{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DNOEQIE72RTTCCPNPMGURQTKQY","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":"f0f3ad636f98356a1c756fd18d696536e27c8de3630c5b65ad0ec8b46dbe517a","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-09-11T07:25:19Z","title_canon_sha256":"4683eff5a2260de8e4bd4e7a1f3db66ceca3d98a8cbb59e3eded49caff8170cf"},"schema_version":"1.0","source":{"id":"1809.03708","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03708","created_at":"2026-05-18T00:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03708v1","created_at":"2026-05-18T00:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03708","created_at":"2026-05-18T00:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"DNOEQIE72RTT","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DNOEQIE72RTTCCPN","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DNOEQIE7","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:b3b574584c79f807d00738490b07616564acc5951a6617f13b77c9063451df12","target":"graph","created_at":"2026-05-18T00:06:00Z","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":"We improve the Bardeen-Cooper-Schrieffer wave function with a fixed particle number so as to incorporate many-body correlations beyond the mean-field treatment. It is shown that the correlations lower the ground-state energy far more than Cooper-pair condensation in the weak-coupling region. Moreover, they naturally bring a superposition over the number of condensed particles. Thus, Cooper-pair condensation is special among the various bound-state formations of quantum mechanics in that number fluctuations are necessarily present in the condensate through the dynamical exchange of particles wi","authors_text":"Takafumi Kita, Wataru Kohno, Xiaotian Si","cross_cats":["cond-mat.quant-gas","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-09-11T07:25:19Z","title":"Number-Phase Fluctuations in Isolated Superconductors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03708","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:edcf23e7e17e775cbd0c16b90d0160bebe6c377d307217ec2cfacd8f75b65b0e","target":"record","created_at":"2026-05-18T00:06:00Z","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":"f0f3ad636f98356a1c756fd18d696536e27c8de3630c5b65ad0ec8b46dbe517a","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2018-09-11T07:25:19Z","title_canon_sha256":"4683eff5a2260de8e4bd4e7a1f3db66ceca3d98a8cbb59e3eded49caff8170cf"},"schema_version":"1.0","source":{"id":"1809.03708","kind":"arxiv","version":1}},"canonical_sha256":"1b5c48209fd4673109ed7b0d48c26a863504f811c04f2504404c51fa8e34ca74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b5c48209fd4673109ed7b0d48c26a863504f811c04f2504404c51fa8e34ca74","first_computed_at":"2026-05-18T00:06:00.053803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:00.053803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0W1xAB4ay4fNx+rJG+f6hcRdBO7mHoiBZ3aqGYhW4DjVXV09tyCEps5+SyhqZbFNyaWGRiPxGcMEMDU0jqLFDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:00.054299Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.03708","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edcf23e7e17e775cbd0c16b90d0160bebe6c377d307217ec2cfacd8f75b65b0e","sha256:b3b574584c79f807d00738490b07616564acc5951a6617f13b77c9063451df12"],"state_sha256":"49a1b4977fd33cf6a8cb573aeb7e4034750e3ebc7384cc05a3b6c05929fbe3e7"}