{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:6LR7U4RFHRRQBX66TQT526GQGA","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":"822a2a1f3e2ada8c071b9f4f8860a787552a0f41336094a07d389ed095adfd5d","cross_cats_sorted":["nlin.CD","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2020-04-27T21:00:39Z","title_canon_sha256":"3feca83b5e8cb60a08a83848a78865c89395d778711cd40e3570804611c46f5a"},"schema_version":"1.0","source":{"id":"2004.13174","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.13174","created_at":"2026-07-05T01:28:09Z"},{"alias_kind":"arxiv_version","alias_value":"2004.13174v3","created_at":"2026-07-05T01:28:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.13174","created_at":"2026-07-05T01:28:09Z"},{"alias_kind":"pith_short_12","alias_value":"6LR7U4RFHRRQ","created_at":"2026-07-05T01:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"6LR7U4RFHRRQBX66","created_at":"2026-07-05T01:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"6LR7U4RF","created_at":"2026-07-05T01:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:a6efa0458ce2c2d8d45ee57a2aadf62ec2025e935cc1e9f93d24af2a50113b47","target":"graph","created_at":"2026-07-05T01:28:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2004.13174/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent advances in the study of synthetic dimensions revealed a possibility to employ the frequency space as an additional degree of freedom which allows for investigating and exploiting higher-dimensional phenomena in a priori low-dimensional systems. However, the influence of nonlinear effects on the synthetic frequency dimensions was studied only under significant restrictions. In the present paper, we develop a generalized mean-field model for the optical field envelope inside a single driven-dissipative resonator with quadratic and cubic nonlinearities, whose frequencies are coupled via a","authors_text":"Aleksandr K. Tusnin, Alexey M. Tikan, Tobias J. Kippenberg","cross_cats":["nlin.CD","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2020-04-27T21:00:39Z","title":"Nonlinear states and dynamics in a synthetic frequency dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.13174","kind":"arxiv","version":3},"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:d015edb65e2cfc89c62be8997ba40f64bccfe573be77aa4499cbf9a6faff8f8c","target":"record","created_at":"2026-07-05T01:28:09Z","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":"822a2a1f3e2ada8c071b9f4f8860a787552a0f41336094a07d389ed095adfd5d","cross_cats_sorted":["nlin.CD","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2020-04-27T21:00:39Z","title_canon_sha256":"3feca83b5e8cb60a08a83848a78865c89395d778711cd40e3570804611c46f5a"},"schema_version":"1.0","source":{"id":"2004.13174","kind":"arxiv","version":3}},"canonical_sha256":"f2e3fa72253c6300dfde9c27dd78d030253ad9a2e28a672c0faac497469bbb10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2e3fa72253c6300dfde9c27dd78d030253ad9a2e28a672c0faac497469bbb10","first_computed_at":"2026-07-05T01:28:09.430913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:28:09.430913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zaAiSobD/HwzVrwct9UxGceOHhgU0IEP4cHwaAMQ6NI0w0UUa9O4vrPyjkt24Eb8OkbZwYp4zcxz8mog3t+gBw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:28:09.431394Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.13174","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d015edb65e2cfc89c62be8997ba40f64bccfe573be77aa4499cbf9a6faff8f8c","sha256:a6efa0458ce2c2d8d45ee57a2aadf62ec2025e935cc1e9f93d24af2a50113b47"],"state_sha256":"bc6df30f4aeaaa0ffc2e96c5c3f9cc8ea319e71e1fb549720cfd64f8bc3b9fe4"}