{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:MNPR4JC5NUYDNHGDM2YKUGIPPV","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":"00093c1304b1d5b55c6ed31d9a0a0172a9dbc1b791effbf8dfaaabdc9ebccfab","cross_cats_sorted":["astro-ph","hep-ph"],"license":"","primary_cat":"nucl-th","submitted_at":"2004-05-19T23:10:30Z","title_canon_sha256":"2061fb6c9a3eec3a6edceec9e7e61c2de298ca9a3843a1792b8f74e6b05b6d34"},"schema_version":"1.0","source":{"id":"nucl-th/0405054","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/0405054","created_at":"2026-07-04T16:49:39Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0405054v3","created_at":"2026-07-04T16:49:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0405054","created_at":"2026-07-04T16:49:39Z"},{"alias_kind":"pith_short_12","alias_value":"MNPR4JC5NUYD","created_at":"2026-07-04T16:49:39Z"},{"alias_kind":"pith_short_16","alias_value":"MNPR4JC5NUYDNHGD","created_at":"2026-07-04T16:49:39Z"},{"alias_kind":"pith_short_8","alias_value":"MNPR4JC5","created_at":"2026-07-04T16:49:39Z"}],"graph_snapshots":[{"event_id":"sha256:853e1fdf3bd9d6efd545c97418a48104c8efb2cb0865f37eb796a9f54f2f1c97","target":"graph","created_at":"2026-07-04T16:49:39Z","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/0405054/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analyze the free energy of charge and color neutral 2-flavor quark matter within the BCS approximation. We consider both the homogeneous gapless superconducting phase and the heterogeneous mixed phase where normal and BCS superconducting phases coexist. We calculate the surface tension between normal and superconducting phases and use it to compare the free energies of the gapless and mixed phases. Our calculation, which retains only the leading order gradient contribution to the free energy, indicates that the mixed phase is energetically favored over an interesting range of densities of r","authors_text":"Gautam Rupak, Sanjay Reddy","cross_cats":["astro-ph","hep-ph"],"headline":"","license":"","primary_cat":"nucl-th","submitted_at":"2004-05-19T23:10:30Z","title":"Phase Structure of 2-Flavor Quark Matter: Heterogeneous Superconductors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0405054","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":"sha256:51d9c65ec5a69a02a77c7c7c94ee4ece3c9d86c70af453164e643e6f7ab6742f","target":"record","created_at":"2026-07-04T16:49:39Z","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":"00093c1304b1d5b55c6ed31d9a0a0172a9dbc1b791effbf8dfaaabdc9ebccfab","cross_cats_sorted":["astro-ph","hep-ph"],"license":"","primary_cat":"nucl-th","submitted_at":"2004-05-19T23:10:30Z","title_canon_sha256":"2061fb6c9a3eec3a6edceec9e7e61c2de298ca9a3843a1792b8f74e6b05b6d34"},"schema_version":"1.0","source":{"id":"nucl-th/0405054","kind":"arxiv","version":3}},"canonical_sha256":"635f1e245d6d30369cc366b0aa190f7d6724b2200add20a28d02d8a103269e59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"635f1e245d6d30369cc366b0aa190f7d6724b2200add20a28d02d8a103269e59","first_computed_at":"2026-07-04T16:49:39.256369Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:49:39.256369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9+ahMwq0AKbvA8KLo5bD46RIuNe8y7jMvSkapYoQoKGUcRvHb7Ibh7YAy2DIZOi/ufIJPGN86OUSyxuqpnZpAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:49:39.256721Z","signed_message":"canonical_sha256_bytes"},"source_id":"nucl-th/0405054","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51d9c65ec5a69a02a77c7c7c94ee4ece3c9d86c70af453164e643e6f7ab6742f","sha256:853e1fdf3bd9d6efd545c97418a48104c8efb2cb0865f37eb796a9f54f2f1c97"],"state_sha256":"8f2e05f2fad95277740128fb3df1665849595605f6bb58d4dc7727d4e0e68b99"}