{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:U3LWYVEK7Q22YYXRCA6ZTPZ26F","short_pith_number":"pith:U3LWYVEK","canonical_record":{"source":{"id":"cond-mat/0601695","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-01-31T11:38:27Z","cross_cats_sorted":[],"title_canon_sha256":"5500c023bf74ab2015ac11f47ab0bc53ac257edc847ab55bb15750504dc815a8","abstract_canon_sha256":"dd835652fb3de039fd90eb25fbbb15253b6ad35c54283ab496652aa6418b5206"},"schema_version":"1.0"},"canonical_sha256":"a6d76c548afc35ac62f1103d99bf3af178071c49c6b8933d8e750e0ef088b2fb","source":{"kind":"arxiv","id":"cond-mat/0601695","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0601695","created_at":"2026-05-18T02:37:37Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0601695v1","created_at":"2026-05-18T02:37:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0601695","created_at":"2026-05-18T02:37:37Z"},{"alias_kind":"pith_short_12","alias_value":"U3LWYVEK7Q22","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"U3LWYVEK7Q22YYXR","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"U3LWYVEK","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:U3LWYVEK7Q22YYXRCA6ZTPZ26F","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0601695","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-01-31T11:38:27Z","cross_cats_sorted":[],"title_canon_sha256":"5500c023bf74ab2015ac11f47ab0bc53ac257edc847ab55bb15750504dc815a8","abstract_canon_sha256":"dd835652fb3de039fd90eb25fbbb15253b6ad35c54283ab496652aa6418b5206"},"schema_version":"1.0"},"canonical_sha256":"a6d76c548afc35ac62f1103d99bf3af178071c49c6b8933d8e750e0ef088b2fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:37.102028Z","signature_b64":"jKghmw1aUv2ZGxMP8tIH0kUREUmYhpLvNfwy5LPSGNMnSb+HqLXQJm/+w8jgf2UmpANtWU29kh2XGTpSjmTJBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6d76c548afc35ac62f1103d99bf3af178071c49c6b8933d8e750e0ef088b2fb","last_reissued_at":"2026-05-18T02:37:37.101563Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:37.101563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0601695","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":"2026-05-18T02:37:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VRN1G/CpodjIhXOy1MtHHdeklVhMAvcZ1Gp0MUpMIssTu4LSsEvW6WwJD93n4JZX4TfSC+llWtJiZutMIdH1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:00:54.121193Z"},"content_sha256":"3018f0214f1557ba2c6c13f54bf9d26c275774f98bad7f714c3ca5d06e02add6","schema_version":"1.0","event_id":"sha256:3018f0214f1557ba2c6c13f54bf9d26c275774f98bad7f714c3ca5d06e02add6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:U3LWYVEK7Q22YYXRCA6ZTPZ26F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vortex-lattice melting in a one-dimensional optical lattice","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"H.T.C. Stoof, Michiel Snoek","submitted_at":"2006-01-31T11:38:27Z","abstract_excerpt":"We investigate quantum fluctuations of a vortex lattice in a one-dimensional optical lattice. Our method gives full access to all the modes of the vortex lattice and we discuss in particular the Bloch bands of the Tkachenko modes. Because of the small number of particles in the pancake Bose-Einstein condensates at every site of the optical lattice, finite-size effects become very important. Therefore, the fluctuations in the vortex positions are inhomogeneous and the melting of the lattice occurs from the outside inwards. Tunneling between neighbouring pancakes substantially reduces the inhomo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0601695","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":"2026-05-18T02:37:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ao0QfXLSdBqTJhSJeYjX8Bs4XxF4f+hazoniKrnBgOJAV+G0JEnV74ulqxaJ2PtyeRbPGEBWLUQ9/P66HmEcAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:00:54.121919Z"},"content_sha256":"9ff31b4e565680fb4e8e9033ca21529ccdb232ff70c8e97a29c80355593ee702","schema_version":"1.0","event_id":"sha256:9ff31b4e565680fb4e8e9033ca21529ccdb232ff70c8e97a29c80355593ee702"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U3LWYVEK7Q22YYXRCA6ZTPZ26F/bundle.json","state_url":"https://pith.science/pith/U3LWYVEK7Q22YYXRCA6ZTPZ26F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U3LWYVEK7Q22YYXRCA6ZTPZ26F/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":"2026-05-27T18:00:54Z","links":{"resolver":"https://pith.science/pith/U3LWYVEK7Q22YYXRCA6ZTPZ26F","bundle":"https://pith.science/pith/U3LWYVEK7Q22YYXRCA6ZTPZ26F/bundle.json","state":"https://pith.science/pith/U3LWYVEK7Q22YYXRCA6ZTPZ26F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U3LWYVEK7Q22YYXRCA6ZTPZ26F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:U3LWYVEK7Q22YYXRCA6ZTPZ26F","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":"dd835652fb3de039fd90eb25fbbb15253b6ad35c54283ab496652aa6418b5206","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-01-31T11:38:27Z","title_canon_sha256":"5500c023bf74ab2015ac11f47ab0bc53ac257edc847ab55bb15750504dc815a8"},"schema_version":"1.0","source":{"id":"cond-mat/0601695","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0601695","created_at":"2026-05-18T02:37:37Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0601695v1","created_at":"2026-05-18T02:37:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0601695","created_at":"2026-05-18T02:37:37Z"},{"alias_kind":"pith_short_12","alias_value":"U3LWYVEK7Q22","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"U3LWYVEK7Q22YYXR","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"U3LWYVEK","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:9ff31b4e565680fb4e8e9033ca21529ccdb232ff70c8e97a29c80355593ee702","target":"graph","created_at":"2026-05-18T02:37:37Z","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":"We investigate quantum fluctuations of a vortex lattice in a one-dimensional optical lattice. Our method gives full access to all the modes of the vortex lattice and we discuss in particular the Bloch bands of the Tkachenko modes. Because of the small number of particles in the pancake Bose-Einstein condensates at every site of the optical lattice, finite-size effects become very important. Therefore, the fluctuations in the vortex positions are inhomogeneous and the melting of the lattice occurs from the outside inwards. Tunneling between neighbouring pancakes substantially reduces the inhomo","authors_text":"H.T.C. Stoof, Michiel Snoek","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-01-31T11:38:27Z","title":"Vortex-lattice melting in a one-dimensional optical lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0601695","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":"sha256:3018f0214f1557ba2c6c13f54bf9d26c275774f98bad7f714c3ca5d06e02add6","target":"record","created_at":"2026-05-18T02:37:37Z","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":"dd835652fb3de039fd90eb25fbbb15253b6ad35c54283ab496652aa6418b5206","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2006-01-31T11:38:27Z","title_canon_sha256":"5500c023bf74ab2015ac11f47ab0bc53ac257edc847ab55bb15750504dc815a8"},"schema_version":"1.0","source":{"id":"cond-mat/0601695","kind":"arxiv","version":1}},"canonical_sha256":"a6d76c548afc35ac62f1103d99bf3af178071c49c6b8933d8e750e0ef088b2fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6d76c548afc35ac62f1103d99bf3af178071c49c6b8933d8e750e0ef088b2fb","first_computed_at":"2026-05-18T02:37:37.101563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:37.101563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jKghmw1aUv2ZGxMP8tIH0kUREUmYhpLvNfwy5LPSGNMnSb+HqLXQJm/+w8jgf2UmpANtWU29kh2XGTpSjmTJBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:37.102028Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0601695","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3018f0214f1557ba2c6c13f54bf9d26c275774f98bad7f714c3ca5d06e02add6","sha256:9ff31b4e565680fb4e8e9033ca21529ccdb232ff70c8e97a29c80355593ee702"],"state_sha256":"4b755d7dcc441713880391ce5a8e2890876f46379f5c4afca16990d9cbbfee54"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gyyQV1dsyRV3zOW3LHOstKS/u8twOXEKp8U7uSCob/u7v44eN2DGdIO/DSXUy74GvL55JgN2qEx+LMquH1QQCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:00:54.125515Z","bundle_sha256":"88167c54de41d73635862200f4fc7e4bd0f321334dd5cc50c8a23a0cb5298f70"}}