{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:VD3MQ5HLAE3T4RXCKMLA3Q2CAN","short_pith_number":"pith:VD3MQ5HL","schema_version":"1.0","canonical_sha256":"a8f6c874eb01373e46e253160dc3420352682540b50e637bf357351da83e92ff","source":{"kind":"arxiv","id":"2607.14402","version":1},"attestation_state":"computed","paper":{"title":"The two-particle density matrix of a Luttinger liquid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Adrian Del Maestro, Bernd Rosenow, Harini Radhakrishnan, Hatem Barghathi, Matthias Thamm","submitted_at":"2026-07-15T22:37:42Z","abstract_excerpt":"Two-particle coherence is the first level of the reduced-density-matrix hierarchy that contains correlations inaccessible to single-particle observables, yet analytic two-particle density matrices are rare even in one dimension. We derive a closed, finite-size expression for the equal-time two-particle reduced density matrix of spinless fermions in a Tomonaga-Luttinger liquid using constructive bosonization with an explicit ultraviolet cutoff. In addition to the familiar Luttinger parameter $K$-dependent exponent $\\gamma^2=(K+K^{-1}-2)/2$ which governs the spatial decay of matrix elements, the"},"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":"2607.14402","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-15T22:37:42Z","cross_cats_sorted":[],"title_canon_sha256":"d160b9a70c6a9ababe5c4c600036b0c754063e0df75ba154d9257d4fcc2bb3cd","abstract_canon_sha256":"38120c919c52cdd435879072ef6e6b1842938cdb2a37957d6d42b4fc4b9b7673"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-17T00:21:10.856990Z","signature_b64":"XCSbWGuuf7qb0Tpnr4R6KeoIKYrGDx98LA+A/i3Q4mZqUQ/Q/A8fmxRmQ3jH+c0F64RL7yoR1bFTqQBCoiLGBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8f6c874eb01373e46e253160dc3420352682540b50e637bf357351da83e92ff","last_reissued_at":"2026-07-17T00:21:10.856147Z","signature_status":"signed_v1","first_computed_at":"2026-07-17T00:21:10.856147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The two-particle density matrix of a Luttinger liquid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Adrian Del Maestro, Bernd Rosenow, Harini Radhakrishnan, Hatem Barghathi, Matthias Thamm","submitted_at":"2026-07-15T22:37:42Z","abstract_excerpt":"Two-particle coherence is the first level of the reduced-density-matrix hierarchy that contains correlations inaccessible to single-particle observables, yet analytic two-particle density matrices are rare even in one dimension. We derive a closed, finite-size expression for the equal-time two-particle reduced density matrix of spinless fermions in a Tomonaga-Luttinger liquid using constructive bosonization with an explicit ultraviolet cutoff. In addition to the familiar Luttinger parameter $K$-dependent exponent $\\gamma^2=(K+K^{-1}-2)/2$ which governs the spatial decay of matrix elements, the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14402","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.14402/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.14402","created_at":"2026-07-17T00:21:10.856584+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.14402v1","created_at":"2026-07-17T00:21:10.856584+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14402","created_at":"2026-07-17T00:21:10.856584+00:00"},{"alias_kind":"pith_short_12","alias_value":"VD3MQ5HLAE3T","created_at":"2026-07-17T00:21:10.856584+00:00"},{"alias_kind":"pith_short_16","alias_value":"VD3MQ5HLAE3T4RXC","created_at":"2026-07-17T00:21:10.856584+00:00"},{"alias_kind":"pith_short_8","alias_value":"VD3MQ5HL","created_at":"2026-07-17T00:21:10.856584+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/VD3MQ5HLAE3T4RXCKMLA3Q2CAN","json":"https://pith.science/pith/VD3MQ5HLAE3T4RXCKMLA3Q2CAN.json","graph_json":"https://pith.science/api/pith-number/VD3MQ5HLAE3T4RXCKMLA3Q2CAN/graph.json","events_json":"https://pith.science/api/pith-number/VD3MQ5HLAE3T4RXCKMLA3Q2CAN/events.json","paper":"https://pith.science/paper/VD3MQ5HL"},"agent_actions":{"view_html":"https://pith.science/pith/VD3MQ5HLAE3T4RXCKMLA3Q2CAN","download_json":"https://pith.science/pith/VD3MQ5HLAE3T4RXCKMLA3Q2CAN.json","view_paper":"https://pith.science/paper/VD3MQ5HL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.14402&json=true","fetch_graph":"https://pith.science/api/pith-number/VD3MQ5HLAE3T4RXCKMLA3Q2CAN/graph.json","fetch_events":"https://pith.science/api/pith-number/VD3MQ5HLAE3T4RXCKMLA3Q2CAN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VD3MQ5HLAE3T4RXCKMLA3Q2CAN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VD3MQ5HLAE3T4RXCKMLA3Q2CAN/action/storage_attestation","attest_author":"https://pith.science/pith/VD3MQ5HLAE3T4RXCKMLA3Q2CAN/action/author_attestation","sign_citation":"https://pith.science/pith/VD3MQ5HLAE3T4RXCKMLA3Q2CAN/action/citation_signature","submit_replication":"https://pith.science/pith/VD3MQ5HLAE3T4RXCKMLA3Q2CAN/action/replication_record"}},"created_at":"2026-07-17T00:21:10.856584+00:00","updated_at":"2026-07-17T00:21:10.856584+00:00"}