{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:6VRKOXTEZM2FNFDS26MXPXF4NY","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":"c25b9b89e53555b5b647ea613651f9cdf9cacd64c74bbd70a9fb10daf3eaf5a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-12-14T13:52:20Z","title_canon_sha256":"d425c2889c84f1919b7eeb9d30c8930119ac26a1948185d0e439073739e321c9"},"schema_version":"1.0","source":{"id":"2012.07520","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.07520","created_at":"2026-07-05T02:19:40Z"},{"alias_kind":"arxiv_version","alias_value":"2012.07520v1","created_at":"2026-07-05T02:19:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.07520","created_at":"2026-07-05T02:19:40Z"},{"alias_kind":"pith_short_12","alias_value":"6VRKOXTEZM2F","created_at":"2026-07-05T02:19:40Z"},{"alias_kind":"pith_short_16","alias_value":"6VRKOXTEZM2FNFDS","created_at":"2026-07-05T02:19:40Z"},{"alias_kind":"pith_short_8","alias_value":"6VRKOXTE","created_at":"2026-07-05T02:19:40Z"}],"graph_snapshots":[{"event_id":"sha256:96faeb24fd5c999ae341dbad45101f3e385b631a47bae246e62183fd3e6cb418","target":"graph","created_at":"2026-07-05T02:19:40Z","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/2012.07520/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the phase structure of the two-flavor Nambu--Jona-Lasinio (NJL) model in the chiral limit, extending a previous study of the competition of an inhomogeneous chiral phase and a two-flavor color-superconducting (2SC) phase [1, 2]. There, an analytic expression for the dispersion relations for quasiparticle excitations in the presence of both a particular inhomogeneous chiral condensate, the so-called chiral density wave (CDW), and a homogeneous 2SC condensate was found. In this work we show how to determine the dispersion relations for arbitrary modulations of the chiral condensate in t","authors_text":"Dirk H. Rischke, Michael Buballa, Phillip Lakaschus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-12-14T13:52:20Z","title":"Competition of inhomogeneous chiral phases and two-flavor color superconductivity in the NJL model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.07520","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":"sha256:07910b632875f2a021ef5c106c3621c1237b62de07facf76921b6e06804120cf","target":"record","created_at":"2026-07-05T02:19:40Z","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":"c25b9b89e53555b5b647ea613651f9cdf9cacd64c74bbd70a9fb10daf3eaf5a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-12-14T13:52:20Z","title_canon_sha256":"d425c2889c84f1919b7eeb9d30c8930119ac26a1948185d0e439073739e321c9"},"schema_version":"1.0","source":{"id":"2012.07520","kind":"arxiv","version":1}},"canonical_sha256":"f562a75e64cb34569472d79977dcbc6e2b28063b1ad1b3475e022a115b1992a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f562a75e64cb34569472d79977dcbc6e2b28063b1ad1b3475e022a115b1992a3","first_computed_at":"2026-07-05T02:19:40.540599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:19:40.540599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c3BtNDPt3RQqS+2radI++K9inIfTj19M0BBZ/QaFVmnSzhDAoNLhMwMTBgpJSP+xnGlthq+TMoguP/y2ElN2Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:19:40.541097Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.07520","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07910b632875f2a021ef5c106c3621c1237b62de07facf76921b6e06804120cf","sha256:96faeb24fd5c999ae341dbad45101f3e385b631a47bae246e62183fd3e6cb418"],"state_sha256":"8b89b2e9880484d68144bea5215a06bd231409c07a32ab1bc9e4e90e5e448c54"}