{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:Z5MQ7ALV6KIWFL4X2ATFAGMU54","short_pith_number":"pith:Z5MQ7ALV","canonical_record":{"source":{"id":"1403.1340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-03-06T04:04:20Z","cross_cats_sorted":[],"title_canon_sha256":"45a89fdf3a2ad03d4ce01b2ee8e32bff0da0cbff119a5e6cba30bf9b36097ba4","abstract_canon_sha256":"e7d1d056225f203da36da8e66fa347e2ed3affd6ee7afe9526876036e52c785f"},"schema_version":"1.0"},"canonical_sha256":"cf590f8175f29162af97d026501994ef241601e387c60697a7e195e68e583f76","source":{"kind":"arxiv","id":"1403.1340","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1340","created_at":"2026-05-18T02:56:59Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1340v1","created_at":"2026-05-18T02:56:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1340","created_at":"2026-05-18T02:56:59Z"},{"alias_kind":"pith_short_12","alias_value":"Z5MQ7ALV6KIW","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z5MQ7ALV6KIWFL4X","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z5MQ7ALV","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:Z5MQ7ALV6KIWFL4X2ATFAGMU54","target":"record","payload":{"canonical_record":{"source":{"id":"1403.1340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-03-06T04:04:20Z","cross_cats_sorted":[],"title_canon_sha256":"45a89fdf3a2ad03d4ce01b2ee8e32bff0da0cbff119a5e6cba30bf9b36097ba4","abstract_canon_sha256":"e7d1d056225f203da36da8e66fa347e2ed3affd6ee7afe9526876036e52c785f"},"schema_version":"1.0"},"canonical_sha256":"cf590f8175f29162af97d026501994ef241601e387c60697a7e195e68e583f76","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:59.225854Z","signature_b64":"ZHfgRkt5e4PEa5jUjZDWAEgcws9ZdjVBPbm+5QBjd+HhYVfAVHcJPRI59UvBzmbjV0Z1quF4l2PwRt5S3fNvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf590f8175f29162af97d026501994ef241601e387c60697a7e195e68e583f76","last_reissued_at":"2026-05-18T02:56:59.225084Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:59.225084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.1340","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":"2026-05-18T02:56:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zscTtyF/YXeMKkxItfCIl0PqfQ1bpuAXVU0NM6a12njdx4fSBNcy0+zTRss8vC1nf++/QmciKySMwsXhRq1FAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:12:07.122477Z"},"content_sha256":"38f0a23d111ddcaf253b079a49ead4a2a8d712a500def48cf691b73c63bdf8ee","schema_version":"1.0","event_id":"sha256:38f0a23d111ddcaf253b079a49ead4a2a8d712a500def48cf691b73c63bdf8ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:Z5MQ7ALV6KIWFL4X2ATFAGMU54","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Electromagnetically induced transparency and optical memories in an optomechanical system with $N$ membranes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Mankei Tsang, Sumei Huang","submitted_at":"2014-03-06T04:04:20Z","abstract_excerpt":"We study the propagation of a weak probe field through an optomechanical system in which $N$ nearly degenerate mechanical membranes are inside a Febry-Perot cavity, and couple dispersively to an intracavity field. We derive a general analytical expression for the output probe field. We show that the in-phase quadrature of the output probe field can exhibit multiple electromagnetically induced transparency with at most $N$ narrow transparency windows. We find that the superluminal light can be achieved with at most $N$ different negative group velocities at the transparency windows. Moreover, b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1340","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":"2026-05-18T02:56:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+oAGu0LgD5TWS/FPabTm7bN4bK0aXeox2Fi2Yl52B3Yix4UzE5WGMHMjv+nyrN6LoLqELAhUmIUOiZtbgFE1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:12:07.123215Z"},"content_sha256":"aeb0a920e29968abe712a1af85b7cd6b583d760aeb906ffb8e223bac93111c03","schema_version":"1.0","event_id":"sha256:aeb0a920e29968abe712a1af85b7cd6b583d760aeb906ffb8e223bac93111c03"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z5MQ7ALV6KIWFL4X2ATFAGMU54/bundle.json","state_url":"https://pith.science/pith/Z5MQ7ALV6KIWFL4X2ATFAGMU54/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z5MQ7ALV6KIWFL4X2ATFAGMU54/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":"2026-05-29T15:12:07Z","links":{"resolver":"https://pith.science/pith/Z5MQ7ALV6KIWFL4X2ATFAGMU54","bundle":"https://pith.science/pith/Z5MQ7ALV6KIWFL4X2ATFAGMU54/bundle.json","state":"https://pith.science/pith/Z5MQ7ALV6KIWFL4X2ATFAGMU54/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z5MQ7ALV6KIWFL4X2ATFAGMU54/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Z5MQ7ALV6KIWFL4X2ATFAGMU54","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":"e7d1d056225f203da36da8e66fa347e2ed3affd6ee7afe9526876036e52c785f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-03-06T04:04:20Z","title_canon_sha256":"45a89fdf3a2ad03d4ce01b2ee8e32bff0da0cbff119a5e6cba30bf9b36097ba4"},"schema_version":"1.0","source":{"id":"1403.1340","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1340","created_at":"2026-05-18T02:56:59Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1340v1","created_at":"2026-05-18T02:56:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1340","created_at":"2026-05-18T02:56:59Z"},{"alias_kind":"pith_short_12","alias_value":"Z5MQ7ALV6KIW","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z5MQ7ALV6KIWFL4X","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z5MQ7ALV","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:aeb0a920e29968abe712a1af85b7cd6b583d760aeb906ffb8e223bac93111c03","target":"graph","created_at":"2026-05-18T02:56:59Z","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 study the propagation of a weak probe field through an optomechanical system in which $N$ nearly degenerate mechanical membranes are inside a Febry-Perot cavity, and couple dispersively to an intracavity field. We derive a general analytical expression for the output probe field. We show that the in-phase quadrature of the output probe field can exhibit multiple electromagnetically induced transparency with at most $N$ narrow transparency windows. We find that the superluminal light can be achieved with at most $N$ different negative group velocities at the transparency windows. Moreover, b","authors_text":"Mankei Tsang, Sumei Huang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-03-06T04:04:20Z","title":"Electromagnetically induced transparency and optical memories in an optomechanical system with $N$ membranes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1340","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":"sha256:38f0a23d111ddcaf253b079a49ead4a2a8d712a500def48cf691b73c63bdf8ee","target":"record","created_at":"2026-05-18T02:56:59Z","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":"e7d1d056225f203da36da8e66fa347e2ed3affd6ee7afe9526876036e52c785f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-03-06T04:04:20Z","title_canon_sha256":"45a89fdf3a2ad03d4ce01b2ee8e32bff0da0cbff119a5e6cba30bf9b36097ba4"},"schema_version":"1.0","source":{"id":"1403.1340","kind":"arxiv","version":1}},"canonical_sha256":"cf590f8175f29162af97d026501994ef241601e387c60697a7e195e68e583f76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf590f8175f29162af97d026501994ef241601e387c60697a7e195e68e583f76","first_computed_at":"2026-05-18T02:56:59.225084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:59.225084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZHfgRkt5e4PEa5jUjZDWAEgcws9ZdjVBPbm+5QBjd+HhYVfAVHcJPRI59UvBzmbjV0Z1quF4l2PwRt5S3fNvCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:59.225854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.1340","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38f0a23d111ddcaf253b079a49ead4a2a8d712a500def48cf691b73c63bdf8ee","sha256:aeb0a920e29968abe712a1af85b7cd6b583d760aeb906ffb8e223bac93111c03"],"state_sha256":"4fbbaf72b2d47264ef8f18b3ab8627e9c5b4a33381dc1cb52b1a97b3d17d2136"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V5MgTf8RUAWuNrPHU2xE/A+PEC1Te8jak6vY8wzvUb9rO0foTZf4pfbSOkoHxU94vB1/9nZTE4F+ef6oyiV/DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T15:12:07.127503Z","bundle_sha256":"0c66b2c2ba1a4894151627e4bdaef85f4bedfb155984a7a8da883bcbb8462a17"}}