{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:KTLKKVGGROPQTMHVGU6BB5F66L","short_pith_number":"pith:KTLKKVGG","schema_version":"1.0","canonical_sha256":"54d6a554c68b9f09b0f5353c10f4bef2c0b5031d4e7f47036030499080b1aad8","source":{"kind":"arxiv","id":"1206.4064","version":3},"attestation_state":"computed","paper":{"title":"Superfluidity of Dirac Fermions in a Tunable Honeycomb Lattice: Cooper Pairing, Collective Modes, and Critical Currents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","cond-mat.supr-con"],"primary_cat":"cond-mat.quant-gas","authors_text":"Arun Paramekanti, R. Ganesh, Shunji Tsuchiya","submitted_at":"2012-06-18T20:16:05Z","abstract_excerpt":"Motivated by recent experiments on atomic Dirac fermions in a tunable honeycomb optical lattice, we study the attractive Hubbard model of superfluidity in the anisotropic honeycomb lattice. At weak-coupling, we find that the maximum mean field pairing transition temperature, as a function of density and interaction strength, occurs for the case with isotropic hopping amplitudes. In this isotropic case, we go beyond mean field theory and study collective fluctuations, treating both pairing and density fluctuations for interaction strengths ranging from weak to strong coupling. We find evidence "},"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":"1206.4064","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-06-18T20:16:05Z","cross_cats_sorted":["cond-mat.str-el","cond-mat.supr-con"],"title_canon_sha256":"73fa89690b17f00e2a41183db9523019a66fa42a03df756c9e5d4993b38b097e","abstract_canon_sha256":"3087f186a43d2b28ce6f7332bc90425108725aac9b11d0b4eb79bf6184f9372b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:51.250077Z","signature_b64":"C9M2qp7js+HAnsU1E+kvQg0ekjoxGJV+ddBtT2cNY698QzfQEEwCyE98MhxqeKsOJigmcj77mZB74Spr1k0GDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54d6a554c68b9f09b0f5353c10f4bef2c0b5031d4e7f47036030499080b1aad8","last_reissued_at":"2026-05-18T01:56:51.249395Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:51.249395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Superfluidity of Dirac Fermions in a Tunable Honeycomb Lattice: Cooper Pairing, Collective Modes, and Critical Currents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","cond-mat.supr-con"],"primary_cat":"cond-mat.quant-gas","authors_text":"Arun Paramekanti, R. Ganesh, Shunji Tsuchiya","submitted_at":"2012-06-18T20:16:05Z","abstract_excerpt":"Motivated by recent experiments on atomic Dirac fermions in a tunable honeycomb optical lattice, we study the attractive Hubbard model of superfluidity in the anisotropic honeycomb lattice. At weak-coupling, we find that the maximum mean field pairing transition temperature, as a function of density and interaction strength, occurs for the case with isotropic hopping amplitudes. In this isotropic case, we go beyond mean field theory and study collective fluctuations, treating both pairing and density fluctuations for interaction strengths ranging from weak to strong coupling. We find evidence "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.4064","kind":"arxiv","version":3},"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":"1206.4064","created_at":"2026-05-18T01:56:51.249517+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.4064v3","created_at":"2026-05-18T01:56:51.249517+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.4064","created_at":"2026-05-18T01:56:51.249517+00:00"},{"alias_kind":"pith_short_12","alias_value":"KTLKKVGGROPQ","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"KTLKKVGGROPQTMHV","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"KTLKKVGG","created_at":"2026-05-18T12:27:11.947152+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/KTLKKVGGROPQTMHVGU6BB5F66L","json":"https://pith.science/pith/KTLKKVGGROPQTMHVGU6BB5F66L.json","graph_json":"https://pith.science/api/pith-number/KTLKKVGGROPQTMHVGU6BB5F66L/graph.json","events_json":"https://pith.science/api/pith-number/KTLKKVGGROPQTMHVGU6BB5F66L/events.json","paper":"https://pith.science/paper/KTLKKVGG"},"agent_actions":{"view_html":"https://pith.science/pith/KTLKKVGGROPQTMHVGU6BB5F66L","download_json":"https://pith.science/pith/KTLKKVGGROPQTMHVGU6BB5F66L.json","view_paper":"https://pith.science/paper/KTLKKVGG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.4064&json=true","fetch_graph":"https://pith.science/api/pith-number/KTLKKVGGROPQTMHVGU6BB5F66L/graph.json","fetch_events":"https://pith.science/api/pith-number/KTLKKVGGROPQTMHVGU6BB5F66L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KTLKKVGGROPQTMHVGU6BB5F66L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KTLKKVGGROPQTMHVGU6BB5F66L/action/storage_attestation","attest_author":"https://pith.science/pith/KTLKKVGGROPQTMHVGU6BB5F66L/action/author_attestation","sign_citation":"https://pith.science/pith/KTLKKVGGROPQTMHVGU6BB5F66L/action/citation_signature","submit_replication":"https://pith.science/pith/KTLKKVGGROPQTMHVGU6BB5F66L/action/replication_record"}},"created_at":"2026-05-18T01:56:51.249517+00:00","updated_at":"2026-05-18T01:56:51.249517+00:00"}