{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RWJ24TEEYJWY2Z663S5LH34PUP","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":"878da3a8b3062c22abb5f28b639963f2bc36f9b84c686ffabb0cf8308451f5d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2017-09-07T06:28:52Z","title_canon_sha256":"6d7c38a6fa0829c7a1f1949b52c65ed51bb31f2252584bea3ea4bd6cf55eb833"},"schema_version":"1.0","source":{"id":"1709.02090","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.02090","created_at":"2026-05-18T00:35:50Z"},{"alias_kind":"arxiv_version","alias_value":"1709.02090v1","created_at":"2026-05-18T00:35:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.02090","created_at":"2026-05-18T00:35:50Z"},{"alias_kind":"pith_short_12","alias_value":"RWJ24TEEYJWY","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"RWJ24TEEYJWY2Z66","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"RWJ24TEE","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:51dfbb8697d23de57bec8e3846bb0a9aa823ed9ccc7fa3883895b989506e3d1c","target":"graph","created_at":"2026-05-18T00:35:50Z","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 relation of $a^\\dagger a$ terms in the collective operator to the higher-order terms in the adiabatic self-consistent collective coordinate (ASCC) method. In the ASCC method, a state vector is written as $e^{i\\hat G(q,p,n)}|\\phi(q)\\rangle$ with $\\hat G(q,p,n)$ which is a function of collective coordinate $q$, its conjugate momentum $p$ and the particle number $n$. According to the generalized Thouless theorem, $\\hat G$ can be written as a linear combination of two-quasiparticle creation and annihilation operators $a^\\dagger_\\mu a^\\dagger_\\nu$ and $a_\\nu a_\\mu$. We show that,","authors_text":"Koichi Sato","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2017-09-07T06:28:52Z","title":"Relation of $a^\\dagger a$ terms to higher-order terms in the adiabatic expansion for large-amplitude collective motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.02090","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":"sha256:90d6d457664616adaf2fb7a8d793fd6f5cb2b511725ecad6cebbf0f7f3573b9f","target":"record","created_at":"2026-05-18T00:35:50Z","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":"878da3a8b3062c22abb5f28b639963f2bc36f9b84c686ffabb0cf8308451f5d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2017-09-07T06:28:52Z","title_canon_sha256":"6d7c38a6fa0829c7a1f1949b52c65ed51bb31f2252584bea3ea4bd6cf55eb833"},"schema_version":"1.0","source":{"id":"1709.02090","kind":"arxiv","version":1}},"canonical_sha256":"8d93ae4c84c26d8d67dedcbab3ef8fa3ec6d57cc12ade14f407997b36378e219","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d93ae4c84c26d8d67dedcbab3ef8fa3ec6d57cc12ade14f407997b36378e219","first_computed_at":"2026-05-18T00:35:50.270511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:50.270511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d781b1E01IcrtivL7a7TpkYPi67A4dfBfBtMl7QxLnOFMhea6LIPr/rMCe/qdiOOLH57s1ECPcz/o0/oh6eDAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:50.271019Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.02090","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90d6d457664616adaf2fb7a8d793fd6f5cb2b511725ecad6cebbf0f7f3573b9f","sha256:51dfbb8697d23de57bec8e3846bb0a9aa823ed9ccc7fa3883895b989506e3d1c"],"state_sha256":"f155522e7d02f87de735096a043e402a9e3ded2c823030e7614b8c4507b47afd"}