{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4SLVUQHNJDNLMWVTAUTO3TOQ3Q","short_pith_number":"pith:4SLVUQHN","canonical_record":{"source":{"id":"2506.08319","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-06-10T01:04:29Z","cross_cats_sorted":["cs.RO","cs.SY"],"title_canon_sha256":"ae8598f7f6bf473c8dafb88c6ba349a540644db72ecd855e68e8f5ed972adb5f","abstract_canon_sha256":"847e693c24d237c9e25bd844fd4ae502e4f799523658c026d792fe1bbd01d5f1"},"schema_version":"1.0"},"canonical_sha256":"e4975a40ed48dab65ab30526edcdd0dc1dff8285225c17105f8c941205debc89","source":{"kind":"arxiv","id":"2506.08319","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.08319","created_at":"2026-06-30T02:16:52Z"},{"alias_kind":"arxiv_version","alias_value":"2506.08319v2","created_at":"2026-06-30T02:16:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.08319","created_at":"2026-06-30T02:16:52Z"},{"alias_kind":"pith_short_12","alias_value":"4SLVUQHNJDNL","created_at":"2026-06-30T02:16:52Z"},{"alias_kind":"pith_short_16","alias_value":"4SLVUQHNJDNLMWVT","created_at":"2026-06-30T02:16:52Z"},{"alias_kind":"pith_short_8","alias_value":"4SLVUQHN","created_at":"2026-06-30T02:16:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4SLVUQHNJDNLMWVTAUTO3TOQ3Q","target":"record","payload":{"canonical_record":{"source":{"id":"2506.08319","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-06-10T01:04:29Z","cross_cats_sorted":["cs.RO","cs.SY"],"title_canon_sha256":"ae8598f7f6bf473c8dafb88c6ba349a540644db72ecd855e68e8f5ed972adb5f","abstract_canon_sha256":"847e693c24d237c9e25bd844fd4ae502e4f799523658c026d792fe1bbd01d5f1"},"schema_version":"1.0"},"canonical_sha256":"e4975a40ed48dab65ab30526edcdd0dc1dff8285225c17105f8c941205debc89","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T02:16:52.398515Z","signature_b64":"uRajOrpVH6Op0XMOMIYq283iW/QMud3l7vSxQyRLJvSR78CN4IbhI996DDVOfDfbt0MLZttlHq58KtqAEcx4AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4975a40ed48dab65ab30526edcdd0dc1dff8285225c17105f8c941205debc89","last_reissued_at":"2026-06-30T02:16:52.397748Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T02:16:52.397748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.08319","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":"2026-06-30T02:16:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9YD8BX4+9EKwiu8ylvXEuccpK52NAIg8WUDW6AYve0/KpkcTqMgEXXt0iWchQRV2QfZOdovc7r943mWS7HYxDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:38:51.881947Z"},"content_sha256":"d813deb5fe2bc89050d600d1cb613980bc2fc131f51f94ea1755ee175dbd5c1e","schema_version":"1.0","event_id":"sha256:d813deb5fe2bc89050d600d1cb613980bc2fc131f51f94ea1755ee175dbd5c1e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4SLVUQHNJDNLMWVTAUTO3TOQ3Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differentiable Physics-Informed Adaptive Koopman Control for Stable Flight under Unknown Disturbances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.RO","cs.SY"],"primary_cat":"eess.SY","authors_text":"Ao Jin, Fan Zhang, Panfeng Huang, Qiujin Liang, Tao Zhang","submitted_at":"2025-06-10T01:04:29Z","abstract_excerpt":"Uncertainties and disturbances in robotic systems, such as aerodynamic forces, are fundamentally outcomes of physical interactions with the environment, manifesting as learnable spatiotemporal sequences rather than random noise. However, achieving high-precision control for robotic systems operating in unstructured environments is often hindered by complex unmodeled dynamics and external disturbances. While learning-based methods offer powerful approximation capabilities, they typically suffer from heavy reliance on offline training and lack theoretical guarantees. Conversely, traditional robu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.08319","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/2506.08319/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":"2026-06-30T02:16:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AV7sHnnyuBggForDJ5VfhIuH84fiJ3fImdOYGzApeBeR18qZCIaU97zTGJ4/rMh2kv8YUfrH2popG7nclXPWBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:38:51.882501Z"},"content_sha256":"c570ca9b1af8e9b6020d2dff8348ee00600da6547815a5b36a4e771de521553a","schema_version":"1.0","event_id":"sha256:c570ca9b1af8e9b6020d2dff8348ee00600da6547815a5b36a4e771de521553a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4SLVUQHNJDNLMWVTAUTO3TOQ3Q/bundle.json","state_url":"https://pith.science/pith/4SLVUQHNJDNLMWVTAUTO3TOQ3Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4SLVUQHNJDNLMWVTAUTO3TOQ3Q/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":"2026-08-08T09:38:51Z","links":{"resolver":"https://pith.science/pith/4SLVUQHNJDNLMWVTAUTO3TOQ3Q","bundle":"https://pith.science/pith/4SLVUQHNJDNLMWVTAUTO3TOQ3Q/bundle.json","state":"https://pith.science/pith/4SLVUQHNJDNLMWVTAUTO3TOQ3Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4SLVUQHNJDNLMWVTAUTO3TOQ3Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4SLVUQHNJDNLMWVTAUTO3TOQ3Q","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":"847e693c24d237c9e25bd844fd4ae502e4f799523658c026d792fe1bbd01d5f1","cross_cats_sorted":["cs.RO","cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-06-10T01:04:29Z","title_canon_sha256":"ae8598f7f6bf473c8dafb88c6ba349a540644db72ecd855e68e8f5ed972adb5f"},"schema_version":"1.0","source":{"id":"2506.08319","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.08319","created_at":"2026-06-30T02:16:52Z"},{"alias_kind":"arxiv_version","alias_value":"2506.08319v2","created_at":"2026-06-30T02:16:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.08319","created_at":"2026-06-30T02:16:52Z"},{"alias_kind":"pith_short_12","alias_value":"4SLVUQHNJDNL","created_at":"2026-06-30T02:16:52Z"},{"alias_kind":"pith_short_16","alias_value":"4SLVUQHNJDNLMWVT","created_at":"2026-06-30T02:16:52Z"},{"alias_kind":"pith_short_8","alias_value":"4SLVUQHN","created_at":"2026-06-30T02:16:52Z"}],"graph_snapshots":[{"event_id":"sha256:c570ca9b1af8e9b6020d2dff8348ee00600da6547815a5b36a4e771de521553a","target":"graph","created_at":"2026-06-30T02:16:52Z","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/2506.08319/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Uncertainties and disturbances in robotic systems, such as aerodynamic forces, are fundamentally outcomes of physical interactions with the environment, manifesting as learnable spatiotemporal sequences rather than random noise. However, achieving high-precision control for robotic systems operating in unstructured environments is often hindered by complex unmodeled dynamics and external disturbances. While learning-based methods offer powerful approximation capabilities, they typically suffer from heavy reliance on offline training and lack theoretical guarantees. Conversely, traditional robu","authors_text":"Ao Jin, Fan Zhang, Panfeng Huang, Qiujin Liang, Tao Zhang","cross_cats":["cs.RO","cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-06-10T01:04:29Z","title":"Differentiable Physics-Informed Adaptive Koopman Control for Stable Flight under Unknown Disturbances"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.08319","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:d813deb5fe2bc89050d600d1cb613980bc2fc131f51f94ea1755ee175dbd5c1e","target":"record","created_at":"2026-06-30T02:16:52Z","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":"847e693c24d237c9e25bd844fd4ae502e4f799523658c026d792fe1bbd01d5f1","cross_cats_sorted":["cs.RO","cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-06-10T01:04:29Z","title_canon_sha256":"ae8598f7f6bf473c8dafb88c6ba349a540644db72ecd855e68e8f5ed972adb5f"},"schema_version":"1.0","source":{"id":"2506.08319","kind":"arxiv","version":2}},"canonical_sha256":"e4975a40ed48dab65ab30526edcdd0dc1dff8285225c17105f8c941205debc89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4975a40ed48dab65ab30526edcdd0dc1dff8285225c17105f8c941205debc89","first_computed_at":"2026-06-30T02:16:52.397748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T02:16:52.397748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uRajOrpVH6Op0XMOMIYq283iW/QMud3l7vSxQyRLJvSR78CN4IbhI996DDVOfDfbt0MLZttlHq58KtqAEcx4AA==","signature_status":"signed_v1","signed_at":"2026-06-30T02:16:52.398515Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.08319","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d813deb5fe2bc89050d600d1cb613980bc2fc131f51f94ea1755ee175dbd5c1e","sha256:c570ca9b1af8e9b6020d2dff8348ee00600da6547815a5b36a4e771de521553a"],"state_sha256":"12afc37d9fe7294890e4216a862d1338211dc7d9b34804123fbc90de27b0c012"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BXA7q9RF7ppXOlsJS05CYih3FXgN+T2Dgy2ikfjM9CE5KrJr1KcFH1j2JUdwmUGKMJIutQ1DCkwlY3LDPxw/Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T09:38:51.886531Z","bundle_sha256":"af7b842b67d6548fdf3e9f906f281ac05a87aa46d91891aab2ecb553ab308b01"}}