{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:VP2K5SJHTPKHNAU4LWQPPCUIZN","short_pith_number":"pith:VP2K5SJH","canonical_record":{"source":{"id":"1804.06765","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-18T14:36:49Z","cross_cats_sorted":[],"title_canon_sha256":"c5cafe129501a70b8d87685014b22c826ebd1b19973b434b646a71cf4ba76f3a","abstract_canon_sha256":"b5d0cc2e61c16dd601c0b40d46e1deccdbb22bb95331c575eeb3868376bd893a"},"schema_version":"1.0"},"canonical_sha256":"abf4aec9279bd476829c5da0f78a88cb40bc3a8162d63a6b13429f340ce85747","source":{"kind":"arxiv","id":"1804.06765","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06765","created_at":"2026-05-18T00:18:05Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06765v1","created_at":"2026-05-18T00:18:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06765","created_at":"2026-05-18T00:18:05Z"},{"alias_kind":"pith_short_12","alias_value":"VP2K5SJHTPKH","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VP2K5SJHTPKHNAU4","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VP2K5SJH","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:VP2K5SJHTPKHNAU4LWQPPCUIZN","target":"record","payload":{"canonical_record":{"source":{"id":"1804.06765","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-18T14:36:49Z","cross_cats_sorted":[],"title_canon_sha256":"c5cafe129501a70b8d87685014b22c826ebd1b19973b434b646a71cf4ba76f3a","abstract_canon_sha256":"b5d0cc2e61c16dd601c0b40d46e1deccdbb22bb95331c575eeb3868376bd893a"},"schema_version":"1.0"},"canonical_sha256":"abf4aec9279bd476829c5da0f78a88cb40bc3a8162d63a6b13429f340ce85747","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:05.792427Z","signature_b64":"pWrX1QxOdSzsMbvvTiQebHBhhMGYs2xTyN35W5sEj/DPnc3z3QeOEXiyF9fn42/1dQXuJ+lxNvtde/wThKpUDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abf4aec9279bd476829c5da0f78a88cb40bc3a8162d63a6b13429f340ce85747","last_reissued_at":"2026-05-18T00:18:05.791830Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:05.791830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.06765","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":"2026-05-18T00:18:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sq4+HrpnQcm48fhdgayIr2MTJTfe0ckVdcurQsMCKMaHTgAqivFu4JL7LSBBZUuz7tegGVs9/5oib9TB9VuMCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T12:20:51.877413Z"},"content_sha256":"2ff58dbea0d61dab3224982ac510aff60100b290b87c9544746f0b1963c3e1ca","schema_version":"1.0","event_id":"sha256:2ff58dbea0d61dab3224982ac510aff60100b290b87c9544746f0b1963c3e1ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:VP2K5SJHTPKHNAU4LWQPPCUIZN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Further results on the asymptotic behavior of a 2D overhead crane with input delays: Exponential convergence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Boumedi\\`ene Chentouf, Ka\\\"is Ammari","submitted_at":"2018-04-18T14:36:49Z","abstract_excerpt":"This article is concerned with the asymptotic behavior of a 2D overhead crane. Taking into account the presence of a delay in the boundary, and assuming that no displacement term appears in the system, a distributed (interior) damping feedback law is proposed in order to compensate the effect of the delay. Then, invoking the frequency domain method, the solutions of the closed-loop system are proved to converge exponentially to a stationary position. This improves the recent result obtained by Al-Musallam-Ammari-Chentouf, where the rate of convergence is at most of polynomial type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06765","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":""},"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":"2026-05-18T00:18:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0Fpnv22jlvRajkKY6rTk2Pe3sjZK2NnwQsARdppixvBATqIqvXgYkZC5dkRf5YhjBkSxqFkjgulpUZiYGaKUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T12:20:51.877766Z"},"content_sha256":"c57f340c6b1a71453538b1ce66ddc56a928632d90f129f6ed685ec98528e7199","schema_version":"1.0","event_id":"sha256:c57f340c6b1a71453538b1ce66ddc56a928632d90f129f6ed685ec98528e7199"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VP2K5SJHTPKHNAU4LWQPPCUIZN/bundle.json","state_url":"https://pith.science/pith/VP2K5SJHTPKHNAU4LWQPPCUIZN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VP2K5SJHTPKHNAU4LWQPPCUIZN/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":"2026-06-23T12:20:51Z","links":{"resolver":"https://pith.science/pith/VP2K5SJHTPKHNAU4LWQPPCUIZN","bundle":"https://pith.science/pith/VP2K5SJHTPKHNAU4LWQPPCUIZN/bundle.json","state":"https://pith.science/pith/VP2K5SJHTPKHNAU4LWQPPCUIZN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VP2K5SJHTPKHNAU4LWQPPCUIZN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VP2K5SJHTPKHNAU4LWQPPCUIZN","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":"b5d0cc2e61c16dd601c0b40d46e1deccdbb22bb95331c575eeb3868376bd893a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-18T14:36:49Z","title_canon_sha256":"c5cafe129501a70b8d87685014b22c826ebd1b19973b434b646a71cf4ba76f3a"},"schema_version":"1.0","source":{"id":"1804.06765","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06765","created_at":"2026-05-18T00:18:05Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06765v1","created_at":"2026-05-18T00:18:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06765","created_at":"2026-05-18T00:18:05Z"},{"alias_kind":"pith_short_12","alias_value":"VP2K5SJHTPKH","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VP2K5SJHTPKHNAU4","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VP2K5SJH","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:c57f340c6b1a71453538b1ce66ddc56a928632d90f129f6ed685ec98528e7199","target":"graph","created_at":"2026-05-18T00:18:05Z","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"},"paper":{"abstract_excerpt":"This article is concerned with the asymptotic behavior of a 2D overhead crane. Taking into account the presence of a delay in the boundary, and assuming that no displacement term appears in the system, a distributed (interior) damping feedback law is proposed in order to compensate the effect of the delay. Then, invoking the frequency domain method, the solutions of the closed-loop system are proved to converge exponentially to a stationary position. This improves the recent result obtained by Al-Musallam-Ammari-Chentouf, where the rate of convergence is at most of polynomial type.","authors_text":"Boumedi\\`ene Chentouf, Ka\\\"is Ammari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-18T14:36:49Z","title":"Further results on the asymptotic behavior of a 2D overhead crane with input delays: Exponential convergence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06765","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":"sha256:2ff58dbea0d61dab3224982ac510aff60100b290b87c9544746f0b1963c3e1ca","target":"record","created_at":"2026-05-18T00:18:05Z","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":"b5d0cc2e61c16dd601c0b40d46e1deccdbb22bb95331c575eeb3868376bd893a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-18T14:36:49Z","title_canon_sha256":"c5cafe129501a70b8d87685014b22c826ebd1b19973b434b646a71cf4ba76f3a"},"schema_version":"1.0","source":{"id":"1804.06765","kind":"arxiv","version":1}},"canonical_sha256":"abf4aec9279bd476829c5da0f78a88cb40bc3a8162d63a6b13429f340ce85747","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abf4aec9279bd476829c5da0f78a88cb40bc3a8162d63a6b13429f340ce85747","first_computed_at":"2026-05-18T00:18:05.791830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:05.791830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pWrX1QxOdSzsMbvvTiQebHBhhMGYs2xTyN35W5sEj/DPnc3z3QeOEXiyF9fn42/1dQXuJ+lxNvtde/wThKpUDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:05.792427Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.06765","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ff58dbea0d61dab3224982ac510aff60100b290b87c9544746f0b1963c3e1ca","sha256:c57f340c6b1a71453538b1ce66ddc56a928632d90f129f6ed685ec98528e7199"],"state_sha256":"3c429519260f8e6f9dfb5a9f46a7241e5b2478be3d2464e623d08b5b5dfbff24"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QSeHRgY03Y5o6Ehh3y2jiSjfHFXC+Scq1Stmqv5o/WhiWlAGcHZA9qtuh92HUS52H5GnRO1pZZLTKy0YLx4IAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T12:20:51.879837Z","bundle_sha256":"7bde8a28860284e65be0da2a86dc61c7603c8869fd915c3c7e7202835d330094"}}