{"as_of":"2026-08-19T21:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:02551b96c010f006e6c3dd29aa5ce676ef8a2e03b5bb9fb441ba7fa1004504ef","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":"2026-08-19T06:32:44.657259+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":"2026-08-19T05:58:49.487703Z","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":"sha256:819c8b0c9b6d6b557b0538b6b14430d3850efc81ef21133bcf036cded634b18b","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:027d68bdfbe5ef06c33847af3b8de80a870ba4129ea34e6a62eee6d2ed0af6c5","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:3b69ca634dffa998ed9a46a51e8ac79c1289f0c0705605d57bb6fcf507354d21","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:c8d5f12b94627a419f57f2495dc54a852e3b235351b703494a6f3c296414d848","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:ee5f8c4113dfe1f6229c9b082d86100e0c0c3e8e40e3ca41990a031012f0020e","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:5f00154af5fb330d217e6fc5947da370b15eaa99084827967ec61d9eeebcbad8","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:cabf3b5224e05197dfec4230c1ffbcf8db11e311fdeb46b0e00a2f82abc9c36a","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:bf402fd6e03fcb8d3bae2ff1a7c2932c9e0fc79601fd511e93ecb2d88bd6c62a","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:87747f568768674452bc7c346f7e23c3df92952b88091e47955b26538b5ed4ed","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:fedcd1152e8f7ed02b019773325d6e5d0a3abc6d1563be68b6be057dc2cf4fd3","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:0a895cd3765ab0c9f2f9c3d67e73268575f2151b2af3c3e26d6955d092c0025c","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:2d185fc854e5ca7f40bd3549e8236b8aa55ea786a5623d77c33ef1cce0c0d36a","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:a3071f26d691d0e8d9abba86f77517dedc5f08b68aaba02fe585bbe6caf905e0","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:07d0aa39284f0703fb80c88ad1a866c9fd1d8f2da64af48a50650945fe56fc14","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:ca68d8cfb4870025eb52d26f6ae425aae5a9fc962615f5c4680fce6819ec4342","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:ff759281de9c428f01e0afaf654a7684dbfd33b9de86d593bb51ec1a30f8d4e3","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:d440e88903082578312443797c48736adc1be1c4d5b2e6fbee2df400d175276d","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:d5ab32669c712e8c53eb703210867e25cb49e39f4420d551ef0b8104f049613e","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:4a2957c77827ba21420bdff23c398cdb6c4c44695651778fde5c2245067bf14c","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:1cb15ffdb8263240e6c0a01b96c3818075f44d5cdbd372e110dab70af86fc4bb","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:b3db8fdd161d0bc9e6e009ee7e0f47608be60c41f852a8adb17108b382b2f897","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:91cc015a4c0d9a7d37f6aca83c0367751c11938709004bf38d7655c7712d9dfd","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:14d2883fb152d223a8c39b53e8d98088c75fe2235d128f42130ea63db1803da6","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:e816f1e8eccf7104914b3d73d9d58fdb68143250d98ae00a6e6a228b186fbcf2","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1509.07067","last_updated":"2016-09-20T12:16:36Z","snapshot_observed_at":"2026-08-17T14:56:34.206709Z","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":"2026-08-19T05:58:49.487703Z","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":"sha256:8b3f5baa0471bf45e32459c218eb5eddeca09b873336bbcd32e7c273b0e3874b","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:56736c343cb3cf88a67a527b4229fddbeb9def209f98402cc2bfbbf3c01142a3","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:d7bc610e735db19fc508d32548eb913468c2e134fe75755a67013b6a7f74498d","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:9bc63a5bc2fb6ea4409ee6672402dcf5d3accf0b7eba659de1780e7a3169a13c","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:a9f16e41a278ed82ac8539dcb62c1655bb93c5d3b60b312bb95de020826c3bf7","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2004.07413","last_updated":"2020-04-16T01:18:51Z","snapshot_observed_at":"2026-08-17T20:17:53.600976Z","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":"2026-08-19T05:58:49.487703Z","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:a77b1fbe729be8098aecf19f83c11bba36de9cd4d50a5139172439169fbe0a8c","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:82b1d7286840ab686714081e9cbfcb412c8cd6fea6d42ed16e0ff955b9253ea2","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:8d42803ec70794e6e36924baf2f4e423dadb2334c7ac60b2a0b8e652c81a6118","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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:b071dbf9b01ec7c3156cb2fc092c52154047ab2899e774e503eba918a6b6160a","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:8fe9a5e3d03f2bd37fb43e93ea27b5df0a5f2f30e8d90be4e2b07f904683e52e","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:0fe1ed46fc6a5dc704590029ff434475ef5cac48dcc5caf44e218224f58001dc","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"sha256:55f82dfc1e9398ce10b7aff405a8adf70ef637ba5e45ee806b115f16be98fb54","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 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-19T05:58:49.487703Z","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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2508.21268."}