{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ED4NINGYIC6NGXY46S7PK7KGCI","short_pith_number":"pith:ED4NINGY","schema_version":"1.0","canonical_sha256":"20f8d434d840bcd35f1cf4bef57d46123604085a7d318f063bbf6da307310ede","source":{"kind":"arxiv","id":"1011.2944","version":1},"attestation_state":"computed","paper":{"title":"Fractionalization in Three-Components Fermionic Atomic Gases in a One-Dimensional Optical Lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Patrick Azaria","submitted_at":"2010-11-12T15:25:12Z","abstract_excerpt":"We study a three-components fermionic gas loaded in a one-dimensional optical trap at half-filling. We find that the system is fully gapped and may order into 8 possible phases: four 2$k_F$ atomic density wave and spin-Peierls phases with all possible relative $\\pi$ phases shifts between the three species. We find that trionic excitations are unstable toward the decay into pairs of kinks carrying a {\\it fractional} number, $Q=3/2$, of atoms. These sesquions eventually condense upon small doping and are described by a Luttinger liquid. We finally discuss the phase diagram of a three component m"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1011.2944","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-11-12T15:25:12Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"58a8da67d9501f3793248d90837ec5e81f1d77a696fc4a26966dccd5e23c921f","abstract_canon_sha256":"b878899bf0333290debf9f5cfcd5a2c179588c753d69259a6fa7d26817508787"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:07.773905Z","signature_b64":"SRf8FAjg3XziQceNVmN8cKKwZlSh+Tw8gVC9oppur/cNy/zGiXT7maNauwMSnN1rkBTpd+eOJeccrvlLWf91Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20f8d434d840bcd35f1cf4bef57d46123604085a7d318f063bbf6da307310ede","last_reissued_at":"2026-05-18T04:36:07.773129Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:07.773129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fractionalization in Three-Components Fermionic Atomic Gases in a One-Dimensional Optical Lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Patrick Azaria","submitted_at":"2010-11-12T15:25:12Z","abstract_excerpt":"We study a three-components fermionic gas loaded in a one-dimensional optical trap at half-filling. We find that the system is fully gapped and may order into 8 possible phases: four 2$k_F$ atomic density wave and spin-Peierls phases with all possible relative $\\pi$ phases shifts between the three species. We find that trionic excitations are unstable toward the decay into pairs of kinks carrying a {\\it fractional} number, $Q=3/2$, of atoms. These sesquions eventually condense upon small doping and are described by a Luttinger liquid. We finally discuss the phase diagram of a three component m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2944","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1011.2944","created_at":"2026-05-18T04:36:07.773261+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.2944v1","created_at":"2026-05-18T04:36:07.773261+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2944","created_at":"2026-05-18T04:36:07.773261+00:00"},{"alias_kind":"pith_short_12","alias_value":"ED4NINGYIC6N","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"ED4NINGYIC6NGXY4","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"ED4NINGY","created_at":"2026-05-18T12:26:06.534383+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ED4NINGYIC6NGXY46S7PK7KGCI","json":"https://pith.science/pith/ED4NINGYIC6NGXY46S7PK7KGCI.json","graph_json":"https://pith.science/api/pith-number/ED4NINGYIC6NGXY46S7PK7KGCI/graph.json","events_json":"https://pith.science/api/pith-number/ED4NINGYIC6NGXY46S7PK7KGCI/events.json","paper":"https://pith.science/paper/ED4NINGY"},"agent_actions":{"view_html":"https://pith.science/pith/ED4NINGYIC6NGXY46S7PK7KGCI","download_json":"https://pith.science/pith/ED4NINGYIC6NGXY46S7PK7KGCI.json","view_paper":"https://pith.science/paper/ED4NINGY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.2944&json=true","fetch_graph":"https://pith.science/api/pith-number/ED4NINGYIC6NGXY46S7PK7KGCI/graph.json","fetch_events":"https://pith.science/api/pith-number/ED4NINGYIC6NGXY46S7PK7KGCI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ED4NINGYIC6NGXY46S7PK7KGCI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ED4NINGYIC6NGXY46S7PK7KGCI/action/storage_attestation","attest_author":"https://pith.science/pith/ED4NINGYIC6NGXY46S7PK7KGCI/action/author_attestation","sign_citation":"https://pith.science/pith/ED4NINGYIC6NGXY46S7PK7KGCI/action/citation_signature","submit_replication":"https://pith.science/pith/ED4NINGYIC6NGXY46S7PK7KGCI/action/replication_record"}},"created_at":"2026-05-18T04:36:07.773261+00:00","updated_at":"2026-05-18T04:36:07.773261+00:00"}