{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JROLXZTJSSYIL3D464NW26MASB","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":"67cd79e4bb92a4503d163a37136287089a7fd0f8b04fb3973d1fb9743eabc021","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-29T15:33:19Z","title_canon_sha256":"635886a746ae20f011803781e66d4048563a8fed98e4035350ab51731d178c13"},"schema_version":"1.0","source":{"id":"1210.7689","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.7689","created_at":"2026-05-18T03:42:09Z"},{"alias_kind":"arxiv_version","alias_value":"1210.7689v1","created_at":"2026-05-18T03:42:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7689","created_at":"2026-05-18T03:42:09Z"},{"alias_kind":"pith_short_12","alias_value":"JROLXZTJSSYI","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JROLXZTJSSYIL3D4","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JROLXZTJ","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:2f2858cdeb6dec5eca4a202ca7559abc18e554a3aefd35286000c72c50fac6d8","target":"graph","created_at":"2026-05-18T03:42:09Z","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 introduce a special class of truncated Weyl-Heisenberg algebra and discuss the corresponding Hilbertian and analytical representations. Subsequently, we study the effect of a quantum network of beam splitting on coherent states of this nonlinear class of harmonic oscillators. We particularly focus on quantum networks involving one and two beam splitters and examine the degree of bipartite as well as tripartite entanglement using the linear entropy.","authors_text":"A. Jellal, E. B. Choubabi, E. H. El Kinani, M. Daoud","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-29T15:33:19Z","title":"Bipartite and Tripartite Entanglement of Truncated Harmonic Oscillator Coherent States via Beam Splitters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7689","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":"sha256:96fd6371f8c332b1f60a89f176ff73635de631785539f746c259cbd1a536fbf2","target":"record","created_at":"2026-05-18T03:42:09Z","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":"67cd79e4bb92a4503d163a37136287089a7fd0f8b04fb3973d1fb9743eabc021","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-29T15:33:19Z","title_canon_sha256":"635886a746ae20f011803781e66d4048563a8fed98e4035350ab51731d178c13"},"schema_version":"1.0","source":{"id":"1210.7689","kind":"arxiv","version":1}},"canonical_sha256":"4c5cbbe66994b085ec7cf71b6d7980906d37c15e47f61f4a272a6fe26a6201ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c5cbbe66994b085ec7cf71b6d7980906d37c15e47f61f4a272a6fe26a6201ce","first_computed_at":"2026-05-18T03:42:09.069723Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:09.069723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZcydnoyJybprdG2GfXAbPkH66fHpthDCzI9VZOlIBob8XlB7TP+f+E/F3MhkyieDreoraUymO+v9Xg+afX4DAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:09.070381Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.7689","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96fd6371f8c332b1f60a89f176ff73635de631785539f746c259cbd1a536fbf2","sha256:2f2858cdeb6dec5eca4a202ca7559abc18e554a3aefd35286000c72c50fac6d8"],"state_sha256":"9f8ad20348fc8b3a84a8a27b50b77fee7bc19c88c299d4831a6c8516b39a5d86"}