{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:5XBPG3CTCMYOZNKQKSWEP2OO7L","short_pith_number":"pith:5XBPG3CT","canonical_record":{"source":{"id":"2108.04129","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-09T15:52:34Z","cross_cats_sorted":[],"title_canon_sha256":"c24ab626b9a92e81dbac55b9d56742a26c25ec6b276474b5610aacd2869113f9","abstract_canon_sha256":"f0efb5bc3678db2bec7a3019e488988cc59b68a8d36301dfeed0e13eba3308c1"},"schema_version":"1.0"},"canonical_sha256":"edc2f36c531330ecb55054ac47e9cefafeff4372751aa4ad3c2721da2d389227","source":{"kind":"arxiv","id":"2108.04129","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.04129","created_at":"2026-07-05T03:04:13Z"},{"alias_kind":"arxiv_version","alias_value":"2108.04129v1","created_at":"2026-07-05T03:04:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.04129","created_at":"2026-07-05T03:04:13Z"},{"alias_kind":"pith_short_12","alias_value":"5XBPG3CTCMYO","created_at":"2026-07-05T03:04:13Z"},{"alias_kind":"pith_short_16","alias_value":"5XBPG3CTCMYOZNKQ","created_at":"2026-07-05T03:04:13Z"},{"alias_kind":"pith_short_8","alias_value":"5XBPG3CT","created_at":"2026-07-05T03:04:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:5XBPG3CTCMYOZNKQKSWEP2OO7L","target":"record","payload":{"canonical_record":{"source":{"id":"2108.04129","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-09T15:52:34Z","cross_cats_sorted":[],"title_canon_sha256":"c24ab626b9a92e81dbac55b9d56742a26c25ec6b276474b5610aacd2869113f9","abstract_canon_sha256":"f0efb5bc3678db2bec7a3019e488988cc59b68a8d36301dfeed0e13eba3308c1"},"schema_version":"1.0"},"canonical_sha256":"edc2f36c531330ecb55054ac47e9cefafeff4372751aa4ad3c2721da2d389227","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:04:13.093032Z","signature_b64":"/WnwlvqgIl/RcbcY0i5EoeuKAPFpkwmqKoDXXqks0WX+vIbWXbosNOQoxIMrbdKs3TrG3UNMSaD0eSuPb1b5AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"edc2f36c531330ecb55054ac47e9cefafeff4372751aa4ad3c2721da2d389227","last_reissued_at":"2026-07-05T03:04:13.092572Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:04:13.092572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2108.04129","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":"2026-07-05T03:04:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g3e2lNhuQkTjuP+xsMpu8WVm5bNX6ox0cOoNgHQcMKltQn5G6WjiVQjF7IJI5eeid5PsGFAOLggSHEEb6Jo7AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T06:05:58.198463Z"},"content_sha256":"8eef581fd9f89209b4b1d25d74f78ba4230003c06b005ae3301089fc4331b676","schema_version":"1.0","event_id":"sha256:8eef581fd9f89209b4b1d25d74f78ba4230003c06b005ae3301089fc4331b676"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:5XBPG3CTCMYOZNKQKSWEP2OO7L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics of Non-Gaussian Entanglement of Two Magnetically Coupled Modes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Abdeldjalil Merdaci, Ahmed Jellal, Radouan Hab-arrih","submitted_at":"2021-08-09T15:52:34Z","abstract_excerpt":"This paper surveys the quantum entanglement of two coupled harmonic oscillators via angular momentum generating a magnetic coupling $\\omega_{c}$. The corresponding Hamiltonian is diagonalized by using three canonical transformations and then the stationary wave function is obtained. Based on the Schmidt decomposition, we explicitly determine the Schmidt modes $\\lambda_{k}$ with $k\\in\\left\\lbrace 0,1,\\cdots,n+m\\right\\rbrace$, $n$ and $m$ being two quantum numbers associated to the two oscillators. By studying the effect of the anisotropy $ R=\\omega_{1}^{2}/\\omega_{2}^{2} $, $\\omega_{c}$, asymme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.04129","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2108.04129/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:04:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"96ZEo64S6p9tnRLXyPVY5Efkq86s2clrqeyP5LCRWAkCpWRJXQ8h3PsVWV2L1pi/x/nEixGi7ZjTDmNubuVeAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T06:05:58.199434Z"},"content_sha256":"1cafe7b57de004b298c0abc78f636fb9ae1f5a74eb2e8d3bfa5db77d9a9dcb52","schema_version":"1.0","event_id":"sha256:1cafe7b57de004b298c0abc78f636fb9ae1f5a74eb2e8d3bfa5db77d9a9dcb52"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5XBPG3CTCMYOZNKQKSWEP2OO7L/bundle.json","state_url":"https://pith.science/pith/5XBPG3CTCMYOZNKQKSWEP2OO7L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5XBPG3CTCMYOZNKQKSWEP2OO7L/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":"2026-08-04T06:05:58Z","links":{"resolver":"https://pith.science/pith/5XBPG3CTCMYOZNKQKSWEP2OO7L","bundle":"https://pith.science/pith/5XBPG3CTCMYOZNKQKSWEP2OO7L/bundle.json","state":"https://pith.science/pith/5XBPG3CTCMYOZNKQKSWEP2OO7L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5XBPG3CTCMYOZNKQKSWEP2OO7L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:5XBPG3CTCMYOZNKQKSWEP2OO7L","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":"f0efb5bc3678db2bec7a3019e488988cc59b68a8d36301dfeed0e13eba3308c1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-09T15:52:34Z","title_canon_sha256":"c24ab626b9a92e81dbac55b9d56742a26c25ec6b276474b5610aacd2869113f9"},"schema_version":"1.0","source":{"id":"2108.04129","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.04129","created_at":"2026-07-05T03:04:13Z"},{"alias_kind":"arxiv_version","alias_value":"2108.04129v1","created_at":"2026-07-05T03:04:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.04129","created_at":"2026-07-05T03:04:13Z"},{"alias_kind":"pith_short_12","alias_value":"5XBPG3CTCMYO","created_at":"2026-07-05T03:04:13Z"},{"alias_kind":"pith_short_16","alias_value":"5XBPG3CTCMYOZNKQ","created_at":"2026-07-05T03:04:13Z"},{"alias_kind":"pith_short_8","alias_value":"5XBPG3CT","created_at":"2026-07-05T03:04:13Z"}],"graph_snapshots":[{"event_id":"sha256:1cafe7b57de004b298c0abc78f636fb9ae1f5a74eb2e8d3bfa5db77d9a9dcb52","target":"graph","created_at":"2026-07-05T03:04:13Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2108.04129/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper surveys the quantum entanglement of two coupled harmonic oscillators via angular momentum generating a magnetic coupling $\\omega_{c}$. The corresponding Hamiltonian is diagonalized by using three canonical transformations and then the stationary wave function is obtained. Based on the Schmidt decomposition, we explicitly determine the Schmidt modes $\\lambda_{k}$ with $k\\in\\left\\lbrace 0,1,\\cdots,n+m\\right\\rbrace$, $n$ and $m$ being two quantum numbers associated to the two oscillators. By studying the effect of the anisotropy $ R=\\omega_{1}^{2}/\\omega_{2}^{2} $, $\\omega_{c}$, asymme","authors_text":"Abdeldjalil Merdaci, Ahmed Jellal, Radouan Hab-arrih","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-09T15:52:34Z","title":"Dynamics of Non-Gaussian Entanglement of Two Magnetically Coupled Modes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.04129","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":"sha256:8eef581fd9f89209b4b1d25d74f78ba4230003c06b005ae3301089fc4331b676","target":"record","created_at":"2026-07-05T03:04:13Z","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":"f0efb5bc3678db2bec7a3019e488988cc59b68a8d36301dfeed0e13eba3308c1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-09T15:52:34Z","title_canon_sha256":"c24ab626b9a92e81dbac55b9d56742a26c25ec6b276474b5610aacd2869113f9"},"schema_version":"1.0","source":{"id":"2108.04129","kind":"arxiv","version":1}},"canonical_sha256":"edc2f36c531330ecb55054ac47e9cefafeff4372751aa4ad3c2721da2d389227","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edc2f36c531330ecb55054ac47e9cefafeff4372751aa4ad3c2721da2d389227","first_computed_at":"2026-07-05T03:04:13.092572Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:04:13.092572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/WnwlvqgIl/RcbcY0i5EoeuKAPFpkwmqKoDXXqks0WX+vIbWXbosNOQoxIMrbdKs3TrG3UNMSaD0eSuPb1b5AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:04:13.093032Z","signed_message":"canonical_sha256_bytes"},"source_id":"2108.04129","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8eef581fd9f89209b4b1d25d74f78ba4230003c06b005ae3301089fc4331b676","sha256:1cafe7b57de004b298c0abc78f636fb9ae1f5a74eb2e8d3bfa5db77d9a9dcb52"],"state_sha256":"8c863a98b6af9bae33d5030f9c7f494299f0514831f7e3f3eb11295ab5dce118"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3gwBSLAZ8E1k3A9EnirbXoi32rn5QU/AhMaYiB+HyEnCD1SiFV1+ulf6cVw27Mo9n91qVI1odQkw2juMY0dVAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T06:05:58.207821Z","bundle_sha256":"7da134e71bab5176150af30d5ad803e048a22f0b32441c1ad405bcb28c1fba8d"}}