{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FYUOEDG3ZNVPXGXN7OBZU6VHEH","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":"ad220c44d6d74e31ca659d9d0cc5fd036efdd625ccff6e744c6b060d449277dc","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-10-25T09:27:36Z","title_canon_sha256":"4acb427f57e919f7c3f80deae249bd3c39d1ad16c29e06bcb481d0ebc82532c2"},"schema_version":"1.0","source":{"id":"1210.6767","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.6767","created_at":"2026-05-18T03:33:25Z"},{"alias_kind":"arxiv_version","alias_value":"1210.6767v1","created_at":"2026-05-18T03:33:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.6767","created_at":"2026-05-18T03:33:25Z"},{"alias_kind":"pith_short_12","alias_value":"FYUOEDG3ZNVP","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FYUOEDG3ZNVPXGXN","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FYUOEDG3","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:796d67603c2c252281ddc0c920438d1b3bc05b84d1365b35bbf5a2864c0cacce","target":"graph","created_at":"2026-05-18T03:33:25Z","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 investigate bound states in the one-dimensional two-particle Bose-Hubbard model with an attractive ($V> 0$) impurity potential. This is a one-dimensional, discrete analogy of the hydrogen negative ion H$^-$ problem. There are several different types of bound states in this system, each of which appears in a specific region. For given $V$, there exists a (positive) critical value $U_{c1}$ of $U$, below which the ground state is a bound state. Interestingly, close to the critical value ($U\\lesssim U_{c1}$), the ground state can be described by the Chandrasekhar-type variational wave function,","authors_text":"Daniel Braak, J. M. Zhang, Marcus Kollar","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-10-25T09:27:36Z","title":"Bound states in the one-dimensional two-particle Hubbard model with an impurity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6767","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:e42e9be66639d65f8b6225bfbdbe5b9e20ec5f200a0bc66eb964d5216cc55bfc","target":"record","created_at":"2026-05-18T03:33:25Z","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":"ad220c44d6d74e31ca659d9d0cc5fd036efdd625ccff6e744c6b060d449277dc","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-10-25T09:27:36Z","title_canon_sha256":"4acb427f57e919f7c3f80deae249bd3c39d1ad16c29e06bcb481d0ebc82532c2"},"schema_version":"1.0","source":{"id":"1210.6767","kind":"arxiv","version":1}},"canonical_sha256":"2e28e20cdbcb6afb9aedfb839a7aa721d92cf228fa658f5f9279a3817e6ed72b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e28e20cdbcb6afb9aedfb839a7aa721d92cf228fa658f5f9279a3817e6ed72b","first_computed_at":"2026-05-18T03:33:25.530562Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:25.530562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8ZVYBUnrz/FQPYeED5mYJuhaxDd17PmBaGNsb1fQWxGtnGf7tHOv7Hoh2yX+EpljaKFvjSFPIIPY5HYBwv5GDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:25.531294Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.6767","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e42e9be66639d65f8b6225bfbdbe5b9e20ec5f200a0bc66eb964d5216cc55bfc","sha256:796d67603c2c252281ddc0c920438d1b3bc05b84d1365b35bbf5a2864c0cacce"],"state_sha256":"18cfe3ce6096014ceb510abb2bb938a509f6a56f0c26d544ac16c1cf18ed2cac"}