{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:6PBDCRKJBSKLE6RV7JQ4IMPFNO","short_pith_number":"pith:6PBDCRKJ","canonical_record":{"source":{"id":"1902.05182","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-14T01:48:55Z","cross_cats_sorted":[],"title_canon_sha256":"33aecfc7413ce00dcd6136e12374cfa13b922d478281bddac27cac800939ea52","abstract_canon_sha256":"a69faad122c09a83b98ea8ead37366160280d36274fa8426a2382ec84105457e"},"schema_version":"1.0"},"canonical_sha256":"f3c23145490c94b27a35fa61c431e56b84d7e3b967ff5a16a3d8b4b44a1deb1e","source":{"kind":"arxiv","id":"1902.05182","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.05182","created_at":"2026-05-17T23:54:01Z"},{"alias_kind":"arxiv_version","alias_value":"1902.05182v1","created_at":"2026-05-17T23:54:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.05182","created_at":"2026-05-17T23:54:01Z"},{"alias_kind":"pith_short_12","alias_value":"6PBDCRKJBSKL","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"6PBDCRKJBSKLE6RV","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"6PBDCRKJ","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:6PBDCRKJBSKLE6RV7JQ4IMPFNO","target":"record","payload":{"canonical_record":{"source":{"id":"1902.05182","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-14T01:48:55Z","cross_cats_sorted":[],"title_canon_sha256":"33aecfc7413ce00dcd6136e12374cfa13b922d478281bddac27cac800939ea52","abstract_canon_sha256":"a69faad122c09a83b98ea8ead37366160280d36274fa8426a2382ec84105457e"},"schema_version":"1.0"},"canonical_sha256":"f3c23145490c94b27a35fa61c431e56b84d7e3b967ff5a16a3d8b4b44a1deb1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:01.683306Z","signature_b64":"v7Xl/kwc7sXOf5XVCcWylbubuFLwXilOd+6c4k2+ojLZ1d1PyKPKFPtNpkIhPvm4lWwYwA3w/bZLzgpy4HZvAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3c23145490c94b27a35fa61c431e56b84d7e3b967ff5a16a3d8b4b44a1deb1e","last_reissued_at":"2026-05-17T23:54:01.682612Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:01.682612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.05182","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":"2026-05-17T23:54:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9GYp1rhW+l2On18mFIReEnebQyKA5XkExYzLOMaM5QTmdjfmIyp6vs6AHR4iy4jpMhLCdEdVwEnRd2cGcvaJAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:20:45.339119Z"},"content_sha256":"b878db46db068d1763d85feaa00e02ba48d6be15d6c6e63cc54f22446f767274","schema_version":"1.0","event_id":"sha256:b878db46db068d1763d85feaa00e02ba48d6be15d6c6e63cc54f22446f767274"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:6PBDCRKJBSKLE6RV7JQ4IMPFNO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On reconstruction in the inverse conductivity problem with one measurement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Masaru Ikehata","submitted_at":"2019-02-14T01:48:55Z","abstract_excerpt":"We consider an inverse problem for electrically conductive material occupying a domain $\\Omega$ in $\\Bbb R^2$. Let $\\gamma$ be the conductivity of $\\Omega$, and $D$ a subdomain of $\\Omega$. We assume that $\\gamma$ is a positive constant $k$ on $D$, $k\\not=1$ and is $1$ on $\\Omega\\setminus D$; both $D$ and $k$ are unknown. The problem is to find a reconstruction formula of $D$ from the Cauchy data on $\\partial\\Omega$ of a non-constant solution $u$ of the equation $\\nabla\\cdot\\gamma\\nabla u=0$ in $\\Omega$. We prove that if $D$ is known to be a convex polygon such that $\\text{diam}\\,D<\\text{dist}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.05182","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":"2026-05-17T23:54:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v9e/7zTTOX3HBRU4BU4lakpEUs6/bIpIJ4MIgyfdsWsCVv9fgy3d+OmElS+Vo3Z7TyQd1zN4hk8KiAtakS42Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:20:45.339842Z"},"content_sha256":"34fcf054df9417863ca09b6b027dd652dc7d438994aa78bcc5d6506a6fc12741","schema_version":"1.0","event_id":"sha256:34fcf054df9417863ca09b6b027dd652dc7d438994aa78bcc5d6506a6fc12741"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6PBDCRKJBSKLE6RV7JQ4IMPFNO/bundle.json","state_url":"https://pith.science/pith/6PBDCRKJBSKLE6RV7JQ4IMPFNO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6PBDCRKJBSKLE6RV7JQ4IMPFNO/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":"2026-06-09T06:20:45Z","links":{"resolver":"https://pith.science/pith/6PBDCRKJBSKLE6RV7JQ4IMPFNO","bundle":"https://pith.science/pith/6PBDCRKJBSKLE6RV7JQ4IMPFNO/bundle.json","state":"https://pith.science/pith/6PBDCRKJBSKLE6RV7JQ4IMPFNO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6PBDCRKJBSKLE6RV7JQ4IMPFNO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6PBDCRKJBSKLE6RV7JQ4IMPFNO","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":"a69faad122c09a83b98ea8ead37366160280d36274fa8426a2382ec84105457e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-14T01:48:55Z","title_canon_sha256":"33aecfc7413ce00dcd6136e12374cfa13b922d478281bddac27cac800939ea52"},"schema_version":"1.0","source":{"id":"1902.05182","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.05182","created_at":"2026-05-17T23:54:01Z"},{"alias_kind":"arxiv_version","alias_value":"1902.05182v1","created_at":"2026-05-17T23:54:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.05182","created_at":"2026-05-17T23:54:01Z"},{"alias_kind":"pith_short_12","alias_value":"6PBDCRKJBSKL","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"6PBDCRKJBSKLE6RV","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"6PBDCRKJ","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:34fcf054df9417863ca09b6b027dd652dc7d438994aa78bcc5d6506a6fc12741","target":"graph","created_at":"2026-05-17T23:54:01Z","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 an inverse problem for electrically conductive material occupying a domain $\\Omega$ in $\\Bbb R^2$. Let $\\gamma$ be the conductivity of $\\Omega$, and $D$ a subdomain of $\\Omega$. We assume that $\\gamma$ is a positive constant $k$ on $D$, $k\\not=1$ and is $1$ on $\\Omega\\setminus D$; both $D$ and $k$ are unknown. The problem is to find a reconstruction formula of $D$ from the Cauchy data on $\\partial\\Omega$ of a non-constant solution $u$ of the equation $\\nabla\\cdot\\gamma\\nabla u=0$ in $\\Omega$. We prove that if $D$ is known to be a convex polygon such that $\\text{diam}\\,D<\\text{dist}","authors_text":"Masaru Ikehata","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-14T01:48:55Z","title":"On reconstruction in the inverse conductivity problem with one measurement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.05182","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:b878db46db068d1763d85feaa00e02ba48d6be15d6c6e63cc54f22446f767274","target":"record","created_at":"2026-05-17T23:54:01Z","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":"a69faad122c09a83b98ea8ead37366160280d36274fa8426a2382ec84105457e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-14T01:48:55Z","title_canon_sha256":"33aecfc7413ce00dcd6136e12374cfa13b922d478281bddac27cac800939ea52"},"schema_version":"1.0","source":{"id":"1902.05182","kind":"arxiv","version":1}},"canonical_sha256":"f3c23145490c94b27a35fa61c431e56b84d7e3b967ff5a16a3d8b4b44a1deb1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3c23145490c94b27a35fa61c431e56b84d7e3b967ff5a16a3d8b4b44a1deb1e","first_computed_at":"2026-05-17T23:54:01.682612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:01.682612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v7Xl/kwc7sXOf5XVCcWylbubuFLwXilOd+6c4k2+ojLZ1d1PyKPKFPtNpkIhPvm4lWwYwA3w/bZLzgpy4HZvAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:01.683306Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.05182","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b878db46db068d1763d85feaa00e02ba48d6be15d6c6e63cc54f22446f767274","sha256:34fcf054df9417863ca09b6b027dd652dc7d438994aa78bcc5d6506a6fc12741"],"state_sha256":"3e9f48528b2337a194aaad03f515878c43b75365163079fa3e2cc0e0de4f262d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QMmXuUakXakWoYCobFWP9ODHLW3GbV1iegJrA2eT3PXN/CuAP+G8UQwdS7Iwp/kBTbXubRKqQP/3Sh+AiX4tAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T06:20:45.343890Z","bundle_sha256":"dd9e2a9fc6f54248d4110aab81fbd88c71fe04ad91d092b3361e0a1b5515e9b2"}}