{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:CZADQVITHSWTYP2LIDDINWV56V","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":"f467deb449e59f8d07425c46401ebd54f1d061996cf53a488ec7764badc56c1c","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-04-02T13:19:58Z","title_canon_sha256":"869b1e27092c141d52cd26f7a6d4ac7a5e00e8f8b6d274466e3b0f3e1e76d351"},"schema_version":"1.0","source":{"id":"quant-ph/0604006","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0604006","created_at":"2026-05-18T01:37:56Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0604006v1","created_at":"2026-05-18T01:37:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0604006","created_at":"2026-05-18T01:37:56Z"},{"alias_kind":"pith_short_12","alias_value":"CZADQVITHSWT","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"CZADQVITHSWTYP2L","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"CZADQVIT","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:1f3905e529a66d9f0c8c29df557ed584c5220f39eb9aaa699cc499168d82d9e7","target":"graph","created_at":"2026-05-18T01:37:56Z","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":"The phase diagram of a simple area-preserving map, which was motivated by the quantum dynamics of cold atoms, is explored analytically and numerically. Periodic orbits of a given winding ratio are found to exist within wedge-shaped regions in the phase diagrams, which are analogous to the Arnol'd tongues which have been extensively studied for a variety of dynamical systems, mostly dissipative ones. A rich variety of bifurcations of various types are observed, as well as period doubling cascades. Stability of periodic orbits is analyzed in detail.","authors_text":"Alexander Iomin, Italo Guarneri, Rebecca Hihinashvili, Shmuel Fishman, Tali Oliker, Yaniv S. Avizrats","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-04-02T13:19:58Z","title":"Regimes of stability of accelerator modes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0604006","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:b2139fbde2d8570a1447f3c4b952598f5fcb8f29ba4148e8ae1fbb33b91242b7","target":"record","created_at":"2026-05-18T01:37:56Z","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":"f467deb449e59f8d07425c46401ebd54f1d061996cf53a488ec7764badc56c1c","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-04-02T13:19:58Z","title_canon_sha256":"869b1e27092c141d52cd26f7a6d4ac7a5e00e8f8b6d274466e3b0f3e1e76d351"},"schema_version":"1.0","source":{"id":"quant-ph/0604006","kind":"arxiv","version":1}},"canonical_sha256":"16403855133cad3c3f4b40c686dabdf5671dacc3873ba78f46fdc25b2740ecfc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16403855133cad3c3f4b40c686dabdf5671dacc3873ba78f46fdc25b2740ecfc","first_computed_at":"2026-05-18T01:37:56.944798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:56.944798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iLcvQ9VIdG+YbLxKo8NH8wXy2KZdQv1Ge1k4OZhuFF9GMvTUjSOAZ8o33r6tsNybwC/52ctnI9kP8qcIzEACAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:56.945502Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0604006","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2139fbde2d8570a1447f3c4b952598f5fcb8f29ba4148e8ae1fbb33b91242b7","sha256:1f3905e529a66d9f0c8c29df557ed584c5220f39eb9aaa699cc499168d82d9e7"],"state_sha256":"ea71769aa5397f80c9bc7b3ae7091fc7f396d57b221272175098955d6b8d95a6"}