{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CRVBCZBXTCJZ7TY52CCSJS57WN","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":"ea4b65a16a2bbae20c06fec706cae0386532c4fc8f0c16bf8fe393b0e5af23ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-12-26T16:45:24Z","title_canon_sha256":"b0d8c9bca6926434361a048aba5c610582149786eaafd23b988ac88b936e01d8"},"schema_version":"1.0","source":{"id":"1012.5526","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5526","created_at":"2026-05-18T04:32:23Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5526v1","created_at":"2026-05-18T04:32:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5526","created_at":"2026-05-18T04:32:23Z"},{"alias_kind":"pith_short_12","alias_value":"CRVBCZBXTCJZ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CRVBCZBXTCJZ7TY5","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CRVBCZBX","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:009ed00e61ed3897b6321472d1416561fb655a3d7a38c6d9bef37d5cc5c44caf","target":"graph","created_at":"2026-05-18T04:32:23Z","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":"We consider the inverse scattering problem on the energy interval in three dimensions. We are focused on stability and instability questions for this problem. In particular, we prove an exponential instability estimate which shows optimality of the logarithmic stability result of [Stefanov, 1990] (up to the value of the exponent).","authors_text":"Mikhail Isaev (CMAP)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-12-26T16:45:24Z","title":"Exponential instability in the inverse scattering problem on the energy interval"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5526","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:bfb1593771375527bc84a7450b90fb257be0974c17b504254bbb4097ddcaf107","target":"record","created_at":"2026-05-18T04:32:23Z","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":"ea4b65a16a2bbae20c06fec706cae0386532c4fc8f0c16bf8fe393b0e5af23ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-12-26T16:45:24Z","title_canon_sha256":"b0d8c9bca6926434361a048aba5c610582149786eaafd23b988ac88b936e01d8"},"schema_version":"1.0","source":{"id":"1012.5526","kind":"arxiv","version":1}},"canonical_sha256":"146a11643798939fcf1dd08524cbbfb35da60818b18aaf3ccdaf2210d25639c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"146a11643798939fcf1dd08524cbbfb35da60818b18aaf3ccdaf2210d25639c9","first_computed_at":"2026-05-18T04:32:23.148448Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:23.148448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UDU3qvGGencs2hoa4IcnhIXBqF6kjv1BIfGOyNXCe+cr9/Eey9NC7L8JXmlHOfswfmTYh6xAv5u7K7WwkKoWBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:23.149344Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.5526","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfb1593771375527bc84a7450b90fb257be0974c17b504254bbb4097ddcaf107","sha256:009ed00e61ed3897b6321472d1416561fb655a3d7a38c6d9bef37d5cc5c44caf"],"state_sha256":"61fb3516fb369114adecb9f0e8ccc8702e0656d720b2b03b77b7be74ca59a2d3"}