{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:6P74OTY47IWG7ZGDLBMTGEEAGJ","short_pith_number":"pith:6P74OTY4","canonical_record":{"source":{"id":"1303.2213","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-09T14:17:44Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"2baf107da7cf2381b7329d2c65bf4bb7425673af33321b4d055220813ca27ba8","abstract_canon_sha256":"e540c50cd601a09e5ceab7a51e723ae2f1c8eee4b11f0aedb5a32101136bba51"},"schema_version":"1.0"},"canonical_sha256":"f3ffc74f1cfa2c6fe4c358593310803262507b4545e99c9cdb50d9117130d44d","source":{"kind":"arxiv","id":"1303.2213","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2213","created_at":"2026-05-18T01:51:09Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2213v1","created_at":"2026-05-18T01:51:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2213","created_at":"2026-05-18T01:51:09Z"},{"alias_kind":"pith_short_12","alias_value":"6P74OTY47IWG","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6P74OTY47IWG7ZGD","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6P74OTY4","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:6P74OTY47IWG7ZGDLBMTGEEAGJ","target":"record","payload":{"canonical_record":{"source":{"id":"1303.2213","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-09T14:17:44Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"2baf107da7cf2381b7329d2c65bf4bb7425673af33321b4d055220813ca27ba8","abstract_canon_sha256":"e540c50cd601a09e5ceab7a51e723ae2f1c8eee4b11f0aedb5a32101136bba51"},"schema_version":"1.0"},"canonical_sha256":"f3ffc74f1cfa2c6fe4c358593310803262507b4545e99c9cdb50d9117130d44d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:09.356418Z","signature_b64":"z47aEvSYFMQRZznfSuHgk9GeO8CDQpf7r0qhYXwvPVwNRR6x6BWDmN00k1CeFokjBk8ag7nJYpOrbGyIAT/CCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3ffc74f1cfa2c6fe4c358593310803262507b4545e99c9cdb50d9117130d44d","last_reissued_at":"2026-05-18T01:51:09.355752Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:09.355752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.2213","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":"2026-05-18T01:51:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"63hlzxyU37cJmNNtzq+EIjdU6USyVAIkZu4kP3WNrpx3v+t0XKDnVB1eZFxeTHMIAusRndUjS5N5CPnC6su+Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T01:08:50.322459Z"},"content_sha256":"3c68d32e5419854c2bf6bde33a4d1f97f3fa36dde7d2d073070321518274f166","schema_version":"1.0","event_id":"sha256:3c68d32e5419854c2bf6bde33a4d1f97f3fa36dde7d2d073070321518274f166"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:6P74OTY47IWG7ZGDLBMTGEEAGJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ab initio derivation of Hubbard models for cold atoms in optical lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"D. Jaksch, G. Cotugno, R. Walters, S. R. Clark, T. H. Johnson","submitted_at":"2013-03-09T14:17:44Z","abstract_excerpt":"We derive ab initio local Hubbard models for several optical lattice potentials of current interest, including the honeycomb and Kagom\\'{e} lattices, verifying their accuracy on each occasion by comparing the interpolated band structures against the originals. To achieve this, we calculate the maximally-localized generalized Wannier basis by implementing the steepest-descent algorithm of Marzari and Vanderbilt [N. Marzari and D. Vanderbilt, Phys. Rev. B 56, 12847 (1997)] directly in one and two dimensions. To avoid local minima we develop an initialization procedure that is both robust and req"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2213","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":"2026-05-18T01:51:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n97wFQd2Jhi7PKQbl1vfRWKj/5PYsi8UwAIXX6NbAZPu9SWgfW4tllnbPImhqlI1hiIIwzrbSV7J3m8FXyQ8Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T01:08:50.323163Z"},"content_sha256":"33be26c08293df358d691dd058c503783136eb1b0d3e65e2bd0b8065abf5d8f9","schema_version":"1.0","event_id":"sha256:33be26c08293df358d691dd058c503783136eb1b0d3e65e2bd0b8065abf5d8f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6P74OTY47IWG7ZGDLBMTGEEAGJ/bundle.json","state_url":"https://pith.science/pith/6P74OTY47IWG7ZGDLBMTGEEAGJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6P74OTY47IWG7ZGDLBMTGEEAGJ/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":"2026-06-11T01:08:50Z","links":{"resolver":"https://pith.science/pith/6P74OTY47IWG7ZGDLBMTGEEAGJ","bundle":"https://pith.science/pith/6P74OTY47IWG7ZGDLBMTGEEAGJ/bundle.json","state":"https://pith.science/pith/6P74OTY47IWG7ZGDLBMTGEEAGJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6P74OTY47IWG7ZGDLBMTGEEAGJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6P74OTY47IWG7ZGDLBMTGEEAGJ","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":"e540c50cd601a09e5ceab7a51e723ae2f1c8eee4b11f0aedb5a32101136bba51","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-09T14:17:44Z","title_canon_sha256":"2baf107da7cf2381b7329d2c65bf4bb7425673af33321b4d055220813ca27ba8"},"schema_version":"1.0","source":{"id":"1303.2213","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2213","created_at":"2026-05-18T01:51:09Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2213v1","created_at":"2026-05-18T01:51:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2213","created_at":"2026-05-18T01:51:09Z"},{"alias_kind":"pith_short_12","alias_value":"6P74OTY47IWG","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6P74OTY47IWG7ZGD","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6P74OTY4","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:33be26c08293df358d691dd058c503783136eb1b0d3e65e2bd0b8065abf5d8f9","target":"graph","created_at":"2026-05-18T01:51:09Z","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 derive ab initio local Hubbard models for several optical lattice potentials of current interest, including the honeycomb and Kagom\\'{e} lattices, verifying their accuracy on each occasion by comparing the interpolated band structures against the originals. To achieve this, we calculate the maximally-localized generalized Wannier basis by implementing the steepest-descent algorithm of Marzari and Vanderbilt [N. Marzari and D. Vanderbilt, Phys. Rev. B 56, 12847 (1997)] directly in one and two dimensions. To avoid local minima we develop an initialization procedure that is both robust and req","authors_text":"D. Jaksch, G. Cotugno, R. Walters, S. R. Clark, T. H. Johnson","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-09T14:17:44Z","title":"Ab initio derivation of Hubbard models for cold atoms in optical lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2213","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":"sha256:3c68d32e5419854c2bf6bde33a4d1f97f3fa36dde7d2d073070321518274f166","target":"record","created_at":"2026-05-18T01:51:09Z","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":"e540c50cd601a09e5ceab7a51e723ae2f1c8eee4b11f0aedb5a32101136bba51","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-09T14:17:44Z","title_canon_sha256":"2baf107da7cf2381b7329d2c65bf4bb7425673af33321b4d055220813ca27ba8"},"schema_version":"1.0","source":{"id":"1303.2213","kind":"arxiv","version":1}},"canonical_sha256":"f3ffc74f1cfa2c6fe4c358593310803262507b4545e99c9cdb50d9117130d44d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3ffc74f1cfa2c6fe4c358593310803262507b4545e99c9cdb50d9117130d44d","first_computed_at":"2026-05-18T01:51:09.355752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:09.355752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z47aEvSYFMQRZznfSuHgk9GeO8CDQpf7r0qhYXwvPVwNRR6x6BWDmN00k1CeFokjBk8ag7nJYpOrbGyIAT/CCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:09.356418Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2213","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c68d32e5419854c2bf6bde33a4d1f97f3fa36dde7d2d073070321518274f166","sha256:33be26c08293df358d691dd058c503783136eb1b0d3e65e2bd0b8065abf5d8f9"],"state_sha256":"62f87cc57be17511a0175a881c4e68a49b6a287229e7a78aa9445cc89941fea8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KyQ8i4NZp10/ye3zAL8dHZqU00gXMbl0cTCQLIXGeD9uT4iDs2abbJIxumfbsxjUmh5MEuYCYmnR8VriVPF/DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T01:08:50.327217Z","bundle_sha256":"6fb468ad245ac2693d3de12bd8e6f988b47f0a259efded57c7082967bebefab3"}}