{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:SDJCQTJ5QTM5346JR4FHXII37E","short_pith_number":"pith:SDJCQTJ5","canonical_record":{"source":{"id":"2605.19054","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T19:18:27Z","cross_cats_sorted":[],"title_canon_sha256":"0338b3bf06cf9ac3a60058afcbf577b595f7953449edda717d8afe5df7ba26eb","abstract_canon_sha256":"7eb6071e601d7e35c4f9c96b4c36a81f1e881b371f591d18c86b2d859211d08f"},"schema_version":"1.0"},"canonical_sha256":"90d2284d3d84d9ddf3c98f0a7ba11bf90e4061a8c8b69b7e4ed2696a5c860879","source":{"kind":"arxiv","id":"2605.19054","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.19054","created_at":"2026-05-20T01:05:25Z"},{"alias_kind":"arxiv_version","alias_value":"2605.19054v1","created_at":"2026-05-20T01:05:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.19054","created_at":"2026-05-20T01:05:25Z"},{"alias_kind":"pith_short_12","alias_value":"SDJCQTJ5QTM5","created_at":"2026-05-20T01:05:25Z"},{"alias_kind":"pith_short_16","alias_value":"SDJCQTJ5QTM5346J","created_at":"2026-05-20T01:05:25Z"},{"alias_kind":"pith_short_8","alias_value":"SDJCQTJ5","created_at":"2026-05-20T01:05:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:SDJCQTJ5QTM5346JR4FHXII37E","target":"record","payload":{"canonical_record":{"source":{"id":"2605.19054","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T19:18:27Z","cross_cats_sorted":[],"title_canon_sha256":"0338b3bf06cf9ac3a60058afcbf577b595f7953449edda717d8afe5df7ba26eb","abstract_canon_sha256":"7eb6071e601d7e35c4f9c96b4c36a81f1e881b371f591d18c86b2d859211d08f"},"schema_version":"1.0"},"canonical_sha256":"90d2284d3d84d9ddf3c98f0a7ba11bf90e4061a8c8b69b7e4ed2696a5c860879","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T01:05:25.069486Z","signature_b64":"vgYYQyUpK8dkq5YmHyHdzS5UPESjyDd5Af5s33zsFcw3eC0NUoLyW9hOZdlOGCHF4npDz9ElK3do9UsE/VtlBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90d2284d3d84d9ddf3c98f0a7ba11bf90e4061a8c8b69b7e4ed2696a5c860879","last_reissued_at":"2026-05-20T01:05:25.068797Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T01:05:25.068797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.19054","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":"2026-05-20T01:05:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cg9w7qTEgBJfdXq9qAgNxyRBCO7e13JgUxUJ5KRlyD/MHVfPzVar6pafNa5bYCj+QQLNo1GWv5uq2fkpRyTLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T09:04:54.979232Z"},"content_sha256":"f2ff05244ad537c888fc67d9cbcb92916df3e84e4f0a2bae1422ab99688d161c","schema_version":"1.0","event_id":"sha256:f2ff05244ad537c888fc67d9cbcb92916df3e84e4f0a2bae1422ab99688d161c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:SDJCQTJ5QTM5346JR4FHXII37E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Koopman Algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"David Jennings, Guoming Wang, Kamil Korzekwa, Matteo Lostaglio","submitted_at":"2026-05-18T19:18:27Z","abstract_excerpt":"We define an observable-space framework of Quantum Koopman Algorithms (QKAs) for simulating the dynamics of both linear quantum and nonlinear classical systems, based on approximately closed sets of observables and efficient coherent encodings of their Koopman-driven evolution. QKAs have two strands: Dynamic-QKA for the initial-value problem of observables dynamics, and Spectral-QKA for the eigenvalue analysis of the Koopman operator. We demonstrate the scope of the framework through several applications. First, for classes of $N$ free fermions linearly coupled to a bath, we construct quantum "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.19054","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/2605.19054/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":"2026-05-20T01:05:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0GzlVMIuKwnyxbXQpfyb9wxVAMACP0cDZnwKT2Ck818vXX70kRqkBgwNdLJ0JNLbcQXKKDnkk+BEdbqmeImUAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T09:04:54.979628Z"},"content_sha256":"43d8b9756d7b22d26b59c11c4742d102e437316c7cae75dd9cb0c927a8b824f2","schema_version":"1.0","event_id":"sha256:43d8b9756d7b22d26b59c11c4742d102e437316c7cae75dd9cb0c927a8b824f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SDJCQTJ5QTM5346JR4FHXII37E/bundle.json","state_url":"https://pith.science/pith/SDJCQTJ5QTM5346JR4FHXII37E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SDJCQTJ5QTM5346JR4FHXII37E/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":"2026-05-21T09:04:54Z","links":{"resolver":"https://pith.science/pith/SDJCQTJ5QTM5346JR4FHXII37E","bundle":"https://pith.science/pith/SDJCQTJ5QTM5346JR4FHXII37E/bundle.json","state":"https://pith.science/pith/SDJCQTJ5QTM5346JR4FHXII37E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SDJCQTJ5QTM5346JR4FHXII37E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:SDJCQTJ5QTM5346JR4FHXII37E","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":"7eb6071e601d7e35c4f9c96b4c36a81f1e881b371f591d18c86b2d859211d08f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T19:18:27Z","title_canon_sha256":"0338b3bf06cf9ac3a60058afcbf577b595f7953449edda717d8afe5df7ba26eb"},"schema_version":"1.0","source":{"id":"2605.19054","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.19054","created_at":"2026-05-20T01:05:25Z"},{"alias_kind":"arxiv_version","alias_value":"2605.19054v1","created_at":"2026-05-20T01:05:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.19054","created_at":"2026-05-20T01:05:25Z"},{"alias_kind":"pith_short_12","alias_value":"SDJCQTJ5QTM5","created_at":"2026-05-20T01:05:25Z"},{"alias_kind":"pith_short_16","alias_value":"SDJCQTJ5QTM5346J","created_at":"2026-05-20T01:05:25Z"},{"alias_kind":"pith_short_8","alias_value":"SDJCQTJ5","created_at":"2026-05-20T01:05:25Z"}],"graph_snapshots":[{"event_id":"sha256:43d8b9756d7b22d26b59c11c4742d102e437316c7cae75dd9cb0c927a8b824f2","target":"graph","created_at":"2026-05-20T01:05:25Z","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/2605.19054/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define an observable-space framework of Quantum Koopman Algorithms (QKAs) for simulating the dynamics of both linear quantum and nonlinear classical systems, based on approximately closed sets of observables and efficient coherent encodings of their Koopman-driven evolution. QKAs have two strands: Dynamic-QKA for the initial-value problem of observables dynamics, and Spectral-QKA for the eigenvalue analysis of the Koopman operator. We demonstrate the scope of the framework through several applications. First, for classes of $N$ free fermions linearly coupled to a bath, we construct quantum ","authors_text":"David Jennings, Guoming Wang, Kamil Korzekwa, Matteo Lostaglio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T19:18:27Z","title":"Quantum Koopman Algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.19054","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:f2ff05244ad537c888fc67d9cbcb92916df3e84e4f0a2bae1422ab99688d161c","target":"record","created_at":"2026-05-20T01:05:25Z","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":"7eb6071e601d7e35c4f9c96b4c36a81f1e881b371f591d18c86b2d859211d08f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T19:18:27Z","title_canon_sha256":"0338b3bf06cf9ac3a60058afcbf577b595f7953449edda717d8afe5df7ba26eb"},"schema_version":"1.0","source":{"id":"2605.19054","kind":"arxiv","version":1}},"canonical_sha256":"90d2284d3d84d9ddf3c98f0a7ba11bf90e4061a8c8b69b7e4ed2696a5c860879","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90d2284d3d84d9ddf3c98f0a7ba11bf90e4061a8c8b69b7e4ed2696a5c860879","first_computed_at":"2026-05-20T01:05:25.068797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T01:05:25.068797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vgYYQyUpK8dkq5YmHyHdzS5UPESjyDd5Af5s33zsFcw3eC0NUoLyW9hOZdlOGCHF4npDz9ElK3do9UsE/VtlBQ==","signature_status":"signed_v1","signed_at":"2026-05-20T01:05:25.069486Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.19054","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2ff05244ad537c888fc67d9cbcb92916df3e84e4f0a2bae1422ab99688d161c","sha256:43d8b9756d7b22d26b59c11c4742d102e437316c7cae75dd9cb0c927a8b824f2"],"state_sha256":"29967370795416d9ec147cbd99fefa67dfa8060bd5e654314db73ae3f7a7687d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WCHGjg5lIYBWPwYmHyeIMUi5pTgWIEu5rId7m64BckQedgIEqLUdOGjno7FV0MGsgWgVGkDxpxTm/0agLhOaDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T09:04:54.981687Z","bundle_sha256":"2b2fbfdf60198800630fbca8c221bed33f4a535471fa7dd562fbf0b9e16ca0d8"}}