{"as_of":"2026-08-17T17:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cec8b79dccfad825ade45e17e75744d13c6bd031111115e58e6e269e1b9dfc33","coverage":[{"denominator":32,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":32,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T12:23:14.638909Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2504.13232/citation-record","integrity":"/paper/2504.13232/integrity","json":"/paper/2504.13232/citation-record.json","paper":"/paper/2504.13232"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:15.180246Z","title":"A logical calculus of the ideas immanent in nervous activity,","venue":null,"work_id":"9cfdd000-2ed6-4395-9494-d403debb2cc3","year":1943},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.492451Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:9df6d0cc1625ea2273441c6fd77db1b23db7121c156afaebd746a29209dee184","observation_id":"53bf49a0-52c4-48de-94e8-63caff2d963c","resolution":{"observed_at":"2026-08-16T12:23:15.184860Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:15.163278Z","title":"Adaptive switching circuits,","venue":null,"work_id":"1fa20ced-ab97-4c57-b9ed-79c621ac9055","year":1960},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.497722Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:9d75df2d22abaf5d31c8e99c6d27a4acf42df20e28381d2d5d897be9abd8b44b","observation_id":"e9880cc7-ffb3-4f9b-a48b-145b312a95a4","resolution":{"observed_at":"2026-08-16T12:23:15.168867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:15.143221Z","title":"Reliable, trainable networks for comput- ing and control,","venue":null,"work_id":"64c0977d-3ac4-4788-b3d3-e9d04b0c8aad","year":1962},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.502422Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:55ce8f57a9866ce9854171c37f182d5e11bf51bcd1abf483f9953d43e231fe7e","observation_id":"3b785c61-b530-41f8-ae77-fc76f4ed3057","resolution":{"observed_at":"2026-08-16T12:23:15.148461Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:15.127137Z","title":null,"venue":null,"work_id":"1bacfda9-d1b8-428c-a097-a78cda9bdecc","year":2001},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.507552Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:ab3b4eba362bdb70bfbf20516bd50120af04a6b7093939310d29461821ddca96","observation_id":"a5012a14-9247-4c98-b27f-63f65b523454","resolution":{"observed_at":"2026-08-16T12:23:15.131915Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:15.108956Z","title":"From the quantum Moore’s law toward silicon based universal quantum computing,","venue":null,"work_id":"8f025a2b-29ed-4a92-947b-50b70815afd0","year":2017},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.512546Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:4565cc0e0f1fbdd8f566573d8b55ef5b6be11992ce3916f2f7b4374f61c008c2","observation_id":"bd95b070-6f6b-4ad0-99b4-e131c7749142","resolution":{"observed_at":"2026-08-16T12:23:15.116030Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:15.091899Z","title":"Simulating physics with computers,","venue":null,"work_id":"9c767b27-a5ba-4af3-99c9-5302b0064336","year":1982},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.517666Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:bbf42c898ca2b7b2e1b544bab04cbf97120f6e37ba88bab07c97d4f36bb1251b","observation_id":"93114e27-b497-4799-aca8-0e081fb26d69","resolution":{"observed_at":"2026-08-16T12:23:15.097721Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:15.075245Z","title":"A novel approach to nonlinear/non-Gaussian Bayesian state estimation,","venue":null,"work_id":"f3508dc8-346b-4a8b-b339-defa924d1eea","year":1993},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.523012Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:eee55bfd4e4c8913993cde10a2f81dca8c54b2b8b955078fa86e7f1e1e5a1565","observation_id":"08fb165e-6395-47b0-a934-dd4723bee54c","resolution":{"observed_at":"2026-08-16T12:23:15.080169Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:15.059762Z","title":"On sequential Monte Carlo sampling methods for Bayesian filtering,","venue":null,"work_id":"8c9e11f3-d240-405a-9331-e84c6c19df0f","year":2000},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.528031Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:a83e7bc8d967b9d34ad9376cf795ec19366483e0166f12468313203b8b81a54e","observation_id":"701561e8-abe0-441c-81f5-d4e1fb2ef31c","resolution":{"observed_at":"2026-08-16T12:23:15.064561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:15.044250Z","title":"Quantum signal processing,","venue":null,"work_id":"83fde616-b32f-49ac-a293-1c848867d24f","year":2002},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.532682Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:42baa553181a826c8380590f88708afb5fb2d65ed3792eb07da10c85e8d9f008","observation_id":"47354727-9250-4311-94f8-82d04878bfe7","resolution":{"observed_at":"2026-08-16T12:23:15.049205Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:15.028562Z","title":"An introduction to quantum filtering,","venue":null,"work_id":"23990e4c-bcf5-4f51-b733-282f847861cb","year":2007},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.537204Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:42d1e6511b3bb8e73a7e940b75b7a9298199d4d79281eaa70830751c1a3dc102","observation_id":"3acd7057-95ae-4537-8a71-7d24a44a1e70","resolution":{"observed_at":"2026-08-16T12:23:15.033537Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:15.009626Z","title":"Quantum computing through the lens of control: A tutorial introduction,","venue":null,"work_id":"22863c88-2cc0-4999-8d96-58c95718d494","year":2024},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.541709Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:c5b10788693fcd218afd5382a26292815bfd95928a23457dc413d83f253ea1a4","observation_id":"dc1513e9-631e-4002-8e14-9582311ab347","resolution":{"observed_at":"2026-08-16T12:23:15.016136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.991827Z","title":"Quantum machine learning,","venue":null,"work_id":"4d7b1ef8-291c-47e8-b72a-efe04c95aebf","year":2017},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.546455Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:ad3aba2b3186a8c73178e6cade6b7aaeb5cf87637b57ed9b3523b928c565e1c0","observation_id":"f7102378-be3f-4593-b9f3-bb893fa8fd3d","resolution":{"observed_at":"2026-08-16T12:23:14.996328Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.977233Z","title":"On quantum methods for machine learning problems part I: Quantum tools,","venue":null,"work_id":"776c2b6b-0908-4911-9e59-0edc0038eed9","year":2020},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.551089Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:635bb927a730fb3d5ebf98cbeecc1d2d733b6f7edb2bb08028179d3f62466c1f","observation_id":"ab1d2826-57e7-4368-9bda-d093cd624545","resolution":{"observed_at":"2026-08-16T12:23:14.981854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.961943Z","title":"On quantum methods for machine learning problems part II: Quantum classification algorithms,","venue":null,"work_id":"e47dad08-9e35-4c7c-abbe-3a0fa411f48e","year":2020},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.555907Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:f1b176ef8624ed64ccdcd616eb3fbdd9463c07d89f1a189394bbd64a3cbda734","observation_id":"e2b3b027-0565-4398-8eca-a2114fbc1eb9","resolution":{"observed_at":"2026-08-16T12:23:14.967047Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.946752Z","title":"Training deep quantum neural net- works,","venue":null,"work_id":"9700c5ed-88a6-4645-9fb1-5c0a569c2b52","year":2020},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.560502Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:385a5f51be74815eeb786f622f0245bc16157005ba032e21f5d59daf9b535462","observation_id":"cd175921-ecda-42bc-bac0-1aeb1340ebbb","resolution":{"observed_at":"2026-08-16T12:23:14.951660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.932194Z","title":null,"venue":null,"work_id":"51230178-3955-413a-b854-70e464e7a124","year":2011},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.564945Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:bfa65c01cfbab82f4ad55f0146dc6387eb6443bcabc255db4cdd43729f1a25a9","observation_id":"5c5e27b3-e74f-436d-b5d4-ea5015c94b84","resolution":{"observed_at":"2026-08-16T12:23:14.936717Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.09415","last_updated":"2023-01-16T18:29:22Z","snapshot_observed_at":"2026-08-14T16:04:25.825873Z","submitted_at":"2019-07-19T08:56:18Z","title":"Quantum Computing: Lecture Notes","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.09415","snapshot_observed_at":"2026-08-16T12:23:14.569262Z","title":"Quantum computing: Lecture notes,","venue":null,"work_id":null,"year":1907},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.569262Z"},"links":{"cited_paper":"/paper/1907.09415","citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:02f7b2abd865f13cb594b729e2971b78daf6499ba3e8ee3459784e04386de7a5","observation_id":"6f387f56-152a-45e4-aef4-4c482595fa1a","resolution":{"observed_at":"2026-08-16T12:23:14.569262Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.09729","last_updated":"2018-06-25T23:55:24Z","snapshot_observed_at":"2026-08-15T11:43:30.373207Z","submitted_at":"2018-06-25T23:55:24Z","title":"A Universal Training Algorithm for Quantum Deep Learning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.09729","snapshot_observed_at":"2026-08-16T12:23:14.573977Z","title":"A universal training algorithm for quantum deep learning,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.573977Z"},"links":{"cited_paper":"/paper/1806.09729","citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:4d92751518a27e528c9b5d5126a3ea2fed7f26cc68ac895d5b91dfc26dd9a17c","observation_id":"cc133081-cfab-462e-b47b-b429fafa67bd","resolution":{"observed_at":"2026-08-16T12:23:14.573977Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.03888","last_updated":"2015-10-13T20:40:05Z","snapshot_observed_at":"2026-08-14T22:28:00.101720Z","submitted_at":"2015-10-13T20:40:05Z","title":"A Framework for Approximating Qubit Unitaries","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.03888","snapshot_observed_at":"2026-08-16T12:23:14.578701Z","title":"A framework for approx- imating qubit unitaries,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.578701Z"},"links":{"cited_paper":"/paper/1510.03888","citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:c66ef4f5118b3e7497271d51725f9d40824ee52762a24f8d5cc05426ffcbccd2","observation_id":"4e95b3ce-5afe-462f-8436-5238e46ed3e4","resolution":{"observed_at":"2026-08-16T12:23:14.578701Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1504.04350","last_updated":"2015-04-16T19:21:37Z","snapshot_observed_at":"2026-08-14T22:52:08.259552Z","submitted_at":"2015-04-16T19:21:37Z","title":"A framework for exact synthesis","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1504.04350","snapshot_observed_at":"2026-08-16T12:23:14.583493Z","title":"A framework for exact synthesis,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.583493Z"},"links":{"cited_paper":"/paper/1504.04350","citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:1c827a75b2c945e5b9ad565ffb1ac92d0fb09e9033524a2f6adb733db604762c","observation_id":"e484f5d3-071d-4bbd-8fa3-8c56df87c90c","resolution":{"observed_at":"2026-08-16T12:23:14.583493Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.16771","last_updated":"2024-10-26T19:53:20Z","snapshot_observed_at":"2026-08-16T14:39:39.375477Z","submitted_at":"2023-11-28T13:25:34Z","title":"The HR-Calculus: Enabling Information Processing with Quaternion Algebra","version":2},"cited_work":{"arxiv_id":"2311.16771","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.16771","snapshot_observed_at":"2026-08-16T12:23:14.692139Z","title":"The HR-Calculus: Enabling Information Processing with Quaternion Algebra","venue":"stat.ML","work_id":"8ff53704-c17f-459c-bc2c-e1fe65979880","year":2023},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.588186Z"},"links":{"cited_paper":"/paper/2311.16771","citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:bf7181f8df0d0ef87e35b08ff620014647c4274753ef9c548e26519211e5cda2","observation_id":"00988ae9-5c11-4730-9782-bb0b7213bee3","resolution":{"observed_at":"2026-08-16T12:23:14.699663Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.916770Z","title":"Geometric alge- bra quantum convolutional neural network: A model using geometric (Clifford) algebras and quantum computing,","venue":null,"work_id":"9c97928b-0057-4dba-83e2-16bf500bc09b","year":2024},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.593400Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:c95e0925bae448695428f221f0bcd09d61cac5b5fd48d750aa4f1ce396881572","observation_id":"5d0c8eca-b78f-40c8-8f9d-da0010062078","resolution":{"observed_at":"2026-08-16T12:23:14.921592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.901498Z","title":"Quaternion-based arithmetic in quantum information processing: A promising approach for efficient color quantum imaging,","venue":null,"work_id":"da62dfbc-7b47-4cbf-9830-faf1e37daf6a","year":2024},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.597866Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:d3c4d51235ad63de0d577be3f363b9098c6083431913630a561652f42689858e","observation_id":"9546d610-ecbe-47ac-8c80-922eacedfb28","resolution":{"observed_at":"2026-08-16T12:23:14.906487Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.885527Z","title":"Quaternion involutions and anti- involutions,","venue":null,"work_id":"1b6ebb30-d868-4f94-b63f-d23275c511ea","year":2007},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.602090Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:07953420cacfe3d1113540975ce509ac473cc84de5e05d627dd1e0386ab83c7b","observation_id":"36583f95-132c-4a59-9269-06c54ed22e37","resolution":{"observed_at":"2026-08-16T12:23:14.890764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.869752Z","title":"A quaternion gradient operator and its applications,","venue":null,"work_id":"60cf720e-7251-4ac6-b8e1-6e4e2e4aa673","year":2011},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.606946Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:677a51f8e734faebcbf52c75002dfffc0709693b7246a3e3350fe7d1787a534e","observation_id":"f4ecff16-8272-41b8-bd09-0eba010759d4","resolution":{"observed_at":"2026-08-16T12:23:14.875046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.853253Z","title":"Augmented statistics of quaternion random variables: A lynchpin of quaternion learning machines,","venue":null,"work_id":"1e653922-3e16-47eb-9903-f6bbaf120f17","year":2024},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.611290Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:27680ea7c8b8c3c63c3150d280edf699bd2f3aa3f0c41ef1715e57996789c864","observation_id":"9f5e13c9-c05d-4c90-a84d-602c1eff1434","resolution":{"observed_at":"2026-08-16T12:23:14.858779Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.837214Z","title":"Adaptive filtering algorithms for quaternion-valued sig- nals,","venue":null,"work_id":"8de02b67-9072-4aaf-bdbb-c63611e05ac7","year":2016},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.615872Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:99c2a0cc32dc755de3dd271be6ffacb1c054340cfd398bc102fb05e98a0a0cc2","observation_id":"e9eb504f-55ac-4a56-a9bf-b13f4916fa34","resolution":{"observed_at":"2026-08-16T12:23:14.842087Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.821897Z","title":null,"venue":null,"work_id":"daf03d3a-59f8-42a1-aeaa-1208ddaa3f66","year":1969},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.620360Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:df5b7a6a97e193c64dae3491a2f51d0b7005b254beefef473fcee6a125307c32","observation_id":"829b2f5a-6ea6-4f35-8b80-a1f00ea095ab","resolution":{"observed_at":"2026-08-16T12:23:14.826777Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.806083Z","title":"A quaternion frequency estimator for three-phase power systems,","venue":null,"work_id":"2f883837-b6d8-4894-a3ae-217fb47cb8ef","year":2015},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.624751Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:eaf727fb0c1fec05f107ee983729f45cea34648241ce3505ea79e402b306b439","observation_id":"9052f4e8-2704-4024-9791-9dcf1cbefcc4","resolution":{"observed_at":"2026-08-16T12:23:14.810946Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.02063","last_updated":"2019-12-12T15:02:50Z","snapshot_observed_at":"2026-08-14T16:52:16.192288Z","submitted_at":"2019-04-03T15:31:46Z","title":"Generalized Variational Inference: Three arguments for deriving new Posteriors","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.02063","snapshot_observed_at":"2026-08-16T12:23:14.629726Z","title":"Generalized variational inference,","venue":null,"work_id":null,"year":1904},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.629726Z"},"links":{"cited_paper":"/paper/1904.02063","citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:3449b21df1b8ec8227e3c4e44e94daac384777317fedc79be3210b3a32d0533a","observation_id":"14aa09e5-294d-4b11-bf90-bb250c27c1a4","resolution":{"observed_at":"2026-08-16T12:23:14.629726Z","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":"2026-08-16T12:23:14.790135Z","title":"Probability distribution function map- ping method,","venue":null,"work_id":"fecaa989-47d8-435b-b364-7e9d08cd5d2c","year":2011},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.634581Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:9b047b5392b305d1a6f5d28faadb6e6ffc9c640347c6ef60c5d25c5b9c1ba546","observation_id":"77fca3d2-0b5d-466b-a624-99f4b2a7abf6","resolution":{"observed_at":"2026-08-16T12:23:14.794926Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T12:23:14.774887Z","title":"Quaternion-valued dis- tributed filtering and control,","venue":null,"work_id":"e8235cba-038e-4c9e-8426-3bbc4329758d","year":2020},"citing_paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-16T12:23:14.638909Z"},"links":{"citing_paper":"/paper/2504.13232"},"observation_digest":"sha256:0b9c38f5089fcb788530f87ba95c769d397a1a6d1a06428cd96c3522e40f8547","observation_id":"97617b53-8129-4a7e-b1c5-3b2480ed21d6","resolution":{"observed_at":"2026-08-16T12:23:14.779777Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2504.13232","last_updated":"2025-05-08T11:00:16Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-17T07:05:33.154537Z","submitted_at":"2025-04-17T14:51:21Z","title":"A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices"},"reference_resolution":{"displayed":32,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":1,"verified_fuzzy":23},"total_outbound_references":32},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2504.13232."}