{"as_of":"2026-08-19T00:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3714fdfced4d41faad4d5c61314ca2fab08de372228b96e9e5f04df774923d83","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T04:36:57.797058Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2506.10830/citation-record","integrity":"/paper/2506.10830/integrity","json":"/paper/2506.10830/citation-record.json","paper":"/paper/2506.10830"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T04:36:58.046825Z","title":"Arbarello, C","venue":null,"work_id":"a119e817-9050-4346-a833-5e19bd584a63","year":1988},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.361805Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:a76e7e049c8dbd89768ad5bd91aa3c7224269c2d43d56a15953394c38fb370b5","observation_id":"7e637e66-a261-4733-865e-51c9bc64bd85","resolution":{"observed_at":"2026-08-07T04:36:58.049923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:58.037613Z","title":null,"venue":null,"work_id":"d45525d0-43be-4a6b-84a8-929ac9a45c48","year":2003},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.405778Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:39857482f60968163d9bc7785f4e23535fa9eec4583bd4aa099b85ac3bf96cbd","observation_id":"df9d2433-26f5-4562-af00-ea45b53c2f45","resolution":{"observed_at":"2026-08-07T04:36:58.040664Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:58.028198Z","title":"Chari and A","venue":null,"work_id":"6d87a9ae-6b23-4589-b413-5c338ac912d4","year":1988},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.493898Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:9df87635e752089d0f036cbfbad596d3f302d4bc1939ea40cf1895ef3970a8ed","observation_id":"6eb3eda4-ac96-4281-91aa-63eb25778793","resolution":{"observed_at":"2026-08-07T04:36:58.031069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:58.018830Z","title":null,"venue":null,"work_id":"98665672-7a69-4e0c-adab-ceba24c93197","year":2018},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.529106Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:998cde0acb37e4fb2c34135cd5cc670e9e5ad8486a7b010162312f20be24d3c9","observation_id":"8ede7286-3ba2-4b92-856a-33537fae6a1c","resolution":{"observed_at":"2026-08-07T04:36:58.022087Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:58.008861Z","title":"Chen and X","venue":null,"work_id":"3ca6d536-89dc-48a6-a5d9-b2484ee7d7b8","year":2013},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.614287Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:f95a9e9578d1ff1966646a38b4918923f5332792444376ad68159984daf08f98","observation_id":"2b772f06-c94d-4af4-ae2b-963e4fbad53d","resolution":{"observed_at":"2026-08-07T04:36:58.012218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.999290Z","title":"Chen and X","venue":null,"work_id":"ce3fe814-6661-49fc-8d56-7392a8309e16","year":2017},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.660497Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:595b2e4fec98ee676ae4149c23fced88f874bda37cbdaa66f02211f2f19a383a","observation_id":"9643a03d-fa79-47d8-b433-342b2f8363d2","resolution":{"observed_at":"2026-08-07T04:36:58.002406Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.990370Z","title":"Chen and Y","venue":null,"work_id":"a88257fb-16ad-4c5e-a4c4-96dd12d6ac78","year":2023},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.724082Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:a0ffaf3d27e50f47f008c776f9a818258bca5740fd7153383ee98fe276722c09","observation_id":"772997f0-cea1-4eee-ad6f-d46003b5d494","resolution":{"observed_at":"2026-08-07T04:36:57.993220Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.981188Z","title":null,"venue":null,"work_id":"d23b85cd-3f59-4fb9-8f50-1676dee8d14e","year":2025},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.745863Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:9e2f2c9ae0364fc63e708cdc90ff0dae320cf481c7177836606df24afd941b20","observation_id":"050eb117-8db9-4a98-ba00-c4ff1c7de4d0","resolution":{"observed_at":"2026-08-07T04:36:57.984427Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.971747Z","title":null,"venue":null,"work_id":"19e0d53f-c765-4827-9ea4-ee60e89c9535","year":1998},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.748874Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:ec405d0ae3e3c1873a15b443cb4df69840397dffc0aa7738809aac6f42b16b25","observation_id":"eccfa0dd-ba34-47d6-9269-61018032780d","resolution":{"observed_at":"2026-08-07T04:36:57.974806Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.961960Z","title":"Gao and Y","venue":null,"work_id":"c6514988-398b-4471-8c81-9a53960487a9","year":2022},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.751785Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:6ed3b34094645e75280cb8506c3fe8582b6be09db3a7c845e150507eb39afeda","observation_id":"eb7ea630-17a8-4053-b39f-ba4de206577a","resolution":{"observed_at":"2026-08-07T04:36:57.965053Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.951920Z","title":null,"venue":null,"work_id":"46d8bb17-2e5a-4b0c-978e-a430f329206a","year":2011},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.754873Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:5bf50e9db8b78276d8fdbe454f7d2727f53f1c7cc26e4104181f3b525fec0bb0","observation_id":"7cdfd180-b4b3-4be0-8e6d-ec27e3a1d510","resolution":{"observed_at":"2026-08-07T04:36:57.955387Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.942505Z","title":null,"venue":null,"work_id":"1460833f-7a0f-4bc9-93f3-5e64f270a7e6","year":2024},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.758420Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:8afbdc21b3af2f3f80fec49f4eb6a147b484d97460032858349ab84668e616d1","observation_id":"7e9ac6ef-2b34-4c3d-9f8a-a882055a4865","resolution":{"observed_at":"2026-08-07T04:36:57.945471Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.932867Z","title":"Liu and Y","venue":null,"work_id":"54ced6d0-98a1-4e93-ac01-3fee04f67870","year":2019},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.761411Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:6b764593705a38ea5b45c9655ab1640f1c1e784d944de101b4c60c505dc18914","observation_id":"55ecb694-21e9-4246-a4fe-d831b859f6dd","resolution":{"observed_at":"2026-08-07T04:36:57.935967Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.923503Z","title":null,"venue":null,"work_id":"990d6e52-efb1-411e-a917-cabe9cf3dd41","year":2020},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.764593Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:94ce1f914eb1f2b243610f87227c0e1672029d2347dbd65c6f22a7ef76ab8573","observation_id":"c4df6d70-4a31-42ae-be71-a3ffdfac9893","resolution":{"observed_at":"2026-08-07T04:36:57.926704Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.914253Z","title":"Lü and K","venue":null,"work_id":"2db60a56-6463-417c-ba3d-21399393a6f1","year":2010},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.767706Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:d826602844b885615902d6e1f9779c259b0b0851fa29e99c2abc6a03093cc19b","observation_id":"e811a325-873c-4d67-9a9a-f445a91312bd","resolution":{"observed_at":"2026-08-07T04:36:57.917166Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.904540Z","title":"Mazorchuk, Simple modules for untwisted affine Lie algebras induced from nilpotent loop subalgebras, Indag","venue":null,"work_id":"20d9e1ee-9fe8-4a9f-a10a-2a2996e3eae0","year":2024},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.770831Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:e096be4ef755f4c416437200bfb8cff81975834c31affd6de792f7a1f9a596b2","observation_id":"00cf1faf-590f-46e1-9295-bd55bf6fc400","resolution":{"observed_at":"2026-08-07T04:36:57.907791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.895306Z","title":"Mazorchuk and E","venue":null,"work_id":"b7261773-b415-438a-ba76-d5a06d1502d5","year":2014},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.773871Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:441fa8e5d76cb1601e1cc95e20ed6b765b62b18e718b2eed5cf1b0707e5dc612","observation_id":"2678e8f8-3672-4814-bdad-3807f3a86373","resolution":{"observed_at":"2026-08-07T04:36:57.898391Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.885839Z","title":"Mazorchuk and K","venue":null,"work_id":"9016eeb5-cfe5-435a-bc6e-fa24d9efa797","year":2014},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.776970Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:23177709e8e5fd6b7a7e38a0f4662edeac4283854caa6289d6daa946d82fbe7a","observation_id":"326bc21f-e41e-4593-90a0-b12ba1048978","resolution":{"observed_at":"2026-08-07T04:36:57.889207Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.874730Z","title":null,"venue":null,"work_id":"a70e6ad9-a263-4d34-ba39-982a6416c55c","year":1995},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.781953Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:bb4b33f6e656a78f9c183c8f3272dcffd89b979b348ff5a485f763c6c6ea6384","observation_id":"e60e88aa-6c48-4d50-be8a-e77b8c0d5c69","resolution":{"observed_at":"2026-08-07T04:36:57.878241Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.864965Z","title":"Nguyen, Y","venue":null,"work_id":"fdf5d6ca-84c1-41b6-8280-4ddfa0299178","year":2024},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.784941Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:93c928dbd583ec38fd34279864f70e67ce632a996fe2c12a8f8ebaefac63ea5a","observation_id":"17a07d8b-de8c-4f05-aa2b-2dc647198a1f","resolution":{"observed_at":"2026-08-07T04:36:57.868029Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.854634Z","title":"Ondrus and E","venue":null,"work_id":"502f685d-3ab3-4079-bfcc-29e4a4bfda3d","year":2018},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.787790Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:ee1a86d288d88336c6d2c7735090146e5fb7bfc3dbe8a58ccb25c9b4d7336698","observation_id":"d0e81b09-f390-4aea-85fc-1cfa84c36f92","resolution":{"observed_at":"2026-08-07T04:36:57.858268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.844165Z","title":"Ondrus, Modules induced from large subalgebras of the Lie algebra of differential operators of degree at most one, J","venue":null,"work_id":"027dfc2b-9a2b-4ca6-8de9-b3ecbb777be7","year":2025},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.790948Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:4411b36a36f81d9ac0200f98903133799041a184d7d890477d3c23f6cc6cfc99","observation_id":"66902db8-33c7-4333-a17a-e5a4b9804f2a","resolution":{"observed_at":"2026-08-07T04:36:57.847879Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:36:57.834261Z","title":null,"venue":null,"work_id":"0f10e002-9461-47b0-a74c-2d154d0ce92d","year":2007},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.794140Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:5ea2388657e33830e1f8d77fac070a027807bd55ebf2d3ef01b42ae1bb961f3b","observation_id":"6c183a24-af29-4e58-9fd3-d7f52b4f0077","resolution":{"observed_at":"2026-08-07T04:36:57.837435Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/prm.2023.132","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","work_id":"7cb891fd-d75f-4984-86ea-10bbaf94a1b9","year":2024},"citing_paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T04:36:57.797058Z"},"links":{"citing_paper":"/paper/2506.10830"},"observation_digest":"sha256:e9d40b04eb4de72e4b8da4fefa1b3b47dfb524189e273f46e67715d855b881d4","observation_id":"b75a54a1-a61b-4bec-87f2-305270724bad","resolution":{"observed_at":"2026-08-07T04:36:57.826951Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.10830","last_updated":"2025-06-12T15:46:35Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-18T17:29:42.141366Z","submitted_at":"2025-06-12T15:46:35Z","title":"Simple restricted modules of non-zero level over a deformed Heisenberg-Virasoro algebra"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":1,"verified_fuzzy":14},"total_outbound_references":24},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2506.10830."}