{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:NA3SZCKDVA4XRPEF2LTG6T4PTT","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":"64a8bc790b16a291aa7aac9d6fd6abc37f52ee0a9b1c2dc1e65045abb2ead932","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-07-25T18:00:07Z","title_canon_sha256":"7ba09e72451de16232139e387a4e0efc37a3d73c763b60ff01ff47d7595ccf84"},"schema_version":"1.0","source":{"id":"2307.13736","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.13736","created_at":"2026-07-05T09:17:10Z"},{"alias_kind":"arxiv_version","alias_value":"2307.13736v3","created_at":"2026-07-05T09:17:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.13736","created_at":"2026-07-05T09:17:10Z"},{"alias_kind":"pith_short_12","alias_value":"NA3SZCKDVA4X","created_at":"2026-07-05T09:17:10Z"},{"alias_kind":"pith_short_16","alias_value":"NA3SZCKDVA4XRPEF","created_at":"2026-07-05T09:17:10Z"},{"alias_kind":"pith_short_8","alias_value":"NA3SZCKD","created_at":"2026-07-05T09:17:10Z"}],"graph_snapshots":[{"event_id":"sha256:bcb8a483d6360663c9cf4aeb3f1024f1e3a697b9d793a5448b03f492ab1d15f7","target":"graph","created_at":"2026-07-05T09:17:10Z","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/2307.13736/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"According to the pioneering work of Nielsen and collaborators, the length of the minimal geodesic in a geometric realization of a suitable operator space provides a measure of the quantum complexity of an operation. Compared with the original concept of complexity based on the minimal number of gates required to construct the desired operation as a product, this geometrical approach amounts to a more concrete and computable definition, but its evaluation is nontrivial in systems with a high-dimensional Hilbert space. The geometrical formulation can more easily be evaluated by considering the g","authors_text":"Jakub Mielczarek, Martin Bojowald, Satyaki Chowdhury","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-07-25T18:00:07Z","title":"Geometric quantum complexity of bosonic oscillator systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.13736","kind":"arxiv","version":3},"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":"sha256:813ec5d791057e7ed62393d0e6291f0c3c8e88d6bdcf58b29c3fdee313a3c06c","target":"record","created_at":"2026-07-05T09:17:10Z","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":"64a8bc790b16a291aa7aac9d6fd6abc37f52ee0a9b1c2dc1e65045abb2ead932","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-07-25T18:00:07Z","title_canon_sha256":"7ba09e72451de16232139e387a4e0efc37a3d73c763b60ff01ff47d7595ccf84"},"schema_version":"1.0","source":{"id":"2307.13736","kind":"arxiv","version":3}},"canonical_sha256":"68372c8943a83978bc85d2e66f4f8f9cc832570b01dce1fbf325c2b18b3d4cf1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68372c8943a83978bc85d2e66f4f8f9cc832570b01dce1fbf325c2b18b3d4cf1","first_computed_at":"2026-07-05T09:17:10.441818Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:17:10.441818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aZ1W8/8WUokMb6AypqK0or7kFx840229p/ph8zX7psLIywXgb9xFuFGe/EauWPnzBf6P+bhWXbmeijQfDKGrCA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:17:10.442287Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.13736","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:813ec5d791057e7ed62393d0e6291f0c3c8e88d6bdcf58b29c3fdee313a3c06c","sha256:bcb8a483d6360663c9cf4aeb3f1024f1e3a697b9d793a5448b03f492ab1d15f7"],"state_sha256":"2fbd6c21ffd41a7cac6280f286414a752adca0f9176c041fe2749ef68063cb3d"}