{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JATRAFH7R4AHD77B2TNTLEGN42","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":"9e7504d93e030b10a396b3d76c4562a76251434d11afcd4a84a8cacfc903a315","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-10-25T06:52:21Z","title_canon_sha256":"77db0760234b9718608920f03eb8e395678302d407ac6d9fd12d0731792e37f6"},"schema_version":"1.0","source":{"id":"1710.09087","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.09087","created_at":"2026-05-18T00:32:00Z"},{"alias_kind":"arxiv_version","alias_value":"1710.09087v1","created_at":"2026-05-18T00:32:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.09087","created_at":"2026-05-18T00:32:00Z"},{"alias_kind":"pith_short_12","alias_value":"JATRAFH7R4AH","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"JATRAFH7R4AHD77B","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"JATRAFH7","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:80928aca9ac5b39292fa5b704511bb9ca90db1707a89adc2bb8f5709d3de8fb8","target":"graph","created_at":"2026-05-18T00:32:00Z","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 center of mass dynamics of cold atoms and the Bose-Einstein condensate in one dimensional optical lattice is considered both in the absence and in the presence of external forcing. We discuss three situations for matter waves: first, the cold atoms; second, sufficiently dilute condensate where the dynamics are governed by the single particle wave packet dynamics; third, strong interaction regime, where, inter-atomic interaction can no longer be ignored. The analytical formalism developed for the two regimes, namely, deep optical lattice and shallow optical lattice. Parametric dependencies ","authors_text":"Muhammad Ayub","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-10-25T06:52:21Z","title":"Cold Atoms in Driven Optical Lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09087","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:a9e44b1aebeec3588ecd49352c057f85b2be21dc6e93fc66c60ef3323b9e440c","target":"record","created_at":"2026-05-18T00:32:00Z","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":"9e7504d93e030b10a396b3d76c4562a76251434d11afcd4a84a8cacfc903a315","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-10-25T06:52:21Z","title_canon_sha256":"77db0760234b9718608920f03eb8e395678302d407ac6d9fd12d0731792e37f6"},"schema_version":"1.0","source":{"id":"1710.09087","kind":"arxiv","version":1}},"canonical_sha256":"48271014ff8f0071ffe1d4db3590cde686d9493d4f56f88cf623f8722c57cd81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48271014ff8f0071ffe1d4db3590cde686d9493d4f56f88cf623f8722c57cd81","first_computed_at":"2026-05-18T00:32:00.395464Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:00.395464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m10H3FjY1ySLe65Xdmzg+IIxIrL8CTWlDebvsgtxvMUsRmGizkav1/n7H86Yzef0MM9tRQJPq/YnQgaTqB77Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:00.395919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.09087","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9e44b1aebeec3588ecd49352c057f85b2be21dc6e93fc66c60ef3323b9e440c","sha256:80928aca9ac5b39292fa5b704511bb9ca90db1707a89adc2bb8f5709d3de8fb8"],"state_sha256":"e1498cebafb345550314c0c8b44e8bd01b13d2b0254055012b7401db2bc1c99b"}