{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:36MHES55FNQTVQPZ7TDQT7WEQN","short_pith_number":"pith:36MHES55","canonical_record":{"source":{"id":"1802.05361","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-14T23:43:22Z","cross_cats_sorted":[],"title_canon_sha256":"16d1de92326279e8b5545a96dda1253aeb311bff888b0b699e0a7148adc09a50","abstract_canon_sha256":"98d85d7da5091683e2d22451ce36eb73cd3547c5cebf7a21a315c455e9481e19"},"schema_version":"1.0"},"canonical_sha256":"df98724bbd2b613ac1f9fcc709fec48366bdec56fd91f984d786d5cc32d5e893","source":{"kind":"arxiv","id":"1802.05361","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.05361","created_at":"2026-05-18T00:23:15Z"},{"alias_kind":"arxiv_version","alias_value":"1802.05361v1","created_at":"2026-05-18T00:23:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.05361","created_at":"2026-05-18T00:23:15Z"},{"alias_kind":"pith_short_12","alias_value":"36MHES55FNQT","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"36MHES55FNQTVQPZ","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"36MHES55","created_at":"2026-05-18T12:32:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:36MHES55FNQTVQPZ7TDQT7WEQN","target":"record","payload":{"canonical_record":{"source":{"id":"1802.05361","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-14T23:43:22Z","cross_cats_sorted":[],"title_canon_sha256":"16d1de92326279e8b5545a96dda1253aeb311bff888b0b699e0a7148adc09a50","abstract_canon_sha256":"98d85d7da5091683e2d22451ce36eb73cd3547c5cebf7a21a315c455e9481e19"},"schema_version":"1.0"},"canonical_sha256":"df98724bbd2b613ac1f9fcc709fec48366bdec56fd91f984d786d5cc32d5e893","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:15.857411Z","signature_b64":"COLx6igs4E6Uc4Ly8T8GZ1PN27tpv2SuVXjZkWnUzxxWdBcNYjsJvdCCI1hpBmhFB+rMAG6twlCCuQcKam6GAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df98724bbd2b613ac1f9fcc709fec48366bdec56fd91f984d786d5cc32d5e893","last_reissued_at":"2026-05-18T00:23:15.856841Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:15.856841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.05361","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:23:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9qHXRq5ftN14Wy6iwueidNwn531S80Yg5z8YPv38GYsS7wgEgLkSJLmkfBUCXi//voffj/li7xqbFFxJCWcpAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T13:47:52.850947Z"},"content_sha256":"32f815373d2eed046912f6a53e9dd004a487027a09554af19f0396f3ee75a38a","schema_version":"1.0","event_id":"sha256:32f815373d2eed046912f6a53e9dd004a487027a09554af19f0396f3ee75a38a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:36MHES55FNQTVQPZ7TDQT7WEQN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniqueness of a Potential from Local Boundary Measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ali Feizmohammadi","submitted_at":"2018-02-14T23:43:22Z","abstract_excerpt":"Let $(\\Omega^3,g)$ be a compact smooth Riemannian manifold with smooth boundary and suppose that $U$ is an open set in $\\Omega$ such that $g|_U$ is the Euclidean metric. Let $\\Gamma= \\overline{U} \\cap \\partial \\Omega$ be non-empty, connected, strictly convex and that $U$ is the convex hull of $\\Gamma$. We will study the uniqueness of an unknown potential for the Schr\\\"{o}dinger operator $ -\\triangle_g + q $ from the associated local Dirichlet to Neumann map, $C_q^{\\Gamma,\\Gamma}$. Indeed, we will prove that if the potential $q$ is a priori explicitly known in $U^c$, then one can uniquely recon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.05361","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:23:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cM2BQt2TL7V6+2KYJvEJq9PMHRM7cEPbmotqzO9qB5+rvTmRuP8907cND4k2h66NQdKb5JgKRLvdwIl0b+JZAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T13:47:52.851290Z"},"content_sha256":"3a7e849718ca50574b8c4d6209ce0481b6001a03b7a1ec541b6eaa51577ef2f1","schema_version":"1.0","event_id":"sha256:3a7e849718ca50574b8c4d6209ce0481b6001a03b7a1ec541b6eaa51577ef2f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/36MHES55FNQTVQPZ7TDQT7WEQN/bundle.json","state_url":"https://pith.science/pith/36MHES55FNQTVQPZ7TDQT7WEQN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/36MHES55FNQTVQPZ7TDQT7WEQN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-30T13:47:52Z","links":{"resolver":"https://pith.science/pith/36MHES55FNQTVQPZ7TDQT7WEQN","bundle":"https://pith.science/pith/36MHES55FNQTVQPZ7TDQT7WEQN/bundle.json","state":"https://pith.science/pith/36MHES55FNQTVQPZ7TDQT7WEQN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/36MHES55FNQTVQPZ7TDQT7WEQN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:36MHES55FNQTVQPZ7TDQT7WEQN","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":"98d85d7da5091683e2d22451ce36eb73cd3547c5cebf7a21a315c455e9481e19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-14T23:43:22Z","title_canon_sha256":"16d1de92326279e8b5545a96dda1253aeb311bff888b0b699e0a7148adc09a50"},"schema_version":"1.0","source":{"id":"1802.05361","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.05361","created_at":"2026-05-18T00:23:15Z"},{"alias_kind":"arxiv_version","alias_value":"1802.05361v1","created_at":"2026-05-18T00:23:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.05361","created_at":"2026-05-18T00:23:15Z"},{"alias_kind":"pith_short_12","alias_value":"36MHES55FNQT","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"36MHES55FNQTVQPZ","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"36MHES55","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:3a7e849718ca50574b8c4d6209ce0481b6001a03b7a1ec541b6eaa51577ef2f1","target":"graph","created_at":"2026-05-18T00:23:15Z","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":"Let $(\\Omega^3,g)$ be a compact smooth Riemannian manifold with smooth boundary and suppose that $U$ is an open set in $\\Omega$ such that $g|_U$ is the Euclidean metric. Let $\\Gamma= \\overline{U} \\cap \\partial \\Omega$ be non-empty, connected, strictly convex and that $U$ is the convex hull of $\\Gamma$. We will study the uniqueness of an unknown potential for the Schr\\\"{o}dinger operator $ -\\triangle_g + q $ from the associated local Dirichlet to Neumann map, $C_q^{\\Gamma,\\Gamma}$. Indeed, we will prove that if the potential $q$ is a priori explicitly known in $U^c$, then one can uniquely recon","authors_text":"Ali Feizmohammadi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-14T23:43:22Z","title":"Uniqueness of a Potential from Local Boundary Measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.05361","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":"sha256:32f815373d2eed046912f6a53e9dd004a487027a09554af19f0396f3ee75a38a","target":"record","created_at":"2026-05-18T00:23:15Z","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":"98d85d7da5091683e2d22451ce36eb73cd3547c5cebf7a21a315c455e9481e19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-14T23:43:22Z","title_canon_sha256":"16d1de92326279e8b5545a96dda1253aeb311bff888b0b699e0a7148adc09a50"},"schema_version":"1.0","source":{"id":"1802.05361","kind":"arxiv","version":1}},"canonical_sha256":"df98724bbd2b613ac1f9fcc709fec48366bdec56fd91f984d786d5cc32d5e893","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df98724bbd2b613ac1f9fcc709fec48366bdec56fd91f984d786d5cc32d5e893","first_computed_at":"2026-05-18T00:23:15.856841Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:15.856841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"COLx6igs4E6Uc4Ly8T8GZ1PN27tpv2SuVXjZkWnUzxxWdBcNYjsJvdCCI1hpBmhFB+rMAG6twlCCuQcKam6GAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:15.857411Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.05361","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32f815373d2eed046912f6a53e9dd004a487027a09554af19f0396f3ee75a38a","sha256:3a7e849718ca50574b8c4d6209ce0481b6001a03b7a1ec541b6eaa51577ef2f1"],"state_sha256":"873959de927a651d48289801776567f467757c9a912cb28590c20bfe303bb4af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WmA4daPJ6oEk510qdYJdI5OjCpxebuf1ri9rcnwVHDWDe9ifwOdt7UCM1xtMZJFrdZdOyg4Qbm7WjCXl5AIuDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T13:47:52.853272Z","bundle_sha256":"1f09ba708ecea20f73e2c0e98fad156096a98f320bf7363518916263184d285d"}}