{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:UPF2LZZDX42IQFICEMBKZPWG6L","short_pith_number":"pith:UPF2LZZD","canonical_record":{"source":{"id":"cond-mat/0408437","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2004-08-19T18:02:40Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"25472d7af891e2d0f155cb179700d34c3ac1db9333e45702bc84c02f5cc22c41","abstract_canon_sha256":"cd0b7fcace28a16fc24f0ba8ded18ecd79df21f5e8b8cca98b6187da2c6e3af9"},"schema_version":"1.0"},"canonical_sha256":"a3cba5e723bf348815022302acbec6f2e89c7f5d08c57e9157d5d5282f14e05a","source":{"kind":"arxiv","id":"cond-mat/0408437","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0408437","created_at":"2026-05-18T03:24:32Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0408437v1","created_at":"2026-05-18T03:24:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0408437","created_at":"2026-05-18T03:24:32Z"},{"alias_kind":"pith_short_12","alias_value":"UPF2LZZDX42I","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"UPF2LZZDX42IQFIC","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"UPF2LZZD","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:UPF2LZZDX42IQFICEMBKZPWG6L","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0408437","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2004-08-19T18:02:40Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"25472d7af891e2d0f155cb179700d34c3ac1db9333e45702bc84c02f5cc22c41","abstract_canon_sha256":"cd0b7fcace28a16fc24f0ba8ded18ecd79df21f5e8b8cca98b6187da2c6e3af9"},"schema_version":"1.0"},"canonical_sha256":"a3cba5e723bf348815022302acbec6f2e89c7f5d08c57e9157d5d5282f14e05a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:32.255216Z","signature_b64":"utwouTrhpboX2pwkxWZ/HimOuAAoDuiKZHcc7ygb7qBMq7t4wiIiIy6Wn9gQyMj+8R66jUf5vaXypakciESCAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3cba5e723bf348815022302acbec6f2e89c7f5d08c57e9157d5d5282f14e05a","last_reissued_at":"2026-05-18T03:24:32.254788Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:32.254788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0408437","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":"2026-05-18T03:24:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ejFpZ9NfCRYfiGXNwbICP+gaZWPF6rIzqax3fpMAPGjTqPjvc9lKfkw9ZcwCyTpG9fEmwrRCWHkMoBLStoBiCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T21:41:35.767292Z"},"content_sha256":"54048d798429d7524f196e0bd1249a6021fa36d3543f10d0fa09eacf92ea9e78","schema_version":"1.0","event_id":"sha256:54048d798429d7524f196e0bd1249a6021fa36d3543f10d0fa09eacf92ea9e78"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:UPF2LZZDX42IQFICEMBKZPWG6L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mott-insulator phase of coupled 1D atomic gases in a 2D optical lattice","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.mes-hall","authors_text":"D.M. Gangardt, G.V. Shlyapnikov, L. Santos, P. Pedri","submitted_at":"2004-08-19T18:02:40Z","abstract_excerpt":"We discuss the 2D Mott insulator (MI) state of a 2D array of coupled finite size 1D Bose gases. It is shown that the momentum distribution in the lattice plane is very sensitive to the interaction regime in the 1D tubes. In particular, we find that the disappearance of the interference pattern in time of flight experiments will not be a signature of the MI phase, but a clear consequence of the strongly interacting Tonks-Girardeau regime along the tubes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0408437","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":"2026-05-18T03:24:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rKDKuL2jZdrSrwu0Ntbj1NGDkeV2748nYbVWYb7y9D+ozjlO42M3E085TB9IkJgKbk85E7RmdjZwBopcdx3PAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T21:41:35.767976Z"},"content_sha256":"1f7e650262e2d744ef4ada48192a094dc10916f41f897fb26a387d776c9b8288","schema_version":"1.0","event_id":"sha256:1f7e650262e2d744ef4ada48192a094dc10916f41f897fb26a387d776c9b8288"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UPF2LZZDX42IQFICEMBKZPWG6L/bundle.json","state_url":"https://pith.science/pith/UPF2LZZDX42IQFICEMBKZPWG6L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UPF2LZZDX42IQFICEMBKZPWG6L/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":"2026-05-24T21:41:35Z","links":{"resolver":"https://pith.science/pith/UPF2LZZDX42IQFICEMBKZPWG6L","bundle":"https://pith.science/pith/UPF2LZZDX42IQFICEMBKZPWG6L/bundle.json","state":"https://pith.science/pith/UPF2LZZDX42IQFICEMBKZPWG6L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UPF2LZZDX42IQFICEMBKZPWG6L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:UPF2LZZDX42IQFICEMBKZPWG6L","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":"cd0b7fcace28a16fc24f0ba8ded18ecd79df21f5e8b8cca98b6187da2c6e3af9","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2004-08-19T18:02:40Z","title_canon_sha256":"25472d7af891e2d0f155cb179700d34c3ac1db9333e45702bc84c02f5cc22c41"},"schema_version":"1.0","source":{"id":"cond-mat/0408437","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0408437","created_at":"2026-05-18T03:24:32Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0408437v1","created_at":"2026-05-18T03:24:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0408437","created_at":"2026-05-18T03:24:32Z"},{"alias_kind":"pith_short_12","alias_value":"UPF2LZZDX42I","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"UPF2LZZDX42IQFIC","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"UPF2LZZD","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:1f7e650262e2d744ef4ada48192a094dc10916f41f897fb26a387d776c9b8288","target":"graph","created_at":"2026-05-18T03:24:32Z","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 discuss the 2D Mott insulator (MI) state of a 2D array of coupled finite size 1D Bose gases. It is shown that the momentum distribution in the lattice plane is very sensitive to the interaction regime in the 1D tubes. In particular, we find that the disappearance of the interference pattern in time of flight experiments will not be a signature of the MI phase, but a clear consequence of the strongly interacting Tonks-Girardeau regime along the tubes.","authors_text":"D.M. Gangardt, G.V. Shlyapnikov, L. Santos, P. Pedri","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2004-08-19T18:02:40Z","title":"Mott-insulator phase of coupled 1D atomic gases in a 2D optical lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0408437","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":"sha256:54048d798429d7524f196e0bd1249a6021fa36d3543f10d0fa09eacf92ea9e78","target":"record","created_at":"2026-05-18T03:24:32Z","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":"cd0b7fcace28a16fc24f0ba8ded18ecd79df21f5e8b8cca98b6187da2c6e3af9","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2004-08-19T18:02:40Z","title_canon_sha256":"25472d7af891e2d0f155cb179700d34c3ac1db9333e45702bc84c02f5cc22c41"},"schema_version":"1.0","source":{"id":"cond-mat/0408437","kind":"arxiv","version":1}},"canonical_sha256":"a3cba5e723bf348815022302acbec6f2e89c7f5d08c57e9157d5d5282f14e05a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3cba5e723bf348815022302acbec6f2e89c7f5d08c57e9157d5d5282f14e05a","first_computed_at":"2026-05-18T03:24:32.254788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:32.254788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"utwouTrhpboX2pwkxWZ/HimOuAAoDuiKZHcc7ygb7qBMq7t4wiIiIy6Wn9gQyMj+8R66jUf5vaXypakciESCAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:32.255216Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0408437","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54048d798429d7524f196e0bd1249a6021fa36d3543f10d0fa09eacf92ea9e78","sha256:1f7e650262e2d744ef4ada48192a094dc10916f41f897fb26a387d776c9b8288"],"state_sha256":"b2bc4bc6b8ca6c58de9fd84357284bef4c10940aca70a6dc9d228cd08fa8e0cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/SB+uXZs14Y4i8rFgEYywvYghtWZUsqmQSx7LZQGY+01uGE+Nm1KT+j61ezaUq3fN//YO0W3COw8DAeQlPq8CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T21:41:35.771639Z","bundle_sha256":"8b36179aa2bd1cb2923be6d75ef8fe95896c8ef2aedbe75911b9632b364bffb3"}}