{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:KMEQ7VT3I7IFHHQOFOQQORZLJV","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":"012697512b120854a80960b354ef47669ac38a3f2a2b25a098daf683638c7ee9","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"2007-11-24T00:33:38Z","title_canon_sha256":"0aeb32bb0e461a4f5df05f0e1af153985b6763210ef5c7f26443f06f19a82e35"},"schema_version":"1.0","source":{"id":"0711.3802","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.3802","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"arxiv_version","alias_value":"0711.3802v2","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.3802","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"pith_short_12","alias_value":"KMEQ7VT3I7IF","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"pith_short_16","alias_value":"KMEQ7VT3I7IFHHQO","created_at":"2026-07-04T15:09:28Z"},{"alias_kind":"pith_short_8","alias_value":"KMEQ7VT3","created_at":"2026-07-04T15:09:28Z"}],"graph_snapshots":[{"event_id":"sha256:f267d2ddada1b489462f2e7b3e2a1678ded66531e170c5963c6d7293dc2d1f21","target":"graph","created_at":"2026-07-04T15:09:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0711.3802/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We examine the effects of the additional term of the type $\\sim e^{- \\lambda' N_pN_n}$ on the recently proposed empirical formula for the lowest excitation energy of the $2^+$ states in even-even nuclei. This study is motivated by the fact that this term carries the favorable dependence of the valence nucleon numbers dictated by the $N_pN_n$ scheme. We show explicitly that there is not any improvement in reproducing $E_x(2_1^+)$ by including the extra $N_pN_n$ term. However, our study also reveals that the excitation energies $E_x(2_1^+)$, when calculated by the $N_pN_n$ term alone (with the m","authors_text":"Dongwoo Cha, Guanghao Jin, Jin-Hee Yoon","cross_cats":[],"headline":"","license":"","primary_cat":"nucl-th","submitted_at":"2007-11-24T00:33:38Z","title":"N_pN_n dependence of empirical formula for the lowest excitation energy of the 2^+ states in even-even nuclei"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.3802","kind":"arxiv","version":2},"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":"sha256:9ffb96092c134bccffc28f0f35197020106b34c9551bd148fcd9d2b4fd82cae9","target":"record","created_at":"2026-07-04T15:09:28Z","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":"012697512b120854a80960b354ef47669ac38a3f2a2b25a098daf683638c7ee9","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"2007-11-24T00:33:38Z","title_canon_sha256":"0aeb32bb0e461a4f5df05f0e1af153985b6763210ef5c7f26443f06f19a82e35"},"schema_version":"1.0","source":{"id":"0711.3802","kind":"arxiv","version":2}},"canonical_sha256":"53090fd67b47d0539e0e2ba107472b4d7199f621c38696c5828b22c44caf98cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53090fd67b47d0539e0e2ba107472b4d7199f621c38696c5828b22c44caf98cc","first_computed_at":"2026-07-04T15:09:28.515357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:09:28.515357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"02XOx4Yk08tyzB/vGQgzGeROUHCA+W7eMxZkjNwY3eWnIcopd7f1O/R7wVkRD3Vku/TqNkH4aLB6UtMF5Bw5Dg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:09:28.515816Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.3802","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ffb96092c134bccffc28f0f35197020106b34c9551bd148fcd9d2b4fd82cae9","sha256:f267d2ddada1b489462f2e7b3e2a1678ded66531e170c5963c6d7293dc2d1f21"],"state_sha256":"b31f8cfb673d704006230b2a1e3e5fc17fba2444be3980475b2fbe6755e940ab"}