{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:U3XL63EAIRBMLHRI5LAZUAOZAK","short_pith_number":"pith:U3XL63EA","schema_version":"1.0","canonical_sha256":"a6eebf6c804442c59e28eac19a01d902863279a90bc7418ecd08b44ea9a683d7","source":{"kind":"arxiv","id":"cond-mat/0305121","version":1},"attestation_state":"computed","paper":{"title":"Junctions of three quantum wires and the dissipative Hofstadter model","license":"","headline":"","cross_cats":["cond-mat.mes-hall","hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Claudio Chamon, Ian Affleck, Masaki Oshikawa","submitted_at":"2003-05-07T04:53:38Z","abstract_excerpt":"We study a junction of three quantum wires enclosing a magnetic flux. This is the simplest problem of a quantum junction between Tomonaga-Luttinger liquids in which Fermi statistics enter in a non-trivial way. We present a direct connection between this problem and the dissipative Hofstadter problem, or quantum Brownian motion in two dimensions in a periodic potential and an external magnetic field, which in turn is connected to open string theory in a background electromagnetic field. We find non-trivial fixed points corresponding to a chiral conductance tensor leading to an asymmetric flow o"},"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":"cond-mat/0305121","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-05-07T04:53:38Z","cross_cats_sorted":["cond-mat.mes-hall","hep-th"],"title_canon_sha256":"57d83fadc178ecc51e1da10961ae7dce7aa512137851dce66ee8e4ab788610d8","abstract_canon_sha256":"92b7a5ea7534f660d988abbe6e405ad140f7d9e271c89bcfb628960ef7867cf9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:38:44.937263Z","signature_b64":"DTL2sqxaHSale6vVK6UMV9DQfdiVTrCuqvFINUqPiWEPxSHiZfLw+GHFNjRk7JRMUI3zqAcDnz0u6YfzxZIeDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6eebf6c804442c59e28eac19a01d902863279a90bc7418ecd08b44ea9a683d7","last_reissued_at":"2026-07-04T16:38:44.936877Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:38:44.936877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Junctions of three quantum wires and the dissipative Hofstadter model","license":"","headline":"","cross_cats":["cond-mat.mes-hall","hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Claudio Chamon, Ian Affleck, Masaki Oshikawa","submitted_at":"2003-05-07T04:53:38Z","abstract_excerpt":"We study a junction of three quantum wires enclosing a magnetic flux. This is the simplest problem of a quantum junction between Tomonaga-Luttinger liquids in which Fermi statistics enter in a non-trivial way. We present a direct connection between this problem and the dissipative Hofstadter problem, or quantum Brownian motion in two dimensions in a periodic potential and an external magnetic field, which in turn is connected to open string theory in a background electromagnetic field. We find non-trivial fixed points corresponding to a chiral conductance tensor leading to an asymmetric flow o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0305121","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/cond-mat/0305121/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":"cond-mat/0305121","created_at":"2026-07-04T16:38:44.936939+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0305121v1","created_at":"2026-07-04T16:38:44.936939+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0305121","created_at":"2026-07-04T16:38:44.936939+00:00"},{"alias_kind":"pith_short_12","alias_value":"U3XL63EAIRBM","created_at":"2026-07-04T16:38:44.936939+00:00"},{"alias_kind":"pith_short_16","alias_value":"U3XL63EAIRBMLHRI","created_at":"2026-07-04T16:38:44.936939+00:00"},{"alias_kind":"pith_short_8","alias_value":"U3XL63EA","created_at":"2026-07-04T16:38:44.936939+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2606.23234","citing_title":"Wess-Zumino terms in 0+1 SU(N) superspin systems","ref_index":105,"is_internal_anchor":true},{"citing_arxiv_id":"2509.13404","citing_title":"Decoding the string in terms of holographic quantum maps","ref_index":13,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U3XL63EAIRBMLHRI5LAZUAOZAK","json":"https://pith.science/pith/U3XL63EAIRBMLHRI5LAZUAOZAK.json","graph_json":"https://pith.science/api/pith-number/U3XL63EAIRBMLHRI5LAZUAOZAK/graph.json","events_json":"https://pith.science/api/pith-number/U3XL63EAIRBMLHRI5LAZUAOZAK/events.json","paper":"https://pith.science/paper/U3XL63EA"},"agent_actions":{"view_html":"https://pith.science/pith/U3XL63EAIRBMLHRI5LAZUAOZAK","download_json":"https://pith.science/pith/U3XL63EAIRBMLHRI5LAZUAOZAK.json","view_paper":"https://pith.science/paper/U3XL63EA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0305121&json=true","fetch_graph":"https://pith.science/api/pith-number/U3XL63EAIRBMLHRI5LAZUAOZAK/graph.json","fetch_events":"https://pith.science/api/pith-number/U3XL63EAIRBMLHRI5LAZUAOZAK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U3XL63EAIRBMLHRI5LAZUAOZAK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U3XL63EAIRBMLHRI5LAZUAOZAK/action/storage_attestation","attest_author":"https://pith.science/pith/U3XL63EAIRBMLHRI5LAZUAOZAK/action/author_attestation","sign_citation":"https://pith.science/pith/U3XL63EAIRBMLHRI5LAZUAOZAK/action/citation_signature","submit_replication":"https://pith.science/pith/U3XL63EAIRBMLHRI5LAZUAOZAK/action/replication_record"}},"created_at":"2026-07-04T16:38:44.936939+00:00","updated_at":"2026-07-04T16:38:44.936939+00:00"}