{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:NEZOV6UFLJ7CKS3XLW3VBFEIS2","short_pith_number":"pith:NEZOV6UF","schema_version":"1.0","canonical_sha256":"6932eafa855a7e254b775db750948896b89855f03e1276b0136687803146da0b","source":{"kind":"arxiv","id":"1509.06154","version":1},"attestation_state":"computed","paper":{"title":"Higher order non-linear effects in a Josephson parametric amplifier","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Arkady Fedorov, Bogdan A. Kochetov","submitted_at":"2015-09-21T08:57:35Z","abstract_excerpt":"Non-linearity of the current-phase relationship of a Josephson junction is the key resource for a Josephson parametric amplifier (JPA), the only device in which the quantum limit has so far been achieved at microwave frequencies. A standard approach to describe JPA takes into account only the lowest order (cubic) non-linearity resulting in a Duffing-like oscillator equation of motion or in a Kerr-type non-linearity term in the Hamiltonian. In this paper we derive the quantum expression for the gain of JPA including all orders of the Josephson junction non-linearity in the linear response regim"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1509.06154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-21T08:57:35Z","cross_cats_sorted":[],"title_canon_sha256":"096d4c3253c75d4c5675acdc6a50602f4ffb4c6ea10595cc031ed7dab1d9d2b5","abstract_canon_sha256":"60e23152124a5acba26567309154932a54579a3b70127050168faa76a4977155"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:55.310900Z","signature_b64":"QA4FSXtDXA6EejHqQ9bDxRjQ/FOeCHYB4CY9RDCiFBBCY90O1n2ZKeY+y7xXhHwZP9egfUFSZJ5t40mGRahaDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6932eafa855a7e254b775db750948896b89855f03e1276b0136687803146da0b","last_reissued_at":"2026-05-18T01:23:55.310187Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:55.310187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Higher order non-linear effects in a Josephson parametric amplifier","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Arkady Fedorov, Bogdan A. Kochetov","submitted_at":"2015-09-21T08:57:35Z","abstract_excerpt":"Non-linearity of the current-phase relationship of a Josephson junction is the key resource for a Josephson parametric amplifier (JPA), the only device in which the quantum limit has so far been achieved at microwave frequencies. A standard approach to describe JPA takes into account only the lowest order (cubic) non-linearity resulting in a Duffing-like oscillator equation of motion or in a Kerr-type non-linearity term in the Hamiltonian. In this paper we derive the quantum expression for the gain of JPA including all orders of the Josephson junction non-linearity in the linear response regim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06154","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1509.06154","created_at":"2026-05-18T01:23:55.310306+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.06154v1","created_at":"2026-05-18T01:23:55.310306+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06154","created_at":"2026-05-18T01:23:55.310306+00:00"},{"alias_kind":"pith_short_12","alias_value":"NEZOV6UFLJ7C","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"NEZOV6UFLJ7CKS3X","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"NEZOV6UF","created_at":"2026-05-18T12:29:32.376354+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NEZOV6UFLJ7CKS3XLW3VBFEIS2","json":"https://pith.science/pith/NEZOV6UFLJ7CKS3XLW3VBFEIS2.json","graph_json":"https://pith.science/api/pith-number/NEZOV6UFLJ7CKS3XLW3VBFEIS2/graph.json","events_json":"https://pith.science/api/pith-number/NEZOV6UFLJ7CKS3XLW3VBFEIS2/events.json","paper":"https://pith.science/paper/NEZOV6UF"},"agent_actions":{"view_html":"https://pith.science/pith/NEZOV6UFLJ7CKS3XLW3VBFEIS2","download_json":"https://pith.science/pith/NEZOV6UFLJ7CKS3XLW3VBFEIS2.json","view_paper":"https://pith.science/paper/NEZOV6UF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.06154&json=true","fetch_graph":"https://pith.science/api/pith-number/NEZOV6UFLJ7CKS3XLW3VBFEIS2/graph.json","fetch_events":"https://pith.science/api/pith-number/NEZOV6UFLJ7CKS3XLW3VBFEIS2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NEZOV6UFLJ7CKS3XLW3VBFEIS2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NEZOV6UFLJ7CKS3XLW3VBFEIS2/action/storage_attestation","attest_author":"https://pith.science/pith/NEZOV6UFLJ7CKS3XLW3VBFEIS2/action/author_attestation","sign_citation":"https://pith.science/pith/NEZOV6UFLJ7CKS3XLW3VBFEIS2/action/citation_signature","submit_replication":"https://pith.science/pith/NEZOV6UFLJ7CKS3XLW3VBFEIS2/action/replication_record"}},"created_at":"2026-05-18T01:23:55.310306+00:00","updated_at":"2026-05-18T01:23:55.310306+00:00"}