{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JZDJSNGKISZSWZEASSINXYDLR5","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":"1211ebe882162546b3408c5f0d2ff5e35b181e4426d838ff8e641da1edaa88c9","cross_cats_sorted":["nucl-ex"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-04-17T01:40:56Z","title_canon_sha256":"414ec2f261acd8e9e0a2c4c665c7ac2beef766e2adea51991d52a81b4cb0e3e1"},"schema_version":"1.0","source":{"id":"1804.06010","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06010","created_at":"2026-05-17T23:48:22Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06010v1","created_at":"2026-05-17T23:48:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06010","created_at":"2026-05-17T23:48:22Z"},{"alias_kind":"pith_short_12","alias_value":"JZDJSNGKISZS","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"JZDJSNGKISZSWZEA","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"JZDJSNGK","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:63d4de7cdaac74e0e558c7496d5d90c03c1297343e20e0bd8acdf05c9a590390","target":"graph","created_at":"2026-05-17T23:48:22Z","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":"In the present work, we systematically study the $\\mathcal{\\alpha}$ decay preformation factors $P_{\\alpha}$ within the cluster-formation model and $\\mathcal{\\alpha}$ decay half-lives by the proximity potential 1977 formalism for nuclei around $Z=82$, $N=126$ closed shells. The calculations show that the realistic $P_{\\alpha}$ is linearly dependent on the product of valance protons (holes) and valance neutrons (holes) $N_pN_n$. It is consistent with our previous works [X.-D. Sun \\textit{et al.}, \\href{https://journals.aps.org/prc/abstract/10.1103/PhysRevC.94.024338}{ Phys. Rev. C 94, 024338 (20","authors_text":"Jie-Cheng Zhao, Jun-Gang Deng, Peng-Cheng Chu, Xiao-Hua Li","cross_cats":["nucl-ex"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-04-17T01:40:56Z","title":"Systematic study of $\\boldsymbol{\\mathcal{\\alpha}}$ decay of nuclei around $\\boldsymbol{Z=82}$, $\\boldsymbol{N=126}$ shell closure within the cluster-formation model and proximity potential 1977 formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06010","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:ba8f3e0d4801a54f4062d2c6ec7532b04e622b49941d440bfeabe4f05a52b6aa","target":"record","created_at":"2026-05-17T23:48:22Z","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":"1211ebe882162546b3408c5f0d2ff5e35b181e4426d838ff8e641da1edaa88c9","cross_cats_sorted":["nucl-ex"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-04-17T01:40:56Z","title_canon_sha256":"414ec2f261acd8e9e0a2c4c665c7ac2beef766e2adea51991d52a81b4cb0e3e1"},"schema_version":"1.0","source":{"id":"1804.06010","kind":"arxiv","version":1}},"canonical_sha256":"4e469934ca44b32b64809490dbe06b8f4e2b7ea24e2370f6eeeebe1c9901ef53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e469934ca44b32b64809490dbe06b8f4e2b7ea24e2370f6eeeebe1c9901ef53","first_computed_at":"2026-05-17T23:48:22.753046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:22.753046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CbPv42FJ/g5uunmZJ0WUgiHyaQh3uHId+awpmyv7roQCE381PTfx1pXIaSzB90Yg1EdIWGAZNQghY5iHn9UsBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:22.753606Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.06010","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba8f3e0d4801a54f4062d2c6ec7532b04e622b49941d440bfeabe4f05a52b6aa","sha256:63d4de7cdaac74e0e558c7496d5d90c03c1297343e20e0bd8acdf05c9a590390"],"state_sha256":"80bc7e462f38e1a47748f5865cdf41a252f764320b6ce1a5083b611b31d184fe"}