{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LBFJMYTJQOWH5ZLGPORXUOBSJC","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":"f98254ca1832a6abd066d5653e1b606b89f887d00ed0cbfbd4739dce2b17d8cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-01-20T18:07:26Z","title_canon_sha256":"0ca3c4d4dfceb15be6aa44edd47b89cd41174b3752cfff3a8c1b6861a70ecf29"},"schema_version":"1.0","source":{"id":"1601.05355","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.05355","created_at":"2026-05-18T01:22:15Z"},{"alias_kind":"arxiv_version","alias_value":"1601.05355v1","created_at":"2026-05-18T01:22:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05355","created_at":"2026-05-18T01:22:15Z"},{"alias_kind":"pith_short_12","alias_value":"LBFJMYTJQOWH","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LBFJMYTJQOWH5ZLG","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LBFJMYTJ","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:45f3dd3d132604cb714b9c779e32676c1920348b7c14dee29fb20717a94dba8f","target":"graph","created_at":"2026-05-18T01:22:15Z","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 study the inverse problem of identifying a periodic potential perturbation of the Dirichlet Laplacian acting in an infinite cylindrical domain, whose cross section is assumed to be bounded. We prove log-log stable determination of the potential with respect to the partial Dirichlet-to-Neumann map, where the Neumann data is taken on slightly more than half of the boundary of the domain.","authors_text":"Eric Soccorsi, Mourad Choulli, Yavar Kian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-01-20T18:07:26Z","title":"Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05355","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:de8de5a22e14f99251524a40508678b2cc7f767a8793e48771a7f5abfddcf00e","target":"record","created_at":"2026-05-18T01:22:15Z","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":"f98254ca1832a6abd066d5653e1b606b89f887d00ed0cbfbd4739dce2b17d8cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-01-20T18:07:26Z","title_canon_sha256":"0ca3c4d4dfceb15be6aa44edd47b89cd41174b3752cfff3a8c1b6861a70ecf29"},"schema_version":"1.0","source":{"id":"1601.05355","kind":"arxiv","version":1}},"canonical_sha256":"584a96626983ac7ee5667ba37a383248991cf06171b5a7911493d40705715fc2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"584a96626983ac7ee5667ba37a383248991cf06171b5a7911493d40705715fc2","first_computed_at":"2026-05-18T01:22:15.363432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:15.363432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z6x8SsVUFa9wd/FWl9gBAwXDzgUKY4DEWT0vq0r5GLfgnxvWfdhSivdI1dc+hsgr1vSF6hJZRMKOflTsHaGVDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:15.364197Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.05355","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de8de5a22e14f99251524a40508678b2cc7f767a8793e48771a7f5abfddcf00e","sha256:45f3dd3d132604cb714b9c779e32676c1920348b7c14dee29fb20717a94dba8f"],"state_sha256":"46f039d3c817d36fbfc27bf0d82b9e7a7b3f610bee402786f6d480d12d722752"}