{"as_of":"2026-08-22T15:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:302afc11ce7a796a2dc5749fb5538e011ba175bf38b8b089d3cc95d93126458f","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":"2026-08-22T06:32:14.747728+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":"2026-08-20T04:28:59.837811Z","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":"sha256:574c55834ba5fe45a606a704babc2009d5866877e82d1e5ff08b5c16085dd4f8","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":"2026-08-20T04:28:59.837811Z","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:f1412a6496a9ccec7051b36c1d7ed229777c396e0292ca7221a46cdca32536de","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":"2026-08-20T04:28:59.837811Z","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":"sha256:58713a72abf0f6516b0f46e67d120cd3018c0c22ee936327157e760c201ae014","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":"2026-08-20T04:28:59.837811Z","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:c28dc1cc87e8115fb58ca9f1cdee773394e9130fcbe051c984644f708bdae3c1","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":"2026-08-20T04:28:59.837811Z","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":"sha256:4a608609e919f184351bd7b98754a545fdd6ecc62303599972f6f942134b292a","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-20T04:28:59.837811Z","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:a662c70a6b36f22cdf64e00ed90a2702d962bc97cc8977f4f11457b9c6e1bb6b","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":"2026-08-20T04:28:59.837811Z","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":"sha256:61764d1dd01097727c4033c0e12273e00e541e4c0f1ef590f6dda34723adc813","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":"2026-08-20T04:28:59.837811Z","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:d0383e0ee279a8da9164b2608c329150299c4ac6b5eeea806b48c6fff7733e5e","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":"2026-08-20T04:28:59.837811Z","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:de964364830ad83f02c4f93ff0f25ffd3959f0131792efba0e5f923f32c21d9d","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":"2026-08-20T04:28:59.837811Z","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":"sha256:80cb09db7de2cb0a1a2d112b9fb8a2693b20a7637420ecb7174b8afd68b9a496","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":"2026-08-20T04:28:59.837811Z","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:cd4e2c98389f6787a1f90f3e7f3c86157d1bbda0fbec48a194be37fe71e43858","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":"2026-08-20T04:28:59.837811Z","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":"sha256:5deea244cafc0ffcdcb2af540a420b776c8e451c6a4e94cbdff021a4f2e498a6","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.01981","last_updated":"2020-06-09T22:26:05Z","snapshot_observed_at":"2026-08-21T13:10:14.461352Z","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":"2026-08-20T04:28:59.837811Z","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":"sha256:0f0a749adc3ad242f16d0be49b3d92ebf36a520f3087e2fd4f11c1816a32c19c","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":"2026-08-20T04:28:59.837811Z","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":"sha256:3d93b851826dfe07637be5b92f7708015b5cc1fb862129619245e474020f98a8","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":"2026-08-20T04:28:59.837811Z","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":"sha256:0d440cf18477cfac365b7355674cab8e4155a7f8c531ab770c7010a89a632abf","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-20T04:28:59.837811Z","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":"sha256:781515e8064c16823f63f3fbb713ab5795da27bf3bd6469ec506c40cde19749b","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":"2026-08-20T04:28:59.837811Z","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":"sha256:0b3d7765e263fbd3bdcde05333c093854958175d2faa639de3e494ac6f9da3a6","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":"2026-08-20T04:28:59.837811Z","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":"sha256:8c70a390931b3cf394b024e3a9bf9bfd114917b9045c11e2737877f196d8662f","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-20T04:28:59.837811Z","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":"sha256:7cd9ade46639e7e2ea0ea31da05f29f158f8790003a7eed6b07887e1137f1440","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":"2026-08-20T04:28:59.837811Z","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":"sha256:7144622a1ea85176c96d485f732d7f6cba08d9412b89064ba4282c184bbe220a","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":"2026-08-16T14:17:34.146802Z","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":"2026-08-20T04:28:59.837811Z","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:f19db510ee5a2bf6b403934f3c4f85851293c9558068cd2c7d72e184b899938d","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":"2026-08-20T04:28:59.837811Z","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:d06cc298ccd782df96a8f845af01775eda3eeea0714a5822ce5bc99f300a3b53","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-20T04:28:59.837811Z","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":"sha256:0400b8ee3a549c329e27bc9079bb7546dcf105d2a1c1e0d9f7ffff7afaec734c","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":"2026-08-20T04:28:59.837811Z","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":"sha256:7093b2f18d571fbe082310929669d0143c5d3c689605279a2a781fff9282b086","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":"2026-08-17T19:43:57.642027Z","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":"2026-08-20T04:28:59.837811Z","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:b41e26e728fc31b8fa4e928c27370a9dd489618eec12e12dea499eb335c270e9","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-20T04:28:59.837811Z","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":"sha256:08c22fcfbd78dd3bf0943e3bbdb2243c60ee13b5ea3e9d2afa15c0a82b338400","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":"2026-08-20T04:28:59.837811Z","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:f23901c9b729337c57d819527118a7db3777327ee648029776e91c048da84f4e","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":"2026-08-20T04:28:59.837811Z","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:efbd464e387f7f96fb7eb9776f962f4552890e607a8bc9895a898eb12cfac187","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":"2026-08-20T04:28:59.837811Z","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":"sha256:71e3f32aacc23e186fd9783d3b0a80028990f449ace9395af1924067bd0fa95a","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":"2026-08-20T04:28:59.837811Z","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":"sha256:1cdf919e779fb60cfbbc7ebcadd07677da7667a27dacc9b2794a60d74cd01bf0","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":"2026-08-20T04:28:59.837811Z","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":"sha256:071d2e483413f1f08f69e8c751f9ccf89489cba5fecabedbb0bcd98f8004fefe","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":"2026-08-20T04:28:59.837811Z","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":"sha256:87d89a768f62380c8448f792069c56cd6a3569687ab2b33a34186f5474cef948","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":"2026-08-20T04:28:59.837811Z","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":"sha256:2156816eb8b381e31134a336cff2b7eb51fe7e5f01b9e8d01dd2571b3f85da93","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":"2026-08-16T19:15:57.425607Z","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":"2026-08-20T04:28:59.837811Z","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:ea91fde14e93be8c84cf130d939b3129567f9945d784c6e484f1719ffcca1ed7","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":"2026-08-20T04:28:59.837811Z","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":"sha256:658a3e361e60bbfb242f892ccd6989dd7f2ddc3451f21bd5c7455279ecee82b7","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":"2026-08-20T04:28:59.837811Z","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:d5f223a0928e9d40d222f75902a0d96cb5c1591c8e630b9ab45d10d41b3fded6","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.02062","last_updated":"2025-04-04T13:03:03Z","snapshot_observed_at":"2026-08-21T11:40:31.037896Z","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":"2026-08-20T04:28:59.837811Z","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":"sha256:0c2c22392b825acd39f3159c32b4031b92d5478f5e65789897bd34849fd90603","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-20T04:28:59.837811Z","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":"sha256:43167f0079446797bd3a55bc4f0b861d28271bdd787110d88cad806bb18f4265","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-20T04:28:59.837811Z","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:b57dd586ace1c785447791b29636ca04da3bfcf0f818343d3bff735bfcb1d02c","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":"2026-08-20T04:28:59.837811Z","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:c310066aa2cec2303f5116f694c32a906fde59d1e06a999821fb04ebad4402e9","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":"2026-08-20T04:28:59.837811Z","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:d3471cdd665349775ca8b36da15e4bdc6b0f098082d4f5bd6c90f2b587ee32aa","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":"2026-08-20T04:28:59.837811Z","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:b2bbc10050a1d84385572ff3f258a0d3c4c5d29eb66e58a468014c200d9e73f4","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-20T04:28:59.837811Z","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":"sha256:557038fb9a933c62943fd4cbbca98efccb54a2d2378aaf263da91bb963468bb5","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":"2026-08-20T04:28:59.837811Z","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":"sha256:0a827591629a862365eae4fcb70b25adca6a38176272288a276bbbf9d81fb160","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":"2026-08-20T04:28:59.837811Z","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:d7ac038fc3383051f96d8bb33f5962ee050c914e22b35c252a55288077dd8527","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":"2026-08-20T04:28:59.837811Z","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:ef32d5f7db6531831e2754f79ef8bb3ce69353ae02edec52b6886ceabe7243a3","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":"2026-08-20T04:28:59.837811Z","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":"sha256:48157b7b71d29057a0ab143b07e274608d9536840f137038f80482aba84ee3fe","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":"2026-08-20T04:28:59.837811Z","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:b61249910757b063081107e247235527b735e621a1bc5258d909fb02bed2ba37","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-20T04:28:59.837811Z","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:e4ba295ec6f1da830464d50d06d3cd465d5cbd1a34edd7d26db570399e836b6f","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":"2026-08-20T04:28:59.837811Z","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":"sha256:22816667aee912d0057e4743ec23b97632a78b4d27295c03d3f29eea46a36733","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-20T04:28:59.837811Z","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":"sha256:33a181372c9fcae1b6e9f80594440c5e8cf9522d793e2e9ab71b4afb8062de5b","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":"2026-08-20T04:28:59.837811Z","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:b6efa5e970365fbb3c467a759b433260017b6080ed89332041c7a6b72a8c8000","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":"2026-08-20T04:28:59.837811Z","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:d1efa82137098c954a2815541ccb244344eef1c0792c4d98781d6049ccc1805b","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":"2026-08-20T04:28:59.837811Z","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":"sha256:361b566476251b4162b10c2ec68686a0978280a395a843aabafc4706653da1cf","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-20T04:28:59.837811Z","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":"sha256:35f3ac060f06a87e5c21ca0b5591e76e4be5c32cf409e30d66398bcb138a6a5b","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":"2026-08-20T04:28:59.837811Z","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:cde0ffda618acdfa252cb76f8d9e9b97df490a6b7d10476247fd932029d3a804","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":"2026-08-20T04:28:59.837811Z","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:b010e04c3fa09ca10ce3ee3e081b70eb8cc59918ac3d1dfdda9eabebd2963460","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":"2026-08-20T07:39:13.176516Z","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":"2026-08-20T04:28:59.837811Z","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:b734805201bc09757040013cc5455db91591b706ffd64fed846878356ad942ef","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":"2026-08-20T04:28:59.837811Z","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":"sha256:47c9b9724e9348c6a0aa376f894261871cd6674ee978a64390ea1f3b666f284e","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":"2026-08-20T04:28:59.837811Z","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:ad6bb115c6b2668f5bbff9379f70adc60f5a6926ef0e3bf7a774af82aee15929","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":"2026-08-20T04:28:59.837811Z","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":"sha256:71a784bbefb28c5d269d9607b31c60e643108dcfe67eacb12b13c985b873caf9","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":"2026-08-20T04:28:59.837811Z","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":"sha256:26c804baa67d057bb63a589f29731ac8cfa9a309c34d6d9458b632a5aaefc718","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":"2026-08-20T04:28:59.837811Z","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:f6ee22266cd107bb0f9f6fdd56b9180ae81b82c74dfdec2cc1bfd912e547b63b","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 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-20T04:28:59.837811Z","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:ebb24183c0677cc3bb6059499d7dc756bf3dc906b3ae0da8dfe9d1185802bab6","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":"2026-08-20T04:28:59.837811Z","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:f6281dba6748e73988649f076f2479afce9d4339783519e91194904a4e6b8568","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":"2026-08-20T04:28:59.837811Z","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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 0 inbound Pith citation observations for arXiv:2509.13793."}