{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:UZOFKKQ3WMBXZ75R56QZUNXP65","short_pith_number":"pith:UZOFKKQ3","canonical_record":{"source":{"id":"2403.11816","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2024-03-18T14:17:54Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"cb2c0ef8f6edcb60f9f4560ec08563da143acc42eb9034ee750f12b10c5fbcb4","abstract_canon_sha256":"3194b7f40aeadcecc7c6fdec8ab6738e4fa7873172ff7504be4f60bdf7432734"},"schema_version":"1.0"},"canonical_sha256":"a65c552a1bb3037cffb1efa19a36eff74fcfbd6b06ac5b01f2d6b9a57b7873da","source":{"kind":"arxiv","id":"2403.11816","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.11816","created_at":"2026-07-05T10:21:58Z"},{"alias_kind":"arxiv_version","alias_value":"2403.11816v2","created_at":"2026-07-05T10:21:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.11816","created_at":"2026-07-05T10:21:58Z"},{"alias_kind":"pith_short_12","alias_value":"UZOFKKQ3WMBX","created_at":"2026-07-05T10:21:58Z"},{"alias_kind":"pith_short_16","alias_value":"UZOFKKQ3WMBXZ75R","created_at":"2026-07-05T10:21:58Z"},{"alias_kind":"pith_short_8","alias_value":"UZOFKKQ3","created_at":"2026-07-05T10:21:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:UZOFKKQ3WMBXZ75R56QZUNXP65","target":"record","payload":{"canonical_record":{"source":{"id":"2403.11816","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2024-03-18T14:17:54Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"cb2c0ef8f6edcb60f9f4560ec08563da143acc42eb9034ee750f12b10c5fbcb4","abstract_canon_sha256":"3194b7f40aeadcecc7c6fdec8ab6738e4fa7873172ff7504be4f60bdf7432734"},"schema_version":"1.0"},"canonical_sha256":"a65c552a1bb3037cffb1efa19a36eff74fcfbd6b06ac5b01f2d6b9a57b7873da","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:21:58.296468Z","signature_b64":"2zZFZ2ie1jX8wqIiY39IJ1JzCBLgbhVM2pWBWLLFRlJTDrvU8Q3EdZ+GoJXjmnH1jGfIPuqicv4yPgcTD2rHAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a65c552a1bb3037cffb1efa19a36eff74fcfbd6b06ac5b01f2d6b9a57b7873da","last_reissued_at":"2026-07-05T10:21:58.295881Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:21:58.295881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.11816","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:21:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oGKx2yrYrY09zH3v9NsMHAQWEvhykdtocGmpzZh/GtRs1q1ZGoAYpCDrBE4bLb4ZB4TTm2N6KphneyHUU27sDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:05:38.463629Z"},"content_sha256":"be2055f96222e6c31ee46d58ee30d9ebff131ce7acce8dd26757ca1b09abb73a","schema_version":"1.0","event_id":"sha256:be2055f96222e6c31ee46d58ee30d9ebff131ce7acce8dd26757ca1b09abb73a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:UZOFKKQ3WMBXZ75R56QZUNXP65","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry-based Abstraction Algorithm for Accelerating Symbolic Control Synthesis","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Hussein Sibai, Murat Arcak, Sacha Huriot, Tyler Martin","submitted_at":"2024-03-18T14:17:54Z","abstract_excerpt":"We propose an efficient symbolic control synthesis algorithm for equivariant continuous-time dynamical systems to satisfy reach-avoid specifications. The algorithm exploits dynamical symmetries to construct lean abstractions to avoid redundant computations during synthesis. Our proposed algorithm adds another layer of abstraction over the common grid-based discrete abstraction before solving the synthesis problem. It combines each set of grid cells that are at a similar relative position from the targets and nearby obstacles, defined by the symmetries, into a single abstract state. It uses thi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.11816","kind":"arxiv","version":2},"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/2403.11816/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":"2026-07-05T10:21:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nf7jNAMI6eYGFzfLjscBpuLTHi6zew5dMzsjBt8hJoHUrSATkpWyEJuEChecQRk47ys0OQwc8pxKE2Mvcy2yDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:05:38.464140Z"},"content_sha256":"65702946f0056e3c81c5f5e98a11938dfab5161015bf9e871b43aa8b99844706","schema_version":"1.0","event_id":"sha256:65702946f0056e3c81c5f5e98a11938dfab5161015bf9e871b43aa8b99844706"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UZOFKKQ3WMBXZ75R56QZUNXP65/bundle.json","state_url":"https://pith.science/pith/UZOFKKQ3WMBXZ75R56QZUNXP65/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UZOFKKQ3WMBXZ75R56QZUNXP65/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":"2026-08-11T00:05:38Z","links":{"resolver":"https://pith.science/pith/UZOFKKQ3WMBXZ75R56QZUNXP65","bundle":"https://pith.science/pith/UZOFKKQ3WMBXZ75R56QZUNXP65/bundle.json","state":"https://pith.science/pith/UZOFKKQ3WMBXZ75R56QZUNXP65/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UZOFKKQ3WMBXZ75R56QZUNXP65/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:UZOFKKQ3WMBXZ75R56QZUNXP65","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":"3194b7f40aeadcecc7c6fdec8ab6738e4fa7873172ff7504be4f60bdf7432734","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2024-03-18T14:17:54Z","title_canon_sha256":"cb2c0ef8f6edcb60f9f4560ec08563da143acc42eb9034ee750f12b10c5fbcb4"},"schema_version":"1.0","source":{"id":"2403.11816","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.11816","created_at":"2026-07-05T10:21:58Z"},{"alias_kind":"arxiv_version","alias_value":"2403.11816v2","created_at":"2026-07-05T10:21:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.11816","created_at":"2026-07-05T10:21:58Z"},{"alias_kind":"pith_short_12","alias_value":"UZOFKKQ3WMBX","created_at":"2026-07-05T10:21:58Z"},{"alias_kind":"pith_short_16","alias_value":"UZOFKKQ3WMBXZ75R","created_at":"2026-07-05T10:21:58Z"},{"alias_kind":"pith_short_8","alias_value":"UZOFKKQ3","created_at":"2026-07-05T10:21:58Z"}],"graph_snapshots":[{"event_id":"sha256:65702946f0056e3c81c5f5e98a11938dfab5161015bf9e871b43aa8b99844706","target":"graph","created_at":"2026-07-05T10:21:58Z","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/2403.11816/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose an efficient symbolic control synthesis algorithm for equivariant continuous-time dynamical systems to satisfy reach-avoid specifications. The algorithm exploits dynamical symmetries to construct lean abstractions to avoid redundant computations during synthesis. Our proposed algorithm adds another layer of abstraction over the common grid-based discrete abstraction before solving the synthesis problem. It combines each set of grid cells that are at a similar relative position from the targets and nearby obstacles, defined by the symmetries, into a single abstract state. It uses thi","authors_text":"Hussein Sibai, Murat Arcak, Sacha Huriot, Tyler Martin","cross_cats":["cs.SY"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2024-03-18T14:17:54Z","title":"Symmetry-based Abstraction Algorithm for Accelerating Symbolic Control Synthesis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.11816","kind":"arxiv","version":2},"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:be2055f96222e6c31ee46d58ee30d9ebff131ce7acce8dd26757ca1b09abb73a","target":"record","created_at":"2026-07-05T10:21:58Z","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":"3194b7f40aeadcecc7c6fdec8ab6738e4fa7873172ff7504be4f60bdf7432734","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2024-03-18T14:17:54Z","title_canon_sha256":"cb2c0ef8f6edcb60f9f4560ec08563da143acc42eb9034ee750f12b10c5fbcb4"},"schema_version":"1.0","source":{"id":"2403.11816","kind":"arxiv","version":2}},"canonical_sha256":"a65c552a1bb3037cffb1efa19a36eff74fcfbd6b06ac5b01f2d6b9a57b7873da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a65c552a1bb3037cffb1efa19a36eff74fcfbd6b06ac5b01f2d6b9a57b7873da","first_computed_at":"2026-07-05T10:21:58.295881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:21:58.295881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2zZFZ2ie1jX8wqIiY39IJ1JzCBLgbhVM2pWBWLLFRlJTDrvU8Q3EdZ+GoJXjmnH1jGfIPuqicv4yPgcTD2rHAg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:21:58.296468Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.11816","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be2055f96222e6c31ee46d58ee30d9ebff131ce7acce8dd26757ca1b09abb73a","sha256:65702946f0056e3c81c5f5e98a11938dfab5161015bf9e871b43aa8b99844706"],"state_sha256":"e8ab6c6f181dc42e942a0b7d6ecf4e9ae5624ca0092ac82276cb625dc1ebaf33"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fMzcrCRvlAdHu20EZ84jXFiqTV/DkqmorAxwst4XU5TfNw56wSy5DEoOnYSIOLLW2kLPkbgvJgqj7rwZ33hDCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T00:05:38.467949Z","bundle_sha256":"b940fddcd1603b17af82a350aa530d118a4f6b1f68bf6b000fb610308e1449d1"}}