{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:73SOA2TH5GON5ZWL3ZQHILOCOW","short_pith_number":"pith:73SOA2TH","canonical_record":{"source":{"id":"1307.2655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-07-10T02:27:58Z","cross_cats_sorted":[],"title_canon_sha256":"6996f7d3a4a0a632756e9d57a2cd362f4f98a7acbb372d551f2bdcf02ccfeb8f","abstract_canon_sha256":"d23ff0c4523c061cd754c0a6d88634a1c5c5f36402b3b1ef99ca66f5291b1b0e"},"schema_version":"1.0"},"canonical_sha256":"fee4e06a67e99cdee6cbde60742dc27587d44d4e968472d5b5ddb0dc867f86fc","source":{"kind":"arxiv","id":"1307.2655","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.2655","created_at":"2026-05-18T01:48:52Z"},{"alias_kind":"arxiv_version","alias_value":"1307.2655v1","created_at":"2026-05-18T01:48:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2655","created_at":"2026-05-18T01:48:52Z"},{"alias_kind":"pith_short_12","alias_value":"73SOA2TH5GON","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"73SOA2TH5GON5ZWL","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"73SOA2TH","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:73SOA2TH5GON5ZWL3ZQHILOCOW","target":"record","payload":{"canonical_record":{"source":{"id":"1307.2655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-07-10T02:27:58Z","cross_cats_sorted":[],"title_canon_sha256":"6996f7d3a4a0a632756e9d57a2cd362f4f98a7acbb372d551f2bdcf02ccfeb8f","abstract_canon_sha256":"d23ff0c4523c061cd754c0a6d88634a1c5c5f36402b3b1ef99ca66f5291b1b0e"},"schema_version":"1.0"},"canonical_sha256":"fee4e06a67e99cdee6cbde60742dc27587d44d4e968472d5b5ddb0dc867f86fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:52.528874Z","signature_b64":"E7YXbYG2IbDnZB+E+Ok8wFiN/ZvITwTdydue6qFISM6phS/IWR2VpW7oAQ9+SLMnCVIFcnDpeYC2fyxHxULaAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fee4e06a67e99cdee6cbde60742dc27587d44d4e968472d5b5ddb0dc867f86fc","last_reissued_at":"2026-05-18T01:48:52.528218Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:52.528218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.2655","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:48:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4wvfG82Snx5Qk6Gs0WXsdMzd2zKAJPJvv6BXPl9bvJDbvRJDZ+sB0e8S+kCOTaFUAEMez8lLoqp6ddzzds3nDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T17:18:25.231992Z"},"content_sha256":"48f91926658af8840a936fd580f5de18138a2b7f0922209c60480adc0ebcae51","schema_version":"1.0","event_id":"sha256:48f91926658af8840a936fd580f5de18138a2b7f0922209c60480adc0ebcae51"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:73SOA2TH5GON5ZWL3ZQHILOCOW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collective excitations of an imbalanced fermion gas in a 1D optical lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"M. A. Sol\\'is, Mauricio Fortes, R. Mendoza","submitted_at":"2013-07-10T02:27:58Z","abstract_excerpt":"The collective excitations that minimize the Helmholtz free energy of a population-imbalanced mixture of a $^{6}$Li gas loaded in a quasi one-dimensional optical lattice are obtained. These excitations reveal a rotonic branch after solving the Bethe-Salpeter equation under a generalized random phase approximation based on a single-band Hubbard Hamiltonian. The phase diagram describing stability regions of Fulde-Farrell-Larkin-Ovchinnikov and Sarma phases is also analyzed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2655","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:48:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ch7vZBUjNVzvz09badEdjUKzPBBa1uWWZ0dAn1CmHga1dwBxshi1JCedtQ6gFrMDXLK4uoOAfg7v5osZArw/DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T17:18:25.232437Z"},"content_sha256":"05f2f940d9e852a9771df21b5ac70cec7470ee8bc9830f43db747cf91635f10c","schema_version":"1.0","event_id":"sha256:05f2f940d9e852a9771df21b5ac70cec7470ee8bc9830f43db747cf91635f10c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/73SOA2TH5GON5ZWL3ZQHILOCOW/bundle.json","state_url":"https://pith.science/pith/73SOA2TH5GON5ZWL3ZQHILOCOW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/73SOA2TH5GON5ZWL3ZQHILOCOW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-24T17:18:25Z","links":{"resolver":"https://pith.science/pith/73SOA2TH5GON5ZWL3ZQHILOCOW","bundle":"https://pith.science/pith/73SOA2TH5GON5ZWL3ZQHILOCOW/bundle.json","state":"https://pith.science/pith/73SOA2TH5GON5ZWL3ZQHILOCOW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/73SOA2TH5GON5ZWL3ZQHILOCOW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:73SOA2TH5GON5ZWL3ZQHILOCOW","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":"d23ff0c4523c061cd754c0a6d88634a1c5c5f36402b3b1ef99ca66f5291b1b0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-07-10T02:27:58Z","title_canon_sha256":"6996f7d3a4a0a632756e9d57a2cd362f4f98a7acbb372d551f2bdcf02ccfeb8f"},"schema_version":"1.0","source":{"id":"1307.2655","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.2655","created_at":"2026-05-18T01:48:52Z"},{"alias_kind":"arxiv_version","alias_value":"1307.2655v1","created_at":"2026-05-18T01:48:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2655","created_at":"2026-05-18T01:48:52Z"},{"alias_kind":"pith_short_12","alias_value":"73SOA2TH5GON","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"73SOA2TH5GON5ZWL","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"73SOA2TH","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:05f2f940d9e852a9771df21b5ac70cec7470ee8bc9830f43db747cf91635f10c","target":"graph","created_at":"2026-05-18T01:48:52Z","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 collective excitations that minimize the Helmholtz free energy of a population-imbalanced mixture of a $^{6}$Li gas loaded in a quasi one-dimensional optical lattice are obtained. These excitations reveal a rotonic branch after solving the Bethe-Salpeter equation under a generalized random phase approximation based on a single-band Hubbard Hamiltonian. The phase diagram describing stability regions of Fulde-Farrell-Larkin-Ovchinnikov and Sarma phases is also analyzed.","authors_text":"M. A. Sol\\'is, Mauricio Fortes, R. Mendoza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-07-10T02:27:58Z","title":"Collective excitations of an imbalanced fermion gas in a 1D optical lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2655","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":"sha256:48f91926658af8840a936fd580f5de18138a2b7f0922209c60480adc0ebcae51","target":"record","created_at":"2026-05-18T01:48:52Z","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":"d23ff0c4523c061cd754c0a6d88634a1c5c5f36402b3b1ef99ca66f5291b1b0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-07-10T02:27:58Z","title_canon_sha256":"6996f7d3a4a0a632756e9d57a2cd362f4f98a7acbb372d551f2bdcf02ccfeb8f"},"schema_version":"1.0","source":{"id":"1307.2655","kind":"arxiv","version":1}},"canonical_sha256":"fee4e06a67e99cdee6cbde60742dc27587d44d4e968472d5b5ddb0dc867f86fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fee4e06a67e99cdee6cbde60742dc27587d44d4e968472d5b5ddb0dc867f86fc","first_computed_at":"2026-05-18T01:48:52.528218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:52.528218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E7YXbYG2IbDnZB+E+Ok8wFiN/ZvITwTdydue6qFISM6phS/IWR2VpW7oAQ9+SLMnCVIFcnDpeYC2fyxHxULaAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:52.528874Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.2655","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48f91926658af8840a936fd580f5de18138a2b7f0922209c60480adc0ebcae51","sha256:05f2f940d9e852a9771df21b5ac70cec7470ee8bc9830f43db747cf91635f10c"],"state_sha256":"b3801578555463e347a05bb3a4545661c075f1e2a60be33e5e5b83f768f2e14d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oppapLBN/73sT0tkdM6+iGbZxY1PSUcSgKRb9lrvDzolTt5QH0zMtZl2dSghpJnR0U+3QFpFAILGOBCF2V1TDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T17:18:25.235509Z","bundle_sha256":"6cb48f2b36a6712fdaacb5fafcc5a5aee675f909bf1ec246c793bb4b61097397"}}