{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:IMKGOCFKSRQG7BOF6LWUYD43QM","short_pith_number":"pith:IMKGOCFK","canonical_record":{"source":{"id":"1811.11885","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-11-29T00:06:35Z","cross_cats_sorted":["cs.SY","math.DS","math.OC","q-bio.QM"],"title_canon_sha256":"ebbf2b4aa7e9daa6628027d6a2bd7c82b28e21fd63784a5788930a9f9f78672c","abstract_canon_sha256":"05e9d13883ce78e42cd8685e1cd8aa533423ae4cd1250352f006beb378dae452"},"schema_version":"1.0"},"canonical_sha256":"43146708aa94606f85c5f2ed4c0f9b8317d593b91aa3dffcfb6fc2ba8c1a67d3","source":{"kind":"arxiv","id":"1811.11885","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.11885","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"arxiv_version","alias_value":"1811.11885v5","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.11885","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"pith_short_12","alias_value":"IMKGOCFKSRQG","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"pith_short_16","alias_value":"IMKGOCFKSRQG7BOF","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"pith_short_8","alias_value":"IMKGOCFK","created_at":"2026-06-04T20:13:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:IMKGOCFKSRQG7BOF6LWUYD43QM","target":"record","payload":{"canonical_record":{"source":{"id":"1811.11885","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-11-29T00:06:35Z","cross_cats_sorted":["cs.SY","math.DS","math.OC","q-bio.QM"],"title_canon_sha256":"ebbf2b4aa7e9daa6628027d6a2bd7c82b28e21fd63784a5788930a9f9f78672c","abstract_canon_sha256":"05e9d13883ce78e42cd8685e1cd8aa533423ae4cd1250352f006beb378dae452"},"schema_version":"1.0"},"canonical_sha256":"43146708aa94606f85c5f2ed4c0f9b8317d593b91aa3dffcfb6fc2ba8c1a67d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T20:13:44.064360Z","signature_b64":"rcOQNuSDheyti3HxALr6l9B1TPTPp7I71LCzQVIbGytujoCpVJLwZ1Gzf9fOLwxXxph+vJsCh1v4rt7IUQv4Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43146708aa94606f85c5f2ed4c0f9b8317d593b91aa3dffcfb6fc2ba8c1a67d3","last_reissued_at":"2026-06-04T20:13:44.063732Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T20:13:44.063732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.11885","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-04T20:13:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PRkpsJtf8naYsgPMH05FjLM97hTfXSvvzQZXkfpkv/1CBEJ2oD+nEooIKLdQPVJJu78P7C4qvrIQJhw+R5PACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:18:32.872116Z"},"content_sha256":"97d79d6d9fccfe89c380aa06014915de81817837cff56174000dee6a60b09b4a","schema_version":"1.0","event_id":"sha256:97d79d6d9fccfe89c380aa06014915de81817837cff56174000dee6a60b09b4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:IMKGOCFKSRQG7BOF6LWUYD43QM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear Decomposition Principle and Fundamental Matrix Solutions for Dynamic Compartmental Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.DS","math.OC","q-bio.QM"],"primary_cat":"eess.SY","authors_text":"Huseyin Coskun","submitted_at":"2018-11-29T00:06:35Z","abstract_excerpt":"A decomposition principle for nonlinear dynamic compartmental systems is introduced in the present paper. This theory is based on the mutually exclusive and exhaustive, analytical and dynamic, novel system and subsystem partitioning methodologies. A deterministic mathematical method is developed for the dynamic analysis of nonlinear compartmental systems based on the proposed theory. The dynamic method enables tracking the evolution of all initial stocks, external inputs, and arbitrary intercompartmental flows, as well as the associated storages derived from these stocks, inputs, and flows ind"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.11885","kind":"arxiv","version":5},"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/1811.11885/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":"2026-06-04T20:13:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6SV42EAYCcroeZaWyROziVB6tNDXfBHuTEY1IPeNbY7gLdy9uy4mTpDGxlZqg4mzTUHs4VB46d7lFG7HlCzJCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:18:32.872636Z"},"content_sha256":"d9724331f950212732e95ee2fd8edeb43fa1d27d354ebb3c6f5e948bdcd5d660","schema_version":"1.0","event_id":"sha256:d9724331f950212732e95ee2fd8edeb43fa1d27d354ebb3c6f5e948bdcd5d660"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IMKGOCFKSRQG7BOF6LWUYD43QM/bundle.json","state_url":"https://pith.science/pith/IMKGOCFKSRQG7BOF6LWUYD43QM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IMKGOCFKSRQG7BOF6LWUYD43QM/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":"2026-08-04T13:18:32Z","links":{"resolver":"https://pith.science/pith/IMKGOCFKSRQG7BOF6LWUYD43QM","bundle":"https://pith.science/pith/IMKGOCFKSRQG7BOF6LWUYD43QM/bundle.json","state":"https://pith.science/pith/IMKGOCFKSRQG7BOF6LWUYD43QM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IMKGOCFKSRQG7BOF6LWUYD43QM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IMKGOCFKSRQG7BOF6LWUYD43QM","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":"05e9d13883ce78e42cd8685e1cd8aa533423ae4cd1250352f006beb378dae452","cross_cats_sorted":["cs.SY","math.DS","math.OC","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-11-29T00:06:35Z","title_canon_sha256":"ebbf2b4aa7e9daa6628027d6a2bd7c82b28e21fd63784a5788930a9f9f78672c"},"schema_version":"1.0","source":{"id":"1811.11885","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.11885","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"arxiv_version","alias_value":"1811.11885v5","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.11885","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"pith_short_12","alias_value":"IMKGOCFKSRQG","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"pith_short_16","alias_value":"IMKGOCFKSRQG7BOF","created_at":"2026-06-04T20:13:44Z"},{"alias_kind":"pith_short_8","alias_value":"IMKGOCFK","created_at":"2026-06-04T20:13:44Z"}],"graph_snapshots":[{"event_id":"sha256:d9724331f950212732e95ee2fd8edeb43fa1d27d354ebb3c6f5e948bdcd5d660","target":"graph","created_at":"2026-06-04T20:13:44Z","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/1811.11885/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A decomposition principle for nonlinear dynamic compartmental systems is introduced in the present paper. This theory is based on the mutually exclusive and exhaustive, analytical and dynamic, novel system and subsystem partitioning methodologies. A deterministic mathematical method is developed for the dynamic analysis of nonlinear compartmental systems based on the proposed theory. The dynamic method enables tracking the evolution of all initial stocks, external inputs, and arbitrary intercompartmental flows, as well as the associated storages derived from these stocks, inputs, and flows ind","authors_text":"Huseyin Coskun","cross_cats":["cs.SY","math.DS","math.OC","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-11-29T00:06:35Z","title":"Nonlinear Decomposition Principle and Fundamental Matrix Solutions for Dynamic Compartmental Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.11885","kind":"arxiv","version":5},"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":"sha256:97d79d6d9fccfe89c380aa06014915de81817837cff56174000dee6a60b09b4a","target":"record","created_at":"2026-06-04T20:13:44Z","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":"05e9d13883ce78e42cd8685e1cd8aa533423ae4cd1250352f006beb378dae452","cross_cats_sorted":["cs.SY","math.DS","math.OC","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-11-29T00:06:35Z","title_canon_sha256":"ebbf2b4aa7e9daa6628027d6a2bd7c82b28e21fd63784a5788930a9f9f78672c"},"schema_version":"1.0","source":{"id":"1811.11885","kind":"arxiv","version":5}},"canonical_sha256":"43146708aa94606f85c5f2ed4c0f9b8317d593b91aa3dffcfb6fc2ba8c1a67d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43146708aa94606f85c5f2ed4c0f9b8317d593b91aa3dffcfb6fc2ba8c1a67d3","first_computed_at":"2026-06-04T20:13:44.063732Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T20:13:44.063732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rcOQNuSDheyti3HxALr6l9B1TPTPp7I71LCzQVIbGytujoCpVJLwZ1Gzf9fOLwxXxph+vJsCh1v4rt7IUQv4Aw==","signature_status":"signed_v1","signed_at":"2026-06-04T20:13:44.064360Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.11885","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97d79d6d9fccfe89c380aa06014915de81817837cff56174000dee6a60b09b4a","sha256:d9724331f950212732e95ee2fd8edeb43fa1d27d354ebb3c6f5e948bdcd5d660"],"state_sha256":"5910d899741c25f5595745ae40f68d38bd7a1e0437d6d774fc3ff89b03b02d6f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"73+rYOA+WI8+m5NHnjAlFvCKiKnKgvQ5hr1MdtrhDo7WWfoqOIcNLxk4ctooxQ8JcmSdPU1cpDWwSSMFWqedDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T13:18:32.876743Z","bundle_sha256":"b255ac40c27575c870436f5fb2453a16b497e97b712e4d5b8ed3834ce60c7434"}}