{"as_of":"2026-08-11T17:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:76d9ce8abbfb4098acd63909189d245bb1d0145470e43b6d7e08bfbca0f28c92","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T05:52:40.836377Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2412.17261/citation-record","integrity":"/paper/2412.17261/integrity","json":"/paper/2412.17261/citation-record.json","paper":"/paper/2412.17261"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:52:41.308856Z","title":null,"venue":null,"work_id":"8065a055-ef14-4b7a-9831-7263a101c8b5","year":2020},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.673753Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:2fd254a70c21086c91a95cc209469160538a1e7cf82f7900519ec9ec7c82e2c6","observation_id":"bdbc4b74-ddc7-46c4-8178-9ccc5ce078d0","resolution":{"observed_at":"2026-08-11T05:52:41.313213Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.298278Z","title":"SECOND QUANTUM WEYL ALGEBRA 3 2.1","venue":null,"work_id":"aa6ccdb8-5f33-4301-9b1b-6b46d09a38d6","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.679633Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:958f7126561ad556f2731e869e4691059abf29ee5c8ba3abfee71f8a94b2de19","observation_id":"7f5d382e-ca59-48bc-878f-d123d27969fa","resolution":{"observed_at":"2026-08-11T05:52:41.302176Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.286989Z","title":"In [18, Theorem 3.1], we determined the PI degree under the divisibil- ity condition","venue":null,"work_id":"0cc49083-a128-46eb-b309-03ed73fed3d5","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.684365Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:f2d41e90f2bc443b9fef3c87447349cde57a5c5a8f2ae2ad04c52cf63fb6d5e9","observation_id":"f1ca73d1-d97c-415d-9c40-a4eeeabad82f","resolution":{"observed_at":"2026-08-11T05:52:41.291334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.275690Z","title":"Suppose /u1D440is a simple /u1D434(/u1D45E1, /u1D45E2, /u1D706)-module","venue":null,"work_id":"47ecbc5f-58ef-4057-9051-1ec949c51ef2","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.688960Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:c86fb0bf17a778f8bd3721b6946f1accd984a6e662c53d20895c2b3d6c31226a","observation_id":"54912729-a3df-404c-8460-b51a339a921d","resolution":{"observed_at":"2026-08-11T05:52:41.279392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.264070Z","title":null,"venue":null,"work_id":"54717a9a-dc39-4a85-a380-951f38308cc8","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.693738Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:18c7b5922882632a01182f898dfa49fd584399eb14a943ade15c10241ced6561","observation_id":"42cef532-ad3e-4124-bb69-a1ca7392def1","resolution":{"observed_at":"2026-08-11T05:52:41.268348Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.252423Z","title":"Suppose /u1D713: V1(/u1D707 ) → V 1(/u1D707′) is a module isomorphism","venue":null,"work_id":"4f6566b2-d758-4693-bee9-3218f015644c","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.698449Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:fecc0f9dd2f7cc1bb20d163f92105125a724ffa1c167759e9bb58ad6d83e3f92","observation_id":"3ef1abcb-8a3c-4d3e-97d7-dc5abbdf5b67","resolution":{"observed_at":"2026-08-11T05:52:41.256556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.240528Z","title":null,"venue":null,"work_id":"41f9c7a9-9357-4a57-9fb7-05d19853d57a","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.703484Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:47c0b685347536b7327d23c19efe369b1130e8a9d72fe1b39f577cc88e3aae77","observation_id":"96f74bf3-a959-45f6-9de6-2d4d3e730fcd","resolution":{"observed_at":"2026-08-11T05:52:41.244961Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.227862Z","title":"Note that /u1D719is a bĳection","venue":null,"work_id":"69a7b4bf-d7e6-4143-a0fd-98dae535b51a","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.707756Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:b55ff95397b4fab6803f99c7c53cc6b37988fd4bfca24ab36ee32d07d288f613","observation_id":"c3bef072-87d5-4712-ab73-ae2a93e79c3e","resolution":{"observed_at":"2026-08-11T05:52:41.232745Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.215652Z","title":"It can be easily verify that /u1D719is an /u1D434(/u1D45E1, /u1D45E2, /u1D706)-module isomorphism","venue":null,"work_id":"71053d63-b178-4a89-9fcf-cb662416de8e","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.712021Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:a6f6112c24928adecf55306669519c4baed05b3afe925b9ea147280fc929cb3e","observation_id":"93247230-16cd-48d2-afdf-3466ff4e0f2e","resolution":{"observed_at":"2026-08-11T05:52:41.220112Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.204386Z","title":"This means the actions of /u1D4671 and /u1D4672 on /u1D440are invertible","venue":null,"work_id":"fb6cf448-3b42-4352-a52a-98740afd05d9","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.715917Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:660c3a7236b9d319b9318c53bb5393a98f8cd245c857c0663447adf292f37c3e","observation_id":"fd35d684-e67b-470d-8176-486944e3b48d","resolution":{"observed_at":"2026-08-11T05:52:41.208558Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.193694Z","title":"Denote /u1D451:= lcm(/u1D4591, /u1D4593)","venue":null,"work_id":"1fe7dd99-2bb8-42eb-a502-12c6aca15050","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.719985Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:630813df4317c5dfcd8a970a59627b67de75dba2a0c0dc803b85d1f8a8044995","observation_id":"2919c33a-a1a3-4a60-8846-0a905da9693c","resolution":{"observed_at":"2026-08-11T05:52:41.197683Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.182736Z","title":null,"venue":null,"work_id":"5e074818-0fca-4287-941a-5e05d4343215","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.723760Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:fc7a6bec1f40afcaba6f087b26c58d8315d2bd0d0dfa39f10c03ef7350fdd254","observation_id":"4a4e00e9-2232-4515-bc3c-779e98320a2d","resolution":{"observed_at":"2026-08-11T05:52:41.186607Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.171023Z","title":"This means that the operator /u1D4671 is invertible on /u1D440, while the operator /u1D4672 is zero on /u1D440","venue":null,"work_id":"86fd1219-d199-4cd5-a0d5-6c06542f1f73","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.727927Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:a422b5258551fe357c7ecc9ab36ed524dd8ee68bf339b1b7708c5fb6063aa30c","observation_id":"ea0190c3-c77a-43c3-a4e1-defed6d7f26a","resolution":{"observed_at":"2026-08-11T05:52:41.175137Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.159438Z","title":"Thus by Schur’s lemma, /u1D7195 becomes a module isomorphism","venue":null,"work_id":"b6de16c2-02e7-4039-9b0a-657d76ea8be9","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.731879Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:dd9d5b12eb2dda43fa2ff4802d341e9d2e9db1627427fffc91081be6be7a2777","observation_id":"055666d1-8a8d-4abf-a663-6cec214aa730","resolution":{"observed_at":"2026-08-11T05:52:41.163602Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.147554Z","title":"This means that the action of /u1D4671 on /u1D440 is zero","venue":null,"work_id":"7a83fdc1-5fcb-4af2-ae7d-3e64c13a2a08","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.736735Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:d58340ba4f653c04b138297616658809491438bf7d82e63cc25fd75f8457cb87","observation_id":"3b92a481-57c7-4cd0-9406-24dee0206592","resolution":{"observed_at":"2026-08-11T05:52:41.151754Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.135975Z","title":"Alev and F","venue":null,"work_id":"cd2f29ef-5e44-42a0-916e-1e502895c1cb","year":1996},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.740907Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:1d726c7b0e3f116dba90fac0507a3d857af6d4008b2bbab952cf4b699f2445ca","observation_id":"da6c5e4e-0cbe-4c72-9c9b-fe32fbdd32f2","resolution":{"observed_at":"2026-08-11T05:52:41.139860Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.123281Z","title":"Akhavizadegan and D","venue":null,"work_id":"73464cdc-47e3-4086-9e18-fa64db4f7d71","year":1996},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.745268Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:01d0ec877b82d587a74f125baa98c43ee61a1a60dd84068b1815cab7d0c213ae","observation_id":"9fa0b96a-4e5c-4869-9ef0-d750841759ef","resolution":{"observed_at":"2026-08-11T05:52:41.127422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.111205Z","title":null,"venue":null,"work_id":"d2dcc7d7-1e40-42e4-bbaf-75f111386780","year":1995},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.751591Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:29701c738522cf42727d9be0fbd9bf1eee7d143a574432e93ab7071f706cadb2","observation_id":"3fc7b8b4-8e5e-4405-b2e2-18de7c76c0f4","resolution":{"observed_at":"2026-08-11T05:52:41.115393Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.098749Z","title":null,"venue":null,"work_id":"f4d11cfa-6f1d-4dce-9822-9cae1dd8784d","year":2002},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.755951Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:1f70510878af04ab821d08e25b6b88ede77cbfc180fb5e1ae511a3402cb11c63","observation_id":"cb096034-c4ac-49e3-a239-cb362cc78cb0","resolution":{"observed_at":"2026-08-11T05:52:41.102706Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.086176Z","title":"Boyette , M","venue":null,"work_id":"81a01f86-f31c-4879-b7cf-8cd6dd4d74d3","year":2000},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.760378Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:3dd340fe4557bdf18f266cbd905679905c7510dc82e68d0f75e9dbd557d35425","observation_id":"c758c5cd-8afc-4ecf-98c2-037570297ddb","resolution":{"observed_at":"2026-08-11T05:52:41.090516Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.073102Z","title":"De Concini and C","venue":null,"work_id":"500cd1ca-bcad-4033-a392-7160a052cb0f","year":1993},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.765734Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:61e3880fbc239219bada64bc49be43e8a063b4abcabe6e0863f392ac23b62cf4","observation_id":"e80896ce-9082-4c54-a66c-fe653523db97","resolution":{"observed_at":"2026-08-11T05:52:41.077757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.059575Z","title":null,"venue":null,"work_id":"80f3bf78-8d9f-4660-8f6f-ea9774a5a2c0","year":1996},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.769875Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:c2db323012a5bce2e49d5f8e75af119b746bd2e5cbde1ff8ee2a29354050b951","observation_id":"fff94965-b34d-48db-aa53-c6144d5186de","resolution":{"observed_at":"2026-08-11T05:52:41.063739Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.046533Z","title":"Giaquinto and J","venue":null,"work_id":"293fd071-f73c-41ed-873b-8e8fb0fc19fc","year":1995},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.774088Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:266f958524beadb1eb21a07d4627fabd3e612ddadbb441a5c4f7108800e841aa","observation_id":"d3cb43d6-141e-41b9-a35d-c62ff0da181d","resolution":{"observed_at":"2026-08-11T05:52:41.050593Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:40.778265Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.778265Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:453097f111fda190983216bb34a3893457436c611f42f915d430d9e8bd056e5a","observation_id":"e09303aa-baaa-4853-aebc-5a161cf89a68","resolution":{"observed_at":"2026-08-11T05:52:40.778265Z","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":"2026-08-11T05:52:41.021575Z","title":null,"venue":null,"work_id":"e67aec50-0376-403a-a770-5baa3dd8b208","year":2015},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.782625Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:5a50f4d767d5ac5d88b295270047811a7d65910cd13288a2cdf4a1c1be39b64f","observation_id":"11263bc5-4bed-4432-8d8c-8f2cff724a3f","resolution":{"observed_at":"2026-08-11T05:52:41.025696Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:41.010068Z","title":"Heider and L","venue":null,"work_id":"9508e59b-b9ed-4b23-af09-0e0b6f2fe73d","year":2014},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.786485Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:a408e8c1374303aeb4b20eb901fa789a1738a3619ad2e23b563f49ae49b12016","observation_id":"7a892cbe-cc7e-4639-8d5c-a61dc3239e73","resolution":{"observed_at":"2026-08-11T05:52:41.014088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:40.998731Z","title":"Jordan, Finite-dimensional simple modules ov er certain iterated skew polynomial rings, J","venue":null,"work_id":"a0994b9d-2e84-4f3c-a38d-14225a5067ac","year":1995},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.790377Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:e61e73c61f25735a1e5199957a68dbb00dfa28f7e5cca63f216fdf9b51ee9214","observation_id":"a1a877a7-81a2-4078-9808-4e1630e10768","resolution":{"observed_at":"2026-08-11T05:52:41.002728Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:40.987960Z","title":"Jordan, A simple localization of the quantized Weyl a lgebra, J","venue":null,"work_id":"c4619437-63a2-4a93-9693-e9114ee809d5","year":1995},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.794591Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:79c5cbfc519b4db23c0f3faa5d4dd8e1cdcba6869bdc4c343ae2acd7cc21d3a3","observation_id":"aec0fc86-fa26-491a-8515-3755bdcfbd43","resolution":{"observed_at":"2026-08-11T05:52:40.991584Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:40.976621Z","title":"Leroy and J","venue":null,"work_id":"25bc072a-2889-4637-9a1d-29676eb09144","year":2011},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.798500Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:8a9762b8d5039dbe95bf5f3eff62a768704d1d8e41287129539bd6f89b190855","observation_id":"ade7958e-56e0-47b9-b1c0-6cf9649bbe1c","resolution":{"observed_at":"2026-08-11T05:52:40.980378Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:40.965021Z","title":null,"venue":null,"work_id":"aa9fcd3f-930c-4110-b224-11e751211e54","year":2001},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.802597Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:6c0be06c4af0c30cbacc446b531c4a96fb5cf1dc0299cc4aee0d40d315cc4a9e","observation_id":"bf91833c-3cc0-4aeb-b48c-1fb2943b9647","resolution":{"observed_at":"2026-08-11T05:52:40.969172Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:40.953418Z","title":"Maltsiniotis, Groupes quantique et structures diﬀé rentielles, C","venue":null,"work_id":"0d45b0a7-1092-4a55-b40a-c47ad1e52f09","year":1990},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.806831Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:f5f5b93df981033f1a6e623c11816b99eab51a22b276745273f93a9ecf2ac7f1","observation_id":"b86eaaa9-4cf8-4572-b1cc-072e4f72df1e","resolution":{"observed_at":"2026-08-11T05:52:40.957390Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:40.941411Z","title":"Mukherjee, S","venue":null,"work_id":"31397ba5-1e53-4147-a342-80d163b28dad","year":2024},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.810852Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:a4700994e1d92608a56ede740a778a7fd5eafafeadf542e0749a0f9ff2d16d05","observation_id":"fd1e748f-8c23-43a0-b4a7-9bc7d363c0ad","resolution":{"observed_at":"2026-08-11T05:52:40.945794Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:40.928641Z","title":"Mukherjee, S","venue":null,"work_id":"38900ef2-2fac-4940-a368-e8c79c9543a9","year":null},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.814823Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:77ce0c423f9991a102ef5d91f6601318e42b34eb7c063c5c9b03031e496bc433","observation_id":"0744b6ec-d9fc-4c53-bc4b-74a8d793ef59","resolution":{"observed_at":"2026-08-11T05:52:40.932549Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:40.915902Z","title":"Newman, Integral Matrices, Pure and Applied Mathematics 45, Academic Press, New Y ork, 1972","venue":null,"work_id":"48b17d9f-a620-4253-bf8f-ff45440d90e6","year":1972},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.819161Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:7dbc8a80040f50d82ca560a2127e25e48b0c0f9ff00b4ec75ed6c23d065d0902","observation_id":"66f9d50d-a624-4da2-b6c7-f2f80f6ba199","resolution":{"observed_at":"2026-08-11T05:52:40.920082Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:40.903861Z","title":null,"venue":null,"work_id":"efd72cba-786c-4bec-99b5-7c0e63de51ed","year":2019},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.823569Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:1fee5f453066ddb23674ac348c05282068425ac018744bf7c14348d196f83aa8","observation_id":"95e25f6d-3bfc-4acb-9380-752291eca6f2","resolution":{"observed_at":"2026-08-11T05:52:40.908004Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:40.890860Z","title":"Rigal, Spectre de l’algébre de Weyl Quantique, Beitrage Algebra Geom., 37, (1996), 119-148","venue":null,"work_id":"774a083a-c574-4003-a68a-ff7664316f4d","year":1996},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.827844Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:7fc32bd6a89320eb229c63925382b841231ed8439b2d35c6c5c95449e4e900a6","observation_id":"7dc61060-bddb-4132-877b-45c3411d0b34","resolution":{"observed_at":"2026-08-11T05:52:40.895071Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:40.879025Z","title":null,"venue":null,"work_id":"0cd27598-099e-4f89-b17e-766c8a1dce76","year":2017},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.832193Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:139bd5724e0e9566ae7f6b7c0921215da1826b8bdef49b264b5a7495ce04c4ff","observation_id":"0488cf14-755a-47bf-b596-39f286bd6f40","resolution":{"observed_at":"2026-08-11T05:52:40.883161Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T05:52:40.865524Z","title":"Walton, An invitation to Noncommutative Algebra, Assoc","venue":null,"work_id":"9fd4ba82-d663-4297-994c-f45feb0e9438","year":2019},"citing_paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T05:52:40.836377Z"},"links":{"citing_paper":"/paper/2412.17261"},"observation_digest":"sha256:56cf538b2eabc303ebcbbb77b1bb9199068535cc6a31f5b1b64d8c7c9b703e66","observation_id":"a03e5327-dfd1-45fb-84b3-6ac671104985","resolution":{"observed_at":"2026-08-11T05:52:40.871163Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.17261","last_updated":"2024-12-23T04:09:20Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-11T10:09:15.135029Z","submitted_at":"2024-12-23T04:09:20Z","title":"Simple Modules over Second Quantum Weyl Algebra"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":0,"verified_fuzzy":26},"total_outbound_references":38},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2412.17261."}