{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:DRPOVFPD5VK2RJZ7DUY4E3ALXL","short_pith_number":"pith:DRPOVFPD","canonical_record":{"source":{"id":"2410.09392","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-10-12T06:47:25Z","cross_cats_sorted":[],"title_canon_sha256":"b9b28943dd1aebfe2047fa7ad493fde1cf422c20b9edde56177508fc31632c4c","abstract_canon_sha256":"e4d600eb798e16215bacc4203de221330a956ca08f7d63eacd0a75a34c938d43"},"schema_version":"1.0"},"canonical_sha256":"1c5eea95e3ed55a8a73f1d31c26c0bbacef3643293cea9b8d4f44f3552d8a1ac","source":{"kind":"arxiv","id":"2410.09392","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.09392","created_at":"2026-07-05T09:19:38Z"},{"alias_kind":"arxiv_version","alias_value":"2410.09392v1","created_at":"2026-07-05T09:19:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.09392","created_at":"2026-07-05T09:19:38Z"},{"alias_kind":"pith_short_12","alias_value":"DRPOVFPD5VK2","created_at":"2026-07-05T09:19:38Z"},{"alias_kind":"pith_short_16","alias_value":"DRPOVFPD5VK2RJZ7","created_at":"2026-07-05T09:19:38Z"},{"alias_kind":"pith_short_8","alias_value":"DRPOVFPD","created_at":"2026-07-05T09:19:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:DRPOVFPD5VK2RJZ7DUY4E3ALXL","target":"record","payload":{"canonical_record":{"source":{"id":"2410.09392","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-10-12T06:47:25Z","cross_cats_sorted":[],"title_canon_sha256":"b9b28943dd1aebfe2047fa7ad493fde1cf422c20b9edde56177508fc31632c4c","abstract_canon_sha256":"e4d600eb798e16215bacc4203de221330a956ca08f7d63eacd0a75a34c938d43"},"schema_version":"1.0"},"canonical_sha256":"1c5eea95e3ed55a8a73f1d31c26c0bbacef3643293cea9b8d4f44f3552d8a1ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:19:38.664806Z","signature_b64":"spfhY7/mxf4olqQz7FGesxFwetBALNvdcNi5vC1ow5560AXRn6PRPwzoS5n3jGm020YW217qMRLUQT346b6oAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c5eea95e3ed55a8a73f1d31c26c0bbacef3643293cea9b8d4f44f3552d8a1ac","last_reissued_at":"2026-07-05T09:19:38.664307Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:19:38.664307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.09392","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":"2026-07-05T09:19:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6rBInI10EH9vkn/PAlJGlQJGvYPAO4EYabzv/ELWgzDHFWdu0rbG8u76+WyMBAShhNZ+/8XApPdntAnvDaD1Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T11:44:47.978785Z"},"content_sha256":"f9196408f679a9f59d82e262b5775823e81289e0753f59e0ec6cb0a6cdf88b52","schema_version":"1.0","event_id":"sha256:f9196408f679a9f59d82e262b5775823e81289e0753f59e0ec6cb0a6cdf88b52"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:DRPOVFPD5VK2RJZ7DUY4E3ALXL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite-time stability of nonlinear conformable fractional-order delayed impulsive systems: Impulsive control and perturbation perspectives","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"J. Shi, L. Li, L. Luo, Z. Liu","submitted_at":"2024-10-12T06:47:25Z","abstract_excerpt":"This paper investigates the finite-time stability (FTS) of nonlinear conformable fractional-order delayed impulsive systems (CFODISs). Using the conformable fractional-order (CFO) derivative framework, we derive a novel FTS result by extending the existing works on continuous integer-order (IO) systems. This result highlights that the settling time of continuous CFO systems depends on the system order and plays a crucial role in discussing FTS scenarios subject to delayed impulses. We establish Lyapunov-based FTS criteria for CFODISs, considering both impulsive control and impulsive perturbati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.09392","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/2410.09392/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":"2026-07-05T09:19:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gTzxspo40V9GRI858iK9KYIQ70U94v7rR2jZVInrrHMYtBuaF368qimUbIjegv+ePUf3O2sbsYW1rlFKnblwBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T11:44:47.979300Z"},"content_sha256":"4947e31162017a3d98b9271b8eec87dc462e0459ee6e397d82c5cd9fc7aa35cb","schema_version":"1.0","event_id":"sha256:4947e31162017a3d98b9271b8eec87dc462e0459ee6e397d82c5cd9fc7aa35cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DRPOVFPD5VK2RJZ7DUY4E3ALXL/bundle.json","state_url":"https://pith.science/pith/DRPOVFPD5VK2RJZ7DUY4E3ALXL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DRPOVFPD5VK2RJZ7DUY4E3ALXL/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":"2026-08-06T11:44:47Z","links":{"resolver":"https://pith.science/pith/DRPOVFPD5VK2RJZ7DUY4E3ALXL","bundle":"https://pith.science/pith/DRPOVFPD5VK2RJZ7DUY4E3ALXL/bundle.json","state":"https://pith.science/pith/DRPOVFPD5VK2RJZ7DUY4E3ALXL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DRPOVFPD5VK2RJZ7DUY4E3ALXL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DRPOVFPD5VK2RJZ7DUY4E3ALXL","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":"e4d600eb798e16215bacc4203de221330a956ca08f7d63eacd0a75a34c938d43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-10-12T06:47:25Z","title_canon_sha256":"b9b28943dd1aebfe2047fa7ad493fde1cf422c20b9edde56177508fc31632c4c"},"schema_version":"1.0","source":{"id":"2410.09392","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.09392","created_at":"2026-07-05T09:19:38Z"},{"alias_kind":"arxiv_version","alias_value":"2410.09392v1","created_at":"2026-07-05T09:19:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.09392","created_at":"2026-07-05T09:19:38Z"},{"alias_kind":"pith_short_12","alias_value":"DRPOVFPD5VK2","created_at":"2026-07-05T09:19:38Z"},{"alias_kind":"pith_short_16","alias_value":"DRPOVFPD5VK2RJZ7","created_at":"2026-07-05T09:19:38Z"},{"alias_kind":"pith_short_8","alias_value":"DRPOVFPD","created_at":"2026-07-05T09:19:38Z"}],"graph_snapshots":[{"event_id":"sha256:4947e31162017a3d98b9271b8eec87dc462e0459ee6e397d82c5cd9fc7aa35cb","target":"graph","created_at":"2026-07-05T09:19:38Z","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/2410.09392/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper investigates the finite-time stability (FTS) of nonlinear conformable fractional-order delayed impulsive systems (CFODISs). Using the conformable fractional-order (CFO) derivative framework, we derive a novel FTS result by extending the existing works on continuous integer-order (IO) systems. This result highlights that the settling time of continuous CFO systems depends on the system order and plays a crucial role in discussing FTS scenarios subject to delayed impulses. We establish Lyapunov-based FTS criteria for CFODISs, considering both impulsive control and impulsive perturbati","authors_text":"J. Shi, L. Li, L. Luo, Z. Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-10-12T06:47:25Z","title":"Finite-time stability of nonlinear conformable fractional-order delayed impulsive systems: Impulsive control and perturbation perspectives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.09392","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:f9196408f679a9f59d82e262b5775823e81289e0753f59e0ec6cb0a6cdf88b52","target":"record","created_at":"2026-07-05T09:19:38Z","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":"e4d600eb798e16215bacc4203de221330a956ca08f7d63eacd0a75a34c938d43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-10-12T06:47:25Z","title_canon_sha256":"b9b28943dd1aebfe2047fa7ad493fde1cf422c20b9edde56177508fc31632c4c"},"schema_version":"1.0","source":{"id":"2410.09392","kind":"arxiv","version":1}},"canonical_sha256":"1c5eea95e3ed55a8a73f1d31c26c0bbacef3643293cea9b8d4f44f3552d8a1ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c5eea95e3ed55a8a73f1d31c26c0bbacef3643293cea9b8d4f44f3552d8a1ac","first_computed_at":"2026-07-05T09:19:38.664307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:19:38.664307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"spfhY7/mxf4olqQz7FGesxFwetBALNvdcNi5vC1ow5560AXRn6PRPwzoS5n3jGm020YW217qMRLUQT346b6oAw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:19:38.664806Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.09392","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9196408f679a9f59d82e262b5775823e81289e0753f59e0ec6cb0a6cdf88b52","sha256:4947e31162017a3d98b9271b8eec87dc462e0459ee6e397d82c5cd9fc7aa35cb"],"state_sha256":"9f0332819debbb47675644be88d6d993f8371c445c283a9b5705c0d4b6b93e1d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BHP7/pMArMqT9RVU42U/dvhTur7yzFjWtDeDeWcUnZi25BFq+NfDi8Q2Y5k1pDlEPbDDac0IeJRG7/z3ebi/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T11:44:47.982807Z","bundle_sha256":"94c2fd4cb012116fe27221bb8bc830d981daed209c0045135a9730a8bf2cfee7"}}