{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:GDXVZHPUFWWAPT3AYQQDPGK6FE","short_pith_number":"pith:GDXVZHPU","canonical_record":{"source":{"id":"1202.2997","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-14T11:05:39Z","cross_cats_sorted":[],"title_canon_sha256":"c81d2915c779f3b8dbade8eab823bc156985c8a084cd58222b983027769c509a","abstract_canon_sha256":"a380539f1e42e0b93a16be1dba508e6863981a51b45caac803d520f6b114fcee"},"schema_version":"1.0"},"canonical_sha256":"30ef5c9df42dac07cf60c42037995e2916a968f33e132d4a9218a4b2fc085ee4","source":{"kind":"arxiv","id":"1202.2997","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2997","created_at":"2026-05-18T03:53:43Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2997v2","created_at":"2026-05-18T03:53:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2997","created_at":"2026-05-18T03:53:43Z"},{"alias_kind":"pith_short_12","alias_value":"GDXVZHPUFWWA","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GDXVZHPUFWWAPT3A","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GDXVZHPU","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:GDXVZHPUFWWAPT3AYQQDPGK6FE","target":"record","payload":{"canonical_record":{"source":{"id":"1202.2997","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-14T11:05:39Z","cross_cats_sorted":[],"title_canon_sha256":"c81d2915c779f3b8dbade8eab823bc156985c8a084cd58222b983027769c509a","abstract_canon_sha256":"a380539f1e42e0b93a16be1dba508e6863981a51b45caac803d520f6b114fcee"},"schema_version":"1.0"},"canonical_sha256":"30ef5c9df42dac07cf60c42037995e2916a968f33e132d4a9218a4b2fc085ee4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:43.613129Z","signature_b64":"vuF5vJTDjt8/JoLbk1QHzfp830qtjAMcmm7vS/K4abzPu9Nebh0mBJL9t5YppYLvJFXJsoBZUSUIctBl8pjiAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30ef5c9df42dac07cf60c42037995e2916a968f33e132d4a9218a4b2fc085ee4","last_reissued_at":"2026-05-18T03:53:43.612639Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:43.612639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.2997","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":"2026-05-18T03:53:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MJEnbXLxau9xYg40pJy7ykys0XSBzxYzCf4dejJkCfaorlolK2vRDtDtXXMt24yYthyWtROgj/ATMV7oL8zNAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T10:39:39.668022Z"},"content_sha256":"747216b8485cc8ce04fed293fe6f5fe4c1e40326122a01e257cd76910159e7c2","schema_version":"1.0","event_id":"sha256:747216b8485cc8ce04fed293fe6f5fe4c1e40326122a01e257cd76910159e7c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:GDXVZHPUFWWAPT3AYQQDPGK6FE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Markovianity, Loschmidt echo and criticality: a unified picture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Francesco Plastina, John Goold, Pinja Haikka, Sabrina Maniscalco, Suzanne McEndoo","submitted_at":"2012-02-14T11:05:39Z","abstract_excerpt":"A simple relationship between recently proposed measures of non-Markovianity and the Loschmidt echo is established, holding for a two-level system (qubit) undergoing pure dephasing due to a coupling with a many-body environment. We show that the Loschmidt echo is intimately related to the information flowing out from and occasionally back into the system. This, in turn, determines the non-Markovianity of the reduced dynamics. In particular, we consider a central qubit coupled to a quantum Ising ring in the transverse field. In this context, the information flux between system and environment i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2997","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":"2026-05-18T03:53:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8o+rccumFHS3t9hisPV/BRc6F3JgIv7yfGndw7tBYwXHlhlnXbHXdif4LwFpokfggMU6Bbf7gm4/qKtv1TwQAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T10:39:39.668381Z"},"content_sha256":"7407cbd0d2a3e2581688cc68b565ce10eb27d88727d12a971d7d1863a686c1e5","schema_version":"1.0","event_id":"sha256:7407cbd0d2a3e2581688cc68b565ce10eb27d88727d12a971d7d1863a686c1e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GDXVZHPUFWWAPT3AYQQDPGK6FE/bundle.json","state_url":"https://pith.science/pith/GDXVZHPUFWWAPT3AYQQDPGK6FE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GDXVZHPUFWWAPT3AYQQDPGK6FE/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":"2026-05-19T10:39:39Z","links":{"resolver":"https://pith.science/pith/GDXVZHPUFWWAPT3AYQQDPGK6FE","bundle":"https://pith.science/pith/GDXVZHPUFWWAPT3AYQQDPGK6FE/bundle.json","state":"https://pith.science/pith/GDXVZHPUFWWAPT3AYQQDPGK6FE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GDXVZHPUFWWAPT3AYQQDPGK6FE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GDXVZHPUFWWAPT3AYQQDPGK6FE","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":"a380539f1e42e0b93a16be1dba508e6863981a51b45caac803d520f6b114fcee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-14T11:05:39Z","title_canon_sha256":"c81d2915c779f3b8dbade8eab823bc156985c8a084cd58222b983027769c509a"},"schema_version":"1.0","source":{"id":"1202.2997","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2997","created_at":"2026-05-18T03:53:43Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2997v2","created_at":"2026-05-18T03:53:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2997","created_at":"2026-05-18T03:53:43Z"},{"alias_kind":"pith_short_12","alias_value":"GDXVZHPUFWWA","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GDXVZHPUFWWAPT3A","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GDXVZHPU","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:7407cbd0d2a3e2581688cc68b565ce10eb27d88727d12a971d7d1863a686c1e5","target":"graph","created_at":"2026-05-18T03:53:43Z","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":"A simple relationship between recently proposed measures of non-Markovianity and the Loschmidt echo is established, holding for a two-level system (qubit) undergoing pure dephasing due to a coupling with a many-body environment. We show that the Loschmidt echo is intimately related to the information flowing out from and occasionally back into the system. This, in turn, determines the non-Markovianity of the reduced dynamics. In particular, we consider a central qubit coupled to a quantum Ising ring in the transverse field. In this context, the information flux between system and environment i","authors_text":"Francesco Plastina, John Goold, Pinja Haikka, Sabrina Maniscalco, Suzanne McEndoo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-14T11:05:39Z","title":"Non-Markovianity, Loschmidt echo and criticality: a unified picture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2997","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":"sha256:747216b8485cc8ce04fed293fe6f5fe4c1e40326122a01e257cd76910159e7c2","target":"record","created_at":"2026-05-18T03:53:43Z","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":"a380539f1e42e0b93a16be1dba508e6863981a51b45caac803d520f6b114fcee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-14T11:05:39Z","title_canon_sha256":"c81d2915c779f3b8dbade8eab823bc156985c8a084cd58222b983027769c509a"},"schema_version":"1.0","source":{"id":"1202.2997","kind":"arxiv","version":2}},"canonical_sha256":"30ef5c9df42dac07cf60c42037995e2916a968f33e132d4a9218a4b2fc085ee4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30ef5c9df42dac07cf60c42037995e2916a968f33e132d4a9218a4b2fc085ee4","first_computed_at":"2026-05-18T03:53:43.612639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:43.612639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vuF5vJTDjt8/JoLbk1QHzfp830qtjAMcmm7vS/K4abzPu9Nebh0mBJL9t5YppYLvJFXJsoBZUSUIctBl8pjiAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:43.613129Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.2997","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:747216b8485cc8ce04fed293fe6f5fe4c1e40326122a01e257cd76910159e7c2","sha256:7407cbd0d2a3e2581688cc68b565ce10eb27d88727d12a971d7d1863a686c1e5"],"state_sha256":"b0241bc70391fe6aec91903a71ca4f990f63cf1d7ff184a0d6b1052ab835ef2f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Yb2Y2ZVJj1eDxYVPSZ33ACNiMytmZ+oZLG/s7b6Yqh9fhxmZ+IF4I7AykV8VuB1kYPY1M29N87YnW3+11C2BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T10:39:39.669976Z","bundle_sha256":"85eee1481610f0fdb659a1a791994140fc3c0364ee2184a45cb490992c8e0cec"}}