{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:GLYBP37Z44DN3FUUMOVQRUIHW4","short_pith_number":"pith:GLYBP37Z","canonical_record":{"source":{"id":"1002.4551","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-02-24T14:30:38Z","cross_cats_sorted":[],"title_canon_sha256":"cad37dcda055591e0e46de9372f0c8867b9f50d0b2e84e739ce3e35790bd122f","abstract_canon_sha256":"a2702ae6d4ea86f23e6381a150f59a7a1fe6d1a791529b22bdeca64f0c0b14da"},"schema_version":"1.0"},"canonical_sha256":"32f017eff9e706dd969463ab08d107b72cfe087c143636c9c74b07a241179bbf","source":{"kind":"arxiv","id":"1002.4551","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.4551","created_at":"2026-05-18T04:40:45Z"},{"alias_kind":"arxiv_version","alias_value":"1002.4551v1","created_at":"2026-05-18T04:40:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4551","created_at":"2026-05-18T04:40:45Z"},{"alias_kind":"pith_short_12","alias_value":"GLYBP37Z44DN","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GLYBP37Z44DN3FUU","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GLYBP37Z","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:GLYBP37Z44DN3FUUMOVQRUIHW4","target":"record","payload":{"canonical_record":{"source":{"id":"1002.4551","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-02-24T14:30:38Z","cross_cats_sorted":[],"title_canon_sha256":"cad37dcda055591e0e46de9372f0c8867b9f50d0b2e84e739ce3e35790bd122f","abstract_canon_sha256":"a2702ae6d4ea86f23e6381a150f59a7a1fe6d1a791529b22bdeca64f0c0b14da"},"schema_version":"1.0"},"canonical_sha256":"32f017eff9e706dd969463ab08d107b72cfe087c143636c9c74b07a241179bbf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:45.158117Z","signature_b64":"H8ER45W8xLOMJ/hd/QxrCjky0rDC057+Sp/UDrBHCXT1xWO6j3vbp9QdpQeNE4Iji0q/9uVzUe3+jBSBYdK3Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32f017eff9e706dd969463ab08d107b72cfe087c143636c9c74b07a241179bbf","last_reissued_at":"2026-05-18T04:40:45.157392Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:45.157392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.4551","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:40:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PfsRhxjv+9cZ/jgj6Hscan2Q9QGCbmqvVFevRy8ouslOJeO0uvayoGN87rQEn9G9RkCbwexPICieyKdFoSm8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T00:39:30.264087Z"},"content_sha256":"e9dddc5550555236f41e27728a40e2386f727107d646cc12157e2c394e73ff17","schema_version":"1.0","event_id":"sha256:e9dddc5550555236f41e27728a40e2386f727107d646cc12157e2c394e73ff17"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:GLYBP37Z44DN3FUUMOVQRUIHW4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Berry's Phase for Ultracold Atoms in an Accelerated Optical Lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"C. Yuce","submitted_at":"2010-02-24T14:30:38Z","abstract_excerpt":"Berry's phase is investigated for ultracold atoms in a frequency modulated optical lattice. It is shown that Berry's phase appears due to Bloch oscillation and the periodic motion of the optical lattice. Particularly, Berry's phase for ultracold atoms under the gravitational force in an oscillating tight-binding optical lattice is calculated analytically. It is found that the Berry's phase depends linearly on the amplitude of the oscillation of the optical lattice."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4551","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":""},"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":"2026-05-18T04:40:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XaFA1ZQuM9vZuHY+zHX3F4rVbmtafRn2zM+YFjxk7ieU7QsxNC7rOExTBTzSuWxsqTDv1ASocixtAonJVRQaDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T00:39:30.264922Z"},"content_sha256":"8db384dbe3d3072bac02068831a611bf7d62033697f5d0392fb32c3dfe712918","schema_version":"1.0","event_id":"sha256:8db384dbe3d3072bac02068831a611bf7d62033697f5d0392fb32c3dfe712918"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GLYBP37Z44DN3FUUMOVQRUIHW4/bundle.json","state_url":"https://pith.science/pith/GLYBP37Z44DN3FUUMOVQRUIHW4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GLYBP37Z44DN3FUUMOVQRUIHW4/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":"2026-06-11T00:39:30Z","links":{"resolver":"https://pith.science/pith/GLYBP37Z44DN3FUUMOVQRUIHW4","bundle":"https://pith.science/pith/GLYBP37Z44DN3FUUMOVQRUIHW4/bundle.json","state":"https://pith.science/pith/GLYBP37Z44DN3FUUMOVQRUIHW4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GLYBP37Z44DN3FUUMOVQRUIHW4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:GLYBP37Z44DN3FUUMOVQRUIHW4","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":"a2702ae6d4ea86f23e6381a150f59a7a1fe6d1a791529b22bdeca64f0c0b14da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-02-24T14:30:38Z","title_canon_sha256":"cad37dcda055591e0e46de9372f0c8867b9f50d0b2e84e739ce3e35790bd122f"},"schema_version":"1.0","source":{"id":"1002.4551","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.4551","created_at":"2026-05-18T04:40:45Z"},{"alias_kind":"arxiv_version","alias_value":"1002.4551v1","created_at":"2026-05-18T04:40:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4551","created_at":"2026-05-18T04:40:45Z"},{"alias_kind":"pith_short_12","alias_value":"GLYBP37Z44DN","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GLYBP37Z44DN3FUU","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GLYBP37Z","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:8db384dbe3d3072bac02068831a611bf7d62033697f5d0392fb32c3dfe712918","target":"graph","created_at":"2026-05-18T04:40:45Z","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":"Berry's phase is investigated for ultracold atoms in a frequency modulated optical lattice. It is shown that Berry's phase appears due to Bloch oscillation and the periodic motion of the optical lattice. Particularly, Berry's phase for ultracold atoms under the gravitational force in an oscillating tight-binding optical lattice is calculated analytically. It is found that the Berry's phase depends linearly on the amplitude of the oscillation of the optical lattice.","authors_text":"C. Yuce","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-02-24T14:30:38Z","title":"Berry's Phase for Ultracold Atoms in an Accelerated Optical Lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4551","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:e9dddc5550555236f41e27728a40e2386f727107d646cc12157e2c394e73ff17","target":"record","created_at":"2026-05-18T04:40:45Z","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":"a2702ae6d4ea86f23e6381a150f59a7a1fe6d1a791529b22bdeca64f0c0b14da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-02-24T14:30:38Z","title_canon_sha256":"cad37dcda055591e0e46de9372f0c8867b9f50d0b2e84e739ce3e35790bd122f"},"schema_version":"1.0","source":{"id":"1002.4551","kind":"arxiv","version":1}},"canonical_sha256":"32f017eff9e706dd969463ab08d107b72cfe087c143636c9c74b07a241179bbf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32f017eff9e706dd969463ab08d107b72cfe087c143636c9c74b07a241179bbf","first_computed_at":"2026-05-18T04:40:45.157392Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:45.157392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H8ER45W8xLOMJ/hd/QxrCjky0rDC057+Sp/UDrBHCXT1xWO6j3vbp9QdpQeNE4Iji0q/9uVzUe3+jBSBYdK3Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:45.158117Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.4551","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9dddc5550555236f41e27728a40e2386f727107d646cc12157e2c394e73ff17","sha256:8db384dbe3d3072bac02068831a611bf7d62033697f5d0392fb32c3dfe712918"],"state_sha256":"4d84e501ec9cc74912ab0cc71a44f983967880a0181573d01aec37cb84b81af1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y7FFCrq+eCMDuDbmG4/66BgQq+hXf5kSXCfQo+/uI2WYUT0N9t/JDTF0tGif0PYaiYOlFQfgJQLjWE/imhxGAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T00:39:30.269336Z","bundle_sha256":"979ac71e0cd03bf55861dd1de88270c8e8f11b54b2c08852e616484e9e1f481a"}}