{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:RWD6KFYWJRJECMLPT2TFJP4SKP","short_pith_number":"pith:RWD6KFYW","schema_version":"1.0","canonical_sha256":"8d87e517164c5241316f9ea654bf9253c65cd24c14c6242d73afcdd902501e4c","source":{"kind":"arxiv","id":"2412.14881","version":2},"attestation_state":"computed","paper":{"title":"The boson number hypothesis and the boson number odd-even effect in $^{196-204}$Hg","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"Chun-xiao Zhou, Lorenzo Fortunato, Tao Wang","submitted_at":"2024-12-19T14:17:37Z","abstract_excerpt":"In the SU3-IBM the oblate shape is described by the \\textrm{SU(3)} third-order Casimir operator in the large-$N$ limit. However for finite $N$, this interaction can produce a boson number odd-even effect. In this Letter, we find that, the unique odd-even effect really exists in the nuclei $^{196-204}$Hg. This finding implies that realistic low-lying excitations are sensitive to certain boson number $N$. The boson number hypothesis is verified for the first time since the advent of the interacting boson model. This also proves the accuracy and validity of the SU3-IBM directly. The SU(3) symmetr"},"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":"2412.14881","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nucl-th","submitted_at":"2024-12-19T14:17:37Z","cross_cats_sorted":[],"title_canon_sha256":"ad052cbde682a447f0c7905afff089ece2df0c0fc31d03131f04d774ccdedf1b","abstract_canon_sha256":"108d9459a853f5db55571d74a1eabfcaf1612c02aac6405976acd618c41812d0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:21:27.479411Z","signature_b64":"c9IOeSOm2qRoR7WwwHi62z15sS14fvwmiIkhPr1wGBwEQXwh5RBz4dOo8CgETYz91Ltfynz4MNaGmXCbOHIVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d87e517164c5241316f9ea654bf9253c65cd24c14c6242d73afcdd902501e4c","last_reissued_at":"2026-07-05T10:21:27.478831Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:21:27.478831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The boson number hypothesis and the boson number odd-even effect in $^{196-204}$Hg","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"Chun-xiao Zhou, Lorenzo Fortunato, Tao Wang","submitted_at":"2024-12-19T14:17:37Z","abstract_excerpt":"In the SU3-IBM the oblate shape is described by the \\textrm{SU(3)} third-order Casimir operator in the large-$N$ limit. However for finite $N$, this interaction can produce a boson number odd-even effect. In this Letter, we find that, the unique odd-even effect really exists in the nuclei $^{196-204}$Hg. This finding implies that realistic low-lying excitations are sensitive to certain boson number $N$. The boson number hypothesis is verified for the first time since the advent of the interacting boson model. This also proves the accuracy and validity of the SU3-IBM directly. The SU(3) symmetr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.14881","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/2412.14881/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":"2412.14881","created_at":"2026-07-05T10:21:27.478896+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.14881v2","created_at":"2026-07-05T10:21:27.478896+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.14881","created_at":"2026-07-05T10:21:27.478896+00:00"},{"alias_kind":"pith_short_12","alias_value":"RWD6KFYWJRJE","created_at":"2026-07-05T10:21:27.478896+00:00"},{"alias_kind":"pith_short_16","alias_value":"RWD6KFYWJRJECMLP","created_at":"2026-07-05T10:21:27.478896+00:00"},{"alias_kind":"pith_short_8","alias_value":"RWD6KFYW","created_at":"2026-07-05T10:21:27.478896+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.04584","citing_title":"Rigid triaxiality has the SU(3) symmetry: $^{166}$Er as an example","ref_index":47,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RWD6KFYWJRJECMLPT2TFJP4SKP","json":"https://pith.science/pith/RWD6KFYWJRJECMLPT2TFJP4SKP.json","graph_json":"https://pith.science/api/pith-number/RWD6KFYWJRJECMLPT2TFJP4SKP/graph.json","events_json":"https://pith.science/api/pith-number/RWD6KFYWJRJECMLPT2TFJP4SKP/events.json","paper":"https://pith.science/paper/RWD6KFYW"},"agent_actions":{"view_html":"https://pith.science/pith/RWD6KFYWJRJECMLPT2TFJP4SKP","download_json":"https://pith.science/pith/RWD6KFYWJRJECMLPT2TFJP4SKP.json","view_paper":"https://pith.science/paper/RWD6KFYW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.14881&json=true","fetch_graph":"https://pith.science/api/pith-number/RWD6KFYWJRJECMLPT2TFJP4SKP/graph.json","fetch_events":"https://pith.science/api/pith-number/RWD6KFYWJRJECMLPT2TFJP4SKP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RWD6KFYWJRJECMLPT2TFJP4SKP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RWD6KFYWJRJECMLPT2TFJP4SKP/action/storage_attestation","attest_author":"https://pith.science/pith/RWD6KFYWJRJECMLPT2TFJP4SKP/action/author_attestation","sign_citation":"https://pith.science/pith/RWD6KFYWJRJECMLPT2TFJP4SKP/action/citation_signature","submit_replication":"https://pith.science/pith/RWD6KFYWJRJECMLPT2TFJP4SKP/action/replication_record"}},"created_at":"2026-07-05T10:21:27.478896+00:00","updated_at":"2026-07-05T10:21:27.478896+00:00"}