{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WFHOF5SLVXRCYQCC2AXEC3EKOP","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":"271dbbb7b77da92d833202eb564f66abf8741e7fdf144726c6e810e02e6dcb39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-08-27T16:26:20Z","title_canon_sha256":"186bfcb2bd54fee467c8ff47b8840aa0c56159b60a1f5f34b1e2ac7f6da600fa"},"schema_version":"1.0","source":{"id":"1208.5434","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.5434","created_at":"2026-05-18T01:54:57Z"},{"alias_kind":"arxiv_version","alias_value":"1208.5434v1","created_at":"2026-05-18T01:54:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5434","created_at":"2026-05-18T01:54:57Z"},{"alias_kind":"pith_short_12","alias_value":"WFHOF5SLVXRC","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"WFHOF5SLVXRCYQCC","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"WFHOF5SL","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:95a2707524c460b768c43258b764c60c96502ddfa4cf9c55a3876081c70eb272","target":"graph","created_at":"2026-05-18T01:54:57Z","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 study the inhomogeneous chiral condensates in the proximity of the chiral tricritical point (TCP) of two-flavor QCD. Deriving the Ginzburg-Landau (GL) functional up to the eighth order in the order parameter and its spatial derivative, we explore off the TCP and find that critical curves are bent by non-linear effects. In the newly extend GL coupling space, we find the TCP being realized as a multicritical point where five independent critical lines meet up. We also present general analyses for the energies associated with several higher dimensional crystal structures.","authors_text":"Hiroaki Abuki, Katsuhiko Suzuki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-08-27T16:26:20Z","title":"Ginzburg-Landau approach to inhomogeneous chiral phases of QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5434","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:c4d8cb3598b2cc86784d293bbe6c15236c16320bc4885694fed038bd30ba368e","target":"record","created_at":"2026-05-18T01:54:57Z","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":"271dbbb7b77da92d833202eb564f66abf8741e7fdf144726c6e810e02e6dcb39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-08-27T16:26:20Z","title_canon_sha256":"186bfcb2bd54fee467c8ff47b8840aa0c56159b60a1f5f34b1e2ac7f6da600fa"},"schema_version":"1.0","source":{"id":"1208.5434","kind":"arxiv","version":1}},"canonical_sha256":"b14ee2f64bade22c4042d02e416c8a73d2c753511891b386f1d462adeca6aaac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b14ee2f64bade22c4042d02e416c8a73d2c753511891b386f1d462adeca6aaac","first_computed_at":"2026-05-18T01:54:57.735257Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:57.735257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wp1IGXVQ5BnlPIi9lnHQMxLPXaolYWs4D2unm8cSXIv5kTyHA+kfLfpYM4MECgioo+jhRYsgO/BX9Kr2CHvcDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:57.736104Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.5434","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4d8cb3598b2cc86784d293bbe6c15236c16320bc4885694fed038bd30ba368e","sha256:95a2707524c460b768c43258b764c60c96502ddfa4cf9c55a3876081c70eb272"],"state_sha256":"c5d5a3ab05697b3916f2295edc55a9652a4268f324e4fd4eb99f5362ca3326f1"}