{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LLGDA7MMUCANURYF6P24AZ6CVN","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":"a41af93e3d3eaef8b96abb653935faeb9bcfa20a7d89b80c99fc789c6784764b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-25T19:07:39Z","title_canon_sha256":"8638c7dee9665e1d37afdd4bbc9547ccbce9958267baf358e2c9211795f395d9"},"schema_version":"1.0","source":{"id":"1707.08157","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08157","created_at":"2026-05-18T00:34:36Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08157v2","created_at":"2026-05-18T00:34:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08157","created_at":"2026-05-18T00:34:36Z"},{"alias_kind":"pith_short_12","alias_value":"LLGDA7MMUCAN","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LLGDA7MMUCANURYF","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LLGDA7MM","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:abe98adad31bb5520fdee739edbbd7e854a50a683442f4b3b0c4aa8c261caefd","target":"graph","created_at":"2026-05-18T00:34:36Z","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":"Starting from the Gisin-Percival state diffusion equation for the pure state trajectory of a composite bipartite quantum system and exploiting the purification of a mixed state via its Schmidt decomposition, we write the diffusion equation for the quantum trajectory of the mixed state of a subsystem $S$ of the bipartite system, when the initial state in $S$ is mixed. Denoting the diffused state of the system $S$ at time $t$ by $\\rho_t(\\mathbf{B})$ for each $t\\geq 0$, where $\\mathbf{B}$ is the underlying complex $n$-dimensional vector-valued Brownian motion process and using It{\\^o} calculus, a","authors_text":"A. R. Usha Devi, K. R. Parthasarathy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-25T19:07:39Z","title":"Asymptotic spectral stability of the Gisin-Percival state diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08157","kind":"arxiv","version":2},"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":"sha256:8885e8f4623d09c07a86727a9cc7d9862116f67d9dec6194e32ef9df9444a87a","target":"record","created_at":"2026-05-18T00:34:36Z","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":"a41af93e3d3eaef8b96abb653935faeb9bcfa20a7d89b80c99fc789c6784764b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-25T19:07:39Z","title_canon_sha256":"8638c7dee9665e1d37afdd4bbc9547ccbce9958267baf358e2c9211795f395d9"},"schema_version":"1.0","source":{"id":"1707.08157","kind":"arxiv","version":2}},"canonical_sha256":"5acc307d8ca080da4705f3f5c067c2ab797380f02c7264bb531315c09aeece19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5acc307d8ca080da4705f3f5c067c2ab797380f02c7264bb531315c09aeece19","first_computed_at":"2026-05-18T00:34:36.982572Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:36.982572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Szf+mvyTo5CRSEYW3CXekT85BmTiBwqQ2Wxzv9+87QicJmSQV5iJLxR8+9ZTXtkfDGT/oyDQ7+YwZQN+TKGTAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:36.982980Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.08157","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8885e8f4623d09c07a86727a9cc7d9862116f67d9dec6194e32ef9df9444a87a","sha256:abe98adad31bb5520fdee739edbbd7e854a50a683442f4b3b0c4aa8c261caefd"],"state_sha256":"e387bf4add2989d91b2af6f2b7b0f90cc816bd19056794f82ad5b45b1d0df64c"}