{"as_of":"2026-08-20T17:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6b04bc660e246281f0bafbacb14a93785686f3ec4bbebb3090b2dd254c212823","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":"2026-08-16T11:07:12.716038Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T03:13:16.091941Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.16643","snapshot_observed_at":"2026-08-01T03:13:16.091941Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25246","last_updated":"2026-07-28T03:40:20Z","snapshot_observed_at":"2026-08-01T03:13:14.243222Z","submitted_at":"2026-07-28T03:40:20Z","title":"Nijenhuis modules and the ring of Nijenhuis operators","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T03:13:16.091941Z"},"links":{"cited_paper":"/paper/2504.16643","citing_paper":"/paper/2607.25246"},"observation_digest":"sha256:cb397beb785c0cf61632c74b2d2637e5d32ea8d8a90c0486c0bbabb05a44b515","observation_id":"d8b65933-930d-4d3a-9fcc-c82be6aa87ae","resolution":{"observed_at":"2026-08-01T03:13:16.091941Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2504.16643/citation-record","integrity":"/paper/2504.16643/integrity","json":"/paper/2504.16643/citation-record.json","paper":"/paper/2504.16643"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:07:13.130544Z","title":"Aguiar, Pre-poisson algebras, Lett","venue":null,"work_id":"1a39130a-8015-45c2-9d14-ad01c8ba4bc8","year":2000},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.595875Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:3d1e583f342e4666c0ae76d300db428cfff90113d4d566b4405f4281a113f7f4","observation_id":"4c376878-6772-4c46-a6af-8a8c591f7cb6","resolution":{"observed_at":"2026-08-16T11:07:13.134701Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:13.117695Z","title":"An and C","venue":null,"work_id":"6d941a64-74f9-4f4a-9767-8804f1bbe6c4","year":2008},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.602970Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:c417cc7b20f645d26d7f28bfea598ad9920b5b3dc4f8244bbc2518713d156a22","observation_id":"c55dd9ef-d1b2-4937-a6a6-fbf34fb24e06","resolution":{"observed_at":"2026-08-16T11:07:13.121941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:07:12.606492Z","title":"Andrew, L","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.606492Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:44d9ca5abeee75b92c090f5c207a7fcd53b296500800ab71ec9e1e8cde3cbd98","observation_id":"28bc18b7-1337-4629-afc4-7a0bf2aa746f","resolution":{"observed_at":"2026-08-16T11:07:12.606492Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:07:13.098630Z","title":null,"venue":null,"work_id":"c50287f7-93bb-43a0-84bb-0d91127d392e","year":2010},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.609966Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:b74f869890179f3618fe5245f6b6c067f2d6389b2d45e34f770836661636613b","observation_id":"7b14296a-4460-4ab5-9a53-fbad1f96d223","resolution":{"observed_at":"2026-08-16T11:07:13.102544Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:13.087560Z","title":"Bai, An introduction to pre-Lie algebras, ISTE, Londo n, 2020, 245-273","venue":null,"work_id":"e3fadb49-af60-455a-b5f6-6ebfc80e19a3","year":2020},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.613364Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:bf69d5238540658c55374e3a6724715149f6aa87b01e07e6a2b6f7e72515cd4e","observation_id":"24d5bedb-438f-4d3e-8795-f9a7fdfe4f52","resolution":{"observed_at":"2026-08-16T11:07:13.091498Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:13.075567Z","title":null,"venue":null,"work_id":"bf01380a-204e-4622-bfd0-b17a009faae3","year":2024},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.617090Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:8fe2dced5665cc4eff25a91c29146a29891e5018799d86a0d72babfd396a99e6","observation_id":"8e0f73e6-746f-41b9-807f-c6e94ad4bd4c","resolution":{"observed_at":"2026-08-16T11:07:13.079939Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:13.063580Z","title":null,"venue":null,"work_id":"29210a02-e693-4a74-b36a-eb0aff3463b1","year":2024},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.620895Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:49c7699e1add95e22d7a810498ca387569819de8a57fd9a2466ec1ecaf1123bb","observation_id":"e8140323-4ed2-4b56-ae47-68f650ba8c48","resolution":{"observed_at":"2026-08-16T11:07:13.067524Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:07:12.624057Z","title":"Baxter, An analytic problem whose solution follows fr om a simple algebraic identity, Pacific J","venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.624057Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:585e0b0d0ca3203e75fd47d311e5f180c85ce4b5e83d06fcca0d63d6e46459ee","observation_id":"e99ebadb-2f3c-4089-90d7-7bf3a4226092","resolution":{"observed_at":"2026-08-16T11:07:12.624057Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:07:13.044140Z","title":null,"venue":null,"work_id":"183b0aa1-cadd-479c-867f-3ee5b584a1d5","year":2022},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.627262Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:87ef9cd43e8d1c458c81e1594a8038b2b1aa73c62fc6c5bcd3c880c7fadf0ecd","observation_id":"b6453fe2-e592-48b4-b33d-009349d0b171","resolution":{"observed_at":"2026-08-16T11:07:13.048148Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:13.033654Z","title":"Bruned, M","venue":null,"work_id":"b878ada5-4608-48a5-951a-43ceda03fae0","year":2019},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.630299Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:a5088b0cf49a0c6cd805ce0ef9cb7f642e680d6b9fbfbfeea53e292bbf568ff3","observation_id":"5c82fc8d-faae-4709-88b7-dac4cf7d40c2","resolution":{"observed_at":"2026-08-16T11:07:13.037321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:13.023547Z","title":"Connes and D","venue":null,"work_id":"eb6e2ed0-fe90-4d15-bfaa-e30f5acbe19d","year":2000},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.633678Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:d63f655849ee45e3241b4696e8bf31d5bde3a4958c27a978024bd72e46df62ba","observation_id":"87f81b55-fe53-4064-a322-67308e2676de","resolution":{"observed_at":"2026-08-16T11:07:13.027043Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:13.011235Z","title":"Das, Twisted Rota-Baxter operators and Reynolds ope rators on Lie algebras and NS-Lie algebras, J","venue":null,"work_id":"c8951970-50a1-4591-a0cf-1d7ab8dbfa6c","year":2021},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.636979Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:0afabb850719fc12287ae22f14240fcf3b001f3db568562537cd64cde6870ab9","observation_id":"2c46ec9b-ec18-4320-a55e-e3a038d0fec5","resolution":{"observed_at":"2026-08-16T11:07:13.015812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.997756Z","title":"Ebrahimi-Fard and L","venue":null,"work_id":"a15fd27c-89fa-4112-acfd-fcc0718cfb19","year":2006},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.640629Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:d0652c2dbf38b3027795b149836ec70b28a36c3a6f005f25a5cf102b27cf4592","observation_id":"263c9557-52ac-4794-9804-e68273b58a70","resolution":{"observed_at":"2026-08-16T11:07:13.002914Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.986538Z","title":"Foissy, Algebraic structures on typed decorated roo ted trees, SIGMA Symmetry Integrability Geom","venue":null,"work_id":"c7b61412-7345-4eb9-a465-d93cb74771bb","year":2021},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.644028Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:40a126fd5cd6cca3b660cc41550f7ab16c0e7f60bc04a240236a4f38577ceb35","observation_id":"f715447e-10b3-4d76-b5e7-3ed00df08f38","resolution":{"observed_at":"2026-08-16T11:07:12.990462Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.06096","last_updated":"2024-08-14T12:13:57Z","snapshot_observed_at":"2026-08-18T23:41:09.951793Z","submitted_at":"2024-08-12T12:29:37Z","title":"Rota-Baxter operators, differential operators, pre- and Novikov structures on groups and Lie algebras","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.06096","snapshot_observed_at":"2026-08-16T11:07:12.647436Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.647436Z"},"links":{"cited_paper":"/paper/2408.06096","citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:efe1d9daa420db109ea98bf4302e843fd0c64b02482efc419c7254316e0cfd3f","observation_id":"42f6cfb3-bbb9-4275-88bb-62410044d3fd","resolution":{"observed_at":"2026-08-16T11:07:12.647436Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:07:12.975283Z","title":"Gubarev and P","venue":null,"work_id":"b9ab450d-5e01-49fe-9dfb-778ef4eca866","year":2017},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.651232Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:0a887203145806c0f9f1e16014e3a093470a07ad25a15947cbb65ca192f9c5e8","observation_id":"8ccf00df-c87c-46d8-8bc6-4f3976aa4f2d","resolution":{"observed_at":"2026-08-16T11:07:12.979361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.963175Z","title":"Guo, An introduction to Rota-Baxter algebra","venue":null,"work_id":"1dcad805-0ff4-4843-9943-f59b6ee63d17","year":2012},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.654338Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:8335aeda556be5a258873cfa0426152f71237d7a3fb2ab41aad372e5b8f8a94f","observation_id":"0cef5c9c-a17e-4035-8b61-a32ba0bca4f9","resolution":{"observed_at":"2026-08-16T11:07:12.967008Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.950905Z","title":"Guo, Operated semigroups, Motzkin paths and rooted t rees","venue":null,"work_id":"673edb82-98b3-4929-b4b3-758678dded5e","year":2009},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.657393Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:e78f2f1e8a745c1ecdc04dd8c29223dc3924ad3312650c4e871bd5ac08d5edff","observation_id":"93c31fcb-775c-4cc5-8f9e-5f9e17479fc6","resolution":{"observed_at":"2026-08-16T11:07:12.955538Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.939256Z","title":"Guo and Z","venue":null,"work_id":"e092c7ea-c82e-4634-b3ad-cb4ce8878aeb","year":2021},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.660540Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:a57746b18cd423004d80987490ce30206c5f72a77f3cbb24796892cd163c7892","observation_id":"51db64a1-96d9-45cc-95e8-15d4ba79785f","resolution":{"observed_at":"2026-08-16T11:07:12.942712Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.929004Z","title":null,"venue":null,"work_id":"f42123c8-29fa-491f-b86a-c9390d432779","year":2021},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.663745Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:d42473c428c9c0438344e5f303e2c81a63b4b7ec2089878baa0a0bd3127094be","observation_id":"4b0f18e8-53bd-4d98-b10f-da8b70c09512","resolution":{"observed_at":"2026-08-16T11:07:12.932441Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.918212Z","title":"Jiang, Y , Sheng and C","venue":null,"work_id":"7a3c985a-b84c-493f-b161-81fb5d59a833","year":2024},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.667083Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:14d658b6b427c043b8a00811fa00c3f12640140e617990c68c63d17d4a7d59dd","observation_id":"4b36745a-e99b-428d-a4c3-5ab21a707d27","resolution":{"observed_at":"2026-08-16T11:07:12.921951Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.907918Z","title":null,"venue":null,"work_id":"e5e637f2-fb91-497e-b092-1a0e8ef26dc2","year":null},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.670375Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:d6e635ca904b21fa577cbf156ec84395ffb0266b910685547a7febcba0d6b53c","observation_id":"c60e8a58-1c1b-4379-ada2-4c18b7e5b676","resolution":{"observed_at":"2026-08-16T11:07:12.911533Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.897693Z","title":"Lang and Y","venue":null,"work_id":"76be06ec-9055-4f04-b8e1-bbc4e1c6361e","year":2023},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.673880Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:4ff748db8d381d7baa78a0ecb870d92fd1b4c68bab0907fea2d2ae061c97959a","observation_id":"7e02e39a-b6ad-4504-ac33-8cc477898de5","resolution":{"observed_at":"2026-08-16T11:07:12.901427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.887298Z","title":"Lin and L","venue":null,"work_id":"c51afc42-a9e3-4181-a8e5-2e95a35f6245","year":2024},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.676991Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:06e140a992535daa971b034a7a6effb155a40fb5d21159b6267284daac87c2b1","observation_id":"d33c5f98-5eb7-4f7b-86d6-847edb7363fe","resolution":{"observed_at":"2026-08-16T11:07:12.890924Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.875923Z","title":"Magri, A simple model of the integrable Hamiltonian e quation, J","venue":null,"work_id":"811914ee-d9bd-4fff-8c7c-01a13b527626","year":1978},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.680067Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:4ef85515522f2700cd00393a28422249bf6d4c0393ee932d08d2b191f72d92f9","observation_id":"d89973dc-f39b-4f84-83a9-ceac2e522204","resolution":{"observed_at":"2026-08-16T11:07:12.879887Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.865338Z","title":null,"venue":null,"work_id":"01b9006a-a69f-436d-add0-2441f714d733","year":2019},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.683390Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:3e808ff8cca21635c92c2d4379c77803738797442cac6e1b39d0c096fd0ed866","observation_id":"f30ba58f-8df1-4e5f-b23d-cebff75e91bf","resolution":{"observed_at":"2026-08-16T11:07:12.869194Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.855540Z","title":"Qiao and J","venue":null,"work_id":"9905ac8e-4c53-4e84-84bd-3269736dd5bb","year":2018},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.686542Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:0dca2aef55651f7c20f717b9293a1c1d513aa7582893c07e2558aa179f22f884","observation_id":"080cf008-048d-401b-a8e7-02b06505ad5b","resolution":{"observed_at":"2026-08-16T11:07:12.858855Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.845064Z","title":null,"venue":null,"work_id":"fdd91351-8d09-4f9c-a5f2-670aa47827b7","year":2009},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.689730Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:ee47cfff99ae984f066a00e53ff3e7999ad24300cfbfce2ad878fa4ac9d42ff3","observation_id":"5f21312e-3ad3-4dae-a65d-245e0b08ab71","resolution":{"observed_at":"2026-08-16T11:07:12.848482Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.834762Z","title":null,"venue":null,"work_id":"831cacab-87d9-45ec-a2c3-260898654d2e","year":1983},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.692971Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:b32ddce5766fc769bb0ab6f79d0660e7b610f10e0aaeea91fb1746bf181f5068","observation_id":"708c92dd-43b7-429e-8c4b-cbf3609bcf10","resolution":{"observed_at":"2026-08-16T11:07:12.838099Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.824516Z","title":"Sheng, R","venue":null,"work_id":"a58af835-f2fd-47b8-a2f8-eb85532dcfc9","year":2024},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.696185Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:2b7f90f3b13fa334be6f1a40417e32b306514e604624973e2ca64e2e3641a73c","observation_id":"0a40249c-0a30-4b3a-85db-e6e3cdde38ca","resolution":{"observed_at":"2026-08-16T11:07:12.827801Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.813797Z","title":null,"venue":null,"work_id":"0c55cb84-30a6-4321-bfd5-3e8b04f97eba","year":2019},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.699411Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:8c9d98b1468aab935a714565bf7748d49a8c95844dac33f583ccd21209492d69","observation_id":"8a84fb42-1344-483a-b112-264e780eeaf4","resolution":{"observed_at":"2026-08-16T11:07:12.817366Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.802439Z","title":"Tang and N","venue":null,"work_id":"49c9f537-8613-493d-a1f1-c98c25e25d82","year":2023},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.702808Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:f924f804d23cd8ff69e1e02e686873448796f913ce87aee9754ddfcda27bf77d","observation_id":"d352de4c-baf2-41ae-8fa5-e8a38e821f68","resolution":{"observed_at":"2026-08-16T11:07:12.806021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.791001Z","title":"Weibel, An Introduction to Homological Algebra, Cam bridge university press, 1994.11","venue":null,"work_id":"787b0e89-9dd8-4c06-aff2-4cb6e284b641","year":1994},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.706090Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:83736e5790315faf26ceda761fef09d935270008179bfde7edad89e8539e8fa4","observation_id":"d9a99082-3593-42f6-b0b1-70fa62a5747c","resolution":{"observed_at":"2026-08-16T11:07:12.795141Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.779624Z","title":"Zhang, X","venue":null,"work_id":"b502e519-15e3-45a3-a7cf-61bd12e5401d","year":2020},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.709280Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:8fc22f2a018b9c2ef8c8136edc759da82a15dfbd3e7c9316fa4c71fef69d22a9","observation_id":"6841c754-38b9-49b0-912a-a0da2dbcec22","resolution":{"observed_at":"2026-08-16T11:07:12.783593Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.767837Z","title":"Zheng, L","venue":null,"work_id":"9fc2bb5d-29d7-4e30-b060-60d489897c20","year":2020},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.712695Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:8004d425a59b4c7279bd1fbbb2c9db6b1312cad89fc637aff34e23c12756269a","observation_id":"9026f928-3df6-423d-be8e-26a5b748a4f7","resolution":{"observed_at":"2026-08-16T11:07:12.771998Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-16T11:07:12.755859Z","title":"Zheng and L","venue":null,"work_id":"1e9d0e97-52f9-4662-aad5-ff0329423f7d","year":2025},"citing_paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-16T11:07:12.716038Z"},"links":{"citing_paper":"/paper/2504.16643"},"observation_digest":"sha256:ebcef6389b3a36a99d75b5e59d6efc6a013ef90de927cc95b27f8145ef722ec6","observation_id":"adf39740-3a1a-4c20-b55e-f54b998ccefd","resolution":{"observed_at":"2026-08-16T11:07:12.760507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2504.16643","last_updated":"2025-04-23T12:03:25Z","latest_version":1,"primary_category":"math.RA","snapshot_observed_at":"2026-08-16T10:56:24.497638Z","submitted_at":"2025-04-23T12:03:25Z","title":"Multiple Rota-Baxter algebra and multiple Rota-Baxter modules"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":0,"verified_fuzzy":23},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2504.16643."}