":"2306.06428","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.06428","snapshot_observed_at":"2026-08-09T23:42:02.417374Z","title":"Nijenhuis operators on Leibniz algebras","venue":"math.RA","work_id":"2cc4551c-dcc2-47f0-924d-1db2c358f0bd","year":2023},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.933719Z"},"links":{"cited_paper":"/paper/2306.06428","citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:6f94f5838a821db93d11010d0a838a0c67f377799a286414d672bd7bc67316a2","observation_id":"f57d5a98-e737-4fbf-9348-7d4d43c15c13","resolution":{"observed_at":"2026-08-09T23:42:02.422737Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:42:02.731569Z","title":"25 (2) (2004) 29-38","venue":null,"work_id":"4c0b2d84-aff9-4211-821a-e5d3252086d0","year":2004},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.938640Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:285af290d6171fd2f11f43170c42896e49e642525ff274cb08426f7acd2cdf96","observation_id":"4a199d13-10dd-4850-8be5-e5cc9013087f","resolution":{"observed_at":"2026-08-09T23:42:02.735964Z","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":"9873.10001","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:42:02.393946Z","title":null,"venue":null,"work_id":"baf85621-c540-407f-aa1b-85f6c5a50141","year":2015},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.942803Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:fc342c3e6e32fd54e6d2666b96a9aebcc8cb93c4177d3d69b6ed3268ce98e017","observation_id":"6f2bc48d-36c8-420a-b6c4-c9c5ba5f0f28","resolution":{"observed_at":"2026-08-09T23:42:02.401044Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"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":{"arxiv_id":"1508.01147","last_updated":"2015-08-05T17:49:16Z","snapshot_observed_at":"2026-08-02T03:11:06.974282Z","submitted_at":"2015-08-05T17:49:16Z","title":"More on crossed modules of Lie, Leibniz, associative and diassociative algebras","version":1},"cited_work":{"arxiv_id":"1508.01147","doi":null,"metadata_source":"pith","pith_arxiv_id":"1508.01147","snapshot_observed_at":"2026-08-09T23:42:02.175464Z","title":"More on crossed modules of Lie, Leibniz, associative and diassociative algebras","venue":"math.RA","work_id":"e49813e1-e321-4389-a012-239b023ff3fc","year":2015},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.946977Z"},"links":{"cited_paper":"/paper/1508.01147","citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:380688d7563ba1f0c633eacc9581126b344233ed45d1dc7a5909918fe9410b20","observation_id":"f4bfb077-73ee-4d0d-8beb-c70aa1404809","resolution":{"observed_at":"2026-08-09T23:42:02.181294Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:42:02.717955Z","title":"Porter, Extensions, crossed modules and internal categories in cat egories of groups with operations , Proc","venue":null,"work_id":"8ae52902-b906-49a2-933f-4dffddabbdbc","year":1987},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.951371Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:c32a2c323fb1ed101931d1eafba7154acc29a786bd391de4f29f332e676ab9f1","observation_id":"62723b3b-0a6e-46bd-a3bd-bda563685dd7","resolution":{"observed_at":"2026-08-09T23:42:02.722453Z","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":"2026-08-09T23:42:02.704728Z","title":null,"venue":null,"work_id":"47141314-a81d-40d0-a356-bdc542885a8f","year":2021},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.955640Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:ee06704b16f4df15f133d8dc0d5530ffafbb9c3f8c53e2da62fb12c9f69bf5a3","observation_id":"8385eb6f-6054-4ac3-aaa1-f9d0089c1d66","resolution":{"observed_at":"2026-08-09T23:42:02.709107Z","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":"2026-08-09T23:42:02.691170Z","title":"and Y au D., Rota-Baxter Hom-Lie admissible algebras, Communication in Algebra, 23, no 3, 1231- 1257, 2014","venue":null,"work_id":"1eb6170d-7c5b-4b4a-8385-8d63dd728082","year":2014},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.959742Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:705d54cf203bb9e24ab7239b98ea5c9cfe2afd8c9b08c980462393feac84e9a5","observation_id":"cba6554e-ccef-4b16-9f29-b6814b8dce48","resolution":{"observed_at":"2026-08-09T23:42:02.695695Z","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":"2026-08-09T23:42:02.677187Z","title":null,"venue":null,"work_id":"feaae40f-f09c-46b9-a047-a14a51931879","year":1949},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.963966Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:a96835f89772c0fa187da1276635d3ce51f87bcb93f78da4a79b4da236d53a11","observation_id":"e2ab5d17-9daf-4033-ac2e-69175d87e181","resolution":{"observed_at":"2026-08-09T23:42:02.681680Z","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":{"arxiv_id":"2209.07892","last_updated":"2023-06-19T08:52:00Z","snapshot_observed_at":"2026-07-06T13:53:02.447733Z","submitted_at":"2022-09-16T12:32:59Z","title":"Biderivations of low-dimensional Leibniz algebras","version":3},"cited_work":{"arxiv_id":"2209.07892","doi":null,"metadata_source":"pith","pith_arxiv_id":"2209.07892","snapshot_observed_at":"2026-08-09T23:42:02.153480Z","title":"Biderivations of low-dimensional Leibniz algebras","venue":"math.RA","work_id":"d80e27a1-d4a3-4232-87b5-734641ed0861","year":2022},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.967966Z"},"links":{"cited_paper":"/paper/2209.07892","citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:3b271f25bbff7f83f9344f09ea54653099cdc83104f445044e7d159e6310eb65","observation_id":"a6fe43fe-74bb-4d72-9683-ca20aa6ea2a5","resolution":{"observed_at":"2026-08-09T23:42:02.158522Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2306.15059","last_updated":"2023-12-14T22:04:21Z","snapshot_observed_at":"2026-08-13T11:08:53.951770Z","submitted_at":"2023-06-26T20:47:17Z","title":"On Nilpotent Triassociative Algebras","version":2},"cited_work":{"arxiv_id":"2306.15059","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.15059","snapshot_observed_at":"2026-08-09T23:42:02.132568Z","title":"On Nilpotent Triassociative Algebras","venue":"math.RA","work_id":"3175776e-50f4-4397-96fc-e21cdb1d52dd","year":2023},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.972248Z"},"links":{"cited_paper":"/paper/2306.15059","citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:b3c3da675eb9c29d0d3e220820e89d5911a818115ca3d86b9d0968db311d994a","observation_id":"3133e1cb-89ce-45fe-ac96-1bdfdd29b1f0","resolution":{"observed_at":"2026-08-09T23:42:02.137622Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2209.04351","last_updated":"2022-09-09T15:29:33Z","snapshot_observed_at":"2026-08-12T04:52:31.701968Z","submitted_at":"2022-09-09T15:29:33Z","title":"Classification of Low-dimensional Complex Triassociative Algebras","version":1},"cited_work":{"arxiv_id":"2209.04351","doi":null,"metadata_source":"pith","pith_arxiv_id":"2209.04351","snapshot_observed_at":"2026-08-09T23:42:02.110961Z","title":"Classification of Low-dimensional Complex Triassociative Algebras","venue":"math.RA","work_id":"1445fd3a-543f-4d19-b0fd-b79a8c457c66","year":2022},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.976974Z"},"links":{"cited_paper":"/paper/2209.04351","citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:56a5d8ebf39a00c28019beedffabca33ccc469ff032367d029a968320e9cb166","observation_id":"1a730c04-18d0-4e1c-a4d4-bb5b73585310","resolution":{"observed_at":"2026-08-09T23:42:02.116335Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:42:02.663112Z","title":"Bremner, J","venue":null,"work_id":"d5685496-30ec-4de8-af9f-699fc4e3c1db","year":2014},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.981635Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:01390a1f5b06c3e6549dd8aadf8ceb87d223d4fb90dd5e48fcff40b63d972254","observation_id":"38b17cf9-3647-48ea-b2b6-1b27b85b1d5a","resolution":{"observed_at":"2026-08-09T23:42:02.667793Z","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":"2026-08-09T23:42:02.649357Z","title":"Camacho, J.M","venue":null,"work_id":"c66b98dd-131a-4084-8cac-ff80d01253c4","year":2012},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.985661Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:7222b7b8bbe01ce56650d33bcb7f7e4e6a78a042cd68d933eb1c8d7c2e7f2a19","observation_id":"1e72a046-e204-478b-aef8-cddcc3f1d5e3","resolution":{"observed_at":"2026-08-09T23:42:02.654174Z","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":"2026-08-09T23:42:02.635299Z","title":"Lister, A structure theory of Lie triple systems , Trans","venue":null,"work_id":"4a6725f3-d36b-4b1a-9286-a037e3a9aedf","year":1952},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.989591Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:c03289220ccdf045476cda4031fda85967656b52bdb56043770f51e84dc2a983","observation_id":"a620daa0-bee5-4daa-9c4d-373775401492","resolution":{"observed_at":"2026-08-09T23:42:02.640055Z","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":"10.1007/978-3-031-39334-1-5","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:42:02.067979Z","title":"(2023), Ternary Leibniz color algebras and beyond , In: Hounkonou, M.N., Mitrovic, M., Abbas, M., Khan, M","venue":null,"work_id":"22caec91-76a3-459f-9241-d2d6ed8ed4ce","year":2023},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.994386Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:b71709761b181a3d18ba5836cfe8367645e438ffdab435cfd8a383f76a0cbf76","observation_id":"dc366bf6-fd05-4d85-852f-ff7f9b7a5f3e","resolution":{"observed_at":"2026-08-09T23:42:02.074991Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:42:02.621441Z","title":"Dokas, Cohomology of restrited Lie-Rinehart algebras, Adv","venue":null,"work_id":"a9c6f6a2-f125-4af7-b4f3-806c2c402ccd","year":null},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:01.998566Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:0987dbcfc5bd82e38bd297828aa5b469ffc07d6f26dd9fb40b1a060c265c86c6","observation_id":"25fa6965-1376-465b-9f0f-00131d8646d4","resolution":{"observed_at":"2026-08-09T23:42:02.626087Z","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":"2026-08-09T23:42:02.607080Z","title":null,"venue":null,"work_id":"de6258ed-21ad-41ef-9f96-f4eb9e796fc7","year":2023},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:02.002533Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:8483a65c26e04a5e8c902f6f7d7c46800ee3d5f31ead3046f4b0dab98a5c2740","observation_id":"6ed763d0-f20b-4315-a739-8fa8c3b6f2df","resolution":{"observed_at":"2026-08-09T23:42:02.611755Z","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":"2026-08-09T23:42:02.592496Z","title":"X., On the structure of n-Lie algebras , [PhD Thesis]","venue":null,"work_id":"993a704c-d9c7-4d11-94a2-8a59023fd9f2","year":1993},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:02.006562Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:97ff5ec55db350659a051398f21e80ddf0b124e38ce4dc43bda17ed49e5c20d5","observation_id":"35ad2d6d-5d89-499d-872a-1757c01f71b5","resolution":{"observed_at":"2026-08-09T23:42:02.597428Z","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":"2026-08-09T23:42:02.578627Z","title":null,"venue":null,"work_id":"a7bef329-75d4-4559-b1ed-b42f6938d7d3","year":2012},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:02.011144Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:593d0f2fbece7a47983cd91ae127f805b2646c55816c17ffc7aa298d3583045f","observation_id":"3438ab85-fbd5-4a75-bf50-2f0f57652161","resolution":{"observed_at":"2026-08-09T23:42:02.583050Z","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":"2026-08-09T23:42:02.563122Z","title":"M., Trialgebras and Leibniz 3-algebras, Bol","venue":null,"work_id":"211bf9bf-4e0f-4d40-9605-04ca3507738e","year":2006},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:02.015012Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:99e4122cf88a0c84362c41ebb91cb28f8def3a7498f75d6db0d9058d080e7835","observation_id":"bbc0cee3-aa3a-40d7-98fe-e57178863ba6","resolution":{"observed_at":"2026-08-09T23:42:02.568086Z","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":"2026-08-09T23:42:02.548730Z","title":"M., Loday J.-L","venue":null,"work_id":"229f6cf8-062d-4247-a442-d92cdf8d349b","year":2002},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:02.019613Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:14ae22ccb45cabc644d7a3a237468bacb19c99c2078bf5d755f6f37ec0d37eba","observation_id":"5d724651-97b0-4368-9ed6-7c48fbeb9bf6","resolution":{"observed_at":"2026-08-09T23:42:02.553418Z","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":"2026-08-09T23:42:02.534226Z","title":"W., On Levi’s theorem for Leibniz algebras , Bull","venue":null,"work_id":"4bff2d2a-c787-4cc3-b095-a87a33521ebf","year":2012},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:02.023764Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:aa0eb969fd96175e183e4c6a8b4533a1871202daf41521d377c7efbe0d344c38","observation_id":"132cffa9-d32e-4f91-a541-dc6c4665e05a","resolution":{"observed_at":"2026-08-09T23:42:02.539303Z","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":"2026-08-09T23:42:02.519707Z","title":null,"venue":null,"work_id":"52b39be9-9035-43f0-b7f1-a5954883afce","year":2014},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:02.027819Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:79a657e20e94b6db71391ea4b7fec25f63dba8e844d6b7516a0bf9f5da3206a6","observation_id":"81d1c68f-31be-4cd9-9c72-7eb04b649b75","resolution":{"observed_at":"2026-08-09T23:42:02.524293Z","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":"2026-08-09T23:42:02.505776Z","title":null,"venue":null,"work_id":"8b7303bd-135b-41ce-835a-f4adaa045621","year":2008},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:02.032483Z"},"links":{"citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:ac144bab2b337eb6a1b9934bdabc0fd0b2b6ab36b7cefd996df8c62b2e88dcf4","observation_id":"820229ef-d7cc-43df-a758-8d5f121ff587","resolution":{"observed_at":"2026-08-09T23:42:02.510267Z","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":{"arxiv_id":"1903.12283","last_updated":"2019-04-22T21:01:04Z","snapshot_observed_at":"2026-07-06T07:42:27.256452Z","submitted_at":"2019-03-28T21:40:40Z","title":"3-Lie-Rinehart Algebras","version":2},"cited_work":{"arxiv_id":"1903.12283","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.12283","snapshot_observed_at":"2026-08-09T23:42:02.090815Z","title":"3-Lie-Rinehart Algebras","venue":"math.RA","work_id":"5583f068-5165-448e-8724-0f304265bfa8","year":2019},"citing_paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-09T23:42:02.036989Z"},"links":{"cited_paper":"/paper/1903.12283","citing_paper":"/paper/2501.18414"},"observation_digest":"sha256:5955bbf1866be42e82717c3e929eddb42bcc80f6d8d78b2c202d0e2728d622c8","observation_id":"d1ee9179-ad20-4370-887e-162028ae09b4","resolution":{"observed_at":"2026-08-09T23:42:02.095592Z","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"}}],"paper":{"arxiv_id":"2501.18414","last_updated":"2025-01-30T15:13:34Z","latest_version":1,"primary_category":"math.RA","snapshot_observed_at":"2026-08-12T18:42:04.723144Z","submitted_at":"2025-01-30T15:13:34Z","title":"Crossed modules of ternary Leibniz algebras"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":10,"verified_fuzzy":18},"total_outbound_references":37},"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 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2501.18414."}