{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:HEJQJ73TGJOWPOHKTPQD4QLR7Q","short_pith_number":"pith:HEJQJ73T","canonical_record":{"source":{"id":"2011.04705","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-11-09T19:33:57Z","cross_cats_sorted":["nlin.CD","quant-ph"],"title_canon_sha256":"c2ad1dc2e9236f8a601db961afbdde6221e6a1d7378a44808a0c459241c7a20e","abstract_canon_sha256":"8093b3bead52c415e7203e2e21c8dbc4edbe31657cb8b145c44132a38c6b289c"},"schema_version":"1.0"},"canonical_sha256":"391304ff73325d67b8ea9be03e4171fc1de059a5f4ed2ac11d2434c4bd8feb6f","source":{"kind":"arxiv","id":"2011.04705","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.04705","created_at":"2026-07-05T03:23:37Z"},{"alias_kind":"arxiv_version","alias_value":"2011.04705v2","created_at":"2026-07-05T03:23:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.04705","created_at":"2026-07-05T03:23:37Z"},{"alias_kind":"pith_short_12","alias_value":"HEJQJ73TGJOW","created_at":"2026-07-05T03:23:37Z"},{"alias_kind":"pith_short_16","alias_value":"HEJQJ73TGJOWPOHK","created_at":"2026-07-05T03:23:37Z"},{"alias_kind":"pith_short_8","alias_value":"HEJQJ73T","created_at":"2026-07-05T03:23:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:HEJQJ73TGJOWPOHKTPQD4QLR7Q","target":"record","payload":{"canonical_record":{"source":{"id":"2011.04705","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-11-09T19:33:57Z","cross_cats_sorted":["nlin.CD","quant-ph"],"title_canon_sha256":"c2ad1dc2e9236f8a601db961afbdde6221e6a1d7378a44808a0c459241c7a20e","abstract_canon_sha256":"8093b3bead52c415e7203e2e21c8dbc4edbe31657cb8b145c44132a38c6b289c"},"schema_version":"1.0"},"canonical_sha256":"391304ff73325d67b8ea9be03e4171fc1de059a5f4ed2ac11d2434c4bd8feb6f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:23:37.710936Z","signature_b64":"moKYnG59VOmjIR9+C/ORWcPV1hP8e5PMbC4q3KX4xo6zK/JA5+2QneB/eDnevBhocsoQQnEzf6K9UwdSufUwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"391304ff73325d67b8ea9be03e4171fc1de059a5f4ed2ac11d2434c4bd8feb6f","last_reissued_at":"2026-07-05T03:23:37.710480Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:23:37.710480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2011.04705","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:23:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hni9ywjNg4ihSqlRTW73q3n55PWq9Kn6KPTf42lK3jMvC6yMMx2Z6zPBVBS2aRhAXhX2yg8yFjGbauPMPioLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T04:02:02.178136Z"},"content_sha256":"8804a33277709d6887c9cbbc3eeb12156d29bca0bc6a0e1f52d6f424a733a585","schema_version":"1.0","event_id":"sha256:8804a33277709d6887c9cbbc3eeb12156d29bca0bc6a0e1f52d6f424a733a585"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:HEJQJ73TGJOWPOHKTPQD4QLR7Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","quant-ph"],"primary_cat":"hep-th","authors_text":"Arpan Bhattacharyya, Eugene H. Kim, S. Shajidul Haque","submitted_at":"2020-11-09T19:33:57Z","abstract_excerpt":"We investigate circuit complexity to characterize chaos in multiparticle quantum systems. In the process, we take a stride to analyze open quantum systems by using complexity. We propose a new diagnostic of quantum chaos from complexity based on the reduced density matrix by exploring different types of quantum circuits. Through explicit calculations on a toy model of two coupled harmonic oscillators, where one or both of the oscillators are inverted, we demonstrate that the evolution of complexity is a possible diagnostic of chaos."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.04705","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2011.04705/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:23:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PbM0NJrCXGByZWxMFrh1vLHNLcoW27EGsVpW8//BeAPz3cDiWMBjuPsuQe57+YYhQTn2wldWCT0Ais0sh5RcCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T04:02:02.178670Z"},"content_sha256":"af9bd3ddb5b374f8ec5fc24bd11e6034f04484de6667467ecf9056385fa357ef","schema_version":"1.0","event_id":"sha256:af9bd3ddb5b374f8ec5fc24bd11e6034f04484de6667467ecf9056385fa357ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HEJQJ73TGJOWPOHKTPQD4QLR7Q/bundle.json","state_url":"https://pith.science/pith/HEJQJ73TGJOWPOHKTPQD4QLR7Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HEJQJ73TGJOWPOHKTPQD4QLR7Q/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-09T04:02:02Z","links":{"resolver":"https://pith.science/pith/HEJQJ73TGJOWPOHKTPQD4QLR7Q","bundle":"https://pith.science/pith/HEJQJ73TGJOWPOHKTPQD4QLR7Q/bundle.json","state":"https://pith.science/pith/HEJQJ73TGJOWPOHKTPQD4QLR7Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HEJQJ73TGJOWPOHKTPQD4QLR7Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:HEJQJ73TGJOWPOHKTPQD4QLR7Q","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":"8093b3bead52c415e7203e2e21c8dbc4edbe31657cb8b145c44132a38c6b289c","cross_cats_sorted":["nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-11-09T19:33:57Z","title_canon_sha256":"c2ad1dc2e9236f8a601db961afbdde6221e6a1d7378a44808a0c459241c7a20e"},"schema_version":"1.0","source":{"id":"2011.04705","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.04705","created_at":"2026-07-05T03:23:37Z"},{"alias_kind":"arxiv_version","alias_value":"2011.04705v2","created_at":"2026-07-05T03:23:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.04705","created_at":"2026-07-05T03:23:37Z"},{"alias_kind":"pith_short_12","alias_value":"HEJQJ73TGJOW","created_at":"2026-07-05T03:23:37Z"},{"alias_kind":"pith_short_16","alias_value":"HEJQJ73TGJOWPOHK","created_at":"2026-07-05T03:23:37Z"},{"alias_kind":"pith_short_8","alias_value":"HEJQJ73T","created_at":"2026-07-05T03:23:37Z"}],"graph_snapshots":[{"event_id":"sha256:af9bd3ddb5b374f8ec5fc24bd11e6034f04484de6667467ecf9056385fa357ef","target":"graph","created_at":"2026-07-05T03:23:37Z","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/2011.04705/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate circuit complexity to characterize chaos in multiparticle quantum systems. In the process, we take a stride to analyze open quantum systems by using complexity. We propose a new diagnostic of quantum chaos from complexity based on the reduced density matrix by exploring different types of quantum circuits. Through explicit calculations on a toy model of two coupled harmonic oscillators, where one or both of the oscillators are inverted, we demonstrate that the evolution of complexity is a possible diagnostic of chaos.","authors_text":"Arpan Bhattacharyya, Eugene H. Kim, S. Shajidul Haque","cross_cats":["nlin.CD","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-11-09T19:33:57Z","title":"Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.04705","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":"sha256:8804a33277709d6887c9cbbc3eeb12156d29bca0bc6a0e1f52d6f424a733a585","target":"record","created_at":"2026-07-05T03:23:37Z","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":"8093b3bead52c415e7203e2e21c8dbc4edbe31657cb8b145c44132a38c6b289c","cross_cats_sorted":["nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-11-09T19:33:57Z","title_canon_sha256":"c2ad1dc2e9236f8a601db961afbdde6221e6a1d7378a44808a0c459241c7a20e"},"schema_version":"1.0","source":{"id":"2011.04705","kind":"arxiv","version":2}},"canonical_sha256":"391304ff73325d67b8ea9be03e4171fc1de059a5f4ed2ac11d2434c4bd8feb6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"391304ff73325d67b8ea9be03e4171fc1de059a5f4ed2ac11d2434c4bd8feb6f","first_computed_at":"2026-07-05T03:23:37.710480Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:23:37.710480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"moKYnG59VOmjIR9+C/ORWcPV1hP8e5PMbC4q3KX4xo6zK/JA5+2QneB/eDnevBhocsoQQnEzf6K9UwdSufUwAg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:23:37.710936Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.04705","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8804a33277709d6887c9cbbc3eeb12156d29bca0bc6a0e1f52d6f424a733a585","sha256:af9bd3ddb5b374f8ec5fc24bd11e6034f04484de6667467ecf9056385fa357ef"],"state_sha256":"c35fc6c2e10b5b00b9308420de4ac9f5f1ea9fe93d0dd127c24bb6e7369489e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OlzWyQjeuxe6LyxGZqyFYnE1i9GBYx+C5kA7mqzwOH61NDSo3KCVHxA61wQt+JvhSdhSLUAwq6ZhJ8x3Wq94AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T04:02:02.182992Z","bundle_sha256":"b7d2c7f5268b18b3ca9c666552a8347ba3e9d540be4b771507623e9aa9a0ec7d"}}