{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OOHHUTBPMOQZPNGRLIEKMHZO3V","short_pith_number":"pith:OOHHUTBP","canonical_record":{"source":{"id":"1805.06377","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-05-16T15:44:03Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"9d12299ecc0f6b7cd8c9252b81dc35004a05f24f1e3a8ff9adc8d562d943caa3","abstract_canon_sha256":"35d6bfb325e51f85ba92248a29037d2305d05dae0fcadc44ddb56777cf8b2187"},"schema_version":"1.0"},"canonical_sha256":"738e7a4c2f63a197b4d15a08a61f2edd42191470bbc625f20e20bb41fd4e785f","source":{"kind":"arxiv","id":"1805.06377","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.06377","created_at":"2026-05-18T00:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"1805.06377v2","created_at":"2026-05-18T00:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.06377","created_at":"2026-05-18T00:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"OOHHUTBPMOQZ","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OOHHUTBPMOQZPNGR","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OOHHUTBP","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OOHHUTBPMOQZPNGRLIEKMHZO3V","target":"record","payload":{"canonical_record":{"source":{"id":"1805.06377","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-05-16T15:44:03Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"9d12299ecc0f6b7cd8c9252b81dc35004a05f24f1e3a8ff9adc8d562d943caa3","abstract_canon_sha256":"35d6bfb325e51f85ba92248a29037d2305d05dae0fcadc44ddb56777cf8b2187"},"schema_version":"1.0"},"canonical_sha256":"738e7a4c2f63a197b4d15a08a61f2edd42191470bbc625f20e20bb41fd4e785f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:04.943719Z","signature_b64":"GeEKDUt4EOBfNFfcVYHJ+CbZjXrjpKUxY4XBx+Ub+2UCQo40FweTlvyYQ0yKPd381uJhyP11a0SWmmSvex7EAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"738e7a4c2f63a197b4d15a08a61f2edd42191470bbc625f20e20bb41fd4e785f","last_reissued_at":"2026-05-18T00:05:04.943078Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:04.943078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.06377","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":"2026-05-18T00:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I2kjeUF5FdrdcpgeoO7gw1lNQWrX8G79d4LdNWbehBuAyXfc++C8kxui4C1tEIN8dBCK+axhqUXCvwLvkFsLAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:22:34.850001Z"},"content_sha256":"90f59bc41fd26f6a50986125b69d8c410f5212962c902f04aea6962defb74aff","schema_version":"1.0","event_id":"sha256:90f59bc41fd26f6a50986125b69d8c410f5212962c902f04aea6962defb74aff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OOHHUTBPMOQZPNGRLIEKMHZO3V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Many-Body Quantum Interference and the Saturation of Out-of-Time-Order Correlators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Josef Rammensee, Juan-Diego Urbina, Klaus Richter","submitted_at":"2018-05-16T15:44:03Z","abstract_excerpt":"Out-of-time-order correlators (OTOCs) have been proposed as sensitive probes for chaos in interacting quantum systems. They exhibit a characteristic classical exponential growth, but saturate beyond the so-called scrambling or Ehrenfest time $\\tau_{\\rm E}$ in the quantum correlated regime. Here we present a path-integral approach for the entire time evolution of OTOCs for bosonic $N$-particle systems. We first show how the growth of OTOCs up to $\\tau_{\\rm E} = (1/\\lambda) \\log N$ is related to the Lyapunov exponent $\\lambda$ of the corresponding chaotic mean-field dynamics in the semiclassical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06377","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":""},"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":"2026-05-18T00:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CImVdL+BBKXeXc+wyzw+Vz4AJwZ58U9dzKogoRKjc5XzsSG0u7b+y3kmWWKA1YrIxKLr5b1GWAZNb0c7m4VrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:22:34.850373Z"},"content_sha256":"6267a73d337a85bd0cb8a12c2369b97b389e7b101bc4b4d376823f8fcc34ee18","schema_version":"1.0","event_id":"sha256:6267a73d337a85bd0cb8a12c2369b97b389e7b101bc4b4d376823f8fcc34ee18"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OOHHUTBPMOQZPNGRLIEKMHZO3V/bundle.json","state_url":"https://pith.science/pith/OOHHUTBPMOQZPNGRLIEKMHZO3V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OOHHUTBPMOQZPNGRLIEKMHZO3V/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":"2026-05-28T10:22:34Z","links":{"resolver":"https://pith.science/pith/OOHHUTBPMOQZPNGRLIEKMHZO3V","bundle":"https://pith.science/pith/OOHHUTBPMOQZPNGRLIEKMHZO3V/bundle.json","state":"https://pith.science/pith/OOHHUTBPMOQZPNGRLIEKMHZO3V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OOHHUTBPMOQZPNGRLIEKMHZO3V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OOHHUTBPMOQZPNGRLIEKMHZO3V","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":"35d6bfb325e51f85ba92248a29037d2305d05dae0fcadc44ddb56777cf8b2187","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-05-16T15:44:03Z","title_canon_sha256":"9d12299ecc0f6b7cd8c9252b81dc35004a05f24f1e3a8ff9adc8d562d943caa3"},"schema_version":"1.0","source":{"id":"1805.06377","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.06377","created_at":"2026-05-18T00:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"1805.06377v2","created_at":"2026-05-18T00:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.06377","created_at":"2026-05-18T00:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"OOHHUTBPMOQZ","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OOHHUTBPMOQZPNGR","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OOHHUTBP","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:6267a73d337a85bd0cb8a12c2369b97b389e7b101bc4b4d376823f8fcc34ee18","target":"graph","created_at":"2026-05-18T00:05:04Z","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":"Out-of-time-order correlators (OTOCs) have been proposed as sensitive probes for chaos in interacting quantum systems. They exhibit a characteristic classical exponential growth, but saturate beyond the so-called scrambling or Ehrenfest time $\\tau_{\\rm E}$ in the quantum correlated regime. Here we present a path-integral approach for the entire time evolution of OTOCs for bosonic $N$-particle systems. We first show how the growth of OTOCs up to $\\tau_{\\rm E} = (1/\\lambda) \\log N$ is related to the Lyapunov exponent $\\lambda$ of the corresponding chaotic mean-field dynamics in the semiclassical","authors_text":"Josef Rammensee, Juan-Diego Urbina, Klaus Richter","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-05-16T15:44:03Z","title":"Many-Body Quantum Interference and the Saturation of Out-of-Time-Order Correlators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06377","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":"sha256:90f59bc41fd26f6a50986125b69d8c410f5212962c902f04aea6962defb74aff","target":"record","created_at":"2026-05-18T00:05:04Z","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":"35d6bfb325e51f85ba92248a29037d2305d05dae0fcadc44ddb56777cf8b2187","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-05-16T15:44:03Z","title_canon_sha256":"9d12299ecc0f6b7cd8c9252b81dc35004a05f24f1e3a8ff9adc8d562d943caa3"},"schema_version":"1.0","source":{"id":"1805.06377","kind":"arxiv","version":2}},"canonical_sha256":"738e7a4c2f63a197b4d15a08a61f2edd42191470bbc625f20e20bb41fd4e785f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"738e7a4c2f63a197b4d15a08a61f2edd42191470bbc625f20e20bb41fd4e785f","first_computed_at":"2026-05-18T00:05:04.943078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:04.943078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GeEKDUt4EOBfNFfcVYHJ+CbZjXrjpKUxY4XBx+Ub+2UCQo40FweTlvyYQ0yKPd381uJhyP11a0SWmmSvex7EAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:04.943719Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.06377","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90f59bc41fd26f6a50986125b69d8c410f5212962c902f04aea6962defb74aff","sha256:6267a73d337a85bd0cb8a12c2369b97b389e7b101bc4b4d376823f8fcc34ee18"],"state_sha256":"bf9c43ec8ceedb7b0f7b83ceaedf0578059bf04732cfabdc25029edb5d54d174"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HDlYsiOm9/f9tejtSY8WrBQ+lV7QKpbjh628pQS09fho3kqLaVEQVPLF5eoTwX8T3u7Fx5TwOCRSgNTRCuh7Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:22:34.852413Z","bundle_sha256":"e2eb97dcd35222510160c858edab110e614ed365cd2227634aa44be61c3cd34c"}}