{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:6UKCNKTENKSZMTS4UTMOPO6ZTF","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":"249d32a60ae453fa79a7e49c4d01fa80d12f50f67aad10e791ff6801e530aac7","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-03-17T15:05:30Z","title_canon_sha256":"e556e3d76599b41c9b3e84d8e82196c8dff887e7254e9ffdf5485384c06e213f"},"schema_version":"1.0","source":{"id":"0803.2465","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0803.2465","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"0803.2465v1","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0803.2465","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"6UKCNKTENKSZ","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"6UKCNKTENKSZMTS4","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"6UKCNKTE","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:6c0f7182868a580eaa2bf37272ca7f45d79f69ca5cca1f50062ca2cf1b78d9b1","target":"graph","created_at":"2026-05-18T03:24:43Z","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 study a set of crossed 1D systems, which are coupled with each other via tunnelling at the crossings. We begin with the simplest case with no electron-electron interactions and find that besides the expected level splitting, bound states can emerge. Next, we include an external potential and electron-electron interactions, which are treated within the Hartree approximation. Then, we write down a formal general solution to the problem, giving additional details for the case of a symmetric external potential. Concentrating on the case of a single crossing, we were able to explain recent exper","authors_text":"C. Morais Smith, D. Makogon, N. de Jeu","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-03-17T15:05:30Z","title":"Coupled quantum wires"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0803.2465","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":"sha256:76af68d4b2f18efb821a8c6fbb9a5ded1059459e86a65f42b002648e233151ff","target":"record","created_at":"2026-05-18T03:24:43Z","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":"249d32a60ae453fa79a7e49c4d01fa80d12f50f67aad10e791ff6801e530aac7","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-03-17T15:05:30Z","title_canon_sha256":"e556e3d76599b41c9b3e84d8e82196c8dff887e7254e9ffdf5485384c06e213f"},"schema_version":"1.0","source":{"id":"0803.2465","kind":"arxiv","version":1}},"canonical_sha256":"f51426aa646aa5964e5ca4d8e7bbd9997a05668f73bd342c6a5c739cdbd48eb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f51426aa646aa5964e5ca4d8e7bbd9997a05668f73bd342c6a5c739cdbd48eb9","first_computed_at":"2026-05-18T03:24:43.061436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:43.061436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+VgaF1uMD+6jRzNArurgP/vi/SqujAyIviuUyLkn91lOKkXI/cu4TOgGD7P/xsxQsJGESCIxLoJwOcTy2mTxDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:43.062047Z","signed_message":"canonical_sha256_bytes"},"source_id":"0803.2465","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76af68d4b2f18efb821a8c6fbb9a5ded1059459e86a65f42b002648e233151ff","sha256:6c0f7182868a580eaa2bf37272ca7f45d79f69ca5cca1f50062ca2cf1b78d9b1"],"state_sha256":"595d323dc4ab6546efe385299bb1ba6715145bca730d2d31e6de860d3ff9305a"}