{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OQJZF6EXIQC3QGRAOAE5DCTEA4","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":"d32386f652f58e47e649b548464b75b403229b3e3f79f5dd4e359df7be4826e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-07-31T16:07:54Z","title_canon_sha256":"35fa91313f0322f667e2553530fe09aa544dd01f5d31d2bf00686ba434e1c1a0"},"schema_version":"1.0","source":{"id":"1707.09934","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.09934","created_at":"2026-05-18T00:29:18Z"},{"alias_kind":"arxiv_version","alias_value":"1707.09934v3","created_at":"2026-05-18T00:29:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09934","created_at":"2026-05-18T00:29:18Z"},{"alias_kind":"pith_short_12","alias_value":"OQJZF6EXIQC3","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OQJZF6EXIQC3QGRA","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OQJZF6EX","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:ea6772bc5df94deda4431b5752224afda17f1580a6a8fa86db8f85f1c236bb3b","target":"graph","created_at":"2026-05-18T00:29:18Z","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 the weak excitations of a system made up of two condensates trapped in a Bose-Hubbard ring and coupled by an interspecies repulsive interaction. Our approach, based on the Bogoliubov approximation scheme, shows that one can reduce the problem Hamiltonian to the sum of sub-Hamiltonians $\\hat{H}_k$, each one associated to momentum modes $\\pm k$. Each $\\hat{H}_k$ is then recognized to be an element of a dynamical algebra. This uncommon and remarkable property allows us to present a straightforward diagonalization scheme, to find constants of motion, to highlight the significant mic","authors_text":"Andrea Richaud, Vittorio Penna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-07-31T16:07:54Z","title":"Two-species boson mixture on a ring: A group theoretic approach to the quantum dynamics of low-energy excitations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09934","kind":"arxiv","version":3},"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:be62acf3fe8c911f1aa3e83944d3ed08a73201ce5c857f9b1199cbbeb6881db4","target":"record","created_at":"2026-05-18T00:29:18Z","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":"d32386f652f58e47e649b548464b75b403229b3e3f79f5dd4e359df7be4826e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-07-31T16:07:54Z","title_canon_sha256":"35fa91313f0322f667e2553530fe09aa544dd01f5d31d2bf00686ba434e1c1a0"},"schema_version":"1.0","source":{"id":"1707.09934","kind":"arxiv","version":3}},"canonical_sha256":"741392f8974405b81a207009d18a64072614aa6402cabfa49b11601e8de05c79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"741392f8974405b81a207009d18a64072614aa6402cabfa49b11601e8de05c79","first_computed_at":"2026-05-18T00:29:18.543788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:18.543788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M1aq7mLZSa78vYBjfjkRTap9tYl12qFYn3VvkpbltnP9IC4pRcQc1gkGi8fQuKUysVPKtRiz20o/Vt+wfcTyDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:18.545255Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.09934","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be62acf3fe8c911f1aa3e83944d3ed08a73201ce5c857f9b1199cbbeb6881db4","sha256:ea6772bc5df94deda4431b5752224afda17f1580a6a8fa86db8f85f1c236bb3b"],"state_sha256":"6f1558b8c31c029b64806229b1a3ad1eaa7c15afe26875d7603e3a6a0bc0b42f"}