{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:55LZF2KNLWOGUJI4DAO5BNCNS7","short_pith_number":"pith:55LZF2KN","canonical_record":{"source":{"id":"1503.05837","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-03-19T16:44:41Z","cross_cats_sorted":[],"title_canon_sha256":"18876f6b0c2d1dfe880b6803d638aa4e38a0c3bc58c4afc09b90a1fdded06ee1","abstract_canon_sha256":"7a6adb6c8193cfe10d989095a99948876a03929510d6d22091589b5f1c8783d7"},"schema_version":"1.0"},"canonical_sha256":"ef5792e94d5d9c6a251c181dd0b44d97cc7bb857ce896b0c53f54b60c4507ede","source":{"kind":"arxiv","id":"1503.05837","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05837","created_at":"2026-05-18T02:20:51Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05837v1","created_at":"2026-05-18T02:20:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05837","created_at":"2026-05-18T02:20:51Z"},{"alias_kind":"pith_short_12","alias_value":"55LZF2KNLWOG","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"55LZF2KNLWOGUJI4","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"55LZF2KN","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:55LZF2KNLWOGUJI4DAO5BNCNS7","target":"record","payload":{"canonical_record":{"source":{"id":"1503.05837","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-03-19T16:44:41Z","cross_cats_sorted":[],"title_canon_sha256":"18876f6b0c2d1dfe880b6803d638aa4e38a0c3bc58c4afc09b90a1fdded06ee1","abstract_canon_sha256":"7a6adb6c8193cfe10d989095a99948876a03929510d6d22091589b5f1c8783d7"},"schema_version":"1.0"},"canonical_sha256":"ef5792e94d5d9c6a251c181dd0b44d97cc7bb857ce896b0c53f54b60c4507ede","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:51.044331Z","signature_b64":"QcKZ0KiIdlEmXG7qkfLJH5zOeSO3/GGMx9DFynvQye/lpBWIcKJIXIhAPaFIYzONEWjNUvXdzb0yHIXgVG3qBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef5792e94d5d9c6a251c181dd0b44d97cc7bb857ce896b0c53f54b60c4507ede","last_reissued_at":"2026-05-18T02:20:51.043686Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:51.043686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.05837","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":"2026-05-18T02:20:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bcC4rXMdbiDJC+Yy1/ZRVPfcudMJNQ7k6G4xnl8vE+eiFfxOl92ljzhy9C/j/ageA3D2NFXLJ6dRVFXP6BNPCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:28:06.097526Z"},"content_sha256":"120a39f0842e162d1304aa24d76f3479c8e3d8f024626ebfa01709bb14ec9004","schema_version":"1.0","event_id":"sha256:120a39f0842e162d1304aa24d76f3479c8e3d8f024626ebfa01709bb14ec9004"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:55LZF2KNLWOGUJI4DAO5BNCNS7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum phase transition in a shallow one-dimensional optical lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Tomasz Sowi\\'nski","submitted_at":"2015-03-19T16:44:41Z","abstract_excerpt":"In this article the extended Bose-Hubbard model describing ultra-cold atoms confined in a shallow, one-dimensional optical lattice is introduced and studied by the exact diagonalization approach. All parameters of the model are related to the only relevant parameter controlled experimentally -- the depth of the optical potential. Changes in a shape of the insulating lobe in the phase diagram of the system are explored and the value of the critical tunneling for which the system undergoes the phase transition (from the insulating to the superfluid phase) is predicted. It is shown that the value"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05837","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":"2026-05-18T02:20:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SS+pcYe36rw1/3v8GuJcALSQiwhKhwNfISYaSky0/IkxobSAQvnI9hUL+Oa7Nljj72ACp6hcxHe2yz7KG6gnDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:28:06.097920Z"},"content_sha256":"572f1ac5ca516e0517f603eba1511343b1c5f4647dd6153d5b848b24019e7b66","schema_version":"1.0","event_id":"sha256:572f1ac5ca516e0517f603eba1511343b1c5f4647dd6153d5b848b24019e7b66"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/55LZF2KNLWOGUJI4DAO5BNCNS7/bundle.json","state_url":"https://pith.science/pith/55LZF2KNLWOGUJI4DAO5BNCNS7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/55LZF2KNLWOGUJI4DAO5BNCNS7/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":"2026-05-29T17:28:06Z","links":{"resolver":"https://pith.science/pith/55LZF2KNLWOGUJI4DAO5BNCNS7","bundle":"https://pith.science/pith/55LZF2KNLWOGUJI4DAO5BNCNS7/bundle.json","state":"https://pith.science/pith/55LZF2KNLWOGUJI4DAO5BNCNS7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/55LZF2KNLWOGUJI4DAO5BNCNS7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:55LZF2KNLWOGUJI4DAO5BNCNS7","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":"7a6adb6c8193cfe10d989095a99948876a03929510d6d22091589b5f1c8783d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-03-19T16:44:41Z","title_canon_sha256":"18876f6b0c2d1dfe880b6803d638aa4e38a0c3bc58c4afc09b90a1fdded06ee1"},"schema_version":"1.0","source":{"id":"1503.05837","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05837","created_at":"2026-05-18T02:20:51Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05837v1","created_at":"2026-05-18T02:20:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05837","created_at":"2026-05-18T02:20:51Z"},{"alias_kind":"pith_short_12","alias_value":"55LZF2KNLWOG","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"55LZF2KNLWOGUJI4","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"55LZF2KN","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:572f1ac5ca516e0517f603eba1511343b1c5f4647dd6153d5b848b24019e7b66","target":"graph","created_at":"2026-05-18T02:20:51Z","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":"In this article the extended Bose-Hubbard model describing ultra-cold atoms confined in a shallow, one-dimensional optical lattice is introduced and studied by the exact diagonalization approach. All parameters of the model are related to the only relevant parameter controlled experimentally -- the depth of the optical potential. Changes in a shape of the insulating lobe in the phase diagram of the system are explored and the value of the critical tunneling for which the system undergoes the phase transition (from the insulating to the superfluid phase) is predicted. It is shown that the value","authors_text":"Tomasz Sowi\\'nski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-03-19T16:44:41Z","title":"Quantum phase transition in a shallow one-dimensional optical lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05837","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":"sha256:120a39f0842e162d1304aa24d76f3479c8e3d8f024626ebfa01709bb14ec9004","target":"record","created_at":"2026-05-18T02:20:51Z","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":"7a6adb6c8193cfe10d989095a99948876a03929510d6d22091589b5f1c8783d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-03-19T16:44:41Z","title_canon_sha256":"18876f6b0c2d1dfe880b6803d638aa4e38a0c3bc58c4afc09b90a1fdded06ee1"},"schema_version":"1.0","source":{"id":"1503.05837","kind":"arxiv","version":1}},"canonical_sha256":"ef5792e94d5d9c6a251c181dd0b44d97cc7bb857ce896b0c53f54b60c4507ede","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef5792e94d5d9c6a251c181dd0b44d97cc7bb857ce896b0c53f54b60c4507ede","first_computed_at":"2026-05-18T02:20:51.043686Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:51.043686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QcKZ0KiIdlEmXG7qkfLJH5zOeSO3/GGMx9DFynvQye/lpBWIcKJIXIhAPaFIYzONEWjNUvXdzb0yHIXgVG3qBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:51.044331Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.05837","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:120a39f0842e162d1304aa24d76f3479c8e3d8f024626ebfa01709bb14ec9004","sha256:572f1ac5ca516e0517f603eba1511343b1c5f4647dd6153d5b848b24019e7b66"],"state_sha256":"9acc35371dfe091ce57529c1a4ba3187d8a733ecef4af4749973cd44fc7601de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IVJgpSJDqypGhGXgczTkxBGTiwruahpwu6oC/91XeNl7VYa2olts39w1AEKcBNTiyD3jxAA/1LXz9YlfJrTsAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T17:28:06.100500Z","bundle_sha256":"84e27827d2390b92fd08eae5d7bb2171b0dbd3bc8272434bd0d0c1081207066e"}}