{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:47VDYB6TWALGW4FI64HVWCJ7GY","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":"e6b8bc26269c14aecc5a273c0c169b06f21dff98e91a30261d6b140efcf8ac75","cross_cats_sorted":["physics.atom-ph"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-04-02T15:33:43Z","title_canon_sha256":"6683fb6493e976b78f2773d076b2447ed93b71be8a29f75b4a70b9d80f5e8a34"},"schema_version":"1.0","source":{"id":"cond-mat/0304063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0304063","created_at":"2026-07-04T16:38:35Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0304063v1","created_at":"2026-07-04T16:38:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0304063","created_at":"2026-07-04T16:38:35Z"},{"alias_kind":"pith_short_12","alias_value":"47VDYB6TWALG","created_at":"2026-07-04T16:38:35Z"},{"alias_kind":"pith_short_16","alias_value":"47VDYB6TWALGW4FI","created_at":"2026-07-04T16:38:35Z"},{"alias_kind":"pith_short_8","alias_value":"47VDYB6T","created_at":"2026-07-04T16:38:35Z"}],"graph_snapshots":[{"event_id":"sha256:5db89d168061a641428747f43bd51200e50f067af1c156f7d6914a785292bdf8","target":"graph","created_at":"2026-07-04T16:38:35Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0304063/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the zero temperature phase diagram of a gas of bosonic atoms in one- and two-color standing-wave lattices in the framework of the Bose-Hubbard model. We first introduce some relevant physical quantities; superfluid fraction, condensate fraction, quasimomentum distribution, and matter-wave interference pattern. We then discuss the relationships between them on the formal level and show that the superfluid fraction, which is the relevant order parameter for the superfluid to Mott-insulator transition, cannot be probed directly via the matter wave interference patterns. The formal ","authors_text":"K. Burnett, R. Roth","cross_cats":["physics.atom-ph"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-04-02T15:33:43Z","title":"Phase Diagram of Bosonic Atoms in Two-Color Superlattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0304063","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":"sha256:3536f199898bb545f4d651606102a5a46977235cc13ee7611e8183d06d2b5436","target":"record","created_at":"2026-07-04T16:38:35Z","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":"e6b8bc26269c14aecc5a273c0c169b06f21dff98e91a30261d6b140efcf8ac75","cross_cats_sorted":["physics.atom-ph"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-04-02T15:33:43Z","title_canon_sha256":"6683fb6493e976b78f2773d076b2447ed93b71be8a29f75b4a70b9d80f5e8a34"},"schema_version":"1.0","source":{"id":"cond-mat/0304063","kind":"arxiv","version":1}},"canonical_sha256":"e7ea3c07d3b0166b70a8f70f5b093f36136278fc8e9240c5b2d202bd4f20260a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7ea3c07d3b0166b70a8f70f5b093f36136278fc8e9240c5b2d202bd4f20260a","first_computed_at":"2026-07-04T16:38:35.470399Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:38:35.470399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zxbG83GGnWrxMt1T30+zBf1wb24yJUJOhCY9KCoI3A+WPZRpAzhczfr9w/rA2nlEeqvHwVKucXsmjTbE4uknBg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:38:35.470774Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0304063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3536f199898bb545f4d651606102a5a46977235cc13ee7611e8183d06d2b5436","sha256:5db89d168061a641428747f43bd51200e50f067af1c156f7d6914a785292bdf8"],"state_sha256":"324307fe2a585b55fc02b2e73f5f9f2e2641a29b18b442aebd9bd3b9e3f9155f"}