{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LU6BUGN7UGW3SK7YRMKJHUWW3C","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":"570ea14c9aa6dab85769c6f7c0b6af74a69f31dc04ceb88707443ee03f7cbebc","cross_cats_sorted":["cond-mat.mes-hall","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-12T07:44:16Z","title_canon_sha256":"81ce6cfcd18ae5073d9d5f3b0f401b5732249728007bd3838a3431246d77a7f2"},"schema_version":"1.0","source":{"id":"2606.14208","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.14208","created_at":"2026-06-23T03:13:59Z"},{"alias_kind":"arxiv_version","alias_value":"2606.14208v2","created_at":"2026-06-23T03:13:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.14208","created_at":"2026-06-23T03:13:59Z"},{"alias_kind":"pith_short_12","alias_value":"LU6BUGN7UGW3","created_at":"2026-06-23T03:13:59Z"},{"alias_kind":"pith_short_16","alias_value":"LU6BUGN7UGW3SK7Y","created_at":"2026-06-23T03:13:59Z"},{"alias_kind":"pith_short_8","alias_value":"LU6BUGN7","created_at":"2026-06-23T03:13:59Z"}],"graph_snapshots":[{"event_id":"sha256:fd756c7db776d3e549337bca8dbfd2fff26249415d12423ab575d4f6cc829676","target":"graph","created_at":"2026-06-23T03:13:59Z","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/2606.14208/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Pseudo entropy is a complex-valued generalization of entanglement entropy defined from a reduced transition matrix. We study the pseudo entropy associated with a real-time transition matrix between an initial pure state and its unitary time evolution. For a subsystem $A$, we show that the short-time behavior of real-time pseudo entropy is governed by the correlation between the physical Hamiltonian $H$ and the modular Hamiltonian $K_A=-\\log\\rho_A$ of the initial reduced state, $ S_A(t,0)=S_A(0)-it \\langle K_A(H-\\langle H\\rangle)\\rangle + \\mathcal{O}(t^2)$. For Hermitian dynamics, the initial i","authors_text":"Tatsuhiro Misumi","cross_cats":["cond-mat.mes-hall","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-12T07:44:16Z","title":"Real-time pseudo entropy and modular-Hamiltonian correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.14208","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:ad362bee58d71f6a1fbfb5541ed1faebc5dc6433606f54b01fe05270eeed0403","target":"record","created_at":"2026-06-23T03:13:59Z","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":"570ea14c9aa6dab85769c6f7c0b6af74a69f31dc04ceb88707443ee03f7cbebc","cross_cats_sorted":["cond-mat.mes-hall","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-12T07:44:16Z","title_canon_sha256":"81ce6cfcd18ae5073d9d5f3b0f401b5732249728007bd3838a3431246d77a7f2"},"schema_version":"1.0","source":{"id":"2606.14208","kind":"arxiv","version":2}},"canonical_sha256":"5d3c1a19bfa1adb92bf88b1493d2d6d8a25b36e126f2c31e8eb883342eb29a38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d3c1a19bfa1adb92bf88b1493d2d6d8a25b36e126f2c31e8eb883342eb29a38","first_computed_at":"2026-06-23T03:13:59.125103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T03:13:59.125103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YKD36fPB/ymfFUYkMggXAO4oO7jpAUDl2KWsS5uUtuOYF4/K7V70jw/rmkMNgx7cwWBxfJPzd6QnHuG3LTW1Ag==","signature_status":"signed_v1","signed_at":"2026-06-23T03:13:59.125631Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.14208","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad362bee58d71f6a1fbfb5541ed1faebc5dc6433606f54b01fe05270eeed0403","sha256:fd756c7db776d3e549337bca8dbfd2fff26249415d12423ab575d4f6cc829676"],"state_sha256":"92c4b8b943c446330bb98fb36454010bacde4ef88e3558fd15e46edd44ba8b07"}