{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:I55XE5C66XMUCHJIXRBXTQRWSM","short_pith_number":"pith:I55XE5C6","canonical_record":{"source":{"id":"0809.1486","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2008-09-09T06:35:40Z","cross_cats_sorted":[],"title_canon_sha256":"d9d4a72c4d90f787ffecf3bc098de340940a64610fd096a5daa4c44d34d12c4e","abstract_canon_sha256":"058f292f60460a6a9b2a05a34f0ca6baebd7917e3338beaf0860981e3b033c98"},"schema_version":"1.0"},"canonical_sha256":"477b72745ef5d9411d28bc4379c2369306cacc3d9221f2dacedb378bd0844b8b","source":{"kind":"arxiv","id":"0809.1486","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.1486","created_at":"2026-05-18T03:18:38Z"},{"alias_kind":"arxiv_version","alias_value":"0809.1486v1","created_at":"2026-05-18T03:18:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.1486","created_at":"2026-05-18T03:18:38Z"},{"alias_kind":"pith_short_12","alias_value":"I55XE5C66XMU","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"I55XE5C66XMUCHJI","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"I55XE5C6","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:I55XE5C66XMUCHJIXRBXTQRWSM","target":"record","payload":{"canonical_record":{"source":{"id":"0809.1486","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2008-09-09T06:35:40Z","cross_cats_sorted":[],"title_canon_sha256":"d9d4a72c4d90f787ffecf3bc098de340940a64610fd096a5daa4c44d34d12c4e","abstract_canon_sha256":"058f292f60460a6a9b2a05a34f0ca6baebd7917e3338beaf0860981e3b033c98"},"schema_version":"1.0"},"canonical_sha256":"477b72745ef5d9411d28bc4379c2369306cacc3d9221f2dacedb378bd0844b8b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:38.904242Z","signature_b64":"9BWa6r1gETnjD3V09HWSVPRk7fcy3gl5rTHLtXlxmLsy9znLlTH57SXJD/RIRPf7EqYoKHJ9ZpY97JfZ8/SxAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"477b72745ef5d9411d28bc4379c2369306cacc3d9221f2dacedb378bd0844b8b","last_reissued_at":"2026-05-18T03:18:38.903596Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:38.903596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0809.1486","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":"2026-05-18T03:18:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1VCK6dMp5VulQycB+vtLZP6aXYB6qQPYxwjJBFqyw2vqwmFhTGdA7aJMNNv4A/UnS+KuvrT4jagCfiyDZGMLDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:47:50.421132Z"},"content_sha256":"fbdcff1246beed1fc5884f40d8672b3032fccf2455aaa0eab0514a7effaf12d9","schema_version":"1.0","event_id":"sha256:fbdcff1246beed1fc5884f40d8672b3032fccf2455aaa0eab0514a7effaf12d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:I55XE5C66XMUCHJIXRBXTQRWSM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Bose-Hubbard ground state: extended Bogoliubov and variational methods compared with time-evolving block decimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Ippei Danshita, Pascal Naidon","submitted_at":"2008-09-09T06:35:40Z","abstract_excerpt":"We determine the ground-state properties of a gas of interacting bosonic atoms in a one-dimensional optical lattice. The system is modelled by the Bose-Hubbard Hamiltonian. We show how to apply the time-evolving block decimation method to systems with periodic boundary conditions, and employ it as a reference to find the ground state of the Bose-Hubbard model. Results are compared with recently proposed approximate methods, such as Hartree-Fock-Bogoliubov (HFB) theories generalised for strong interactions and the variational Bijl-Dingle-Jastrow method. We find that all HFB methods do not bring"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.1486","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":"2026-05-18T03:18:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lYp89NHzjnYb6wHXIR7WomBS1jTR5Hm2SfhyNXhYH8HsqVT47o9sVGPFza1czTFM1RkewI5/l7Lnr9ZfsQHpBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:47:50.421838Z"},"content_sha256":"e8fe6363a699223fd489d69f9c96dce75ed69038a0465e281b642d9ce9bcc2ff","schema_version":"1.0","event_id":"sha256:e8fe6363a699223fd489d69f9c96dce75ed69038a0465e281b642d9ce9bcc2ff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I55XE5C66XMUCHJIXRBXTQRWSM/bundle.json","state_url":"https://pith.science/pith/I55XE5C66XMUCHJIXRBXTQRWSM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I55XE5C66XMUCHJIXRBXTQRWSM/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":"2026-06-11T08:47:50Z","links":{"resolver":"https://pith.science/pith/I55XE5C66XMUCHJIXRBXTQRWSM","bundle":"https://pith.science/pith/I55XE5C66XMUCHJIXRBXTQRWSM/bundle.json","state":"https://pith.science/pith/I55XE5C66XMUCHJIXRBXTQRWSM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I55XE5C66XMUCHJIXRBXTQRWSM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:I55XE5C66XMUCHJIXRBXTQRWSM","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":"058f292f60460a6a9b2a05a34f0ca6baebd7917e3338beaf0860981e3b033c98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2008-09-09T06:35:40Z","title_canon_sha256":"d9d4a72c4d90f787ffecf3bc098de340940a64610fd096a5daa4c44d34d12c4e"},"schema_version":"1.0","source":{"id":"0809.1486","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.1486","created_at":"2026-05-18T03:18:38Z"},{"alias_kind":"arxiv_version","alias_value":"0809.1486v1","created_at":"2026-05-18T03:18:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.1486","created_at":"2026-05-18T03:18:38Z"},{"alias_kind":"pith_short_12","alias_value":"I55XE5C66XMU","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"I55XE5C66XMUCHJI","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"I55XE5C6","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:e8fe6363a699223fd489d69f9c96dce75ed69038a0465e281b642d9ce9bcc2ff","target":"graph","created_at":"2026-05-18T03:18:38Z","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 determine the ground-state properties of a gas of interacting bosonic atoms in a one-dimensional optical lattice. The system is modelled by the Bose-Hubbard Hamiltonian. We show how to apply the time-evolving block decimation method to systems with periodic boundary conditions, and employ it as a reference to find the ground state of the Bose-Hubbard model. Results are compared with recently proposed approximate methods, such as Hartree-Fock-Bogoliubov (HFB) theories generalised for strong interactions and the variational Bijl-Dingle-Jastrow method. We find that all HFB methods do not bring","authors_text":"Ippei Danshita, Pascal Naidon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2008-09-09T06:35:40Z","title":"The Bose-Hubbard ground state: extended Bogoliubov and variational methods compared with time-evolving block decimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.1486","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:fbdcff1246beed1fc5884f40d8672b3032fccf2455aaa0eab0514a7effaf12d9","target":"record","created_at":"2026-05-18T03:18:38Z","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":"058f292f60460a6a9b2a05a34f0ca6baebd7917e3338beaf0860981e3b033c98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2008-09-09T06:35:40Z","title_canon_sha256":"d9d4a72c4d90f787ffecf3bc098de340940a64610fd096a5daa4c44d34d12c4e"},"schema_version":"1.0","source":{"id":"0809.1486","kind":"arxiv","version":1}},"canonical_sha256":"477b72745ef5d9411d28bc4379c2369306cacc3d9221f2dacedb378bd0844b8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"477b72745ef5d9411d28bc4379c2369306cacc3d9221f2dacedb378bd0844b8b","first_computed_at":"2026-05-18T03:18:38.903596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:38.903596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9BWa6r1gETnjD3V09HWSVPRk7fcy3gl5rTHLtXlxmLsy9znLlTH57SXJD/RIRPf7EqYoKHJ9ZpY97JfZ8/SxAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:38.904242Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.1486","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbdcff1246beed1fc5884f40d8672b3032fccf2455aaa0eab0514a7effaf12d9","sha256:e8fe6363a699223fd489d69f9c96dce75ed69038a0465e281b642d9ce9bcc2ff"],"state_sha256":"a410f63910629c7af924c0936031c909d8167b846632e44dc14f6da6c754ba8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OIuf3ybGFnEFIl6qJ23C66omFpMSQ+5SIa48lAtT9r4Jp8ivrxCNYQ+FNyHyOG5eSuxvlfMa7oHPU3YaX/hjBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T08:47:50.425693Z","bundle_sha256":"f1a1289282004c4fcb092c049aaa10eae34e61479d115d9a5a188da12f9d6f60"}}