{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LPRTI43DVH3UFXY5V6TCQEEXMP","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":"10d6867941a9360236170fa2d0dc9cf0123a24d70ebe2477a7dc4ce2ace76a43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-10T16:54:39Z","title_canon_sha256":"a2814b33b331758dabea68ff19cc6d77e71764535edd0c90a215ae61c3b99136"},"schema_version":"1.0","source":{"id":"2607.09599","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.09599","created_at":"2026-07-13T01:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"2607.09599v1","created_at":"2026-07-13T01:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.09599","created_at":"2026-07-13T01:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"LPRTI43DVH3U","created_at":"2026-07-13T01:20:22Z"},{"alias_kind":"pith_short_16","alias_value":"LPRTI43DVH3UFXY5","created_at":"2026-07-13T01:20:22Z"},{"alias_kind":"pith_short_8","alias_value":"LPRTI43D","created_at":"2026-07-13T01:20:22Z"}],"graph_snapshots":[{"event_id":"sha256:68689d7ab53e520f8940e1e1947d956d94fa6be8a4284a3814dfb97f2d2a18fb","target":"graph","created_at":"2026-07-13T01:20:22Z","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/2607.09599/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Imaginary-time evolution (ITE) is a powerful method for ground-state preparation of a given Hamiltonian. The normalized ITE can be viewed as a gradient flow of the energy expectation value with respect to the Fubini--Study metric. In this work, we propose a generalized nonlinear imaginary-time evolution (NITE) for more general quantum state-preparation tasks. We further present a hardware-efficient variational implementation of NITE and reveal its connection to quantum natural gradient descent. NITE is applied to several subroutine tasks, including variance minimization in variational eigensol","authors_text":"Chenyu Shi, Hao Wang, Jin-Fu Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-10T16:54:39Z","title":"Generalized Nonlinear Imaginary-Time Evolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.09599","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":"sha256:9134e79065ed518c800ab3155e83352fba4de98099a38754ac077cd6377e1964","target":"record","created_at":"2026-07-13T01:20:22Z","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":"10d6867941a9360236170fa2d0dc9cf0123a24d70ebe2477a7dc4ce2ace76a43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-10T16:54:39Z","title_canon_sha256":"a2814b33b331758dabea68ff19cc6d77e71764535edd0c90a215ae61c3b99136"},"schema_version":"1.0","source":{"id":"2607.09599","kind":"arxiv","version":1}},"canonical_sha256":"5be3347363a9f742df1dafa628109763cf7953f82edc7177af2f76a0507fb1ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5be3347363a9f742df1dafa628109763cf7953f82edc7177af2f76a0507fb1ac","first_computed_at":"2026-07-13T01:20:22.979689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-13T01:20:22.979689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9pySfThiQqllkvQEqznDxyOC24obCo0mjwCHn9995NPF4l7DClgbH7JdZv0cCzmUX04w8EVoloYuB0TtijoNAw==","signature_status":"signed_v1","signed_at":"2026-07-13T01:20:22.980791Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.09599","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9134e79065ed518c800ab3155e83352fba4de98099a38754ac077cd6377e1964","sha256:68689d7ab53e520f8940e1e1947d956d94fa6be8a4284a3814dfb97f2d2a18fb"],"state_sha256":"a05d13b356c7479833d34028abce374453ea8f1546b5fd8506c4ec5dd789aaa6"}