{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6NIHPXJ4BPT6BICG67KP5EMFLO","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":"e93cc6a142ba35776c7da4b5a14b94d5a1a63afe6f279db5a7bd4d667a6e1f04","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-09T11:29:16Z","title_canon_sha256":"8ba661fe0dacbad1959022a1ef986042eefa7334aee398344755e0941e6e964a"},"schema_version":"1.0","source":{"id":"1810.03921","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.03921","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"arxiv_version","alias_value":"1810.03921v2","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.03921","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"pith_short_12","alias_value":"6NIHPXJ4BPT6","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6NIHPXJ4BPT6BICG","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6NIHPXJ4","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:dbb4c425439eab0b8ec91f6db29f53a8173a01253259bcaa0dda1dcd8bb18ef5","target":"graph","created_at":"2026-05-17T23:59:04Z","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":"The phase diagram of the two-dimensional Nambu-Jona-Lasinio (or chiral Gross-Neveu) model is characterized by an order parameter in the form of a chiral spiral. Its radius vanishes at a critical temperature, its period depends only on the chemical potential. We generalize these findings to chirally imbalanced systems by including a chiral chemical potential $\\mu_5$. The relationship between the present, static approach and a previous, time dependent one is traced back to a half-local symmetry which the NJL$_2$ model shares with massless Dirac fermions, but which has been neglected so far. The ","authors_text":"Michael Thies","cross_cats":["hep-ph","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-09T11:29:16Z","title":"Chiral spiral in the presence of chiral imbalance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03921","kind":"arxiv","version":2},"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:f78ea083f85843bab8cc5b0d4c031f879e76a6724286b5c7a4a72bae8d45dd5f","target":"record","created_at":"2026-05-17T23:59:04Z","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":"e93cc6a142ba35776c7da4b5a14b94d5a1a63afe6f279db5a7bd4d667a6e1f04","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-09T11:29:16Z","title_canon_sha256":"8ba661fe0dacbad1959022a1ef986042eefa7334aee398344755e0941e6e964a"},"schema_version":"1.0","source":{"id":"1810.03921","kind":"arxiv","version":2}},"canonical_sha256":"f35077dd3c0be7e0a046f7d4fe91855b95dceb88c9138aeef6f529cdfc575749","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f35077dd3c0be7e0a046f7d4fe91855b95dceb88c9138aeef6f529cdfc575749","first_computed_at":"2026-05-17T23:59:04.756863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:04.756863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xi0fd68vx1/nUwkFvHPAP+uLwvjTvsJEgRF9fWbP6Gg3IWi+Gsj9RDCPM7pRYEb5dsdRRMkTJTsDW8J5dN9dCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:04.757299Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.03921","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f78ea083f85843bab8cc5b0d4c031f879e76a6724286b5c7a4a72bae8d45dd5f","sha256:dbb4c425439eab0b8ec91f6db29f53a8173a01253259bcaa0dda1dcd8bb18ef5"],"state_sha256":"3e679985544b3943e258a76ff4a38dc2f6226e5ede0c72bdaed55e3a10536384"}