{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KY3H3WLGFIKVIK35SCQU7BECYX","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":"3ef22243a702a46dd8269c503f4364559c525b74b0183baee7b2b4a653b07813","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-06-12T13:22:11Z","title_canon_sha256":"29c498d0f4ff499ed4fdd2c2f0834d36760dd6b1d429596a919d31c330c02083"},"schema_version":"1.0","source":{"id":"1206.2519","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2519","created_at":"2026-05-18T03:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2519v2","created_at":"2026-05-18T03:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2519","created_at":"2026-05-18T03:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"KY3H3WLGFIKV","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KY3H3WLGFIKVIK35","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KY3H3WLG","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:b7e4d876f589fe78a503e8f9998ab35e4108e297dd45dddc984adba2d2dd56ad","target":"graph","created_at":"2026-05-18T03:22:40Z","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"},"paper":{"abstract_excerpt":"The properties of two-flavored massive Nambu--Jona-Lasinio model in (1+1)-dimensional spacetime are investigated in the presence of isospin and quark number chemical potentials. The consideration is performed in the large-$N_c$ limit, where $N_c$ is the number of colored quarks. It is shown in the framework of this model that charged pion condensation phenomenon of dense quark/hadron isotopically asymmetric matter is rather a spatially inhomogeneous than a homogeneous one.","authors_text":"K. G. Klimenko, N. V. Gubina, S. G. Kurbanov, V. Ch. Zhukovsky","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-06-12T13:22:11Z","title":"Inhomogeneous charged pion condensation phenomenon in the NJL$_2$ model with quark number and isospin chemical potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2519","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:f0dfc9371431b8b0e38ca54f168a740bf4bb4bd9284f5ebd1cd81cbe485b0d24","target":"record","created_at":"2026-05-18T03:22:40Z","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":"3ef22243a702a46dd8269c503f4364559c525b74b0183baee7b2b4a653b07813","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-06-12T13:22:11Z","title_canon_sha256":"29c498d0f4ff499ed4fdd2c2f0834d36760dd6b1d429596a919d31c330c02083"},"schema_version":"1.0","source":{"id":"1206.2519","kind":"arxiv","version":2}},"canonical_sha256":"56367dd9662a15542b7d90a14f8482c5ef60b734402cc059e0dae563557c40b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56367dd9662a15542b7d90a14f8482c5ef60b734402cc059e0dae563557c40b4","first_computed_at":"2026-05-18T03:22:40.302477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:40.302477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3hd+URCyMBt0vvOlrJ6MUGpM/0Roljxl2N9jfYeq4gR6+LKFnDptisYg/odT3D62Q3KKWGx/1PzlNwsHMGG0CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:40.303334Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.2519","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0dfc9371431b8b0e38ca54f168a740bf4bb4bd9284f5ebd1cd81cbe485b0d24","sha256:b7e4d876f589fe78a503e8f9998ab35e4108e297dd45dddc984adba2d2dd56ad"],"state_sha256":"3f477052e7893f000271daf8c7a10a5ef5f4a7bf2ab4e863af79b396b7cbad7f"}