{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:MFJOPAYQHWJ6WVIRMKCYWJ3W4V","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":"f0264da8d56b488e3475ea4667ae610ac7fa171e1fe6c1685937f339c55b9cc2","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"2004-10-27T20:54:38Z","title_canon_sha256":"8d52f07825cd08e2972cab35ab203a341eb360b1d58e6be587e6183a90f4c6fa"},"schema_version":"1.0","source":{"id":"nucl-th/0410113","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/0410113","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0410113v1","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0410113","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"MFJOPAYQHWJ6","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"MFJOPAYQHWJ6WVIR","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"MFJOPAYQ","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:02a11ef6124299599b239f707c47fd5e56b1922d1311edb875a9269fa5b126b8","target":"graph","created_at":"2026-05-18T01:05:19Z","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":"Norm overlap kernels of the cranked Hartree-Fock-Bogoliubov states are studied in the context of angular momentum projection. In particular, the geometrical distribution of nodal lines, i.e., one dimensional structures where the overlap kernels possess null value, is investigated in the three dimensional space defined by the Euler angles. It is important to know the distribution of these nodal lines when one attempts to determine the phase of norm overlap kernels.","authors_text":"Makito Oi, Naoki Tajima","cross_cats":[],"headline":"","license":"","primary_cat":"nucl-th","submitted_at":"2004-10-27T20:54:38Z","title":"Nodal Lines in the Cranked HFB Overlap kernels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0410113","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:a405bf275fb8fc560d5eeaca18621569d967149f05a5a0bfe8ddc3179f804ac7","target":"record","created_at":"2026-05-18T01:05:19Z","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":"f0264da8d56b488e3475ea4667ae610ac7fa171e1fe6c1685937f339c55b9cc2","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"2004-10-27T20:54:38Z","title_canon_sha256":"8d52f07825cd08e2972cab35ab203a341eb360b1d58e6be587e6183a90f4c6fa"},"schema_version":"1.0","source":{"id":"nucl-th/0410113","kind":"arxiv","version":1}},"canonical_sha256":"6152e783103d93eb551162858b2776e56dce8404910c3bce2c493c602c52d90d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6152e783103d93eb551162858b2776e56dce8404910c3bce2c493c602c52d90d","first_computed_at":"2026-05-18T01:05:19.368206Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:19.368206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kRh91pBJkAFzbhPrc4I1lKal0nS/mVMS1YACCzAl6n2WAYIuY0u9hnU0LpaIYKnGvvjqttx0cWu2JgUWgfo5Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:19.368601Z","signed_message":"canonical_sha256_bytes"},"source_id":"nucl-th/0410113","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a405bf275fb8fc560d5eeaca18621569d967149f05a5a0bfe8ddc3179f804ac7","sha256:02a11ef6124299599b239f707c47fd5e56b1922d1311edb875a9269fa5b126b8"],"state_sha256":"8535d0189c78bc68d406b1a13b042adea23f1c5fd816d156f4b4eaff84c80142"}