{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JKFFT7Z33NE32FN7WAY55T3JRI","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":"7a0102e8ce03d1cde85d071e1f1dca5c1135810c23882b34ed6c7223bbf746f8","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-19T16:54:28Z","title_canon_sha256":"73da89faa268ba21fc12e23a8bbba4bfa496733095bbc76a52b8cc1dc6586073"},"schema_version":"1.0","source":{"id":"1302.4669","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4669","created_at":"2026-05-18T03:21:33Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4669v3","created_at":"2026-05-18T03:21:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4669","created_at":"2026-05-18T03:21:33Z"},{"alias_kind":"pith_short_12","alias_value":"JKFFT7Z33NE3","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JKFFT7Z33NE32FN7","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JKFFT7Z3","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:cc5086a7cd8beabc4658340b241bc8de17c83838c38c568a3bf1cc6a164f8c14","target":"graph","created_at":"2026-05-18T03:21:33Z","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":"The Schr\\\"odinger integral-equation approach for calculating the classical first-passage time (C-fpt) probability density is extended to the case of quantum first-passage time (Q-fpt). Using this extension, we have calculated analytically the Q-fpt probability density for a class of few-site/state tight-binding Hamiltonian systems, e.g., a qubit, as well as for an infinite 1D lattice. The defining feature of such a quantum system is that the passage across the boundary between a subspace (omega) and its complement (omega-bar) is through a unique pair of \"door-way\" sites such that the first dep","authors_text":"N.Kumar, Ranjith V.","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-19T16:54:28Z","title":"Quantum First-Passage Time: Exact Solutions for a Class of Tight-Binding Hamiltonian Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4669","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:c8720f05be3e6e4e672c7eb44981e45e7107f13667f36f603f74bbaca770e4a9","target":"record","created_at":"2026-05-18T03:21:33Z","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":"7a0102e8ce03d1cde85d071e1f1dca5c1135810c23882b34ed6c7223bbf746f8","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-19T16:54:28Z","title_canon_sha256":"73da89faa268ba21fc12e23a8bbba4bfa496733095bbc76a52b8cc1dc6586073"},"schema_version":"1.0","source":{"id":"1302.4669","kind":"arxiv","version":3}},"canonical_sha256":"4a8a59ff3bdb49bd15bfb031decf698a39a30c9728a6d67548f70c3109c8c983","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a8a59ff3bdb49bd15bfb031decf698a39a30c9728a6d67548f70c3109c8c983","first_computed_at":"2026-05-18T03:21:33.434701Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:33.434701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ilwIUhhUdFx5nL0k8th4DlhfIuN7hYbiIabU78BVmNBK2ezcGuiI8UP8j4tqGf0qchmtNekqYGvyWQtHiotPDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:33.435531Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4669","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8720f05be3e6e4e672c7eb44981e45e7107f13667f36f603f74bbaca770e4a9","sha256:cc5086a7cd8beabc4658340b241bc8de17c83838c38c568a3bf1cc6a164f8c14"],"state_sha256":"f6083b80dbc31ea31b640462497bd463a25e4f61284e9853f5231b01ad498152"}