{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:Z7OAM4I2QNZJEOA4OZJZ7DBBL5","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":"0b31fc5d0a2549a6915430371307318bfaa73278813cc4c612c1c8e864fde645","cross_cats_sorted":["math.FA","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2002-03-20T02:41:55Z","title_canon_sha256":"995a8d698d100759144e0cf2d63c996b874bb03946829a0817a399a1a81a69b6"},"schema_version":"1.0","source":{"id":"math-ph/0203038","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0203038","created_at":"2026-07-04T14:33:42Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0203038v1","created_at":"2026-07-04T14:33:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0203038","created_at":"2026-07-04T14:33:42Z"},{"alias_kind":"pith_short_12","alias_value":"Z7OAM4I2QNZJ","created_at":"2026-07-04T14:33:42Z"},{"alias_kind":"pith_short_16","alias_value":"Z7OAM4I2QNZJEOA4","created_at":"2026-07-04T14:33:42Z"},{"alias_kind":"pith_short_8","alias_value":"Z7OAM4I2","created_at":"2026-07-04T14:33:42Z"}],"graph_snapshots":[{"event_id":"sha256:1c3cfedf1a61839057c41593118c69360bb17ca4e45b2e26114ad5115dfde04e","target":"graph","created_at":"2026-07-04T14:33:42Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math-ph/0203038/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In these lectures I give an introduction to the time-dependent approach to inverse scattering, that has been developed recently. The aim of this approach is to solve various inverse scattering problems with time-dependent methods that closely follow the physical (and geometrical) intuition of the scattering phenomena. This method has been applied to many linear and nonlinear scattering problems.","authors_text":"Ricardo Weder","cross_cats":["math.FA","math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2002-03-20T02:41:55Z","title":"The Time-Dependent Approach to Inverse Scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0203038","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":"sha256:7641269df19ee421d4e8423a20e7ce5e2b47830df857b716c79ebd677ecedc1d","target":"record","created_at":"2026-07-04T14:33:42Z","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":"0b31fc5d0a2549a6915430371307318bfaa73278813cc4c612c1c8e864fde645","cross_cats_sorted":["math.FA","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2002-03-20T02:41:55Z","title_canon_sha256":"995a8d698d100759144e0cf2d63c996b874bb03946829a0817a399a1a81a69b6"},"schema_version":"1.0","source":{"id":"math-ph/0203038","kind":"arxiv","version":1}},"canonical_sha256":"cfdc06711a837292381c76539f8c215f63f39e68803bb199716894e709fd63ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cfdc06711a837292381c76539f8c215f63f39e68803bb199716894e709fd63ab","first_computed_at":"2026-07-04T14:33:42.947159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:33:42.947159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+GIWJW1nON5YWXxEoxICMxLIiZd0l6bAPsEq4vCgsCuKWhyGnXzYKYHxc8eaq3jj1GlpjGqJAXZ4IV7Sq4lQAg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:33:42.947491Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0203038","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7641269df19ee421d4e8423a20e7ce5e2b47830df857b716c79ebd677ecedc1d","sha256:1c3cfedf1a61839057c41593118c69360bb17ca4e45b2e26114ad5115dfde04e"],"state_sha256":"3497777e2f9a4819c445aa0f759abc75b12d734b93d831251144b53e104ca66e"}