{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:5CMA3QL4LKVBVZ4BISPZU6OUOD","short_pith_number":"pith:5CMA3QL4","canonical_record":{"source":{"id":"1904.11551","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-25T19:43:03Z","cross_cats_sorted":[],"title_canon_sha256":"873972a182f7b807120147377d49e87971a7f145842ff45aee7e3de4fdd79c61","abstract_canon_sha256":"314981bc4c6709e0593bd19b3db1db0cb80300554b35a56f922a0b10b101e821"},"schema_version":"1.0"},"canonical_sha256":"e8980dc17c5aaa1ae781449f9a79d470ec43468dd8a23ffc506fbb3a45fc9b18","source":{"kind":"arxiv","id":"1904.11551","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.11551","created_at":"2026-05-17T23:47:43Z"},{"alias_kind":"arxiv_version","alias_value":"1904.11551v1","created_at":"2026-05-17T23:47:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.11551","created_at":"2026-05-17T23:47:43Z"},{"alias_kind":"pith_short_12","alias_value":"5CMA3QL4LKVB","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5CMA3QL4LKVBVZ4B","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5CMA3QL4","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:5CMA3QL4LKVBVZ4BISPZU6OUOD","target":"record","payload":{"canonical_record":{"source":{"id":"1904.11551","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-25T19:43:03Z","cross_cats_sorted":[],"title_canon_sha256":"873972a182f7b807120147377d49e87971a7f145842ff45aee7e3de4fdd79c61","abstract_canon_sha256":"314981bc4c6709e0593bd19b3db1db0cb80300554b35a56f922a0b10b101e821"},"schema_version":"1.0"},"canonical_sha256":"e8980dc17c5aaa1ae781449f9a79d470ec43468dd8a23ffc506fbb3a45fc9b18","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:43.399861Z","signature_b64":"uglAZtOVYtaZcM251WHZNvHgMqorgL3ALN4X/ZtbQk+DurveqagGM5oItu8tMeANCpWXm1lCcnlk6HMvuay3BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8980dc17c5aaa1ae781449f9a79d470ec43468dd8a23ffc506fbb3a45fc9b18","last_reissued_at":"2026-05-17T23:47:43.399344Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:43.399344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.11551","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":"2026-05-17T23:47:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PYtRQcAGGsMthwJAkaWt4LFC/Lhc0qNyHaQiIwKdbJUZRTxIYs2Vc33b2Sedk7RZMbzUtO+CFvp6sRgGAOgiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T10:37:20.581965Z"},"content_sha256":"27a7740fe1275a79265a669f2856fd41f4c035d7286473e24fe49deb74efd2b4","schema_version":"1.0","event_id":"sha256:27a7740fe1275a79265a669f2856fd41f4c035d7286473e24fe49deb74efd2b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:5CMA3QL4LKVBVZ4BISPZU6OUOD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conditional stability for an inverse source problem and an application to the estimation of air dose rate radioactive substances by drone data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"G.Floridia, J. Cheng, M. Yamamoto, Y. Chen, Y. Wada","submitted_at":"2019-04-25T19:43:03Z","abstract_excerpt":"We consider the density field $f(x)$ generated by a volume source $\\mu(y)$ in $D$ which is a domain in $\\R^3$. For two disjoint segments $\\gamma, \\Gamma_1$ on a straight line in $\\R^3 \\setminus \\ooo{D}$, we establish a conditional stability estimate of H\\\"older type in determining $f$ on $\\Gamma_1$ by data $f$ on $\\gamma$. This is a theoretical background for real-use solutions for the determination of air dose rates of radioactive substance at the human height level by high-altitude data. The proof of the stability estimate is based on the harmonic extension and the stability for line unique "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11551","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":"2026-05-17T23:47:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"idPG6HAIDDicGpHdfjVXXPQlM/iHvLxaiLv3H/kK1G3+qNdDT3REYKQ7U4d9X4GH4aloDUPVFBW9SqMd4T2TDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T10:37:20.582324Z"},"content_sha256":"bdd2e3394dcad16b78a2eaa1dd18312e7c44e6ed594b6678e6caf0257b450deb","schema_version":"1.0","event_id":"sha256:bdd2e3394dcad16b78a2eaa1dd18312e7c44e6ed594b6678e6caf0257b450deb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5CMA3QL4LKVBVZ4BISPZU6OUOD/bundle.json","state_url":"https://pith.science/pith/5CMA3QL4LKVBVZ4BISPZU6OUOD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5CMA3QL4LKVBVZ4BISPZU6OUOD/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":"2026-07-04T10:37:20Z","links":{"resolver":"https://pith.science/pith/5CMA3QL4LKVBVZ4BISPZU6OUOD","bundle":"https://pith.science/pith/5CMA3QL4LKVBVZ4BISPZU6OUOD/bundle.json","state":"https://pith.science/pith/5CMA3QL4LKVBVZ4BISPZU6OUOD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5CMA3QL4LKVBVZ4BISPZU6OUOD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:5CMA3QL4LKVBVZ4BISPZU6OUOD","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":"314981bc4c6709e0593bd19b3db1db0cb80300554b35a56f922a0b10b101e821","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-25T19:43:03Z","title_canon_sha256":"873972a182f7b807120147377d49e87971a7f145842ff45aee7e3de4fdd79c61"},"schema_version":"1.0","source":{"id":"1904.11551","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.11551","created_at":"2026-05-17T23:47:43Z"},{"alias_kind":"arxiv_version","alias_value":"1904.11551v1","created_at":"2026-05-17T23:47:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.11551","created_at":"2026-05-17T23:47:43Z"},{"alias_kind":"pith_short_12","alias_value":"5CMA3QL4LKVB","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5CMA3QL4LKVBVZ4B","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5CMA3QL4","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:bdd2e3394dcad16b78a2eaa1dd18312e7c44e6ed594b6678e6caf0257b450deb","target":"graph","created_at":"2026-05-17T23:47:43Z","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 density field $f(x)$ generated by a volume source $\\mu(y)$ in $D$ which is a domain in $\\R^3$. For two disjoint segments $\\gamma, \\Gamma_1$ on a straight line in $\\R^3 \\setminus \\ooo{D}$, we establish a conditional stability estimate of H\\\"older type in determining $f$ on $\\Gamma_1$ by data $f$ on $\\gamma$. This is a theoretical background for real-use solutions for the determination of air dose rates of radioactive substance at the human height level by high-altitude data. The proof of the stability estimate is based on the harmonic extension and the stability for line unique ","authors_text":"G.Floridia, J. Cheng, M. Yamamoto, Y. Chen, Y. Wada","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-25T19:43:03Z","title":"Conditional stability for an inverse source problem and an application to the estimation of air dose rate radioactive substances by drone data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11551","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":"sha256:27a7740fe1275a79265a669f2856fd41f4c035d7286473e24fe49deb74efd2b4","target":"record","created_at":"2026-05-17T23:47:43Z","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":"314981bc4c6709e0593bd19b3db1db0cb80300554b35a56f922a0b10b101e821","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-25T19:43:03Z","title_canon_sha256":"873972a182f7b807120147377d49e87971a7f145842ff45aee7e3de4fdd79c61"},"schema_version":"1.0","source":{"id":"1904.11551","kind":"arxiv","version":1}},"canonical_sha256":"e8980dc17c5aaa1ae781449f9a79d470ec43468dd8a23ffc506fbb3a45fc9b18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8980dc17c5aaa1ae781449f9a79d470ec43468dd8a23ffc506fbb3a45fc9b18","first_computed_at":"2026-05-17T23:47:43.399344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:43.399344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uglAZtOVYtaZcM251WHZNvHgMqorgL3ALN4X/ZtbQk+DurveqagGM5oItu8tMeANCpWXm1lCcnlk6HMvuay3BQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:43.399861Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.11551","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27a7740fe1275a79265a669f2856fd41f4c035d7286473e24fe49deb74efd2b4","sha256:bdd2e3394dcad16b78a2eaa1dd18312e7c44e6ed594b6678e6caf0257b450deb"],"state_sha256":"5eeea1f3b9aeee63371e60dc397c2140098a599ec28af5379106779dba5d7a58"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ew1y8VhZtJc/C27jxJaqFYDlzvB+/otsalJHAk7OjXYoShiBnkLoZuOrf+nLVQaTaaLaYxGTSB8+e1ddpgn9DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T10:37:20.584307Z","bundle_sha256":"ae50e5aca9d1d03438d73f8dc8ff4051f3c3b5d7eeac01c2b4e9d9311168e1de"}}