{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YGOKQ2ZXFKGRRIEQ4CC7IOJI7C","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":"57bb27fb9fc1124dc5fc5045b8f66beb584d2be093282e3b0aa6853c04603c44","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-04T10:18:10Z","title_canon_sha256":"70f6849c658c99b249a0101334f087f6c357c6f010906ac5ebe900abcaead8ba"},"schema_version":"1.0","source":{"id":"2606.05977","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.05977","created_at":"2026-06-05T01:15:29Z"},{"alias_kind":"arxiv_version","alias_value":"2606.05977v1","created_at":"2026-06-05T01:15:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.05977","created_at":"2026-06-05T01:15:29Z"},{"alias_kind":"pith_short_12","alias_value":"YGOKQ2ZXFKGR","created_at":"2026-06-05T01:15:29Z"},{"alias_kind":"pith_short_16","alias_value":"YGOKQ2ZXFKGRRIEQ","created_at":"2026-06-05T01:15:29Z"},{"alias_kind":"pith_short_8","alias_value":"YGOKQ2ZX","created_at":"2026-06-05T01:15:29Z"}],"graph_snapshots":[{"event_id":"sha256:d3f9bd4f9cc151d22bccd1e945428f3524522ba45ace7bda94f93a4f1e2b9d0b","target":"graph","created_at":"2026-06-05T01:15:29Z","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/2606.05977/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the inverse medium scattering problem for the Helmholtz equation in two dimensions, i.e., the task to recover a compactly supported penetrable two-dimensional scatterer from full knowledge of the associated far field data or, equivalently, the far field operator. Although this problem is uniquely solvable, it is severely ill-posed and nonlinear. In the regime of weak scattering, the Born approximation yields a linearized relation between the contrast and the far field data, thus overcoming the second difficulty. This linear setting allows to build on recent work on linearized elect","authors_text":"Lisa Sch\\\"atzle, Nuutti Hyv\\\"onen","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-04T10:18:10Z","title":"Direct reconstruction for acoustic inverse Born scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05977","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":"sha256:1fa8e96abcec5ec79bee51fad90120df67ba6c32ba15d2c506d3123844ed2953","target":"record","created_at":"2026-06-05T01:15:29Z","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":"57bb27fb9fc1124dc5fc5045b8f66beb584d2be093282e3b0aa6853c04603c44","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-04T10:18:10Z","title_canon_sha256":"70f6849c658c99b249a0101334f087f6c357c6f010906ac5ebe900abcaead8ba"},"schema_version":"1.0","source":{"id":"2606.05977","kind":"arxiv","version":1}},"canonical_sha256":"c19ca86b372a8d18a090e085f43928f887cdb04190835b5ac668e4120110a275","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c19ca86b372a8d18a090e085f43928f887cdb04190835b5ac668e4120110a275","first_computed_at":"2026-06-05T01:15:29.263030Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T01:15:29.263030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lhg40qSi0lMSVppZL0pYZOd9HOhADDadbQ71itDrHNapXGEGYQSzGVthfEOphWzI6Vx3G3YTOxWrpgOKX4ecDw==","signature_status":"signed_v1","signed_at":"2026-06-05T01:15:29.263490Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.05977","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fa8e96abcec5ec79bee51fad90120df67ba6c32ba15d2c506d3123844ed2953","sha256:d3f9bd4f9cc151d22bccd1e945428f3524522ba45ace7bda94f93a4f1e2b9d0b"],"state_sha256":"5e0af579ba9d93cbf134a65665eb0059fe82b26e0484f83f520c2285f1047046"}