{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:HHF5VYJNONW6Q4LPUTHNSRJK4X","short_pith_number":"pith:HHF5VYJN","canonical_record":{"source":{"id":"1109.1575","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-07T20:32:11Z","cross_cats_sorted":[],"title_canon_sha256":"ba05d507a57ffdd91e5eecebb1ea18d09cbe6829773532e3b6d37cff24fd1e79","abstract_canon_sha256":"4b63337ca6f5876dafccbeeb8b0fce3ec8b6bc531dc0982e10648ec32d291746"},"schema_version":"1.0"},"canonical_sha256":"39cbdae12d736de8716fa4ced9452ae5e24bbfecc5563b8d5cc6f58ae598636b","source":{"kind":"arxiv","id":"1109.1575","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1575","created_at":"2026-05-18T02:55:20Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1575v3","created_at":"2026-05-18T02:55:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1575","created_at":"2026-05-18T02:55:20Z"},{"alias_kind":"pith_short_12","alias_value":"HHF5VYJNONW6","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HHF5VYJNONW6Q4LP","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HHF5VYJN","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:HHF5VYJNONW6Q4LPUTHNSRJK4X","target":"record","payload":{"canonical_record":{"source":{"id":"1109.1575","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-07T20:32:11Z","cross_cats_sorted":[],"title_canon_sha256":"ba05d507a57ffdd91e5eecebb1ea18d09cbe6829773532e3b6d37cff24fd1e79","abstract_canon_sha256":"4b63337ca6f5876dafccbeeb8b0fce3ec8b6bc531dc0982e10648ec32d291746"},"schema_version":"1.0"},"canonical_sha256":"39cbdae12d736de8716fa4ced9452ae5e24bbfecc5563b8d5cc6f58ae598636b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:20.757180Z","signature_b64":"e7W0f68yceCunKsQYkCjMP7i3wOhjczUTzlRke7TtjL7c7N7otOUS2ET9eGHBbvppfV4xBvC44CGG4SXiWIOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39cbdae12d736de8716fa4ced9452ae5e24bbfecc5563b8d5cc6f58ae598636b","last_reissued_at":"2026-05-18T02:55:20.756775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:20.756775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.1575","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:55:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NUpfTCstdkICg7gSF/SoiwIdJNTrHWJGbt4vy6Qf5DBZrctbyUN1W3uNtXroA+Ux17qwwcijH5o7/RQU3RYqAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:06:36.434988Z"},"content_sha256":"1eb8e9de4dc3e2daff8facc491b8d1c9183c56c6105afdd57538f26fee378afc","schema_version":"1.0","event_id":"sha256:1eb8e9de4dc3e2daff8facc491b8d1c9183c56c6105afdd57538f26fee378afc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:HHF5VYJNONW6Q4LPUTHNSRJK4X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coherent transport in multi-branch circuits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"A. Ziletti, F. Borgonovi, F.M. Izrailev, G.L. Celardo, L. Kaplan, V.G. Zelevinsky","submitted_at":"2011-09-07T20:32:11Z","abstract_excerpt":"A multi-branch quantum circuit is considered from the viewpoint of coherent electron or wave transport. Starting with the closed system, we give analytical conditions for the appearance of two isolated localized states out of the energy band. In the open system, using the method of the effective non-Hermitian Hamiltonian, we study signal transmission through such a circuit. The super-radiant transition occurs when the average level width becomes comparable to the mean level spacing. We consider also the case with on-site disorder and find an analytical estimate, confirmed by numerical data, fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1575","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:55:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hryuUsvekogjBbIpDw86Bem6xtEcbyd61ErfF/kcke/EL2+E9XORaqpw5/SNBZTLISlxu9Dk99q19ycelhbQCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:06:36.435785Z"},"content_sha256":"2c7dce65114612971e0b2ea94e316425471d5ec252bf265cdb6aaf67247abeb8","schema_version":"1.0","event_id":"sha256:2c7dce65114612971e0b2ea94e316425471d5ec252bf265cdb6aaf67247abeb8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HHF5VYJNONW6Q4LPUTHNSRJK4X/bundle.json","state_url":"https://pith.science/pith/HHF5VYJNONW6Q4LPUTHNSRJK4X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HHF5VYJNONW6Q4LPUTHNSRJK4X/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T23:06:36Z","links":{"resolver":"https://pith.science/pith/HHF5VYJNONW6Q4LPUTHNSRJK4X","bundle":"https://pith.science/pith/HHF5VYJNONW6Q4LPUTHNSRJK4X/bundle.json","state":"https://pith.science/pith/HHF5VYJNONW6Q4LPUTHNSRJK4X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HHF5VYJNONW6Q4LPUTHNSRJK4X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HHF5VYJNONW6Q4LPUTHNSRJK4X","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":"4b63337ca6f5876dafccbeeb8b0fce3ec8b6bc531dc0982e10648ec32d291746","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-07T20:32:11Z","title_canon_sha256":"ba05d507a57ffdd91e5eecebb1ea18d09cbe6829773532e3b6d37cff24fd1e79"},"schema_version":"1.0","source":{"id":"1109.1575","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1575","created_at":"2026-05-18T02:55:20Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1575v3","created_at":"2026-05-18T02:55:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1575","created_at":"2026-05-18T02:55:20Z"},{"alias_kind":"pith_short_12","alias_value":"HHF5VYJNONW6","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HHF5VYJNONW6Q4LP","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HHF5VYJN","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:2c7dce65114612971e0b2ea94e316425471d5ec252bf265cdb6aaf67247abeb8","target":"graph","created_at":"2026-05-18T02:55:20Z","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":"A multi-branch quantum circuit is considered from the viewpoint of coherent electron or wave transport. Starting with the closed system, we give analytical conditions for the appearance of two isolated localized states out of the energy band. In the open system, using the method of the effective non-Hermitian Hamiltonian, we study signal transmission through such a circuit. The super-radiant transition occurs when the average level width becomes comparable to the mean level spacing. We consider also the case with on-site disorder and find an analytical estimate, confirmed by numerical data, fo","authors_text":"A. Ziletti, F. Borgonovi, F.M. Izrailev, G.L. Celardo, L. Kaplan, V.G. Zelevinsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-07T20:32:11Z","title":"Coherent transport in multi-branch circuits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1575","kind":"arxiv","version":3},"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":"sha256:1eb8e9de4dc3e2daff8facc491b8d1c9183c56c6105afdd57538f26fee378afc","target":"record","created_at":"2026-05-18T02:55:20Z","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":"4b63337ca6f5876dafccbeeb8b0fce3ec8b6bc531dc0982e10648ec32d291746","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-07T20:32:11Z","title_canon_sha256":"ba05d507a57ffdd91e5eecebb1ea18d09cbe6829773532e3b6d37cff24fd1e79"},"schema_version":"1.0","source":{"id":"1109.1575","kind":"arxiv","version":3}},"canonical_sha256":"39cbdae12d736de8716fa4ced9452ae5e24bbfecc5563b8d5cc6f58ae598636b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39cbdae12d736de8716fa4ced9452ae5e24bbfecc5563b8d5cc6f58ae598636b","first_computed_at":"2026-05-18T02:55:20.756775Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:20.756775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e7W0f68yceCunKsQYkCjMP7i3wOhjczUTzlRke7TtjL7c7N7otOUS2ET9eGHBbvppfV4xBvC44CGG4SXiWIOCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:20.757180Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.1575","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1eb8e9de4dc3e2daff8facc491b8d1c9183c56c6105afdd57538f26fee378afc","sha256:2c7dce65114612971e0b2ea94e316425471d5ec252bf265cdb6aaf67247abeb8"],"state_sha256":"54ab1d84daf25fabacf33a57d583deb0f0bed8f7e2cb2ebf29feecff8d9ac99b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MjY5BZd+fX/DVgLqJCTA3fG5DN2mci3Euxz3CWEB3pdFwT+ogUPnfvlSEU0lqkKZtGaWXp3/b8Qy8aNE9a9VDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T23:06:36.440024Z","bundle_sha256":"7854beb2a62d1bdf48aade193e9d4fcfc3e29352e5bca41bb641f45a4b14f0d8"}}