{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:I4S4PLQ37WMFVRKWCCHY5CQB5P","short_pith_number":"pith:I4S4PLQ3","schema_version":"1.0","canonical_sha256":"4725c7ae1bfd985ac556108f8e8a01ebe90bc1d6b1a8eb125cf8b3ab832441c6","source":{"kind":"arxiv","id":"0712.2128","version":1},"attestation_state":"computed","paper":{"title":"Functional-integral representation of atomic mixtures","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"K. Ziegler, O. Fialko","submitted_at":"2007-12-13T11:01:58Z","abstract_excerpt":"A mixture of spin-1/2 fermionic atoms and molecules of paired fermionic atoms is studied in an optical lattice. The molecules are formed by an attractive nearest-neighbor interaction. A functional integral is constructed for this many-body system and analyzed in terms of a mean-field approximation and Gaussian fluctuations. This provides a phase diagram with the two merging Mott insulators and an intermediate superfluid. The Gaussian fluctuations give rise to an induced repulsive dimer-dimer interaction mediated by the unpaired fermions. The effect of an unbalanced distribution of spin-up and "},"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":"0712.2128","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2007-12-13T11:01:58Z","cross_cats_sorted":[],"title_canon_sha256":"654443034358ef11baf87711fc55c164a8851dc6b81c11d2be8034b7f143032e","abstract_canon_sha256":"3c2113783bdf24fb6bfdc6c2ae5b0fc3d1e303ef35649908e5f0646da54e0c24"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:38.940163Z","signature_b64":"f6gV97IopncC9a58OmcsK6g73yT/pPW51LmacN2KMM7Luy3WXGdvLXHC/YShAE6CwVEhRBJOqcguuDu8HDqsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4725c7ae1bfd985ac556108f8e8a01ebe90bc1d6b1a8eb125cf8b3ab832441c6","last_reissued_at":"2026-05-18T00:37:38.939666Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:38.939666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Functional-integral representation of atomic mixtures","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"K. Ziegler, O. Fialko","submitted_at":"2007-12-13T11:01:58Z","abstract_excerpt":"A mixture of spin-1/2 fermionic atoms and molecules of paired fermionic atoms is studied in an optical lattice. The molecules are formed by an attractive nearest-neighbor interaction. A functional integral is constructed for this many-body system and analyzed in terms of a mean-field approximation and Gaussian fluctuations. This provides a phase diagram with the two merging Mott insulators and an intermediate superfluid. The Gaussian fluctuations give rise to an induced repulsive dimer-dimer interaction mediated by the unpaired fermions. The effect of an unbalanced distribution of spin-up and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.2128","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":"0712.2128","created_at":"2026-05-18T00:37:38.939745+00:00"},{"alias_kind":"arxiv_version","alias_value":"0712.2128v1","created_at":"2026-05-18T00:37:38.939745+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.2128","created_at":"2026-05-18T00:37:38.939745+00:00"},{"alias_kind":"pith_short_12","alias_value":"I4S4PLQ37WMF","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"I4S4PLQ37WMFVRKW","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"I4S4PLQ3","created_at":"2026-05-18T12:25:55.427421+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/I4S4PLQ37WMFVRKWCCHY5CQB5P","json":"https://pith.science/pith/I4S4PLQ37WMFVRKWCCHY5CQB5P.json","graph_json":"https://pith.science/api/pith-number/I4S4PLQ37WMFVRKWCCHY5CQB5P/graph.json","events_json":"https://pith.science/api/pith-number/I4S4PLQ37WMFVRKWCCHY5CQB5P/events.json","paper":"https://pith.science/paper/I4S4PLQ3"},"agent_actions":{"view_html":"https://pith.science/pith/I4S4PLQ37WMFVRKWCCHY5CQB5P","download_json":"https://pith.science/pith/I4S4PLQ37WMFVRKWCCHY5CQB5P.json","view_paper":"https://pith.science/paper/I4S4PLQ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0712.2128&json=true","fetch_graph":"https://pith.science/api/pith-number/I4S4PLQ37WMFVRKWCCHY5CQB5P/graph.json","fetch_events":"https://pith.science/api/pith-number/I4S4PLQ37WMFVRKWCCHY5CQB5P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I4S4PLQ37WMFVRKWCCHY5CQB5P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I4S4PLQ37WMFVRKWCCHY5CQB5P/action/storage_attestation","attest_author":"https://pith.science/pith/I4S4PLQ37WMFVRKWCCHY5CQB5P/action/author_attestation","sign_citation":"https://pith.science/pith/I4S4PLQ37WMFVRKWCCHY5CQB5P/action/citation_signature","submit_replication":"https://pith.science/pith/I4S4PLQ37WMFVRKWCCHY5CQB5P/action/replication_record"}},"created_at":"2026-05-18T00:37:38.939745+00:00","updated_at":"2026-05-18T00:37:38.939745+00:00"}