{"as_of":"2026-08-17T10:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e1d618e6bff26274ea6659e7c8f7c68d6d4c924323a13ef27b2228a2880b6c22","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T14:34:05.896823Z","state":"measured"},{"denominator":36,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":36,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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/2508.21268/citation-record","integrity":"/paper/2508.21268/integrity","json":"/paper/2508.21268/citation-record.json","paper":"/paper/2508.21268"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T14:34:06.332132Z","title":null,"venue":null,"work_id":"82f9ecac-c84a-42bc-b085-52b0a6fa2714","year":2011},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.805934Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:3b4acb7cd111c862c632179004357d0cc0e50e358e3ae52be5d3e7b13bc4fab2","observation_id":"a9068804-c7a7-4439-9305-7a8931df34de","resolution":{"observed_at":"2026-08-05T14:34:06.335206Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.322848Z","title":"Bergman, An Invitation to General Algebra and Universal Constructions (Universitext Book 351), Springer, Cham, 2015","venue":null,"work_id":"f95da460-b6c0-420e-8b23-bbbfda04f937","year":2015},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.808951Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:f06c727b648ebc60cd30a336799c49895e176bdb1dcfe72123c95f640603f636","observation_id":"f5ac38c0-613a-41ae-9dd5-8a01190eb263","resolution":{"observed_at":"2026-08-05T14:34:06.326036Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.314563Z","title":"Bol, Gewebe und Gruppen, Math","venue":null,"work_id":"6fd89a6f-2bdc-4b08-bf8f-72972201703e","year":1937},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.811641Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:6f1cbf06cbc494c923379db1e49af94b0ee157367bba8b0288d45634f82e3103","observation_id":"0a5f8ca5-468b-4ed2-8937-0a83401c1814","resolution":{"observed_at":"2026-08-05T14:34:06.317551Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.304928Z","title":null,"venue":null,"work_id":"0a53ac10-5c49-4078-8873-8562ff44f51f","year":1944},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.814540Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:8f1da58ee5fc324d5d928eaec763f53c1edd95f2561dc5e86c85618ffbe9edee","observation_id":"76490f58-3191-4693-bad0-9092c541c4c9","resolution":{"observed_at":"2026-08-05T14:34:06.308277Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.295930Z","title":"Carter, S","venue":null,"work_id":"8bc8911d-6c3c-453e-9a55-66b5139b9b2f","year":2004},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.817225Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:04f28c4566b5b07cb67851ee9153f58fa7cebbe53cf0611ba1760d12bb9c3bff","observation_id":"87d0ab02-0302-47fa-81ea-62da69f93fcb","resolution":{"observed_at":"2026-08-05T14:34:06.299654Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.287225Z","title":"Chevalley, S","venue":null,"work_id":"2bdb8450-e68e-49a6-955f-c9adfe3bb587","year":1948},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.819701Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:a81964da268a6b683ebfa0f836f133ce48102a279e3c9122ce7f7b1b760f6d7b","observation_id":"44510e53-d30d-4487-b7a2-26121ed0f4fa","resolution":{"observed_at":"2026-08-05T14:34:06.290733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.278327Z","title":null,"venue":null,"work_id":"c887c54d-1fd9-4620-8c25-982d4da02343","year":1975},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.822409Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:73cdc23abaf41d9964f20172ce9f12fa2b3d79a0dd73e0afc078578d686f9a4c","observation_id":"91156efe-2a7d-4a71-9d20-ffbf0d22d2ef","resolution":{"observed_at":"2026-08-05T14:34:06.281232Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.269642Z","title":"Eilenberg, Extensions of general algebras Ann","venue":null,"work_id":"9f62af65-1cb7-4aff-bbd0-ee6e4a2973a3","year":1948},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.824703Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:21ca756aaa53c22a5138e00b230ea4cfc429bef6735f9b34ac7d461501e11a69","observation_id":"745f365f-e6f3-4d17-aaaf-5f37f00eeef7","resolution":{"observed_at":"2026-08-05T14:34:06.273070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.260831Z","title":"Eilenberg, S","venue":null,"work_id":"e9b170e1-7512-409d-86be-49c1603a0635","year":1947},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.827104Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:433487ad2e2a29a782d8d105ea2de984689a4e1ea9e9c0e54083590ae66ebe06","observation_id":"a2dac579-9b64-42cc-8ef5-71e33b448c67","resolution":{"observed_at":"2026-08-05T14:34:06.264205Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.252720Z","title":"Eilenberg, S","venue":null,"work_id":"c94bc1af-0160-4905-803c-c84127ea75be","year":1947},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.829499Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:ad331cfb45dc8456cc663efd2a8cdbf1835495c68fc585245a0c214cce8ae7fb","observation_id":"8700acae-ac3b-451c-98d8-b5499e596f8a","resolution":{"observed_at":"2026-08-05T14:34:06.255578Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.244299Z","title":"Karpilovsky, The Schur Multipliers, Oxford Science Publications, London Mathematical society Monographs, New Series 2, Clarendon Press, Oxford, 1987, x+302 pp","venue":null,"work_id":"9e0dc507-e743-4d90-a6a2-90bbf7184b0a","year":1987},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.831796Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:39a35a5f1ea316aad72d8a94c511f2cb1c80cc2ffd27f14c95019fcfc596c367","observation_id":"a97b0f7c-e6c7-40cc-a760-2ba8eb576850","resolution":{"observed_at":"2026-08-05T14:34:06.247497Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.234795Z","title":"Algebra 183 (1996), no","venue":null,"work_id":"d6e657eb-5ebd-4c9c-8000-d0d8f76926fb","year":1996},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.834242Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:dbc865f078aa234bd98dc3a2a24a415f08f9fe08f2607b2f470c03d7a25e3f02","observation_id":"01a8f613-ec4d-4943-8762-e55ef1866e17","resolution":{"observed_at":"2026-08-05T14:34:06.237941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.224845Z","title":"Lebed, Braided objects: unifying algebraic structures and categorifying virtual braids December 2012, Thesis (Ph.D.), Universit\\'e Paris 7","venue":null,"work_id":"a0bc6c51-df6e-4342-b76b-e2364e467eaf","year":2012},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.836654Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:1a9d3a6bd86edb6bb1fa2ff3eac0949365663fc9b88ac791266ce706153b39b9","observation_id":"96a987af-94f1-4b27-b6fc-886a84b928c7","resolution":{"observed_at":"2026-08-05T14:34:06.228669Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.215777Z","title":"Lebed, Homologies of algebraic structures via braidings and quantum shuffles, J","venue":null,"work_id":"d4f21066-9b53-434d-9d7d-046ae18c2f9a","year":2013},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.838970Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:0bb5ce8f040215ca867c2139a84685de2649350fbe1685f877170aad46450809","observation_id":"4cc030fe-7c67-456e-b42a-3511bf32285e","resolution":{"observed_at":"2026-08-05T14:34:06.219574Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1908.06745","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T14:34:06.069707Z","title":"Lebed, abelian quandles and quandles with abelian structure group, e-print:\\ arXiv:1908.06745 [math.GR]","venue":null,"work_id":"eef58558-11af-42c9-9029-7e3b92d8a787","year":1908},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.841243Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:25055c2d1c99274042ff346883d766492ac9c3fca4998c095ff42aae092237e4","observation_id":"b3614bfc-0771-4bc0-bace-043913775e88","resolution":{"observed_at":"2026-08-05T14:34:06.074532Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.206369Z","title":"Loday, Cyclic homology, Grund","venue":null,"work_id":"677f6625-b33a-454b-a583-e88f5acfafa3","year":1992},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.843493Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:c6a01d4fbf38feee7c2e46bd487f0c58241a095724fc2ff3a118567f14810b9f","observation_id":"d2fbdb0d-df74-4d00-a831-dd3d9e075cba","resolution":{"observed_at":"2026-08-05T14:34:06.210178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.197984Z","title":"Miller, The second homology of a group, Proc","venue":null,"work_id":"d492da0e-ecea-486e-938f-f89c71a8139d","year":1952},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.845719Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:3310f790f1aeddfede1236fd5f5eda7acb634b79f0f399618e93314c13ed28bc","observation_id":"8f73560a-09b4-4c3d-981a-1cd48443916f","resolution":{"observed_at":"2026-08-05T14:34:06.201066Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.188394Z","title":"Moufang, Zur Struktur der Alternativekoerpern, Math","venue":null,"work_id":"f44c93e4-444c-41de-a54c-43d04c9a398b","year":1935},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.848052Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:a01f41583dfda6baf654ed42f203d3315d21aa4138bef10563a9da74b8c08a5d","observation_id":"6524c230-9017-46c9-a0fd-b750191036d8","resolution":{"observed_at":"2026-08-05T14:34:06.191861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.180438Z","title":null,"venue":null,"work_id":"0539416d-fbda-47e8-a504-f9a46e3a6bed","year":1939},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.850349Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:dd69a0d178f0909ef3ac8f05e16a5a808ae09bcfc0be98687fbfcacb60d33b78","observation_id":"c9b8132e-79eb-4f78-9439-6832f12bcb3a","resolution":{"observed_at":"2026-08-05T14:34:06.183176Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1211.2951","last_updated":"2012-11-13T11:06:40Z","snapshot_observed_at":"2026-08-15T00:39:33.087553Z","submitted_at":"2012-11-13T11:06:40Z","title":"Entropic magmas, their homology, and related invariants of links and graphs","version":1},"cited_work":{"arxiv_id":"1211.2951","doi":null,"metadata_source":"pith","pith_arxiv_id":"1211.2951","snapshot_observed_at":"2026-08-05T14:34:05.979635Z","title":"Entropic magmas, their homology, and related invariants of links and graphs","venue":"math.GT","work_id":"73f53a7d-1eb6-485b-8d68-b0e0448c3b3e","year":2012},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.853245Z"},"links":{"cited_paper":"/paper/1211.2951","citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:1d38eea86b1131c59365839a3ad1b18c3859e6aa06de4f5f8a85f8b568bada83","observation_id":"12d92cd6-a881-4b4d-9155-b383bb7867fc","resolution":{"observed_at":"2026-08-05T14:34:05.982979Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.171690Z","title":"Pflugfelder, Historical notes on loop theory, Commentationes Mathematicae Universitatis Carolinae , 41, 2000, 359-370","venue":null,"work_id":"f43abe49-d9f0-42e9-895f-37593d482c85","year":2000},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.855905Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:76321a35c6abcb32e17f715212c7fd4e3d181ceb1cc3d982bf9d9f51f82db5b0","observation_id":"890348c1-41c9-4e07-96d8-803623f34819","resolution":{"observed_at":"2026-08-05T14:34:06.174875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.162551Z","title":"Pflugfelder, Quasigroups and Loops: Introduction, Sigma Series in Pure Mathematics, Heldermann, 1990","venue":null,"work_id":"6828d6e8-41df-4672-b1bf-077297862d95","year":1990},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.858244Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:1f17a7db7093d46de2ac1493f7fa76044a73b7fd8ba57036cd980048e674de91","observation_id":"0e20217f-88b1-4d58-b41b-4ac4abc7e093","resolution":{"observed_at":"2026-08-05T14:34:06.165690Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.152702Z","title":"Phillips, P","venue":null,"work_id":"014b34f7-b502-4c4e-a9e7-a017d48f3b25","year":2005},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.860523Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:8d031f8f71f29d5b8dc982a9d30ba4ffeefa8a3e8392e95bc37973391ffa66ac","observation_id":"11e2151b-5df6-4420-8a58-4a1c531b44c4","resolution":{"observed_at":"2026-08-05T14:34:06.156649Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.143548Z","title":"Phillips, P","venue":null,"work_id":"a72d6426-3355-46b1-84ef-524d8018c78f","year":2005},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.862777Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:759ca4c9c6da7a213500ef5ba015212d5b0ba76a01aa239f2567505dec42ee4a","observation_id":"8e92773a-5529-4ffe-a585-1092ae3e6992","resolution":{"observed_at":"2026-08-05T14:34:06.147284Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1509.07067","last_updated":"2016-09-20T12:16:36Z","snapshot_observed_at":"2026-08-14T22:31:08.514080Z","submitted_at":"2015-09-23T17:16:20Z","title":"Homology of left non-degenerate set-theoretic solutions to the Yang-Baxter equation","version":2},"cited_work":{"arxiv_id":"1509.07067","doi":null,"metadata_source":"pith","pith_arxiv_id":"1509.07067","snapshot_observed_at":"2026-08-05T14:34:05.968417Z","title":"Homology of left non-degenerate set-theoretic solutions to the Yang-Baxter equation","venue":"math.QA","work_id":"f2861d0a-120f-4fe0-a993-62332197ba41","year":2015},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.865297Z"},"links":{"cited_paper":"/paper/1509.07067","citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:de47cc3d4c75ad578ab164110f22ecefd7c43115ee700e570acf125a6292f032","observation_id":"ec37fa2b-2312-4cd2-91c0-e462133161b3","resolution":{"observed_at":"2026-08-05T14:34:05.971402Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1109.4850","last_updated":"2011-09-22T15:38:50Z","snapshot_observed_at":"2026-08-15T04:34:31.162060Z","submitted_at":"2011-09-22T15:38:50Z","title":"Distributivity versus associativity in the homology theory of algebraic structures","version":1},"cited_work":{"arxiv_id":"1109.4850","doi":null,"metadata_source":"pith","pith_arxiv_id":"1109.4850","snapshot_observed_at":"2026-08-05T14:34:05.956848Z","title":"Distributivity versus associativity in the homology theory of algebraic structures","venue":"math.GT","work_id":"be7e8384-90ba-4446-99ec-af429b52b3ca","year":2011},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.868044Z"},"links":{"cited_paper":"/paper/1109.4850","citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:15c96dd1eedbd5f56d775a5c7bb639a877894b09aef281bb59b8b0a485796318","observation_id":"65740392-6d0d-47e8-b181-e79fad01f3e4","resolution":{"observed_at":"2026-08-05T14:34:05.960097Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1409.7044","last_updated":"2014-09-24T19:10:05Z","snapshot_observed_at":"2026-08-14T23:18:14.811225Z","submitted_at":"2014-09-24T19:10:05Z","title":"Knots and distributive homology: from arc colorings to Yang-Baxter homology","version":1},"cited_work":{"arxiv_id":"1409.7044","doi":null,"metadata_source":"pith","pith_arxiv_id":"1409.7044","snapshot_observed_at":"2026-08-05T14:34:05.945694Z","title":"Knots and distributive homology: from arc colorings to Yang-Baxter homology","venue":"math.GT","work_id":"0182cb3f-6066-415f-94bb-29be4e900974","year":2014},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.871636Z"},"links":{"cited_paper":"/paper/1409.7044","citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:9d11d40b56697cf321c9dccff866d3bfc4993081efd13831b3d271388d710e70","observation_id":"45b6be38-104c-47b0-9db4-0a02c9d0eb7f","resolution":{"observed_at":"2026-08-05T14:34:05.948671Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.135038Z","title":"Przytycki, J","venue":null,"work_id":"ef017254-9f87-48ff-b8bf-017b526503ff","year":2023},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.875263Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:394e36e53b536140427974a9673f11c34f2b2d0831c31efc52a59f88dcc1c333","observation_id":"373cac8b-741c-4ff6-ae1e-0a19c5bff1b7","resolution":{"observed_at":"2026-08-05T14:34:06.137968Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1611.01178","last_updated":"2016-11-03T20:22:42Z","snapshot_observed_at":"2026-08-14T21:32:03.414300Z","submitted_at":"2016-11-03T20:22:42Z","title":"Equivalence of two definitions of set-theoretic Yang-Baxter homology","version":1},"cited_work":{"arxiv_id":"1611.01178","doi":null,"metadata_source":"pith","pith_arxiv_id":"1611.01178","snapshot_observed_at":"2026-08-05T14:34:05.934652Z","title":"Equivalence of two definitions of set-theoretic Yang-Baxter homology","venue":"math.GT","work_id":"d48f640f-3638-4b56-a10d-f60e9f985ce2","year":2016},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.877605Z"},"links":{"cited_paper":"/paper/1611.01178","citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:eef6513c9e2d2cdb8d213e89f68628116a57b682245f1b2e5c72f54781fd6642","observation_id":"a25b4fcd-c437-4996-a3c6-dff26215f901","resolution":{"observed_at":"2026-08-05T14:34:05.937538Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2004.07413","last_updated":"2020-04-16T01:18:51Z","snapshot_observed_at":"2026-08-08T05:01:33.518525Z","submitted_at":"2020-04-16T01:18:51Z","title":"The second Yang-Baxter homology for the Homflypt polynomial","version":1},"cited_work":{"arxiv_id":"2004.07413","doi":null,"metadata_source":"pith","pith_arxiv_id":"2004.07413","snapshot_observed_at":"2026-08-05T14:34:05.921266Z","title":"The second Yang-Baxter homology for the Homflypt polynomial","venue":"math.GT","work_id":"e6c4536e-22e6-45b1-9551-246e083cd797","year":2020},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.880617Z"},"links":{"cited_paper":"/paper/2004.07413","citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:0364f6cee9a990967501721da32479c9c3496f36a3c372bdc2038ae2c03a4b16","observation_id":"38aa4563-d454-46de-a37f-c3f4c3a31327","resolution":{"observed_at":"2026-08-05T14:34:05.926033Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.125943Z","title":"Shcherbacov, Elements of quasigroup theory and applications, CRC Press, 2017","venue":null,"work_id":"772899a5-7d3b-41e8-ad7f-d029212df7a0","year":2017},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.883209Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:13f673c6bfb7e18289c052c055e00a426713482f1011a5c9e1500dcb67da55e3","observation_id":"1e9c3c04-8e1a-461d-a2f0-ec781d94e25e","resolution":{"observed_at":"2026-08-05T14:34:06.129009Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.117150Z","title":"Smith, Mal'cev variety, Springer Lecture Notes in Mathematics, No.554, Springer-Verlag, Berlin, 1976","venue":null,"work_id":"7b40d0c6-b1d3-431e-86bc-143f7aa19840","year":1976},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.886042Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:de56043fdfed7caeacd12a0183505bc51d65c7b6c038010bad753851be9351fc","observation_id":"3d233d9c-3ec2-4391-8d86-8d44344abeec","resolution":{"observed_at":"2026-08-05T14:34:06.120451Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.107500Z","title":"Smith, An introduction to quasigroups and their representations","venue":null,"work_id":"46d586b1-625c-4c4e-a24a-5b8026472d43","year":2007},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.888348Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:3d4d941aeb93bc493544ed3db6826318616fb0fa41a362307e9b05ea255dc517","observation_id":"b66198ec-e66a-4585-b54d-bc9a48e5c9a8","resolution":{"observed_at":"2026-08-05T14:34:06.110927Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.098498Z","title":"Smith, Groups, triality, and hyperquasigroups, Journal of Pure and Applied Algebra , 216, 2012 811-825","venue":null,"work_id":"69564b95-132e-4ca8-82b9-ebe89c74d29f","year":2012},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.890664Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:6d47e115f0a4a813850c2d3d9821f93d4274df14da6fcc9453bd975eaeb7d43e","observation_id":"7d0d8887-e796-45b4-a792-51864a3a71ea","resolution":{"observed_at":"2026-08-05T14:34:06.101883Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.088296Z","title":"Toyoda, On affine geometry of abelian groups, Proceedings of the Imperial Academy , Volume 16(5), 1940, 161-164","venue":null,"work_id":"39e2d0fe-3366-45da-8005-6565395e13dd","year":1940},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.893033Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:5a2d165559fa6a47e09a5451fbc28543d73484d1d687e88d241c7d762a168069","observation_id":"fb8dcf1f-4dc9-428c-9cb3-7de8f4b51db9","resolution":{"observed_at":"2026-08-05T14:34:06.091920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T14:34:06.079919Z","title":null,"venue":null,"work_id":"3b93899c-7f13-4b29-ab76-4a1459712535","year":1965},"citing_paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-05T14:34:05.896823Z"},"links":{"citing_paper":"/paper/2508.21268"},"observation_digest":"sha256:8d79365f0ece51feff04b06d2cecc8232030d581ec85ad4a805b8e65798f4811","observation_id":"1b2e7d9a-5ef6-4f01-a27d-83d321e7c69d","resolution":{"observed_at":"2026-08-05T14:34:06.082885Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.21268","last_updated":"2025-08-29T00:03:54Z","latest_version":1,"primary_category":"math.GR","snapshot_observed_at":"2026-08-16T12:37:13.802622Z","submitted_at":"2025-08-29T00:03:54Z","title":"In Search of Homology for Quasigroups of Bol-Moufang Type"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":7,"verified_fuzzy":24},"total_outbound_references":36},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2508.21268."}