{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DCCSSOVXUAFPC7Q3H6KWJ5J2O4","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":"9a498113b57db76204c99dff1b459b933a28d3ece7c5c6dbdb2d79af5ebbbcf5","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-17T15:07:17Z","title_canon_sha256":"4efec5e88c356306ee3348b43a0d399d58ff66fdbef2844f63c42fd76b38b19b"},"schema_version":"1.0","source":{"id":"1411.4506","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4506","created_at":"2026-05-18T02:35:45Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4506v1","created_at":"2026-05-18T02:35:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4506","created_at":"2026-05-18T02:35:45Z"},{"alias_kind":"pith_short_12","alias_value":"DCCSSOVXUAFP","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DCCSSOVXUAFPC7Q3","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DCCSSOVX","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:41bb50569bf72a535f50aad7d9a4df3b75cb911d809a41a02a05e99ec9f1eba4","target":"graph","created_at":"2026-05-18T02:35:45Z","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":"Here we consider the time evolution of a one-dimensional quantum system with a double barrier given by a couple of two repulsive Dirac's deltas. In such a \"pedagogical\" model we give, by means of the theory of quantum resonances, the explicit expression of the dominant terms of $<\\psi, e^{-it H} \\phi >$, where $H$ is the double-barrier Hamiltonian operator and where $\\psi$ and $\\phi$ are two test functions.","authors_text":"Andrea Sacchetti","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-17T15:07:17Z","title":"Quantum resonances and time decay for a double-barrier model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4506","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":"sha256:943fa9df2fbefb5dd9efa9f64ecaca624a60c1e053310596985a4d6cea8eeb18","target":"record","created_at":"2026-05-18T02:35:45Z","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":"9a498113b57db76204c99dff1b459b933a28d3ece7c5c6dbdb2d79af5ebbbcf5","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-17T15:07:17Z","title_canon_sha256":"4efec5e88c356306ee3348b43a0d399d58ff66fdbef2844f63c42fd76b38b19b"},"schema_version":"1.0","source":{"id":"1411.4506","kind":"arxiv","version":1}},"canonical_sha256":"1885293ab7a00af17e1b3f9564f53a7717e95850c46ee989ccb4b60b45730373","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1885293ab7a00af17e1b3f9564f53a7717e95850c46ee989ccb4b60b45730373","first_computed_at":"2026-05-18T02:35:45.617570Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:45.617570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6fWnUofzUm07+ZtTnNDdfTI9wcLSw9A2DqDBityKIFG1RTBTfYnVqsrxEZEEtZT7Jb7eHtqRuaYFLWTGX7dXDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:45.618027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4506","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:943fa9df2fbefb5dd9efa9f64ecaca624a60c1e053310596985a4d6cea8eeb18","sha256:41bb50569bf72a535f50aad7d9a4df3b75cb911d809a41a02a05e99ec9f1eba4"],"state_sha256":"8581f9fda97925f6d2478400ac384356ad1f3cfcb4f4e484c9547e1205493fb3"}