{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:APXSA72IMXI4VQTIMECZHLJWQX","short_pith_number":"pith:APXSA72I","canonical_record":{"source":{"id":"1108.2344","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-08-11T08:14:21Z","cross_cats_sorted":[],"title_canon_sha256":"641edcfa9b85fc337627a6b389152231d98872c32396a6ba88592b58d92bacd4","abstract_canon_sha256":"9a8fb71078608ed65d33a569e13d53e35a3ead6d45f3c5587cec8b42fe8c813d"},"schema_version":"1.0"},"canonical_sha256":"03ef207f4865d1cac268610593ad3685e40442e63bf388d78800187a3d85e7f0","source":{"kind":"arxiv","id":"1108.2344","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.2344","created_at":"2026-05-18T02:00:55Z"},{"alias_kind":"arxiv_version","alias_value":"1108.2344v1","created_at":"2026-05-18T02:00:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.2344","created_at":"2026-05-18T02:00:55Z"},{"alias_kind":"pith_short_12","alias_value":"APXSA72IMXI4","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"APXSA72IMXI4VQTI","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"APXSA72I","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:APXSA72IMXI4VQTIMECZHLJWQX","target":"record","payload":{"canonical_record":{"source":{"id":"1108.2344","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-08-11T08:14:21Z","cross_cats_sorted":[],"title_canon_sha256":"641edcfa9b85fc337627a6b389152231d98872c32396a6ba88592b58d92bacd4","abstract_canon_sha256":"9a8fb71078608ed65d33a569e13d53e35a3ead6d45f3c5587cec8b42fe8c813d"},"schema_version":"1.0"},"canonical_sha256":"03ef207f4865d1cac268610593ad3685e40442e63bf388d78800187a3d85e7f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:55.361059Z","signature_b64":"jAOMCAka+XTrjJQLMCDPBmutLGPK7j9gKb57b0oMVP2MltiGWdqHL0crAKfLePAaouKr6D8l9iqAEHe0qXEHDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03ef207f4865d1cac268610593ad3685e40442e63bf388d78800187a3d85e7f0","last_reissued_at":"2026-05-18T02:00:55.360366Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:55.360366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.2344","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":"2026-05-18T02:00:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DNy5240wqp46EOL+lK0D18sbH0umHSALYNAXLCM3+p2K669nWDuAfSIP2MFfA97+wgzziXZGx2xnGP/D1PKiCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:09:19.467579Z"},"content_sha256":"cdbb79f08fcd2af65b0c4c91f308de6a97a40394113dea62d2df7d512ae9ad13","schema_version":"1.0","event_id":"sha256:cdbb79f08fcd2af65b0c4c91f308de6a97a40394113dea62d2df7d512ae9ad13"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:APXSA72IMXI4VQTIMECZHLJWQX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Evolution of Fock states in three mixed harmonic oscillators: quantum statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Faisal A. A. El-Orany, J. Perina, M. Sebawe Abdalla","submitted_at":"2011-08-11T08:14:21Z","abstract_excerpt":"In this communication we investigate the quantum statistics of three harmonic oscillators mutually interacting with each other considering the modes are initially in Fock states. After solving the equations of motion, the squeezing phenomenon, sub-Poissonian statistics and quasiprobability functions are discussed. We demonstrate that the interaction is able to produce squeezing of different types. We show also that certain types of Fock states can evolve in this interaction into thermal state and squeezed thermal state governed by the interaction parameters."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2344","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":"2026-05-18T02:00:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ydv4JPiswajvEEBFKYUfGpxsns7uOxuSg1mGtvuX2XA43XxQ83wXduBQDjgQZIPYAfW4zLfX1osu6a2dIsrrAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:09:19.467913Z"},"content_sha256":"134ddb6cf75ed508b504d23ef747b851b1c6f1519f818411e168aa42db9d1bc2","schema_version":"1.0","event_id":"sha256:134ddb6cf75ed508b504d23ef747b851b1c6f1519f818411e168aa42db9d1bc2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/APXSA72IMXI4VQTIMECZHLJWQX/bundle.json","state_url":"https://pith.science/pith/APXSA72IMXI4VQTIMECZHLJWQX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/APXSA72IMXI4VQTIMECZHLJWQX/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":"2026-06-01T21:09:19Z","links":{"resolver":"https://pith.science/pith/APXSA72IMXI4VQTIMECZHLJWQX","bundle":"https://pith.science/pith/APXSA72IMXI4VQTIMECZHLJWQX/bundle.json","state":"https://pith.science/pith/APXSA72IMXI4VQTIMECZHLJWQX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/APXSA72IMXI4VQTIMECZHLJWQX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:APXSA72IMXI4VQTIMECZHLJWQX","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":"9a8fb71078608ed65d33a569e13d53e35a3ead6d45f3c5587cec8b42fe8c813d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-08-11T08:14:21Z","title_canon_sha256":"641edcfa9b85fc337627a6b389152231d98872c32396a6ba88592b58d92bacd4"},"schema_version":"1.0","source":{"id":"1108.2344","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.2344","created_at":"2026-05-18T02:00:55Z"},{"alias_kind":"arxiv_version","alias_value":"1108.2344v1","created_at":"2026-05-18T02:00:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.2344","created_at":"2026-05-18T02:00:55Z"},{"alias_kind":"pith_short_12","alias_value":"APXSA72IMXI4","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"APXSA72IMXI4VQTI","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"APXSA72I","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:134ddb6cf75ed508b504d23ef747b851b1c6f1519f818411e168aa42db9d1bc2","target":"graph","created_at":"2026-05-18T02:00:55Z","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":"In this communication we investigate the quantum statistics of three harmonic oscillators mutually interacting with each other considering the modes are initially in Fock states. After solving the equations of motion, the squeezing phenomenon, sub-Poissonian statistics and quasiprobability functions are discussed. We demonstrate that the interaction is able to produce squeezing of different types. We show also that certain types of Fock states can evolve in this interaction into thermal state and squeezed thermal state governed by the interaction parameters.","authors_text":"Faisal A. A. El-Orany, J. Perina, M. Sebawe Abdalla","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-08-11T08:14:21Z","title":"Evolution of Fock states in three mixed harmonic oscillators: quantum statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2344","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:cdbb79f08fcd2af65b0c4c91f308de6a97a40394113dea62d2df7d512ae9ad13","target":"record","created_at":"2026-05-18T02:00:55Z","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":"9a8fb71078608ed65d33a569e13d53e35a3ead6d45f3c5587cec8b42fe8c813d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-08-11T08:14:21Z","title_canon_sha256":"641edcfa9b85fc337627a6b389152231d98872c32396a6ba88592b58d92bacd4"},"schema_version":"1.0","source":{"id":"1108.2344","kind":"arxiv","version":1}},"canonical_sha256":"03ef207f4865d1cac268610593ad3685e40442e63bf388d78800187a3d85e7f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03ef207f4865d1cac268610593ad3685e40442e63bf388d78800187a3d85e7f0","first_computed_at":"2026-05-18T02:00:55.360366Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:55.360366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jAOMCAka+XTrjJQLMCDPBmutLGPK7j9gKb57b0oMVP2MltiGWdqHL0crAKfLePAaouKr6D8l9iqAEHe0qXEHDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:55.361059Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.2344","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cdbb79f08fcd2af65b0c4c91f308de6a97a40394113dea62d2df7d512ae9ad13","sha256:134ddb6cf75ed508b504d23ef747b851b1c6f1519f818411e168aa42db9d1bc2"],"state_sha256":"2934875123ffa2cf6d4b523b315724d0a8b8b6d64f854cc08d45fa6604d10fd9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OoqLJ83Qw7bOrMuEDG4AcIraJJXAW0ZCU4IiqyIspBoVIX/UhgCV8lswOEeMiDnnJ5JJI4v/A+rTRX++tmkxBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:09:19.469865Z","bundle_sha256":"a6acedeebebf0140d164d607b505c2a721464f268f6df1ecdb05208678e191fc"}}