{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RY5I6OYO4X5OXFO3TSICDVFUOV","short_pith_number":"pith:RY5I6OYO","canonical_record":{"source":{"id":"1612.09101","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-29T11:15:09Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"6176abd860bcd3fbab42dbfaf3f9199227847534689b4ae0ffe6e68030ef3213","abstract_canon_sha256":"b51641502f55ab43c01a3f454ffbf455529e2cc1a34e7e6ba613e89e1c548b5f"},"schema_version":"1.0"},"canonical_sha256":"8e3a8f3b0ee5faeb95db9c9021d4b4757b89b0b3bf831b1b53af96e639fc3f39","source":{"kind":"arxiv","id":"1612.09101","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.09101","created_at":"2026-05-18T00:42:02Z"},{"alias_kind":"arxiv_version","alias_value":"1612.09101v2","created_at":"2026-05-18T00:42:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.09101","created_at":"2026-05-18T00:42:02Z"},{"alias_kind":"pith_short_12","alias_value":"RY5I6OYO4X5O","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RY5I6OYO4X5OXFO3","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RY5I6OYO","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RY5I6OYO4X5OXFO3TSICDVFUOV","target":"record","payload":{"canonical_record":{"source":{"id":"1612.09101","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-29T11:15:09Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"6176abd860bcd3fbab42dbfaf3f9199227847534689b4ae0ffe6e68030ef3213","abstract_canon_sha256":"b51641502f55ab43c01a3f454ffbf455529e2cc1a34e7e6ba613e89e1c548b5f"},"schema_version":"1.0"},"canonical_sha256":"8e3a8f3b0ee5faeb95db9c9021d4b4757b89b0b3bf831b1b53af96e639fc3f39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:02.237255Z","signature_b64":"z/imTKOj5urCYgWnKH1gHSgGbKrkqumU8KnO8T5LBawCxMH88LoBh4WZZ3qmLWuy+/IVIgS5tNa6zLBUaXXQBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e3a8f3b0ee5faeb95db9c9021d4b4757b89b0b3bf831b1b53af96e639fc3f39","last_reissued_at":"2026-05-18T00:42:02.236792Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:02.236792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.09101","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:42:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vslH7lDsZzATjx1GiJZiUfw8BHGHf/vi+ZFyZO5lLs5x0Uyaw1qZPco8PIzLIl1jAePm0vVDl+yiWzBBMUifAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T00:30:23.005403Z"},"content_sha256":"fc49ba5c90e5dfc65dbbd722f2cbb7534929498bba7e4c1da00fb40a9fbfedd9","schema_version":"1.0","event_id":"sha256:fc49ba5c90e5dfc65dbbd722f2cbb7534929498bba7e4c1da00fb40a9fbfedd9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RY5I6OYO4X5OXFO3TSICDVFUOV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bifurcation trees of Stark-Wannier ladders for accelerated BECs in an optical lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"quant-ph","authors_text":"Andrea Sacchetti","submitted_at":"2016-12-29T11:15:09Z","abstract_excerpt":"In this paper we show that in the semicassical regime of periodic potential large enough, the Stark-Wannier ladders become a dense energy spectrum because of a cascade of bifurcations while increasing the ratio between the effective nonlinearity strength and the tilt of the external field; this fact is associated to a transition from regular to quantum chaotic dynamics. The sequence of bifurcation points is explicitly given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.09101","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:42:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fyRakluUMcmflEQeSGEt0TD7Mh4z+JEl74rHH3VMPG1NcxyQko00kAidbxa38CVDm/0HOYaCERh1PvjpfBbfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T00:30:23.005998Z"},"content_sha256":"b37d16ca766f39a73401d22f609e9ece9cfe0f99aefb04f5785e441425185536","schema_version":"1.0","event_id":"sha256:b37d16ca766f39a73401d22f609e9ece9cfe0f99aefb04f5785e441425185536"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RY5I6OYO4X5OXFO3TSICDVFUOV/bundle.json","state_url":"https://pith.science/pith/RY5I6OYO4X5OXFO3TSICDVFUOV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RY5I6OYO4X5OXFO3TSICDVFUOV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-04T00:30:23Z","links":{"resolver":"https://pith.science/pith/RY5I6OYO4X5OXFO3TSICDVFUOV","bundle":"https://pith.science/pith/RY5I6OYO4X5OXFO3TSICDVFUOV/bundle.json","state":"https://pith.science/pith/RY5I6OYO4X5OXFO3TSICDVFUOV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RY5I6OYO4X5OXFO3TSICDVFUOV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RY5I6OYO4X5OXFO3TSICDVFUOV","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":"b51641502f55ab43c01a3f454ffbf455529e2cc1a34e7e6ba613e89e1c548b5f","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-29T11:15:09Z","title_canon_sha256":"6176abd860bcd3fbab42dbfaf3f9199227847534689b4ae0ffe6e68030ef3213"},"schema_version":"1.0","source":{"id":"1612.09101","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.09101","created_at":"2026-05-18T00:42:02Z"},{"alias_kind":"arxiv_version","alias_value":"1612.09101v2","created_at":"2026-05-18T00:42:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.09101","created_at":"2026-05-18T00:42:02Z"},{"alias_kind":"pith_short_12","alias_value":"RY5I6OYO4X5O","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RY5I6OYO4X5OXFO3","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RY5I6OYO","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:b37d16ca766f39a73401d22f609e9ece9cfe0f99aefb04f5785e441425185536","target":"graph","created_at":"2026-05-18T00:42:02Z","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":"In this paper we show that in the semicassical regime of periodic potential large enough, the Stark-Wannier ladders become a dense energy spectrum because of a cascade of bifurcations while increasing the ratio between the effective nonlinearity strength and the tilt of the external field; this fact is associated to a transition from regular to quantum chaotic dynamics. The sequence of bifurcation points is explicitly given.","authors_text":"Andrea Sacchetti","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-29T11:15:09Z","title":"Bifurcation trees of Stark-Wannier ladders for accelerated BECs in an optical lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.09101","kind":"arxiv","version":2},"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:fc49ba5c90e5dfc65dbbd722f2cbb7534929498bba7e4c1da00fb40a9fbfedd9","target":"record","created_at":"2026-05-18T00:42:02Z","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":"b51641502f55ab43c01a3f454ffbf455529e2cc1a34e7e6ba613e89e1c548b5f","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-29T11:15:09Z","title_canon_sha256":"6176abd860bcd3fbab42dbfaf3f9199227847534689b4ae0ffe6e68030ef3213"},"schema_version":"1.0","source":{"id":"1612.09101","kind":"arxiv","version":2}},"canonical_sha256":"8e3a8f3b0ee5faeb95db9c9021d4b4757b89b0b3bf831b1b53af96e639fc3f39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e3a8f3b0ee5faeb95db9c9021d4b4757b89b0b3bf831b1b53af96e639fc3f39","first_computed_at":"2026-05-18T00:42:02.236792Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:02.236792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z/imTKOj5urCYgWnKH1gHSgGbKrkqumU8KnO8T5LBawCxMH88LoBh4WZZ3qmLWuy+/IVIgS5tNa6zLBUaXXQBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:02.237255Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.09101","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc49ba5c90e5dfc65dbbd722f2cbb7534929498bba7e4c1da00fb40a9fbfedd9","sha256:b37d16ca766f39a73401d22f609e9ece9cfe0f99aefb04f5785e441425185536"],"state_sha256":"403e0ccb7f16c8a8e09787777366d331ffde9ad0a504e46146b289b7f1aef7e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x5mrF6E9XcyG4qVr7hTvOM5OMpmYog7avQvA7HARh5gmwsPQhYszDiix6NFxiNWQyEGWIUW7zzErBbLy2ew9Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T00:30:23.009712Z","bundle_sha256":"22710811f6ddf08162480a36493d65cd16869a82ee5a58d0f25f122400fb57c3"}}