{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UVAGXYICIMMS65DXU2Y6BTWEWQ","short_pith_number":"pith:UVAGXYIC","canonical_record":{"source":{"id":"1609.07253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-09-23T07:23:46Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"203a9513045b50677b5f19ce4ab6711ec0dcb51522c3bb155d4a027a49e8bf08","abstract_canon_sha256":"6a4810bdf56bc705352acd99a539baccd8b969d876db05a9f3a0a4d33f2597b6"},"schema_version":"1.0"},"canonical_sha256":"a5406be10243192f7477a6b1e0cec4b43cdb36b43a2decbb92f9681c25d0f254","source":{"kind":"arxiv","id":"1609.07253","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.07253","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"arxiv_version","alias_value":"1609.07253v1","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07253","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"pith_short_12","alias_value":"UVAGXYICIMMS","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UVAGXYICIMMS65DX","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UVAGXYIC","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UVAGXYICIMMS65DXU2Y6BTWEWQ","target":"record","payload":{"canonical_record":{"source":{"id":"1609.07253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-09-23T07:23:46Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"203a9513045b50677b5f19ce4ab6711ec0dcb51522c3bb155d4a027a49e8bf08","abstract_canon_sha256":"6a4810bdf56bc705352acd99a539baccd8b969d876db05a9f3a0a4d33f2597b6"},"schema_version":"1.0"},"canonical_sha256":"a5406be10243192f7477a6b1e0cec4b43cdb36b43a2decbb92f9681c25d0f254","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:56.913428Z","signature_b64":"e7F56xyYhZP/PRj2Ejmyc3BgcjVfs4dLv5Cv3+zptE8i0vtQANARkau0hAAwtYNY3wGq2z/mgw8/5TfbzgO5Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5406be10243192f7477a6b1e0cec4b43cdb36b43a2decbb92f9681c25d0f254","last_reissued_at":"2026-05-18T00:39:56.912909Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:56.912909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.07253","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":"2026-05-18T00:39:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"77kYLVE0RDA0d11ZPZnXGmsU+EuS5/yU7b0kCerSOHuDM/Ce223xIwVPaP0YqXXzaGejsqtSBiQX+tBffr+MCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:27:55.434870Z"},"content_sha256":"5416bb7e03bcbf9ebf53797fd18fde1f11e2be204bf551701e5e8340e6641cb0","schema_version":"1.0","event_id":"sha256:5416bb7e03bcbf9ebf53797fd18fde1f11e2be204bf551701e5e8340e6641cb0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UVAGXYICIMMS65DXU2Y6BTWEWQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Determinability and state estimation for switched differential-algebraic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"cs.SY","authors_text":"Aneel Tanwani, Stephan Trenn","submitted_at":"2016-09-23T07:23:46Z","abstract_excerpt":"The problem of state reconstruction and estimation is considered for a class of switched dynamical systems whose subsystems are modeled using linear differential-algebraic equations (DAEs). Since this system class imposes time-varying dynamic and static (in the form of algebraic constraints) relations on the evolution of state trajectories, an appropriate notion of observability is presented which accommodates these phenomena. Based on this notion, we first derive a formula for the reconstruction of the state of the system where we explicitly obtain an injective mapping from the output to the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07253","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":"2026-05-18T00:39:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"14g1MQxMyPicwjYOISdHsizpGp+o/PMvVypYSDrVDqjOY5A0Ir9m2OA/nPhnGuWmMRadM91Ib+bW0rwFOoPuDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:27:55.435209Z"},"content_sha256":"904169d65f329baddc93ec3e9dd76427c2f1b3223eb576a9e11da6f0243f673c","schema_version":"1.0","event_id":"sha256:904169d65f329baddc93ec3e9dd76427c2f1b3223eb576a9e11da6f0243f673c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UVAGXYICIMMS65DXU2Y6BTWEWQ/bundle.json","state_url":"https://pith.science/pith/UVAGXYICIMMS65DXU2Y6BTWEWQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UVAGXYICIMMS65DXU2Y6BTWEWQ/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":"2026-06-27T15:27:55Z","links":{"resolver":"https://pith.science/pith/UVAGXYICIMMS65DXU2Y6BTWEWQ","bundle":"https://pith.science/pith/UVAGXYICIMMS65DXU2Y6BTWEWQ/bundle.json","state":"https://pith.science/pith/UVAGXYICIMMS65DXU2Y6BTWEWQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UVAGXYICIMMS65DXU2Y6BTWEWQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UVAGXYICIMMS65DXU2Y6BTWEWQ","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":"6a4810bdf56bc705352acd99a539baccd8b969d876db05a9f3a0a4d33f2597b6","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-09-23T07:23:46Z","title_canon_sha256":"203a9513045b50677b5f19ce4ab6711ec0dcb51522c3bb155d4a027a49e8bf08"},"schema_version":"1.0","source":{"id":"1609.07253","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.07253","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"arxiv_version","alias_value":"1609.07253v1","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07253","created_at":"2026-05-18T00:39:56Z"},{"alias_kind":"pith_short_12","alias_value":"UVAGXYICIMMS","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UVAGXYICIMMS65DX","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UVAGXYIC","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:904169d65f329baddc93ec3e9dd76427c2f1b3223eb576a9e11da6f0243f673c","target":"graph","created_at":"2026-05-18T00:39:56Z","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":"The problem of state reconstruction and estimation is considered for a class of switched dynamical systems whose subsystems are modeled using linear differential-algebraic equations (DAEs). Since this system class imposes time-varying dynamic and static (in the form of algebraic constraints) relations on the evolution of state trajectories, an appropriate notion of observability is presented which accommodates these phenomena. Based on this notion, we first derive a formula for the reconstruction of the state of the system where we explicitly obtain an injective mapping from the output to the ","authors_text":"Aneel Tanwani, Stephan Trenn","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-09-23T07:23:46Z","title":"Determinability and state estimation for switched differential-algebraic equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07253","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":"sha256:5416bb7e03bcbf9ebf53797fd18fde1f11e2be204bf551701e5e8340e6641cb0","target":"record","created_at":"2026-05-18T00:39:56Z","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":"6a4810bdf56bc705352acd99a539baccd8b969d876db05a9f3a0a4d33f2597b6","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-09-23T07:23:46Z","title_canon_sha256":"203a9513045b50677b5f19ce4ab6711ec0dcb51522c3bb155d4a027a49e8bf08"},"schema_version":"1.0","source":{"id":"1609.07253","kind":"arxiv","version":1}},"canonical_sha256":"a5406be10243192f7477a6b1e0cec4b43cdb36b43a2decbb92f9681c25d0f254","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5406be10243192f7477a6b1e0cec4b43cdb36b43a2decbb92f9681c25d0f254","first_computed_at":"2026-05-18T00:39:56.912909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:56.912909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e7F56xyYhZP/PRj2Ejmyc3BgcjVfs4dLv5Cv3+zptE8i0vtQANARkau0hAAwtYNY3wGq2z/mgw8/5TfbzgO5Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:56.913428Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.07253","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5416bb7e03bcbf9ebf53797fd18fde1f11e2be204bf551701e5e8340e6641cb0","sha256:904169d65f329baddc93ec3e9dd76427c2f1b3223eb576a9e11da6f0243f673c"],"state_sha256":"26b19592d6da892b8061579177a0b300e23b6a03e8e59d83b257323e4d4f32b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"29Od+VVfSuQ64QARp04uUfFddg+uorWK3kgDXtezCrZvXpJcJAKgbtTncVddbx6EvaUy804E+09MVo3m9QUSAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T15:27:55.437112Z","bundle_sha256":"29deb7bd5c504e8d6c76e82b0c254bab706f8ea34c5e223b28ac11d1b96e3be2"}}