{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:GGL5IFJTTZM523B3PJUOD7JK3X","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":"6a4040655c01172ca5a582baf95e0258f0e0fefc4056a38fa7a302b707fd02e9","cross_cats_sorted":["nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-19T20:41:14Z","title_canon_sha256":"00aea2187978f434e4df4a54443e8307544f47b86981e091890cf2ab215c7519"},"schema_version":"1.0","source":{"id":"2312.12593","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.12593","created_at":"2026-07-05T08:22:35Z"},{"alias_kind":"arxiv_version","alias_value":"2312.12593v3","created_at":"2026-07-05T08:22:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.12593","created_at":"2026-07-05T08:22:35Z"},{"alias_kind":"pith_short_12","alias_value":"GGL5IFJTTZM5","created_at":"2026-07-05T08:22:35Z"},{"alias_kind":"pith_short_16","alias_value":"GGL5IFJTTZM523B3","created_at":"2026-07-05T08:22:35Z"},{"alias_kind":"pith_short_8","alias_value":"GGL5IFJT","created_at":"2026-07-05T08:22:35Z"}],"graph_snapshots":[{"event_id":"sha256:527b8ba3708ac08160da0ca98e39c309877f382a5d087813078068936e320d9b","target":"graph","created_at":"2026-07-05T08:22:35Z","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/2312.12593/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, the concept of spread complexity, Krylov complexity for states, has been introduced as a measure of the complexity and chaoticity of quantum systems. In this paper, we study the spread complexity of the thermofield double state within \\emph{integrable} systems that exhibit saddle-dominated scrambling. Specifically, we focus on the Lipkin-Meshkov-Glick model and the inverted harmonic oscillator as representative examples of quantum mechanical systems featuring saddle-dominated scrambling. Applying the Lanczos algorithm, our numerical investigation reveals that the spread complexity in","authors_text":"Hyun-Sik Jeong, Juan F. Pedraza, Kyoung-Bum Huh","cross_cats":["nlin.CD","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-19T20:41:14Z","title":"Spread complexity in saddle-dominated scrambling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.12593","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":"sha256:4a9b73ed76b133cdf70262537c0ef63091c8ad93214f258da509b7a845584764","target":"record","created_at":"2026-07-05T08:22:35Z","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":"6a4040655c01172ca5a582baf95e0258f0e0fefc4056a38fa7a302b707fd02e9","cross_cats_sorted":["nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-19T20:41:14Z","title_canon_sha256":"00aea2187978f434e4df4a54443e8307544f47b86981e091890cf2ab215c7519"},"schema_version":"1.0","source":{"id":"2312.12593","kind":"arxiv","version":3}},"canonical_sha256":"3197d415339e59dd6c3b7a68e1fd2addf3e9bc2a188819053889de7dafd81d6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3197d415339e59dd6c3b7a68e1fd2addf3e9bc2a188819053889de7dafd81d6a","first_computed_at":"2026-07-05T08:22:35.667924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:22:35.667924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o2y/JfI4HgFWqItGbSwnrJgZhLfstHdaPcN7ct0Eh0PSw0SKU+2vRqGoBCSxAx3BP0IicOU4kO6qF3mFPyFyCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:22:35.668472Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.12593","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a9b73ed76b133cdf70262537c0ef63091c8ad93214f258da509b7a845584764","sha256:527b8ba3708ac08160da0ca98e39c309877f382a5d087813078068936e320d9b"],"state_sha256":"dc9e16c84ee3bfb4c830ae343e5877eaa298f7046149d2c1116522dc4c410dfe"}