{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:RKGWDBW2I2DTGVVVA3RET4RDQN","short_pith_number":"pith:RKGWDBW2","schema_version":"1.0","canonical_sha256":"8a8d6186da46873356b506e249f223837a7d44bfe6b60c62c6645877938351e6","source":{"kind":"arxiv","id":"1908.01873","version":2},"attestation_state":"computed","paper":{"title":"The union of rotational and vibrational modes in generator-coordinate-type calculations, with application to neutrinoless double-beta decay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"Calvin W. Johnson, Changfeng Jiao","submitted_at":"2019-08-05T21:52:40Z","abstract_excerpt":"Good many-body methods for medium and heavy nuclei are important. Here we combine ideas from standard generator-coordinate methods (GCM) and the so-called Monte Carlo shell model, and set forth a novel approach: starting from a mean-field solution (Hartree-Fock-Bogoliubov), we create a set of non-orthogonal basis states, by using low-lying vibrational quasiparticleTamm-Dancoff modes, and then project onto states of good angular momentum and particle number. The results we benchmark against full shell model calculations. Even with just a few such modes we find improvement over standard GCM calc"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1908.01873","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2019-08-05T21:52:40Z","cross_cats_sorted":[],"title_canon_sha256":"11dd31d4c78f3790c9c5676917575014500d3504e1d5849241a617914b0f76dd","abstract_canon_sha256":"a2ee5d6f4383e7376e3caca4e6ac58835a0d36df3c08b07ce991031dcae04e65"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:09:02.528333Z","signature_b64":"FcBUAGiYPVp0ncz3p+sC9lTYITtymypQh42QpiMU4Ftw1qHM6OP2t/cB50FSYrQjsdxwVldem9DFkfUMXQVzAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a8d6186da46873356b506e249f223837a7d44bfe6b60c62c6645877938351e6","last_reissued_at":"2026-07-05T00:09:02.527911Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:09:02.527911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The union of rotational and vibrational modes in generator-coordinate-type calculations, with application to neutrinoless double-beta decay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"Calvin W. Johnson, Changfeng Jiao","submitted_at":"2019-08-05T21:52:40Z","abstract_excerpt":"Good many-body methods for medium and heavy nuclei are important. Here we combine ideas from standard generator-coordinate methods (GCM) and the so-called Monte Carlo shell model, and set forth a novel approach: starting from a mean-field solution (Hartree-Fock-Bogoliubov), we create a set of non-orthogonal basis states, by using low-lying vibrational quasiparticleTamm-Dancoff modes, and then project onto states of good angular momentum and particle number. The results we benchmark against full shell model calculations. Even with just a few such modes we find improvement over standard GCM calc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01873","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.01873/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1908.01873","created_at":"2026-07-05T00:09:02.527969+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.01873v2","created_at":"2026-07-05T00:09:02.527969+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01873","created_at":"2026-07-05T00:09:02.527969+00:00"},{"alias_kind":"pith_short_12","alias_value":"RKGWDBW2I2DT","created_at":"2026-07-05T00:09:02.527969+00:00"},{"alias_kind":"pith_short_16","alias_value":"RKGWDBW2I2DTGVVV","created_at":"2026-07-05T00:09:02.527969+00:00"},{"alias_kind":"pith_short_8","alias_value":"RKGWDBW2","created_at":"2026-07-05T00:09:02.527969+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RKGWDBW2I2DTGVVVA3RET4RDQN","json":"https://pith.science/pith/RKGWDBW2I2DTGVVVA3RET4RDQN.json","graph_json":"https://pith.science/api/pith-number/RKGWDBW2I2DTGVVVA3RET4RDQN/graph.json","events_json":"https://pith.science/api/pith-number/RKGWDBW2I2DTGVVVA3RET4RDQN/events.json","paper":"https://pith.science/paper/RKGWDBW2"},"agent_actions":{"view_html":"https://pith.science/pith/RKGWDBW2I2DTGVVVA3RET4RDQN","download_json":"https://pith.science/pith/RKGWDBW2I2DTGVVVA3RET4RDQN.json","view_paper":"https://pith.science/paper/RKGWDBW2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.01873&json=true","fetch_graph":"https://pith.science/api/pith-number/RKGWDBW2I2DTGVVVA3RET4RDQN/graph.json","fetch_events":"https://pith.science/api/pith-number/RKGWDBW2I2DTGVVVA3RET4RDQN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RKGWDBW2I2DTGVVVA3RET4RDQN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RKGWDBW2I2DTGVVVA3RET4RDQN/action/storage_attestation","attest_author":"https://pith.science/pith/RKGWDBW2I2DTGVVVA3RET4RDQN/action/author_attestation","sign_citation":"https://pith.science/pith/RKGWDBW2I2DTGVVVA3RET4RDQN/action/citation_signature","submit_replication":"https://pith.science/pith/RKGWDBW2I2DTGVVVA3RET4RDQN/action/replication_record"}},"created_at":"2026-07-05T00:09:02.527969+00:00","updated_at":"2026-07-05T00:09:02.527969+00:00"}