{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CSUHTP27CJG3BDSQJLT3GIHOO4","short_pith_number":"pith:CSUHTP27","canonical_record":{"source":{"id":"1711.05556","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-15T13:14:40Z","cross_cats_sorted":["hep-lat","quant-ph"],"title_canon_sha256":"b9d416b32501daad936630afaf9562587dfb61158a3d13344d67015e3ff922cf","abstract_canon_sha256":"187b84d44c0cc027b23efd86ad910b6d67e7b135bbb7e9dcad3db73f1c32bfa7"},"schema_version":"1.0"},"canonical_sha256":"14a879bf5f124db08e504ae7b320ee7725d30862ece369e601677e459e36c7ac","source":{"kind":"arxiv","id":"1711.05556","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05556","created_at":"2026-05-18T00:19:56Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05556v1","created_at":"2026-05-18T00:19:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05556","created_at":"2026-05-18T00:19:56Z"},{"alias_kind":"pith_short_12","alias_value":"CSUHTP27CJG3","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CSUHTP27CJG3BDSQ","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CSUHTP27","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CSUHTP27CJG3BDSQJLT3GIHOO4","target":"record","payload":{"canonical_record":{"source":{"id":"1711.05556","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-15T13:14:40Z","cross_cats_sorted":["hep-lat","quant-ph"],"title_canon_sha256":"b9d416b32501daad936630afaf9562587dfb61158a3d13344d67015e3ff922cf","abstract_canon_sha256":"187b84d44c0cc027b23efd86ad910b6d67e7b135bbb7e9dcad3db73f1c32bfa7"},"schema_version":"1.0"},"canonical_sha256":"14a879bf5f124db08e504ae7b320ee7725d30862ece369e601677e459e36c7ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:56.781641Z","signature_b64":"Ky5dCVjtGgg05NxzSpMvW+NKz9Bo1mOBitNK3rPVp/eN5/iTFdSvtFNK7wRpNR4Lha6dGOc3CtOnvBXioWF8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"14a879bf5f124db08e504ae7b320ee7725d30862ece369e601677e459e36c7ac","last_reissued_at":"2026-05-18T00:19:56.780943Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:56.780943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.05556","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:19:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ru0lm5xfLKCvPmR3vtOPsworHiH/qDYbN83I3IS2zMuRVyV937ykZbhTIPHu5pTTLsWTOQJa5DSKlZa+MdqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T08:51:27.401782Z"},"content_sha256":"9e57ec565129b2c300525d8b461a7fbee5fc926a311d395fbb5e28d5bd64b6b5","schema_version":"1.0","event_id":"sha256:9e57ec565129b2c300525d8b461a7fbee5fc926a311d395fbb5e28d5bd64b6b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CSUHTP27CJG3BDSQJLT3GIHOO4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Real-time dynamics of matrix quantum mechanics beyond the classical approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","quant-ph"],"primary_cat":"hep-th","authors_text":"Andreas Sch\\\"afer, Masanori Hanada, Pavel Buividovich","submitted_at":"2017-11-15T13:14:40Z","abstract_excerpt":"We describe a numerical method which allows us to go beyond the classical approximation for the real-time dynamics of many-body systems by approximating the many-body Wigner function by the most general Gaussian function with time-dependent mean and dispersion. On a simple example of a classically chaotic system with two degrees of freedom we demonstrate that this Gaussian state approximation is accurate for significantly smaller field strengths and longer times than the classical one. Applying this approximation to matrix quantum mechanics, we demonstrate that the quantum Lyapunov exponents a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05556","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:19:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cU5lh1b+Tr8rMwgS4IPVC7HxKkJqpgEIMEXuNkDYUY5lN2CkojHAUNKSiU+fXuYqMw5HTU6IMH5r5AVHkBQrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T08:51:27.402464Z"},"content_sha256":"8099de7c331fdb8e588ae355e71b7cd38dd8668ed0908b4cd9367073b7df1cbe","schema_version":"1.0","event_id":"sha256:8099de7c331fdb8e588ae355e71b7cd38dd8668ed0908b4cd9367073b7df1cbe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CSUHTP27CJG3BDSQJLT3GIHOO4/bundle.json","state_url":"https://pith.science/pith/CSUHTP27CJG3BDSQJLT3GIHOO4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CSUHTP27CJG3BDSQJLT3GIHOO4/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":"2026-05-23T08:51:27Z","links":{"resolver":"https://pith.science/pith/CSUHTP27CJG3BDSQJLT3GIHOO4","bundle":"https://pith.science/pith/CSUHTP27CJG3BDSQJLT3GIHOO4/bundle.json","state":"https://pith.science/pith/CSUHTP27CJG3BDSQJLT3GIHOO4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CSUHTP27CJG3BDSQJLT3GIHOO4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CSUHTP27CJG3BDSQJLT3GIHOO4","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":"187b84d44c0cc027b23efd86ad910b6d67e7b135bbb7e9dcad3db73f1c32bfa7","cross_cats_sorted":["hep-lat","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-15T13:14:40Z","title_canon_sha256":"b9d416b32501daad936630afaf9562587dfb61158a3d13344d67015e3ff922cf"},"schema_version":"1.0","source":{"id":"1711.05556","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05556","created_at":"2026-05-18T00:19:56Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05556v1","created_at":"2026-05-18T00:19:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05556","created_at":"2026-05-18T00:19:56Z"},{"alias_kind":"pith_short_12","alias_value":"CSUHTP27CJG3","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CSUHTP27CJG3BDSQ","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CSUHTP27","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:8099de7c331fdb8e588ae355e71b7cd38dd8668ed0908b4cd9367073b7df1cbe","target":"graph","created_at":"2026-05-18T00:19:56Z","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"},"paper":{"abstract_excerpt":"We describe a numerical method which allows us to go beyond the classical approximation for the real-time dynamics of many-body systems by approximating the many-body Wigner function by the most general Gaussian function with time-dependent mean and dispersion. On a simple example of a classically chaotic system with two degrees of freedom we demonstrate that this Gaussian state approximation is accurate for significantly smaller field strengths and longer times than the classical one. Applying this approximation to matrix quantum mechanics, we demonstrate that the quantum Lyapunov exponents a","authors_text":"Andreas Sch\\\"afer, Masanori Hanada, Pavel Buividovich","cross_cats":["hep-lat","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-15T13:14:40Z","title":"Real-time dynamics of matrix quantum mechanics beyond the classical approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05556","kind":"arxiv","version":1},"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":"sha256:9e57ec565129b2c300525d8b461a7fbee5fc926a311d395fbb5e28d5bd64b6b5","target":"record","created_at":"2026-05-18T00:19:56Z","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":"187b84d44c0cc027b23efd86ad910b6d67e7b135bbb7e9dcad3db73f1c32bfa7","cross_cats_sorted":["hep-lat","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-15T13:14:40Z","title_canon_sha256":"b9d416b32501daad936630afaf9562587dfb61158a3d13344d67015e3ff922cf"},"schema_version":"1.0","source":{"id":"1711.05556","kind":"arxiv","version":1}},"canonical_sha256":"14a879bf5f124db08e504ae7b320ee7725d30862ece369e601677e459e36c7ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14a879bf5f124db08e504ae7b320ee7725d30862ece369e601677e459e36c7ac","first_computed_at":"2026-05-18T00:19:56.780943Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:56.780943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ky5dCVjtGgg05NxzSpMvW+NKz9Bo1mOBitNK3rPVp/eN5/iTFdSvtFNK7wRpNR4Lha6dGOc3CtOnvBXioWF8Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:56.781641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.05556","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e57ec565129b2c300525d8b461a7fbee5fc926a311d395fbb5e28d5bd64b6b5","sha256:8099de7c331fdb8e588ae355e71b7cd38dd8668ed0908b4cd9367073b7df1cbe"],"state_sha256":"aab8512fb641c3d9ffdabe865ca40df9d26e4e7c034abc7f0078a28e0573568f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wXgy0A1RZWMYGsB0wQCYUzNcQoTjX02eoRiDqzqiJkT1u95DraODer+t8oftwuITgr7QzYpjowA3v2XBsCtaDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T08:51:27.406668Z","bundle_sha256":"2d3a03cc2b0fe2babafb87feffdbc6c41f47b99191fcd3dcdbd887729c0c957f"}}