{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5YY54OUYSZMHKVTCCDMJ3TLTSW","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":"8b5936652b3977648c394484e2eac1d7197682dcd56f3eb633f08d445a199369","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-07-31T00:34:29Z","title_canon_sha256":"9688243b542b0bde75066d429d64e2a6c48b53d844b71067198b14f9f8e7cd94"},"schema_version":"1.0","source":{"id":"1707.09687","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.09687","created_at":"2026-05-18T00:39:10Z"},{"alias_kind":"arxiv_version","alias_value":"1707.09687v1","created_at":"2026-05-18T00:39:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09687","created_at":"2026-05-18T00:39:10Z"},{"alias_kind":"pith_short_12","alias_value":"5YY54OUYSZMH","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"5YY54OUYSZMHKVTC","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"5YY54OUY","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:396c60a6d05ccb82d0ea393d1142ccb6c48e7c3321969d606a207a0a91fdf3f5","target":"graph","created_at":"2026-05-18T00:39:10Z","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":"The convergence of Levenberg-Marquard method is discussed for the inverse problem to reconstruct the storage modulus and loss modulus for the so called scalar model by single interior measurement. The scalar model is the most simplest model for data analysis used as the modeling partial differential equation in the diagnosing modality called the magnetic resonance elastography which is used to diagnose for instance lever cancer. The convergence of the method is proved by showing that the measurement map which maps the above unknown moduli to the measured data satisfies the so called the tangen","authors_text":"Gen Nakamura, Yu Jiang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-07-31T00:34:29Z","title":"Convergence of Lebenberg-Marquard method for the Inverse Problem with an Interior Measurement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09687","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":"sha256:4ad19de1d9c87f483fd3ac998251e31a085f340ab3eb7a5482310d57e41569d1","target":"record","created_at":"2026-05-18T00:39:10Z","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":"8b5936652b3977648c394484e2eac1d7197682dcd56f3eb633f08d445a199369","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-07-31T00:34:29Z","title_canon_sha256":"9688243b542b0bde75066d429d64e2a6c48b53d844b71067198b14f9f8e7cd94"},"schema_version":"1.0","source":{"id":"1707.09687","kind":"arxiv","version":1}},"canonical_sha256":"ee31de3a98965875566210d89dcd73959677d6a46eb045826a3a68c1eb667490","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee31de3a98965875566210d89dcd73959677d6a46eb045826a3a68c1eb667490","first_computed_at":"2026-05-18T00:39:10.595617Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:10.595617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rlXLLg/13WjvEvpBZt+nMX+eaX2jlirFPCGdYyJwaB9EdewbbGaI/XmkqT2beR2I0cQ4sbdR2wKt1t1iLQcgDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:10.596484Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.09687","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ad19de1d9c87f483fd3ac998251e31a085f340ab3eb7a5482310d57e41569d1","sha256:396c60a6d05ccb82d0ea393d1142ccb6c48e7c3321969d606a207a0a91fdf3f5"],"state_sha256":"db6d3f0af252469c475b2400eb8f27512b8b2385ac67b017681763d3599fa47e"}