{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:GCRCDTFELIGMAG5CGXBIQGPEMJ","short_pith_number":"pith:GCRCDTFE","canonical_record":{"source":{"id":"1607.01652","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-06T14:59:12Z","cross_cats_sorted":[],"title_canon_sha256":"8fbe56bb6f6c86b17310459deb51c5a9a43a7397bb08861c4e6eaae65be5d6be","abstract_canon_sha256":"65bf7157128f92b4ece0c98576b5e6275ca83299a7aac30fc31dc47aa98f6a39"},"schema_version":"1.0"},"canonical_sha256":"30a221cca45a0cc01ba235c28819e46277dbfd93af5d313c6419ea20269af13e","source":{"kind":"arxiv","id":"1607.01652","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01652","created_at":"2026-05-18T01:00:45Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01652v1","created_at":"2026-05-18T01:00:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01652","created_at":"2026-05-18T01:00:45Z"},{"alias_kind":"pith_short_12","alias_value":"GCRCDTFELIGM","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GCRCDTFELIGMAG5C","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GCRCDTFE","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:GCRCDTFELIGMAG5CGXBIQGPEMJ","target":"record","payload":{"canonical_record":{"source":{"id":"1607.01652","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-06T14:59:12Z","cross_cats_sorted":[],"title_canon_sha256":"8fbe56bb6f6c86b17310459deb51c5a9a43a7397bb08861c4e6eaae65be5d6be","abstract_canon_sha256":"65bf7157128f92b4ece0c98576b5e6275ca83299a7aac30fc31dc47aa98f6a39"},"schema_version":"1.0"},"canonical_sha256":"30a221cca45a0cc01ba235c28819e46277dbfd93af5d313c6419ea20269af13e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:45.349597Z","signature_b64":"kMxPVMlROKGGR3K+5Bdq1EFpamz4/GBIrFwixoeKaVk3kn7eVab86u0nYdvUYbtttXQH6q/2jSvAglo2StPSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30a221cca45a0cc01ba235c28819e46277dbfd93af5d313c6419ea20269af13e","last_reissued_at":"2026-05-18T01:00:45.349194Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:45.349194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.01652","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":"2026-05-18T01:00:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aqjcXHGNDv6Wp5ho8Ye+lkR3LAGLbvrf8wjR7PF/KiSHmSWRz84jEQ4y+LiossggtmL/LWshq0H8qVuGPoBPBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T06:02:07.229970Z"},"content_sha256":"0ccbcaf5335136803218e0401fc1d295b32e6f5bdd465670174bbc1d29362ad7","schema_version":"1.0","event_id":"sha256:0ccbcaf5335136803218e0401fc1d295b32e6f5bdd465670174bbc1d29362ad7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:GCRCDTFELIGMAG5CGXBIQGPEMJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parametric amplification of light in a cavity with a moving dielectric membrane: Landau-Zener problem for the Maxwell field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. H. J. O'Dell, F. Hasan","submitted_at":"2016-07-06T14:59:12Z","abstract_excerpt":"We perform a theoretical investigation into the classical and quantum dynamics of an optical field in a cavity containing a moving membrane (\"membrane-in-the-middle\" set-up). Our approach is based on the Maxwell wave equation, and complements previous studies based on an effective Hamiltonian. The analysis shows that for slowly moving and weakly reflective membranes the dynamics can be approximated by unitary, first-order-in-time evolution given by an effective Schr\\\"{o}dinger-like equation with a Hamiltonian that does not depend on the membrane speed. This approximate theory is the one typica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01652","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":"2026-05-18T01:00:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o6aVHs2Rc7smj41nqrqWnzzMds63+83WtaTBix1j+Bs6f/U2qZvAHfPnGqnkR732EytWDe/S5UX7Ebl+wkkCDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T06:02:07.230642Z"},"content_sha256":"cd1192e15d7431554f1f01e9abe4ffc8fee7cbadaadb3318b406c400ee1ce36d","schema_version":"1.0","event_id":"sha256:cd1192e15d7431554f1f01e9abe4ffc8fee7cbadaadb3318b406c400ee1ce36d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GCRCDTFELIGMAG5CGXBIQGPEMJ/bundle.json","state_url":"https://pith.science/pith/GCRCDTFELIGMAG5CGXBIQGPEMJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GCRCDTFELIGMAG5CGXBIQGPEMJ/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":"2026-05-24T06:02:07Z","links":{"resolver":"https://pith.science/pith/GCRCDTFELIGMAG5CGXBIQGPEMJ","bundle":"https://pith.science/pith/GCRCDTFELIGMAG5CGXBIQGPEMJ/bundle.json","state":"https://pith.science/pith/GCRCDTFELIGMAG5CGXBIQGPEMJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GCRCDTFELIGMAG5CGXBIQGPEMJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GCRCDTFELIGMAG5CGXBIQGPEMJ","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":"65bf7157128f92b4ece0c98576b5e6275ca83299a7aac30fc31dc47aa98f6a39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-06T14:59:12Z","title_canon_sha256":"8fbe56bb6f6c86b17310459deb51c5a9a43a7397bb08861c4e6eaae65be5d6be"},"schema_version":"1.0","source":{"id":"1607.01652","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01652","created_at":"2026-05-18T01:00:45Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01652v1","created_at":"2026-05-18T01:00:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01652","created_at":"2026-05-18T01:00:45Z"},{"alias_kind":"pith_short_12","alias_value":"GCRCDTFELIGM","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GCRCDTFELIGMAG5C","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GCRCDTFE","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:cd1192e15d7431554f1f01e9abe4ffc8fee7cbadaadb3318b406c400ee1ce36d","target":"graph","created_at":"2026-05-18T01:00:45Z","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 perform a theoretical investigation into the classical and quantum dynamics of an optical field in a cavity containing a moving membrane (\"membrane-in-the-middle\" set-up). Our approach is based on the Maxwell wave equation, and complements previous studies based on an effective Hamiltonian. The analysis shows that for slowly moving and weakly reflective membranes the dynamics can be approximated by unitary, first-order-in-time evolution given by an effective Schr\\\"{o}dinger-like equation with a Hamiltonian that does not depend on the membrane speed. This approximate theory is the one typica","authors_text":"D. H. J. O'Dell, F. Hasan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-06T14:59:12Z","title":"Parametric amplification of light in a cavity with a moving dielectric membrane: Landau-Zener problem for the Maxwell field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01652","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":"sha256:0ccbcaf5335136803218e0401fc1d295b32e6f5bdd465670174bbc1d29362ad7","target":"record","created_at":"2026-05-18T01:00:45Z","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":"65bf7157128f92b4ece0c98576b5e6275ca83299a7aac30fc31dc47aa98f6a39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-07-06T14:59:12Z","title_canon_sha256":"8fbe56bb6f6c86b17310459deb51c5a9a43a7397bb08861c4e6eaae65be5d6be"},"schema_version":"1.0","source":{"id":"1607.01652","kind":"arxiv","version":1}},"canonical_sha256":"30a221cca45a0cc01ba235c28819e46277dbfd93af5d313c6419ea20269af13e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30a221cca45a0cc01ba235c28819e46277dbfd93af5d313c6419ea20269af13e","first_computed_at":"2026-05-18T01:00:45.349194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:45.349194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kMxPVMlROKGGR3K+5Bdq1EFpamz4/GBIrFwixoeKaVk3kn7eVab86u0nYdvUYbtttXQH6q/2jSvAglo2StPSBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:45.349597Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.01652","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ccbcaf5335136803218e0401fc1d295b32e6f5bdd465670174bbc1d29362ad7","sha256:cd1192e15d7431554f1f01e9abe4ffc8fee7cbadaadb3318b406c400ee1ce36d"],"state_sha256":"43c1f0d993b11705b4c96a456088065e6e6c1e220716ed4dae6208c858727d9f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LF46Y6n1p6EVcZ3kgCckANYkjCP8eIO+lpQaEwaM7YHLFER1zPrR2hAWoZSoF1Pr6mzK0vHTCca9QCVL+4UTCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T06:02:07.234371Z","bundle_sha256":"93349311064b42eaa56d8d1bea33a9c49d3d651e50999a69271871ae816afb4e"}}