{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:ZN7NIPLY7ZONXHJ3O3MV6SOCI3","short_pith_number":"pith:ZN7NIPLY","schema_version":"1.0","canonical_sha256":"cb7ed43d78fe5cdb9d3b76d95f49c246d44544ead0432760a30c1582afe46f1a","source":{"kind":"arxiv","id":"2501.08793","version":1},"attestation_state":"computed","paper":{"title":"The parametric instability landscape of coupled Kerr parametric oscillators","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["nlin.CD","physics.class-ph","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Alex Eichler, Oded Zilberberg, Orjan Ameye","submitted_at":"2025-01-15T13:37:00Z","abstract_excerpt":"Networks of coupled Kerr parametric oscillators (KPOs) hold promise as for the realization of neuromorphic and quantum computation. Yet, their rich bifurcation structure remains largely not understood. Here, we employ secular perturbation theory to map the stability regions of these networks, and identify the regime where the system can be mapped to an Ising model. Starting with two coupled KPOs, we show how the bifurcations arise from the competition between the global parametric drive and linear coupling between the KPOs. We then extend this framework to larger networks with all-to-all equal"},"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":"2501.08793","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-01-15T13:37:00Z","cross_cats_sorted":["nlin.CD","physics.class-ph","quant-ph"],"title_canon_sha256":"913b14d5b19f0fcbf63e245d6c84418a1b9a39f3f6f22dea57c41a05f76e69e6","abstract_canon_sha256":"9c72fd38fd36725d597b77b9c2eeae09c8ef742fdc2d8d31c6b4ec2b57530d41"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:01:26.190676Z","signature_b64":"rNB/GkVlAL01ZaFEXw8T0uESiRCfTgzQG77XuBgmzvwX6lpKIk/KCLJ/dHwowwHXDpCIv2ujKbi10xb4asfPDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb7ed43d78fe5cdb9d3b76d95f49c246d44544ead0432760a30c1582afe46f1a","last_reissued_at":"2026-07-05T10:01:26.190209Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:01:26.190209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The parametric instability landscape of coupled Kerr parametric oscillators","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["nlin.CD","physics.class-ph","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Alex Eichler, Oded Zilberberg, Orjan Ameye","submitted_at":"2025-01-15T13:37:00Z","abstract_excerpt":"Networks of coupled Kerr parametric oscillators (KPOs) hold promise as for the realization of neuromorphic and quantum computation. Yet, their rich bifurcation structure remains largely not understood. Here, we employ secular perturbation theory to map the stability regions of these networks, and identify the regime where the system can be mapped to an Ising model. Starting with two coupled KPOs, we show how the bifurcations arise from the competition between the global parametric drive and linear coupling between the KPOs. We then extend this framework to larger networks with all-to-all equal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.08793","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/2501.08793/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2501.08793","created_at":"2026-07-05T10:01:26.190269+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.08793v1","created_at":"2026-07-05T10:01:26.190269+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.08793","created_at":"2026-07-05T10:01:26.190269+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZN7NIPLY7ZON","created_at":"2026-07-05T10:01:26.190269+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZN7NIPLY7ZONXHJ3","created_at":"2026-07-05T10:01:26.190269+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZN7NIPLY","created_at":"2026-07-05T10:01:26.190269+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.00850","citing_title":"A network of parametrically driven silicon nitride mechanical membranes","ref_index":44,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZN7NIPLY7ZONXHJ3O3MV6SOCI3","json":"https://pith.science/pith/ZN7NIPLY7ZONXHJ3O3MV6SOCI3.json","graph_json":"https://pith.science/api/pith-number/ZN7NIPLY7ZONXHJ3O3MV6SOCI3/graph.json","events_json":"https://pith.science/api/pith-number/ZN7NIPLY7ZONXHJ3O3MV6SOCI3/events.json","paper":"https://pith.science/paper/ZN7NIPLY"},"agent_actions":{"view_html":"https://pith.science/pith/ZN7NIPLY7ZONXHJ3O3MV6SOCI3","download_json":"https://pith.science/pith/ZN7NIPLY7ZONXHJ3O3MV6SOCI3.json","view_paper":"https://pith.science/paper/ZN7NIPLY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.08793&json=true","fetch_graph":"https://pith.science/api/pith-number/ZN7NIPLY7ZONXHJ3O3MV6SOCI3/graph.json","fetch_events":"https://pith.science/api/pith-number/ZN7NIPLY7ZONXHJ3O3MV6SOCI3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZN7NIPLY7ZONXHJ3O3MV6SOCI3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZN7NIPLY7ZONXHJ3O3MV6SOCI3/action/storage_attestation","attest_author":"https://pith.science/pith/ZN7NIPLY7ZONXHJ3O3MV6SOCI3/action/author_attestation","sign_citation":"https://pith.science/pith/ZN7NIPLY7ZONXHJ3O3MV6SOCI3/action/citation_signature","submit_replication":"https://pith.science/pith/ZN7NIPLY7ZONXHJ3O3MV6SOCI3/action/replication_record"}},"created_at":"2026-07-05T10:01:26.190269+00:00","updated_at":"2026-07-05T10:01:26.190269+00:00"}