{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:QORO2SPTGHCVE4SWQHSF2XNFXM","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":"da81337d09c7cd307451aa87cf358285274f2d7932a8ef461d9d3bd2a26887d9","cross_cats_sorted":["astro-ph.CO","hep-ph","hep-th","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-09-04T13:26:20Z","title_canon_sha256":"4ead11f0081c2b10f9a5ccffd67a156cfd3cc49999d6b839a9df660585b35798"},"schema_version":"1.0","source":{"id":"2309.01595","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.01595","created_at":"2026-07-05T08:21:40Z"},{"alias_kind":"arxiv_version","alias_value":"2309.01595v3","created_at":"2026-07-05T08:21:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.01595","created_at":"2026-07-05T08:21:40Z"},{"alias_kind":"pith_short_12","alias_value":"QORO2SPTGHCV","created_at":"2026-07-05T08:21:40Z"},{"alias_kind":"pith_short_16","alias_value":"QORO2SPTGHCVE4SW","created_at":"2026-07-05T08:21:40Z"},{"alias_kind":"pith_short_8","alias_value":"QORO2SPT","created_at":"2026-07-05T08:21:40Z"}],"graph_snapshots":[{"event_id":"sha256:fd51fe900635c0a1f4e5c9ff944297c6fb60dfdc08914dd53ed5680be95dbda6","target":"graph","created_at":"2026-07-05T08:21:40Z","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/2309.01595/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Complexity will be more and more essential in high-energy physics. It is naturally extended into the very early universe. Considering the universe as a quantum chaotic system, the curvature perturbation of the scalar field is identified with the two-mode squeezed state. By solving the Schr$\\ddot{o}$dinger equation, one can obtain the numerical solutions of the angle parameter and squeezing parameter. The solution of the squeezing parameter mainly determines the evolution of complexity. Our numeric indicates that the complexity of the modified dispersion relation will have a non-linear pattern ","authors_text":"Lei-Hua Liu, Tao Li","cross_cats":["astro-ph.CO","hep-ph","hep-th","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-09-04T13:26:20Z","title":"Cosmological complexity of the modified dispersion relation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.01595","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":"sha256:5a76780fd74faf967b7b4048686b69d3542bd2838c7864a57b9509943f26fda5","target":"record","created_at":"2026-07-05T08:21:40Z","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":"da81337d09c7cd307451aa87cf358285274f2d7932a8ef461d9d3bd2a26887d9","cross_cats_sorted":["astro-ph.CO","hep-ph","hep-th","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-09-04T13:26:20Z","title_canon_sha256":"4ead11f0081c2b10f9a5ccffd67a156cfd3cc49999d6b839a9df660585b35798"},"schema_version":"1.0","source":{"id":"2309.01595","kind":"arxiv","version":3}},"canonical_sha256":"83a2ed49f331c552725681e45d5da5bb19b95fb4823adf5163b3351c21c6dfa6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83a2ed49f331c552725681e45d5da5bb19b95fb4823adf5163b3351c21c6dfa6","first_computed_at":"2026-07-05T08:21:40.848284Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:21:40.848284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6yrAAr8xkNHvfC8Xgs/5p8/WpYIgAu07guUJORD930kD+T5h+qPGkt1mcOwr0oBXmWUVeKbkjB1b+ZeozyVtDA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:21:40.848730Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.01595","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a76780fd74faf967b7b4048686b69d3542bd2838c7864a57b9509943f26fda5","sha256:fd51fe900635c0a1f4e5c9ff944297c6fb60dfdc08914dd53ed5680be95dbda6"],"state_sha256":"2c849f0efdcc8dd1591e92b76f04cbc7932ce609a0eb35cf50de10717f53806e"}