{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:TOYSPGZLJERX7GH4QDM5BQARBJ","short_pith_number":"pith:TOYSPGZL","canonical_record":{"source":{"id":"2505.24106","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-05-30T01:13:46Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"35d381df69ec73ca9f2437aa8e644b784940926285412d649dc6b23ad200fc96","abstract_canon_sha256":"b2f23c3389b368eecae4853835cf2e9504b714684e473f1199ec85a13a676042"},"schema_version":"1.0"},"canonical_sha256":"9bb1279b2b49237f98fc80d9d0c0110a7178ea367a7baa40a46e4ba63efd8613","source":{"kind":"arxiv","id":"2505.24106","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.24106","created_at":"2026-07-05T11:12:41Z"},{"alias_kind":"arxiv_version","alias_value":"2505.24106v1","created_at":"2026-07-05T11:12:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.24106","created_at":"2026-07-05T11:12:41Z"},{"alias_kind":"pith_short_12","alias_value":"TOYSPGZLJERX","created_at":"2026-07-05T11:12:41Z"},{"alias_kind":"pith_short_16","alias_value":"TOYSPGZLJERX7GH4","created_at":"2026-07-05T11:12:41Z"},{"alias_kind":"pith_short_8","alias_value":"TOYSPGZL","created_at":"2026-07-05T11:12:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:TOYSPGZLJERX7GH4QDM5BQARBJ","target":"record","payload":{"canonical_record":{"source":{"id":"2505.24106","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-05-30T01:13:46Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"35d381df69ec73ca9f2437aa8e644b784940926285412d649dc6b23ad200fc96","abstract_canon_sha256":"b2f23c3389b368eecae4853835cf2e9504b714684e473f1199ec85a13a676042"},"schema_version":"1.0"},"canonical_sha256":"9bb1279b2b49237f98fc80d9d0c0110a7178ea367a7baa40a46e4ba63efd8613","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:12:41.975879Z","signature_b64":"oxTxBqZ3zWJ6y49zylhhrqfskJEPzMrVsf76owC0OGXGOIajuldzkzX/tixAqrr7MUF+DVURfx99KYgMIgrQAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bb1279b2b49237f98fc80d9d0c0110a7178ea367a7baa40a46e4ba63efd8613","last_reissued_at":"2026-07-05T11:12:41.975367Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:12:41.975367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.24106","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:12:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G5c9zuAHvcZ+OMICvVlSt+RBgp9ONE61WKsPyuulJnDzy7hRaRVBvjrbHfVSHhYB24SLWUEOUTxl+WlMoygNCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T11:50:12.742542Z"},"content_sha256":"b9cd89dd9acca671f855998ea47364738c87e694b732c5618c374cf025c4a4c3","schema_version":"1.0","event_id":"sha256:b9cd89dd9acca671f855998ea47364738c87e694b732c5618c374cf025c4a4c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:TOYSPGZLJERX7GH4QDM5BQARBJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Controller Design for Bilinear Neural Feedback Loops","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Dhruv Shah, Jorge Cort\\'es","submitted_at":"2025-05-30T01:13:46Z","abstract_excerpt":"This paper considers a class of bilinear systems with a neural network in the loop. These arise naturally when employing machine learning techniques to approximate general, non-affine in the input, control systems. We propose a controller design framework that combines linear fractional representations and tools from linear parameter varying control to guarantee local exponential stability of a desired equilibrium. The controller is obtained from the solution of linear matrix inequalities, which can be solved offline, making the approach suitable for online applications. The proposed methodolo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.24106","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.24106/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:12:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oSzTcIe7tYa6iffIl6Vyv5rpU/C025eZvie/KGjMtFdiyE8vTboxO/EeRSqDpOr3LkTy3M+guUd6sPWwyaO2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T11:50:12.743451Z"},"content_sha256":"902e5b0aa2fb0dd981b85850811c642befad48eeb6535d05c508865268020cd0","schema_version":"1.0","event_id":"sha256:902e5b0aa2fb0dd981b85850811c642befad48eeb6535d05c508865268020cd0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TOYSPGZLJERX7GH4QDM5BQARBJ/bundle.json","state_url":"https://pith.science/pith/TOYSPGZLJERX7GH4QDM5BQARBJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TOYSPGZLJERX7GH4QDM5BQARBJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-08T11:50:12Z","links":{"resolver":"https://pith.science/pith/TOYSPGZLJERX7GH4QDM5BQARBJ","bundle":"https://pith.science/pith/TOYSPGZLJERX7GH4QDM5BQARBJ/bundle.json","state":"https://pith.science/pith/TOYSPGZLJERX7GH4QDM5BQARBJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TOYSPGZLJERX7GH4QDM5BQARBJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TOYSPGZLJERX7GH4QDM5BQARBJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b2f23c3389b368eecae4853835cf2e9504b714684e473f1199ec85a13a676042","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-05-30T01:13:46Z","title_canon_sha256":"35d381df69ec73ca9f2437aa8e644b784940926285412d649dc6b23ad200fc96"},"schema_version":"1.0","source":{"id":"2505.24106","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.24106","created_at":"2026-07-05T11:12:41Z"},{"alias_kind":"arxiv_version","alias_value":"2505.24106v1","created_at":"2026-07-05T11:12:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.24106","created_at":"2026-07-05T11:12:41Z"},{"alias_kind":"pith_short_12","alias_value":"TOYSPGZLJERX","created_at":"2026-07-05T11:12:41Z"},{"alias_kind":"pith_short_16","alias_value":"TOYSPGZLJERX7GH4","created_at":"2026-07-05T11:12:41Z"},{"alias_kind":"pith_short_8","alias_value":"TOYSPGZL","created_at":"2026-07-05T11:12:41Z"}],"graph_snapshots":[{"event_id":"sha256:902e5b0aa2fb0dd981b85850811c642befad48eeb6535d05c508865268020cd0","target":"graph","created_at":"2026-07-05T11:12:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.24106/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper considers a class of bilinear systems with a neural network in the loop. These arise naturally when employing machine learning techniques to approximate general, non-affine in the input, control systems. We propose a controller design framework that combines linear fractional representations and tools from linear parameter varying control to guarantee local exponential stability of a desired equilibrium. The controller is obtained from the solution of linear matrix inequalities, which can be solved offline, making the approach suitable for online applications. The proposed methodolo","authors_text":"Dhruv Shah, Jorge Cort\\'es","cross_cats":["cs.SY"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-05-30T01:13:46Z","title":"Controller Design for Bilinear Neural Feedback Loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.24106","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b9cd89dd9acca671f855998ea47364738c87e694b732c5618c374cf025c4a4c3","target":"record","created_at":"2026-07-05T11:12:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b2f23c3389b368eecae4853835cf2e9504b714684e473f1199ec85a13a676042","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-05-30T01:13:46Z","title_canon_sha256":"35d381df69ec73ca9f2437aa8e644b784940926285412d649dc6b23ad200fc96"},"schema_version":"1.0","source":{"id":"2505.24106","kind":"arxiv","version":1}},"canonical_sha256":"9bb1279b2b49237f98fc80d9d0c0110a7178ea367a7baa40a46e4ba63efd8613","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bb1279b2b49237f98fc80d9d0c0110a7178ea367a7baa40a46e4ba63efd8613","first_computed_at":"2026-07-05T11:12:41.975367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:12:41.975367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oxTxBqZ3zWJ6y49zylhhrqfskJEPzMrVsf76owC0OGXGOIajuldzkzX/tixAqrr7MUF+DVURfx99KYgMIgrQAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:12:41.975879Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.24106","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9cd89dd9acca671f855998ea47364738c87e694b732c5618c374cf025c4a4c3","sha256:902e5b0aa2fb0dd981b85850811c642befad48eeb6535d05c508865268020cd0"],"state_sha256":"386e6a88734135074047b19c8a72e51619954dfac7320ea73054acd882349992"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JEWLjGUn5+P+CARn84eClEBJKbUqyqxo1KjwIl+IGzfTApZy/2535kn1KloLlk9TYRkqU7/OSX4mAMnn3ZQODg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T11:50:12.748868Z","bundle_sha256":"348e46770514c60869bc7e2de33eab04b9e196066a5c48f96132f42997d63b2a"}}