{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:IKU54FN2565UXEBUVYIREOLXZX","short_pith_number":"pith:IKU54FN2","canonical_record":{"source":{"id":"1512.00518","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-01T23:24:13Z","cross_cats_sorted":[],"title_canon_sha256":"cd5f427398306f60e3c5f1f7a2d01db4d4fd309afb44233b37aeb60ada9d772e","abstract_canon_sha256":"4ba10318676fa9f5934772756e079fe3c4729c0819844cf41f0d7ab06a5bb8df"},"schema_version":"1.0"},"canonical_sha256":"42a9de15baefbb4b9034ae11123977cdc6aee6f18e1d1712906214d345905bdc","source":{"kind":"arxiv","id":"1512.00518","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00518","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00518v1","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00518","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"IKU54FN2565U","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IKU54FN2565UXEBU","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IKU54FN2","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:IKU54FN2565UXEBUVYIREOLXZX","target":"record","payload":{"canonical_record":{"source":{"id":"1512.00518","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-01T23:24:13Z","cross_cats_sorted":[],"title_canon_sha256":"cd5f427398306f60e3c5f1f7a2d01db4d4fd309afb44233b37aeb60ada9d772e","abstract_canon_sha256":"4ba10318676fa9f5934772756e079fe3c4729c0819844cf41f0d7ab06a5bb8df"},"schema_version":"1.0"},"canonical_sha256":"42a9de15baefbb4b9034ae11123977cdc6aee6f18e1d1712906214d345905bdc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:25.727759Z","signature_b64":"H8lycduxpzA7izm2Zdaksa5cCDF7Q6YSuYuDPcxQ9oyGzVlYF36k5tJcSnFrXG4/3NlyeO+Dd0U0q+jL46xXAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42a9de15baefbb4b9034ae11123977cdc6aee6f18e1d1712906214d345905bdc","last_reissued_at":"2026-05-18T01:25:25.727103Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:25.727103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.00518","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":"2026-05-18T01:25:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oBcJjyUvyvFuC/OIuWFBt91pc+PtlwNmMoNxcBvXmLSRonOSfsGX5fVkd97G1MU/lcJqvfoae4q+RDrroqRpCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T12:31:10.730062Z"},"content_sha256":"a73e399e16f26596d38ffca36b4acf3088d8e3be3258ff24997efdbea19ea107","schema_version":"1.0","event_id":"sha256:a73e399e16f26596d38ffca36b4acf3088d8e3be3258ff24997efdbea19ea107"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:IKU54FN2565UXEBUVYIREOLXZX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Masaru Ikehata, Mishio Kawashita","submitted_at":"2015-12-01T23:24:13Z","abstract_excerpt":"This paper studies a prototype of inverse initial boundary value problems whose governing equation is the heat equation in three dimensions. An unknown discontinuity embedded in a three-dimensional heat conductive body is considered. A {\\it single} set of the temperature and heat flux on the lateral boundary for a fixed observation time is given as an observation datum. It is shown that this datum yields the minimum length of broken paths that start at a given point outside the body, go to a point on the boundary of the unknown discontinuity and return to a point on the boundary of the body un"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00518","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":"2026-05-18T01:25:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4R0IJRAYcySHlSdmandArlViLDNKMdOgswE7o68Ls/tL5aWI9bDrW/VI0Vi+uZeyruCogH3zkiONbblIJ81wAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T12:31:10.730661Z"},"content_sha256":"645567c0f335cc5f174e9b2ca518f48d48b4870590b4f3152fed531a72bccac8","schema_version":"1.0","event_id":"sha256:645567c0f335cc5f174e9b2ca518f48d48b4870590b4f3152fed531a72bccac8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IKU54FN2565UXEBUVYIREOLXZX/bundle.json","state_url":"https://pith.science/pith/IKU54FN2565UXEBUVYIREOLXZX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IKU54FN2565UXEBUVYIREOLXZX/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":"2026-06-09T12:31:10Z","links":{"resolver":"https://pith.science/pith/IKU54FN2565UXEBUVYIREOLXZX","bundle":"https://pith.science/pith/IKU54FN2565UXEBUVYIREOLXZX/bundle.json","state":"https://pith.science/pith/IKU54FN2565UXEBUVYIREOLXZX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IKU54FN2565UXEBUVYIREOLXZX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IKU54FN2565UXEBUVYIREOLXZX","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":"4ba10318676fa9f5934772756e079fe3c4729c0819844cf41f0d7ab06a5bb8df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-01T23:24:13Z","title_canon_sha256":"cd5f427398306f60e3c5f1f7a2d01db4d4fd309afb44233b37aeb60ada9d772e"},"schema_version":"1.0","source":{"id":"1512.00518","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00518","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00518v1","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00518","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"IKU54FN2565U","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IKU54FN2565UXEBU","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IKU54FN2","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:645567c0f335cc5f174e9b2ca518f48d48b4870590b4f3152fed531a72bccac8","target":"graph","created_at":"2026-05-18T01:25:25Z","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":"This paper studies a prototype of inverse initial boundary value problems whose governing equation is the heat equation in three dimensions. An unknown discontinuity embedded in a three-dimensional heat conductive body is considered. A {\\it single} set of the temperature and heat flux on the lateral boundary for a fixed observation time is given as an observation datum. It is shown that this datum yields the minimum length of broken paths that start at a given point outside the body, go to a point on the boundary of the unknown discontinuity and return to a point on the boundary of the body un","authors_text":"Masaru Ikehata, Mishio Kawashita","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-01T23:24:13Z","title":"An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00518","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:a73e399e16f26596d38ffca36b4acf3088d8e3be3258ff24997efdbea19ea107","target":"record","created_at":"2026-05-18T01:25:25Z","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":"4ba10318676fa9f5934772756e079fe3c4729c0819844cf41f0d7ab06a5bb8df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-01T23:24:13Z","title_canon_sha256":"cd5f427398306f60e3c5f1f7a2d01db4d4fd309afb44233b37aeb60ada9d772e"},"schema_version":"1.0","source":{"id":"1512.00518","kind":"arxiv","version":1}},"canonical_sha256":"42a9de15baefbb4b9034ae11123977cdc6aee6f18e1d1712906214d345905bdc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42a9de15baefbb4b9034ae11123977cdc6aee6f18e1d1712906214d345905bdc","first_computed_at":"2026-05-18T01:25:25.727103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:25.727103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H8lycduxpzA7izm2Zdaksa5cCDF7Q6YSuYuDPcxQ9oyGzVlYF36k5tJcSnFrXG4/3NlyeO+Dd0U0q+jL46xXAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:25.727759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.00518","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a73e399e16f26596d38ffca36b4acf3088d8e3be3258ff24997efdbea19ea107","sha256:645567c0f335cc5f174e9b2ca518f48d48b4870590b4f3152fed531a72bccac8"],"state_sha256":"a83ac6793ad7a576ab661153ce1ae620b538af7aa501212aa333a8c3d07ed2f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XRMe07zkl5u05V1JFOnVOjP7KfpIVlDW4mRvv7Cq70E2YqbAzvk3iYO22O0CrAb5lraoVAjfQ5VcZ5d2+zuZCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T12:31:10.733385Z","bundle_sha256":"ed4d31d2cb8e96060c2d0cdde0ef9fab4b896dcb48d41d5179affb3abf1f9e5e"}}