{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EIOTO5WGOM2QEGCJMUB3BZX7WM","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":"268a155260047deb40de23097851eaa366368995beff3e829a44d3c7ae66b92a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-08-18T05:14:35Z","title_canon_sha256":"eb017fff7adda86280bc7963dc72d3c351f2891123d91df549dafc41b7fcb248"},"schema_version":"1.0","source":{"id":"1808.06042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.06042","created_at":"2026-05-18T00:07:46Z"},{"alias_kind":"arxiv_version","alias_value":"1808.06042v1","created_at":"2026-05-18T00:07:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.06042","created_at":"2026-05-18T00:07:46Z"},{"alias_kind":"pith_short_12","alias_value":"EIOTO5WGOM2Q","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EIOTO5WGOM2QEGCJ","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EIOTO5WG","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:0bb4fd931e3775fdb4a6ef1ab454557ad7668aee6418f732c3de3d7ad8290d52","target":"graph","created_at":"2026-05-18T00:07:46Z","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 a separate paper we have discussed the possibility that six quark clusters can affect the rate of double-beta decay. In this article we develop the formalism needed in the evaluation of the energy of all six-quark cluster configurations, which can arise in a harmonic oscillator basis up to $2 \\hbar \\omega$ excitations. The symmetries that were found useful for this purpose were the combined spin color symmetry $SU_{cs}(6)$, the orbital symmetry $SU_{o}(6)$ and the isospin symmetry $SU_I(2)$.","authors_text":"D. Strottman (Theoretical Division, Greece), J.D. Vergados (Physics Department, LANL), University of Ioannina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-08-18T05:14:35Z","title":"Quark Cluster Model Equations for $\\beta\\beta$ Decay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.06042","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:ada0a84328764df4f5111aad134fca6048a9659b2d3f501dc668be1b520a96ea","target":"record","created_at":"2026-05-18T00:07:46Z","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":"268a155260047deb40de23097851eaa366368995beff3e829a44d3c7ae66b92a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2018-08-18T05:14:35Z","title_canon_sha256":"eb017fff7adda86280bc7963dc72d3c351f2891123d91df549dafc41b7fcb248"},"schema_version":"1.0","source":{"id":"1808.06042","kind":"arxiv","version":1}},"canonical_sha256":"221d3776c673350218496503b0e6ffb30ad05b8ee244236417729e6daf99b6a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"221d3776c673350218496503b0e6ffb30ad05b8ee244236417729e6daf99b6a1","first_computed_at":"2026-05-18T00:07:46.324087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:46.324087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4VVqPPj4G3uiXAaBPJ5NEHj7NNlr/3jVKCIXUfiMwpV1vHSB2lyVX70oIJPlfUOnktfIvNZ8AsLjJc+RGSlTCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:46.324581Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.06042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ada0a84328764df4f5111aad134fca6048a9659b2d3f501dc668be1b520a96ea","sha256:0bb4fd931e3775fdb4a6ef1ab454557ad7668aee6418f732c3de3d7ad8290d52"],"state_sha256":"ca633329ba2055c1782e593638c60aefa8ebdbdf0ef65653de9c1d431f329a78"}