{"as_of":"2026-08-08T20:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8e37805761a7278e5f9a005b7c5e673d9006129586c326e8a9b68d13b4dbd0ea","coverage":[{"denominator":65,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":65,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T16:41:22.032881Z","state":"measured"},{"denominator":65,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":65,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2509.13793/citation-record","integrity":"/paper/2509.13793/integrity","json":"/paper/2509.13793/citation-record.json","paper":"/paper/2509.13793"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:17.299811Z","title":"Neurons with graded response have collective computational properties like those of two-state neurons.,","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:17.299811Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:db0d12d906ee351f49a157db8a2712bc38c7dc16de6741fb0953d7a4ec1202d9","observation_id":"13e979ff-afd5-493c-8c92-9031467884e7","resolution":{"observed_at":"2026-08-04T16:41:17.299811Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:17.433043Z","title":"“Neural” computation of decisions in optimization problems,","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:17.433043Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:cbb592c324c5ba5cb89e079693a8f5f9d25943d132c47be3d9e78fd0a8183e70","observation_id":"bbef23e1-3714-4f2b-a7c1-cbb058da87b3","resolution":{"observed_at":"2026-08-04T16:41:17.433043Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:17.523554Z","title":"Analog ”neuronal","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:17.523554Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:cb850d200c211a16aeb049ea3729f1f2a0ecc05c62b31b94b3935d0e56a816dd","observation_id":"32e8d6dc-0642-47bd-9ff8-fb12c06c9631","resolution":{"observed_at":"2026-08-04T16:41:17.523554Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:17.615246Z","title":"Resistive fuses: Analog hardware for detecting discontinuities in early vision,","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:17.615246Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:e69079f814ce0243efb9b8e573f76ca2a7e360a062bf948a9babd5c12ce73749","observation_id":"ecbd7fc9-7f9e-486d-9df9-9118c1eee80f","resolution":{"observed_at":"2026-08-04T16:41:17.615246Z","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":"10.1109/31.7600","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Cellular neural networks: Theory,","venue":"IEEE Transactions on Circuits and Systems","work_id":"eb59c1f4-0a92-442b-990d-78254aaa245b","year":1988},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:17.707013Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:fd8bddf8ddc3772e813c53204be9724a460ce51038449a5aebad555167f135b8","observation_id":"17b90f4e-6c8d-4ce0-93b0-7717dcab369b","resolution":{"observed_at":"2026-08-04T16:44:15.929023Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-04T16:41:17.802675Z","title":"The missing memristor found,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:17.802675Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:c4d3cfe40868eb054755bba25e3e716dd41f7aae39984450a00a10c050073c5e","observation_id":"47d19417-98b7-4e18-be43-b6a21b617095","resolution":{"observed_at":"2026-08-04T16:41:17.802675Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:18.037790Z","title":"2022 roadmap on neuromorphic computing and engineer- ing,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:18.037790Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:445e27ace33bdbbb42548b552cb9788c85ff427bfaef7ab75d3b9e638c086031","observation_id":"0a95d3ae-1a60-4980-b0fa-87b0e3598b86","resolution":{"observed_at":"2026-08-04T16:41:18.037790Z","resolver_source":null,"status":"malformed_identifier"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:18.146782Z","title":"Materials and devices as solutions to computational problems in machine learning,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:18.146782Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:138527d46a3de3c713b34041973ea9a5437661bebc35b975d1bbe2a5b2e06327","observation_id":"1b674eaf-78cb-43b1-b60b-a6b7912fa4fd","resolution":{"observed_at":"2026-08-04T16:41:18.146782Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:18.221920Z","title":"Fully hardware-implemented memristor convolutional neural network,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:18.221920Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:865e6ce412eeabcdafea5c94404f6dc65af0c363f15c4d30dd11855c77b1d1eb","observation_id":"6e81d3d6-6866-4deb-bc70-437314de1247","resolution":{"observed_at":"2026-08-04T16:41:18.221920Z","resolver_source":null,"status":"malformed_identifier"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:18.321802Z","title":"Memristive crossbar arrays for brain- inspired computing,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:18.321802Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:45e28ec15aa662a09baba75fdee8aab273f8b49534fb7806a81b8edd79453530","observation_id":"33388b7b-dc8e-4df0-96ee-b54573909b31","resolution":{"observed_at":"2026-08-04T16:41:18.321802Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:18.429234Z","title":"A Flexible and Fast PyTorch Toolkit for Simulating Training and Inference on Analog Crossbar Arrays,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:18.429234Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:727ce979cc8fdb3f2026b642b569e07da99368df95ff067442c7beb05768455b","observation_id":"81961784-8a0d-4126-a8ad-2f9277db7e5b","resolution":{"observed_at":"2026-08-04T16:41:18.429234Z","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":"2502.06309","doi":"10.48550/arxiv.2502.06309","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"ArXiv.org","work_id":"e8994a7a-4ffc-465e-9efc-8cc7ced01d72","year":2025},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:18.538076Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:c8a2ff0b1e19281498b27d45cfc406fbebe74a966cd3ad564da03c45e123dfbb","observation_id":"1ea735b6-0b50-4e86-ac13-1c7072e5b512","resolution":{"observed_at":"2026-08-04T16:44:15.900882Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.01981","last_updated":"2020-06-09T22:26:05Z","snapshot_observed_at":"2026-07-06T09:25:36.318996Z","submitted_at":"2020-06-02T23:38:35Z","title":"Training End-to-End Analog Neural Networks with Equilibrium Propagation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.01981","snapshot_observed_at":"2026-08-04T16:41:18.614443Z","title":"Training End-to-End Analog Neural Networks with Equilibrium Propagation,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:18.614443Z"},"links":{"cited_paper":"/paper/2006.01981","citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:c0f7dc332a9eb67148b62f2d4e62323c4a7eaa7cd21c786188ade1f123d9fcbd","observation_id":"ff99db00-7c52-473a-b074-c7d093b161d3","resolution":{"observed_at":"2026-08-04T16:41:18.614443Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:18.737281Z","title":"Dillavou, B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:18.737281Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:560431e87a9c8518c7cc11d9bdc8b5f68388e98ba9396f77813b4b5880019f5c","observation_id":"7ffcbc96-f2fa-4bda-9979-3e8cc88f1e8f","resolution":{"observed_at":"2026-08-04T16:41:18.737281Z","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":"10.1103/physrevapplied.23.044009","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Universal approximation theorem for nonlinear resistive networks,","venue":"Physical Review Applied","work_id":"6c1d540d-b992-4ce4-93f6-c91c14370bbf","year":2025},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:18.803586Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:03fd3fe69effd02c6f058733c93be4b8c1ee9e39feda966df8eb6cc7547d275a","observation_id":"e088cc93-c9b5-444b-9183-2d9c40ed9da7","resolution":{"observed_at":"2026-08-04T16:44:15.887066Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-04T16:41:18.897990Z","title":"Kirch- hoffNet: A Scalable Ultra Fast Analog Neural Network,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:18.897990Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:bd9e4ca70e7d72894e335ea7a1ad4cc0730a5a2bce6e8cf5892cf96959f95123","observation_id":"defcc4eb-61ee-45cd-b39f-7276e2c996c7","resolution":{"observed_at":"2026-08-04T16:41:18.897990Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:19.002795Z","title":"Energy- based learning algorithms for analog computing: A compar- ative study,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:19.002795Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:8647c534dae65d5b6df6a30891b9e75fed3ca575c887b984d206d5b38430ae0f","observation_id":"d9b4b87e-47e7-438c-b2e8-d3344623933d","resolution":{"observed_at":"2026-08-04T16:41:19.002795Z","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":"2503.00349","doi":"10.48550/arxiv.2503.00349","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Huijzer, T","venue":"ArXiv.org","work_id":"9b965476-d932-4148-a138-c818370a9175","year":2025},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:19.104385Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:9e3fde5b3a39abd5fd62bed70d0dbd6ade9cfdb8baf5ebcad39fdc5edbd9af42","observation_id":"4ec25246-6d4f-4158-854d-702ff752bce2","resolution":{"observed_at":"2026-08-04T16:44:15.876300Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-04T16:41:19.289378Z","title":"Equilibrium propagation: Bridging the gap between energy-based models and backpropagation,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:19.289378Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:e1abaa15278498a0140f488d5b6b6e527e3991d4b133aa28b2bd94d30e43dbbc","observation_id":"11f426b5-a7b7-451d-8ef0-36edb839f723","resolution":{"observed_at":"2026-08-04T16:41:19.289378Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:19.399343Z","title":"Monotone operator equi- librium networks,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:19.399343Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:66b762e03c43518752cf9a3b3a442d1c62ba28ffa2ee0e12d10bfbe39aaeb646","observation_id":"2b8b229f-ac56-48f3-a51a-c7e5db60fe34","resolution":{"observed_at":"2026-08-04T16:41:19.399343Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.11674","last_updated":"2024-06-06T09:13:14Z","snapshot_observed_at":"2026-08-06T16:02:36.738723Z","submitted_at":"2024-02-18T18:33:48Z","title":"A Fast Algorithm to Simulate Nonlinear Resistive Networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.11674","snapshot_observed_at":"2026-08-04T16:41:19.507113Z","title":"A Fast Algorithm to Simulate Nonlinear Resistive Networks,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:19.507113Z"},"links":{"cited_paper":"/paper/2402.11674","citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:e8ba02f6ccb8d5943768a686c2aa37f0712e482a1747e9441a778d4f81430f28","observation_id":"420b23f5-18fa-4a2a-8696-a90634a2dc7c","resolution":{"observed_at":"2026-08-04T16:41:19.507113Z","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":"2505.10366","doi":"10.48550/arxiv.2505.10366","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"ArXiv.org","work_id":"722bb813-67ae-4139-9d61-5d2f7b1b2b4c","year":2025},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:19.610534Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:2ef465d2b8f17354e3271ff7879790650fa81ba7a1c3b35d74b85138c6e1d533","observation_id":"866d6d93-c74d-4ea8-b149-e37a6ce70181","resolution":{"observed_at":"2026-08-04T16:44:15.846930Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-04T16:41:19.716350Z","title":"Circuit analysis using monotone+skew splitting,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:19.716350Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:8d5756181623bfe9e099b5d24475480ac7cfbeb966efd08c8acd1a10da317244","observation_id":"485a86c1-055c-4346-abec-f840d2991f49","resolution":{"observed_at":"2026-08-04T16:41:19.716350Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:19.817985Z","title":"Monotone one-port circuits,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:19.817985Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:6b49d8007ccde6013f1ce3b82f0740a488110a0acecce166501362b7694cc0d6","observation_id":"67035154-8800-43a0-ae75-0af2916739e4","resolution":{"observed_at":"2026-08-04T16:41:19.817985Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.22363","last_updated":"2025-05-28T13:42:26Z","snapshot_observed_at":"2026-08-07T13:06:35.551797Z","submitted_at":"2025-05-28T13:42:26Z","title":"Operator-Splitting Methods for Neuromorphic Circuit Simulation","version":1},"cited_work":{"arxiv_id":"2505.22363","doi":"10.48550/arxiv.2505.22363","metadata_source":"pith","pith_arxiv_id":"2505.22363","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Operator-Splitting Methods for Neuromorphic Circuit Simulation","venue":"eess.SY","work_id":"41ca934b-4c9c-479c-9850-d95e1f5bbb84","year":2025},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:19.894242Z"},"links":{"cited_paper":"/paper/2505.22363","citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:1592f1d0e72693bacb1e2105bb4bd0ba953d378cbe5267ef6b20d9471f25d929","observation_id":"728e80e2-2853-4333-81da-e2838aa4cf3d","resolution":{"observed_at":"2026-08-04T16:44:15.832702Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-04T16:41:19.997298Z","title":"Rockafellar, Network flows and monotropic optimization","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:19.997298Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:f5a12b7e6efd7a4feb2056a8c8f757a797edb915c03924e1a3fe5326b88112c1","observation_id":"89abd001-ec37-431a-81a9-b9eca88d9165","resolution":{"observed_at":"2026-08-04T16:41:19.997298Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:20.065228Z","title":"Solving linear and quadratic pro- grams with an analog circuit,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:20.065228Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:036159385ad4cb2362c615a3061faa99233dbffe1775592078d31164b754e99c","observation_id":"5501658b-392e-432b-9f47-ab81ff9591b3","resolution":{"observed_at":"2026-08-04T16:41:20.065228Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:20.236275Z","title":"Compilation Techniques for Reconfigurable Ana- log Devices,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:20.236275Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:f3e32bf8d265848896d41664cd18e7b3d86e5c27a88cb7d0a62b5025c23232da","observation_id":"73ba5401-3172-41f7-a35e-fe9af6b724dd","resolution":{"observed_at":"2026-08-04T16:41:20.236275Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:20.337062Z","title":"Opti- mization algorithm design via electric circuits,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:20.337062Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:3789137cc2fce15e26eef6aaa3c7d135932b11db729bf060462e394378f7b506","observation_id":"c2fdc441-5c50-4848-9921-621e0bfa8b0a","resolution":{"observed_at":"2026-08-04T16:41:20.337062Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:20.440665Z","title":"Analog Optimization Circuit for Embedded Model Predictive Control,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:20.440665Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:2d379a59d4f3d282bd0f24692c4897342d60d9716cd3e6928b90230eb1b1d1ea","observation_id":"b2477a4d-4630-469b-b1f3-4036921ce90c","resolution":{"observed_at":"2026-08-04T16:41:20.440665Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:20.546496Z","title":"Deep neural network structures solving variational inequalities,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:20.546496Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:214fd0cdaf1fd1b5d731aa31889f9cfcc9fc31facefe32122a5596ac5ba54b5a","observation_id":"34da1978-71e5-41bd-bc20-a32d0de93449","resolution":{"observed_at":"2026-08-04T16:41:20.546496Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:20.653676Z","title":"Goeleven, Complementarity and Variational Inequalities in Electronics","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:20.653676Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:4657141103ce8ead66b4d2d84a51efb217c8658ccc05254e866da34d4527b29c","observation_id":"83bda9f3-bfbb-4c0b-b297-43ec1b5629f5","resolution":{"observed_at":"2026-08-04T16:41:20.653676Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:20.718681Z","title":"Deep equilibrium mod- els,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:20.718681Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:417f0204a0f08af8af089447af2176f58e7057aff3ee5f33e7442d2e1e1e45c0","observation_id":"025d20e1-d803-4b64-81d8-f7765eac0a6c","resolution":{"observed_at":"2026-08-04T16:41:20.718681Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.01732","last_updated":"2020-10-05T01:00:40Z","snapshot_observed_at":"2026-07-06T10:01:23.472948Z","submitted_at":"2020-10-05T01:00:40Z","title":"Lipschitz Bounded Equilibrium Networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.01732","snapshot_observed_at":"2026-08-04T16:41:20.829500Z","title":"Revay, R","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:20.829500Z"},"links":{"cited_paper":"/paper/2010.01732","citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:70a46573777db3a6b839222dfd010c04cc835b9cbe6f7d5e52168d1a9e25095f","observation_id":"a0bbc859-b3e5-4cc4-88f7-aa79e2075367","resolution":{"observed_at":"2026-08-04T16:41:20.829500Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:20.939841Z","title":"Reciprocal Relations in Irreversible Processes, I & II,","venue":null,"work_id":null,"year":1931},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:20.939841Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:487886b57124fdf98448b6ab1b786caa447301e175b478b1d541bc1f30758138","observation_id":"1f466e19-9e13-4f1c-8713-00e1aa711e7e","resolution":{"observed_at":"2026-08-04T16:41:20.939841Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf00276494","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Dissipative dynamical systems Part II: Linear systems with quadratic supply rates,","venue":"Archive for Rational Mechanics and Analysis","work_id":"e4ce501c-c95b-4fcb-9090-e0e379ddc86b","year":1972},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.042306Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:c148deb7a8736a90b2f8c21c0e2e2d9302f374f1308fe1b1af6da65b89b7d099","observation_id":"8ea262c5-ae2d-4cd9-9ae5-942554b48f45","resolution":{"observed_at":"2026-08-04T16:44:15.778817Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.02062","last_updated":"2025-04-04T13:03:03Z","snapshot_observed_at":"2026-08-07T19:12:20.905529Z","submitted_at":"2025-04-02T18:49:10Z","title":"Symmetry in linear physical systems","version":2},"cited_work":{"arxiv_id":"2504.02062","doi":"10.48550/arxiv.2504.02062","metadata_source":"pith","pith_arxiv_id":"2504.02062","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Symmetry in linear physical systems","venue":"math.OC","work_id":"773ed1fd-5e89-4f72-b01f-374aea758665","year":2025},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.138428Z"},"links":{"cited_paper":"/paper/2504.02062","citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:42d280062a8929aff0a2ef0412de166966388a7eb36bc62090596151c13724b5","observation_id":"04389d9c-8a52-4f16-ac67-81ef52540755","resolution":{"observed_at":"2026-08-04T16:44:15.769291Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/s41467-025-61665-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Quantum equilibrium prop- agation for efficient training of quantum systems based on Onsager reciprocity,","venue":"Nature Communications","work_id":"a8ca8bf2-33ee-4119-b623-df6eb39a11dc","year":2025},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.259310Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:4b585be1c1b0c2c14d6929668b0aa8080852312609b14d9ba8009232412f3547","observation_id":"8295aec5-c52a-4817-9c6e-ea920b1363a9","resolution":{"observed_at":"2026-08-04T16:44:15.755792Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-04T16:41:21.284826Z","title":"Experimentally realized in situ backpropagation for deep learning in photonic neural networks,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.284826Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:95d28f66f7220a4c1e81d9b04a4ae989fe0fbd5626825aab87a7d36625b2affc","observation_id":"c21f57e0-51ad-4a9d-ac41-f9efc20fdbda","resolution":{"observed_at":"2026-08-04T16:41:21.284826Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:21.290087Z","title":"Training of photonic neural networks through in situ backpropagation and gradient measurement,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.290087Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:33c99646f19c79c1b3a35badd24d1ab7727c634473d944b9b856c9b6161d79b8","observation_id":"6e1c6267-d78b-4eb1-83bb-13e129de8064","resolution":{"observed_at":"2026-08-04T16:41:21.290087Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:21.298328Z","title":"Towards Design Optimization of Analog Compute Systems,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.298328Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:3b328a6e38f66610d656c8571298ad9526ba9e805f499326cd11d2430c6fd1de","observation_id":"e023d689-7917-41d3-819f-8ee988a472f3","resolution":{"observed_at":"2026-08-04T16:41:21.298328Z","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":"10.1016/j.ifacol.2017.08.2117","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Passivity and electric circuits: A behavioral approach,","venue":"IFAC-PapersOnLine","work_id":"c7a5336b-7682-4739-83da-2138ed32b183","year":2017},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.302333Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:45a9916597f6ce2c05440546fe6eece56c9e79111311f8ba8dc665da4e00fd3f","observation_id":"aa485580-95c8-4226-bc85-1d5cfcef8f7b","resolution":{"observed_at":"2026-08-04T16:44:15.733553Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-04T16:41:21.306520Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.306520Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:b15a417e6d70280fd6f5677c760cf5f74e85da3e6985bf3d9f3c39a3d565d31d","observation_id":"6762df43-dc76-4c77-9130-57c320d42339","resolution":{"observed_at":"2026-08-04T16:41:21.306520Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:21.310743Z","title":"Seshu and M","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.310743Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:ca6569d888181bf6c75209df4be6df4bf21ce0a101010d2a75949679c3177a8c","observation_id":"275130b0-8826-48e6-ac9d-c329ab39a40a","resolution":{"observed_at":"2026-08-04T16:41:21.310743Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:21.314824Z","title":"From time series to linear system—Part I. Finite dimensional linear time invariant systems,","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.314824Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:17eb9eac8cedf7e68cc3dfbd7984aeedd2c5efa251ba4170262a7cdbdfeabb94","observation_id":"3d0d2ec9-6307-4b93-ac44-d03eb03eb963","resolution":{"observed_at":"2026-08-04T16:41:21.314824Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:21.318642Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.318642Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:bc58285f259c2fd39fa31e698106afe98e44e634c92cc8d721a41d598ddece39","observation_id":"6d7bf93f-36a2-4b70-84cc-5b7004b53426","resolution":{"observed_at":"2026-08-04T16:41:21.318642Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:21.322762Z","title":"Learn- ing in memristive electrical circuits,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.322762Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:f2e2ffdb331bbae413903cb343442663aec21011ce5a2af65835812d32c7ba1e","observation_id":"efea3ceb-41f0-436e-9b75-4209eebc4aa7","resolution":{"observed_at":"2026-08-04T16:41:21.322762Z","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":"10.1142/11567","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":null,"work_id":"4049ff39-5f6a-46e1-8d8a-b8e74d9705f1","year":2019},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.326614Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:8c42557da2cef4a3658459768e748907fcafe08f08bb20911ca9767f70ee29a8","observation_id":"49c10ebe-6c1c-4051-b01c-5c21c19d00fd","resolution":{"observed_at":"2026-08-04T16:44:15.724129Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-04T16:41:21.330717Z","title":"On the synthesis of R networks,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.330717Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:0d98f21054c7a9c38dea2de1daade907a97e6fa4fa58dd0793c123fa2a5aa5e5","observation_id":"b5e5ba3c-efce-4a59-a9e2-50f460dbcf82","resolution":{"observed_at":"2026-08-04T16:41:21.330717Z","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":"10.1109/tct.1960","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:44:15.711304Z","title":"On the analysis and synthesis of single- element-kind networks,","venue":null,"work_id":"cc9fa270-4055-4862-b866-b0314e5481aa","year":1960},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.338902Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:cb8d8e2bd491392db7b8d3cf53f9872c35692a364f97422fc9874aa090ed94cc","observation_id":"d1810480-387b-4ad5-98cb-c0a2dd4d4c11","resolution":{"observed_at":"2026-08-04T16:44:15.714746Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-04T16:41:21.344234Z","title":"Sur les racines de l’ ´equation Xn = 0,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.344234Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:b2041f9bb642d774457c07f261a34d14f5139c3f42e74edd9cec54d0be47f663","observation_id":"19c8391e-3acf-4b7b-abe1-b90e9a7cb7e7","resolution":{"observed_at":"2026-08-04T16:41:21.344234Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:21.348245Z","title":"Young, Iterative Solution of Large Linear Systems","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.348245Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:d6000df3b101fa6ca27d19a6f386dcecac4e46eb19ea9721dae835a7bcb879c6","observation_id":"fc225120-556b-415d-ae82-1f6670be8bfd","resolution":{"observed_at":"2026-08-04T16:41:21.348245Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:21.351928Z","title":"Linear Convergence and Metric Selection for Douglas-Rachford Splitting and ADMM,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.351928Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:2dcd3afedd356cba7e615be19cbe077957d7d5af94eda96fe275a7b465712245","observation_id":"4267a8db-a15f-437d-9fc2-182933fa378d","resolution":{"observed_at":"2026-08-04T16:41:21.351928Z","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":"10.1016/j.aeue.2017.08.053","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Analog circuit optimization using adjoint network based sensitivity analysis,","venue":"AEU - International Journal of Electronics and Communications","work_id":"cddfe7e2-7943-4b74-b862-f3be71fb7bcd","year":2017},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.357086Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:6921322a88dc64e7fe862745c57a23e080b7ec29f0b46580320ddc2a4550a547","observation_id":"938f24d0-8f85-42b7-9cd0-24a29ba59cb1","resolution":{"observed_at":"2026-08-04T16:44:15.704938Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-04T16:41:21.366820Z","title":"Contrastive Hebbian Learning in the Continu- ous Hopfield Model,","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.366820Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:6163b58866e1d9dfaa8404a98db6f18d3f04d9800009ce6c16bd7466a2c66ae2","observation_id":"a24d5b6d-a13b-4bb3-b354-8406850ee77c","resolution":{"observed_at":"2026-08-04T16:41:21.366820Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:21.447716Z","title":"Multilayer feedforward networks with a nonpolynomial activation func- tion can approximate any function,","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.447716Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:aa3e4eb30954ed9f2fc4a6d4140f3b89b65d6532282d25fa0c9428450ca98392","observation_id":"c8edb7b5-8aad-4f13-bad0-36a115375f29","resolution":{"observed_at":"2026-08-04T16:41:21.447716Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:21.609623Z","title":"Error bounds for approximations with deep ReLU networks,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.609623Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:19e62eaf8a132bfc4beda820e2b962f707af8d7cd3567e8d20c175e36ae6f9b7","observation_id":"14e8f206-4b76-4e60-931f-b4bd360505a4","resolution":{"observed_at":"2026-08-04T16:41:21.609623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.06807","last_updated":"2015-11-21T01:11:29Z","snapshot_observed_at":"2026-07-06T04:37:18.887121Z","submitted_at":"2015-11-21T01:11:29Z","title":"Adding Gradient Noise Improves Learning for Very Deep Networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.06807","snapshot_observed_at":"2026-08-04T16:41:21.949824Z","title":"Neelakantan, L","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.949824Z"},"links":{"cited_paper":"/paper/1511.06807","citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:5e42fac3cf2527d25f4bb37376473176ba2c5380970494e0fd336fc990af3adf","observation_id":"572fec47-20b1-46c8-a304-77df5d678f70","resolution":{"observed_at":"2026-08-04T16:41:21.949824Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:22.025231Z","title":"Recurrent equi- librium networks: Flexible dynamic models with guaranteed stability and robustness,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:22.025231Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:e4f214196c2cc053acaf0507a7b24a85ca5165e782cdfee16034d945e88b3b5c","observation_id":"0973e4dc-2e73-492c-aaaf-ce97d48c5cf2","resolution":{"observed_at":"2026-08-04T16:41:22.025231Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:22.029161Z","title":"Unconstrained Parametrization of Dissipative and Contracting Neural Ordinary Differential Equations,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:22.029161Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:94115cf5fa01f8fc96b4afc1848edda389f586ffe0042a9b8646508e115f4213","observation_id":"ea4b4dab-2466-4b14-bac7-55521bc873e8","resolution":{"observed_at":"2026-08-04T16:41:22.029161Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:22.032881Z","title":"Non-Euclidean Monotone Operator Theory and Applica- tions,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:22.032881Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:bbc21677d13f78d2bcc88d3b8014d6aa391bdff126486c0045c27442d9919d87","observation_id":"6b091d9f-6ca2-44e6-bfd1-fb74e26c6117","resolution":{"observed_at":"2026-08-04T16:41:22.032881Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:21.334983Z","title":null,"venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":1961,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.334983Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:4d0dca05c0836ec0acb3ac44187ebf1895ee5d63438eef505fddcc3805465738","observation_id":"557c0c45-f48a-4d7f-aeb9-c41fbc8b8c6d","resolution":{"observed_at":"2026-08-04T16:41:21.334983Z","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":"10.1016/j.compchemeng.2014.01.011","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Computers & Chemical Engineering","work_id":"8855030e-5888-4ab4-999b-3952310090c3","year":2014},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:20.143921Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:5dbbfb25a53f77a4f87db8d5381a8e6b714c2aab185f9a614bfde6cad98de4b3","observation_id":"f432d0b3-96c1-4aed-b75d-15c8ea6b1986","resolution":{"observed_at":"2026-08-04T16:44:15.820431Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-04T16:41:21.783737Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.783737Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:b7026984e24ad32d0f2b58a73edc69296950a029dbfd67a3212100d6a7d17a50","observation_id":"4e81a8ff-82e4-4b2c-9eef-33f6aa7f27f0","resolution":{"observed_at":"2026-08-04T16:41:21.783737Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:41:21.294029Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks","version":2},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-04T16:41:21.294029Z"},"links":{"citing_paper":"/paper/2509.13793"},"observation_digest":"sha256:cdd9c3a8d3fbcc3bf3d118a3d235b71d1fedff8da1ad3b8f1538c21ed85ca5c4","observation_id":"e4b96ebe-d593-48ea-873b-35ffc616c4ec","resolution":{"observed_at":"2026-08-04T16:41:21.294029Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.13793","last_updated":"2026-06-20T08:54:53Z","latest_version":2,"primary_category":"eess.SY","snapshot_observed_at":"2026-08-07T05:38:28.804485Z","submitted_at":"2025-09-17T08:03:15Z","title":"Circuit realization and hardware linearization of monotone operator equilibrium networks"},"reference_resolution":{"displayed":65,"state_counts":{"malformed_identifier":4,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":48,"verified_exact":13,"verified_fuzzy":0},"total_outbound_references":65},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 0 inbound Pith citation observations for arXiv:2509.13793."}