{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:IN5QNVDCFVPSMA36HKVIUYTH3U","short_pith_number":"pith:IN5QNVDC","canonical_record":{"source":{"id":"1902.02676","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2019-02-07T15:12:49Z","cross_cats_sorted":[],"title_canon_sha256":"7798ce6d18f043ecf496b428456006244508b7978fc438441f823cc605129f77","abstract_canon_sha256":"f594c39d0f7040efd126541018c43c372c8a4b1b7f7cb0569a4097e76e781e9a"},"schema_version":"1.0"},"canonical_sha256":"437b06d4622d5f26037e3aaa8a6267dd1c221c59ad2ccf9b385d96b179b6ac8d","source":{"kind":"arxiv","id":"1902.02676","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02676","created_at":"2026-05-17T23:54:32Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02676v1","created_at":"2026-05-17T23:54:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02676","created_at":"2026-05-17T23:54:32Z"},{"alias_kind":"pith_short_12","alias_value":"IN5QNVDCFVPS","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"IN5QNVDCFVPSMA36","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"IN5QNVDC","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:IN5QNVDCFVPSMA36HKVIUYTH3U","target":"record","payload":{"canonical_record":{"source":{"id":"1902.02676","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2019-02-07T15:12:49Z","cross_cats_sorted":[],"title_canon_sha256":"7798ce6d18f043ecf496b428456006244508b7978fc438441f823cc605129f77","abstract_canon_sha256":"f594c39d0f7040efd126541018c43c372c8a4b1b7f7cb0569a4097e76e781e9a"},"schema_version":"1.0"},"canonical_sha256":"437b06d4622d5f26037e3aaa8a6267dd1c221c59ad2ccf9b385d96b179b6ac8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:32.505350Z","signature_b64":"oOC3K5MFVrUjXHYRrBk1mlxEwH2BT4hOroqUgU0v3tWrAIv9nPUUy1XsgYrt2T7k9fOPPi+f5vr8Dk1n821yDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"437b06d4622d5f26037e3aaa8a6267dd1c221c59ad2ccf9b385d96b179b6ac8d","last_reissued_at":"2026-05-17T23:54:32.504709Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:32.504709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.02676","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":"2026-05-17T23:54:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uR+Xunc4fgy/I/+PYUnxQ3hx7chO2qJ+el0Gj5G5BDOu435pyevhQSueD2hOqqRSNsqkNhgzrgb0lDLnv45MCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:29:53.679138Z"},"content_sha256":"b0784b9b31bcda3048e2a6686b070574bde611141d31940958481421da5a960f","schema_version":"1.0","event_id":"sha256:b0784b9b31bcda3048e2a6686b070574bde611141d31940958481421da5a960f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:IN5QNVDCFVPSMA36HKVIUYTH3U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The variational reduction for low-dimensional Fermi gases and Bose - Fermi mixtures: A brief review","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Boris A. Malomed, David Laroze, Pablo D\\'iaz","submitted_at":"2019-02-07T15:12:49Z","abstract_excerpt":"We present a summary of some recent theoretical results for matter-wave patterns in Fermi and Bose-Fermi degenerate gases, obtained in the framework of the quasi-mean-field approximation. We perform a dimensional reduction from the three-dimensional (3D) equations of motion to 2D and 1D effective equations. In both cases, comparison of the low-dimensional reductions to the full model is performed, showing very good agreement for ground-state solutions. Some complex dynamical regimes are reported too for the corresponding 1D systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02676","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":"2026-05-17T23:54:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wxfLD+fQ+l+gbljOHS89KFsnUf07cGLa/xA8BQf1VlmU9P41MhcFd8jjtT9k29w75OsjSiByEi6GegqzRH15Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:29:53.679657Z"},"content_sha256":"66ada385a6d776bcd37f8127c8ebbd20bc27a8d96cc47f089ce959fd3acd2f69","schema_version":"1.0","event_id":"sha256:66ada385a6d776bcd37f8127c8ebbd20bc27a8d96cc47f089ce959fd3acd2f69"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IN5QNVDCFVPSMA36HKVIUYTH3U/bundle.json","state_url":"https://pith.science/pith/IN5QNVDCFVPSMA36HKVIUYTH3U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IN5QNVDCFVPSMA36HKVIUYTH3U/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":"2026-05-30T22:29:53Z","links":{"resolver":"https://pith.science/pith/IN5QNVDCFVPSMA36HKVIUYTH3U","bundle":"https://pith.science/pith/IN5QNVDCFVPSMA36HKVIUYTH3U/bundle.json","state":"https://pith.science/pith/IN5QNVDCFVPSMA36HKVIUYTH3U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IN5QNVDCFVPSMA36HKVIUYTH3U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:IN5QNVDCFVPSMA36HKVIUYTH3U","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":"f594c39d0f7040efd126541018c43c372c8a4b1b7f7cb0569a4097e76e781e9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2019-02-07T15:12:49Z","title_canon_sha256":"7798ce6d18f043ecf496b428456006244508b7978fc438441f823cc605129f77"},"schema_version":"1.0","source":{"id":"1902.02676","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02676","created_at":"2026-05-17T23:54:32Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02676v1","created_at":"2026-05-17T23:54:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02676","created_at":"2026-05-17T23:54:32Z"},{"alias_kind":"pith_short_12","alias_value":"IN5QNVDCFVPS","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"IN5QNVDCFVPSMA36","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"IN5QNVDC","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:66ada385a6d776bcd37f8127c8ebbd20bc27a8d96cc47f089ce959fd3acd2f69","target":"graph","created_at":"2026-05-17T23:54:32Z","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":"We present a summary of some recent theoretical results for matter-wave patterns in Fermi and Bose-Fermi degenerate gases, obtained in the framework of the quasi-mean-field approximation. We perform a dimensional reduction from the three-dimensional (3D) equations of motion to 2D and 1D effective equations. In both cases, comparison of the low-dimensional reductions to the full model is performed, showing very good agreement for ground-state solutions. Some complex dynamical regimes are reported too for the corresponding 1D systems.","authors_text":"Boris A. Malomed, David Laroze, Pablo D\\'iaz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2019-02-07T15:12:49Z","title":"The variational reduction for low-dimensional Fermi gases and Bose - Fermi mixtures: A brief review"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02676","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:b0784b9b31bcda3048e2a6686b070574bde611141d31940958481421da5a960f","target":"record","created_at":"2026-05-17T23:54:32Z","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":"f594c39d0f7040efd126541018c43c372c8a4b1b7f7cb0569a4097e76e781e9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2019-02-07T15:12:49Z","title_canon_sha256":"7798ce6d18f043ecf496b428456006244508b7978fc438441f823cc605129f77"},"schema_version":"1.0","source":{"id":"1902.02676","kind":"arxiv","version":1}},"canonical_sha256":"437b06d4622d5f26037e3aaa8a6267dd1c221c59ad2ccf9b385d96b179b6ac8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"437b06d4622d5f26037e3aaa8a6267dd1c221c59ad2ccf9b385d96b179b6ac8d","first_computed_at":"2026-05-17T23:54:32.504709Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:32.504709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oOC3K5MFVrUjXHYRrBk1mlxEwH2BT4hOroqUgU0v3tWrAIv9nPUUy1XsgYrt2T7k9fOPPi+f5vr8Dk1n821yDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:32.505350Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.02676","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0784b9b31bcda3048e2a6686b070574bde611141d31940958481421da5a960f","sha256:66ada385a6d776bcd37f8127c8ebbd20bc27a8d96cc47f089ce959fd3acd2f69"],"state_sha256":"7e2b1d0a46b882fc93d3f8e74e4374ddc8ba3b927eaf0ff0549c6d4b5323bd3b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QZTHMDyftSBsR3GbJuSCnmRe5UUZS/qfmPWOPkD4HhclsyxCHApWE94MOSBnR2O34o4wdTbFhK0ek67T1KsQAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T22:29:53.682793Z","bundle_sha256":"aca1a13b3d53bba8c76bb9ef114edba5fb0c986f57502aa53d51c59ae3590cc9"}}