{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:J7ESYAH23DQLATWSZBHJVR23TE","short_pith_number":"pith:J7ESYAH2","canonical_record":{"source":{"id":"2507.12339","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-16T15:34:49Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"6f98b8f81be890af9be6f877598b5fd320364598173332add5a0b406fd11e6dc","abstract_canon_sha256":"65360fed91e20175bc299605ed22125ea04b9808bf98b79f213818ec118aff5e"},"schema_version":"1.0"},"canonical_sha256":"4fc92c00fad8e0b04ed2c84e9ac75b992e85737af133aee4f4dc0b72239bcb31","source":{"kind":"arxiv","id":"2507.12339","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.12339","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"arxiv_version","alias_value":"2507.12339v1","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.12339","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"pith_short_12","alias_value":"J7ESYAH23DQL","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"pith_short_16","alias_value":"J7ESYAH23DQLATWS","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"pith_short_8","alias_value":"J7ESYAH2","created_at":"2026-07-05T11:38:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:J7ESYAH23DQLATWSZBHJVR23TE","target":"record","payload":{"canonical_record":{"source":{"id":"2507.12339","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-16T15:34:49Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"6f98b8f81be890af9be6f877598b5fd320364598173332add5a0b406fd11e6dc","abstract_canon_sha256":"65360fed91e20175bc299605ed22125ea04b9808bf98b79f213818ec118aff5e"},"schema_version":"1.0"},"canonical_sha256":"4fc92c00fad8e0b04ed2c84e9ac75b992e85737af133aee4f4dc0b72239bcb31","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:38:18.577502Z","signature_b64":"f9Hk+NeA8Mz9Sf54Xz9Nwd1ISHxwUsjATf13TxZqwtuy6ECDgkhARwk67sHe6FxwhGPTHXBYI8KggTdmobqtCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fc92c00fad8e0b04ed2c84e9ac75b992e85737af133aee4f4dc0b72239bcb31","last_reissued_at":"2026-07-05T11:38:18.577048Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:38:18.577048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.12339","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":"2026-07-05T11:38:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AC4F913HwgRxwkBKxWjecXbZ1h3TmWewNOTTu1YLe6ZsbeA/zeaYpkXqU9YF5H6qm1tbvf0/kp3nORx9Y3twBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T18:14:17.548668Z"},"content_sha256":"383c6dbecf3d5976174f792f18161e24d4b2d4e386e65288c61de7cdb1a45994","schema_version":"1.0","event_id":"sha256:383c6dbecf3d5976174f792f18161e24d4b2d4e386e65288c61de7cdb1a45994"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:J7ESYAH23DQLATWSZBHJVR23TE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symbolic Control: Unveiling Free Robustness Margins","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Adnane Saoud, Antoine Girard, Youssef Ait Si","submitted_at":"2025-07-16T15:34:49Z","abstract_excerpt":"This paper addresses the challenge of ensuring robustness in the presence of system perturbations for symbolic control techniques. Given a discrete-time control system that is related to its symbolic model by an alternating simulation relation. In this paper, we focus on computing the maximum robustness margin under which the symbolic model remains valid for a perturbed-version of the discrete-time control system. We first show that symbolic models are inherently equipped with a certain free robustness margins. We then provide constructive procedures to compute uniform and non-uniform (state a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.12339","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/2507.12339/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":"2026-07-05T11:38:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"brCVY/08uvvYAxbo20WBa66DysudHd9jiQD9Ys2CuajNE6RaBtlX79lCy/vw4fD70dNxpClLGP8OdJGifxfjAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T18:14:17.549038Z"},"content_sha256":"7043b1ea365a576cb081fae562feac85c56a28d3404f79a9e6794bf16bab9db9","schema_version":"1.0","event_id":"sha256:7043b1ea365a576cb081fae562feac85c56a28d3404f79a9e6794bf16bab9db9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J7ESYAH23DQLATWSZBHJVR23TE/bundle.json","state_url":"https://pith.science/pith/J7ESYAH23DQLATWSZBHJVR23TE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J7ESYAH23DQLATWSZBHJVR23TE/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":"2026-07-06T18:14:17Z","links":{"resolver":"https://pith.science/pith/J7ESYAH23DQLATWSZBHJVR23TE","bundle":"https://pith.science/pith/J7ESYAH23DQLATWSZBHJVR23TE/bundle.json","state":"https://pith.science/pith/J7ESYAH23DQLATWSZBHJVR23TE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J7ESYAH23DQLATWSZBHJVR23TE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:J7ESYAH23DQLATWSZBHJVR23TE","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":"65360fed91e20175bc299605ed22125ea04b9808bf98b79f213818ec118aff5e","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-16T15:34:49Z","title_canon_sha256":"6f98b8f81be890af9be6f877598b5fd320364598173332add5a0b406fd11e6dc"},"schema_version":"1.0","source":{"id":"2507.12339","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.12339","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"arxiv_version","alias_value":"2507.12339v1","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.12339","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"pith_short_12","alias_value":"J7ESYAH23DQL","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"pith_short_16","alias_value":"J7ESYAH23DQLATWS","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"pith_short_8","alias_value":"J7ESYAH2","created_at":"2026-07-05T11:38:18Z"}],"graph_snapshots":[{"event_id":"sha256:7043b1ea365a576cb081fae562feac85c56a28d3404f79a9e6794bf16bab9db9","target":"graph","created_at":"2026-07-05T11:38:18Z","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/2507.12339/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper addresses the challenge of ensuring robustness in the presence of system perturbations for symbolic control techniques. Given a discrete-time control system that is related to its symbolic model by an alternating simulation relation. In this paper, we focus on computing the maximum robustness margin under which the symbolic model remains valid for a perturbed-version of the discrete-time control system. We first show that symbolic models are inherently equipped with a certain free robustness margins. We then provide constructive procedures to compute uniform and non-uniform (state a","authors_text":"Adnane Saoud, Antoine Girard, Youssef Ait Si","cross_cats":["cs.SY"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-16T15:34:49Z","title":"Symbolic Control: Unveiling Free Robustness Margins"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.12339","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":"sha256:383c6dbecf3d5976174f792f18161e24d4b2d4e386e65288c61de7cdb1a45994","target":"record","created_at":"2026-07-05T11:38:18Z","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":"65360fed91e20175bc299605ed22125ea04b9808bf98b79f213818ec118aff5e","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-16T15:34:49Z","title_canon_sha256":"6f98b8f81be890af9be6f877598b5fd320364598173332add5a0b406fd11e6dc"},"schema_version":"1.0","source":{"id":"2507.12339","kind":"arxiv","version":1}},"canonical_sha256":"4fc92c00fad8e0b04ed2c84e9ac75b992e85737af133aee4f4dc0b72239bcb31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fc92c00fad8e0b04ed2c84e9ac75b992e85737af133aee4f4dc0b72239bcb31","first_computed_at":"2026-07-05T11:38:18.577048Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:38:18.577048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f9Hk+NeA8Mz9Sf54Xz9Nwd1ISHxwUsjATf13TxZqwtuy6ECDgkhARwk67sHe6FxwhGPTHXBYI8KggTdmobqtCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:38:18.577502Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.12339","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:383c6dbecf3d5976174f792f18161e24d4b2d4e386e65288c61de7cdb1a45994","sha256:7043b1ea365a576cb081fae562feac85c56a28d3404f79a9e6794bf16bab9db9"],"state_sha256":"d9e8b3f669818947a27f268ba6c47bec6dc7aac783a770eeb0c7fe627fb09e48"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dv+3uDDifD5M/YcWmF8bDIcF9MV7usqTX69GDGffBx8fvbULFoOb3WMkoaQ5h1rJ6OHwqANF2wAx9i3z0z7CAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T18:14:17.551126Z","bundle_sha256":"ac3af09d9c513661c35dcef587a8ea6169c15d391ed445e5c6914e11e32c3122"}}