{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LLXYOCZWZOYXARVMDEHI3KVWMX","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":"bafcafacc4b0db0a9a6483cadea0c1f7d2906668e40644735b14e135a9ab4eef","cross_cats_sorted":["math.MP","physics.chem-ph","physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-03T12:50:12Z","title_canon_sha256":"33a7ba6cb1c30415d60b6675d1e68f4f729e3c8e3654f335d35290e13d3a3042"},"schema_version":"1.0","source":{"id":"1204.0680","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0680","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0680v3","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0680","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"pith_short_12","alias_value":"LLXYOCZWZOYX","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LLXYOCZWZOYXARVM","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LLXYOCZW","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:8d858d962d11857f6d3d75e323da21585ec412195ec6b0eaf93a36b8bda1bf0a","target":"graph","created_at":"2026-05-18T03:55:02Z","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":"Shaped laser pulses are a powerful tool to induce population transfer between electronic molecular states, and time-dependent perturbation theory is suitable for a description of such a transfer in weak external fields. The application of perturbation theory in numerical simulations of field matter interactions can lead to divergences. In a recent paper [K. Renziehausen et. al., J. Phys. B: At. Mol. Opt. Phys., 42:195402, 2009] we explained that the arising error in the norm of the wave function can be split into two parts. The first part is related to numerical errors caused by the discretisa","authors_text":"Klaus Renziehausen","cross_cats":["math.MP","physics.chem-ph","physics.comp-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-03T12:50:12Z","title":"On the divergence of time-dependent perturbation theory applied to laser-induced molecular transitions: Analytical calculations for the simple algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0680","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":"sha256:0d4593e48d216ff1dd0378a8d6f6edd9ab8f2edb03c05d7c6e64611566874a10","target":"record","created_at":"2026-05-18T03:55:02Z","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":"bafcafacc4b0db0a9a6483cadea0c1f7d2906668e40644735b14e135a9ab4eef","cross_cats_sorted":["math.MP","physics.chem-ph","physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-03T12:50:12Z","title_canon_sha256":"33a7ba6cb1c30415d60b6675d1e68f4f729e3c8e3654f335d35290e13d3a3042"},"schema_version":"1.0","source":{"id":"1204.0680","kind":"arxiv","version":3}},"canonical_sha256":"5aef870b36cbb17046ac190e8daab665d1005eb7c596ec960c9ba13b4461aba6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5aef870b36cbb17046ac190e8daab665d1005eb7c596ec960c9ba13b4461aba6","first_computed_at":"2026-05-18T03:55:02.508942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:02.508942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6/bu0g3gLpaVT/+Lb6Lo+PG2WyClOvz2BRrTPBjeG/XUeuVBqXmFRYPX9Z48i9Lj9tDgPoIH4taVJOwZAYpoAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:02.509529Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0680","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d4593e48d216ff1dd0378a8d6f6edd9ab8f2edb03c05d7c6e64611566874a10","sha256:8d858d962d11857f6d3d75e323da21585ec412195ec6b0eaf93a36b8bda1bf0a"],"state_sha256":"73c29598716f3114e44bec15ce58b82f275e711926279f3042c987f299bb1336"}