{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:I4UKIOHS6M26D2MUYFCC76Z7MT","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":"843b92c5188c5b9cc19bf1598dd1028e79157300d889b8ba5ad5cfa11a70341e","cross_cats_sorted":["cond-mat.supr-con","hep-ph"],"license":"","primary_cat":"nucl-th","submitted_at":"1999-07-09T20:04:36Z","title_canon_sha256":"e832fc2c7f7c017bd5f85be2807000c3ff119c2e0dad134c110279ff59f9a00c"},"schema_version":"1.0","source":{"id":"nucl-th/9907041","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/9907041","created_at":"2026-07-04T17:18:29Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/9907041v3","created_at":"2026-07-04T17:18:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/9907041","created_at":"2026-07-04T17:18:29Z"},{"alias_kind":"pith_short_12","alias_value":"I4UKIOHS6M26","created_at":"2026-07-04T17:18:29Z"},{"alias_kind":"pith_short_16","alias_value":"I4UKIOHS6M26D2MU","created_at":"2026-07-04T17:18:29Z"},{"alias_kind":"pith_short_8","alias_value":"I4UKIOHS","created_at":"2026-07-04T17:18:29Z"}],"graph_snapshots":[{"event_id":"sha256:909e9c5780e6970a632bed43f7bc62db02232d802ac2f806a69ac749e06bdbd0","target":"graph","created_at":"2026-07-04T17:18:29Z","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/nucl-th/9907041/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Because of a logarithmic enhancement from soft, collinear magnetic gluons, in dense quark matter the gap for a color superconducting condensate with spin zero depends upon the QCD coupling constant g not as exp(-1/g^2), like in BCS theory, but as exp(-1/g). In weak coupling, the ratio of the transition temperature to the spin-zero gap at zero temperature is the same as in BCS theory. We classify the gaps with spin one, and find that they are of the same order in g as the spin-zero gap.","authors_text":"D.H. Rischke, R.D. Pisarski","cross_cats":["cond-mat.supr-con","hep-ph"],"headline":"","license":"","primary_cat":"nucl-th","submitted_at":"1999-07-09T20:04:36Z","title":"Gaps and Critical Temperature for Color Superconductivity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/9907041","kind":"arxiv","version":3},"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":"sha256:417661c3f292b0dbe61d738322f3d31d0108851c7889b6243972b54c35a0d547","target":"record","created_at":"2026-07-04T17:18:29Z","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":"843b92c5188c5b9cc19bf1598dd1028e79157300d889b8ba5ad5cfa11a70341e","cross_cats_sorted":["cond-mat.supr-con","hep-ph"],"license":"","primary_cat":"nucl-th","submitted_at":"1999-07-09T20:04:36Z","title_canon_sha256":"e832fc2c7f7c017bd5f85be2807000c3ff119c2e0dad134c110279ff59f9a00c"},"schema_version":"1.0","source":{"id":"nucl-th/9907041","kind":"arxiv","version":3}},"canonical_sha256":"4728a438f2f335e1e994c1442ffb3f64d2aa5569cd8b7ac3ea873ce2cdaf7d28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4728a438f2f335e1e994c1442ffb3f64d2aa5569cd8b7ac3ea873ce2cdaf7d28","first_computed_at":"2026-07-04T17:18:29.584777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:18:29.584777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NbRDFWFq6bW/fZJoC9lAwCXmFR/ZryewjzcOQVn+RH2/K0KDpX7v++Cfh0cVavHwJGDaJn7hz3wU4IHJsgSRCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:18:29.585124Z","signed_message":"canonical_sha256_bytes"},"source_id":"nucl-th/9907041","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:417661c3f292b0dbe61d738322f3d31d0108851c7889b6243972b54c35a0d547","sha256:909e9c5780e6970a632bed43f7bc62db02232d802ac2f806a69ac749e06bdbd0"],"state_sha256":"977f97aec852c91bd44d51769bbc3a68400ab41560eaab1be0d0a6778062b4b2"}