{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RSPQYX36Q5BWPPKDO7322WPHCB","short_pith_number":"pith:RSPQYX36","canonical_record":{"source":{"id":"1511.07079","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-22T22:35:56Z","cross_cats_sorted":[],"title_canon_sha256":"dfdd000d394e1745493b90a2e4915315746a8ef5961e025a8c7b61363455cb2f","abstract_canon_sha256":"16b620bbf6394ae3de2faecb353c3cf17e395c44c6bf9fd1d7e2ca296fa6362a"},"schema_version":"1.0"},"canonical_sha256":"8c9f0c5f7e874367bd4377f7ad59e7107128af3f03a81f261558593587f9cf5c","source":{"kind":"arxiv","id":"1511.07079","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.07079","created_at":"2026-05-18T00:03:41Z"},{"alias_kind":"arxiv_version","alias_value":"1511.07079v2","created_at":"2026-05-18T00:03:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.07079","created_at":"2026-05-18T00:03:41Z"},{"alias_kind":"pith_short_12","alias_value":"RSPQYX36Q5BW","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RSPQYX36Q5BWPPKD","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RSPQYX36","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RSPQYX36Q5BWPPKDO7322WPHCB","target":"record","payload":{"canonical_record":{"source":{"id":"1511.07079","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-22T22:35:56Z","cross_cats_sorted":[],"title_canon_sha256":"dfdd000d394e1745493b90a2e4915315746a8ef5961e025a8c7b61363455cb2f","abstract_canon_sha256":"16b620bbf6394ae3de2faecb353c3cf17e395c44c6bf9fd1d7e2ca296fa6362a"},"schema_version":"1.0"},"canonical_sha256":"8c9f0c5f7e874367bd4377f7ad59e7107128af3f03a81f261558593587f9cf5c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:41.983215Z","signature_b64":"DSsWcUdK2Yfy+Pu9lU7zJUezNqG7W4htB5we9XNw6e308ufu15lxhQpx0CnUJUKdzP6XmtIvgUDUUKaTx2WHCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c9f0c5f7e874367bd4377f7ad59e7107128af3f03a81f261558593587f9cf5c","last_reissued_at":"2026-05-18T00:03:41.982734Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:41.982734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.07079","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:03:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3ZfIdulxzlLyVj7i5qIJp8bxXjN+GMiUDZ/N7aGf/NwmFVWYgnnqguTtAWS0ivQ+FrPBUk9VygkxkYHGeXgkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:28:29.515393Z"},"content_sha256":"422ee1e89d5a43190fd0b92e15f280dfeb77c19d911c718c6daf290faeb7d647","schema_version":"1.0","event_id":"sha256:422ee1e89d5a43190fd0b92e15f280dfeb77c19d911c718c6daf290faeb7d647"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RSPQYX36Q5BWPPKDO7322WPHCB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Enhancing residual-based techniques with shape reconstruction features in Electrical Impedance Tomography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bastian Harrach, Mach Nguyet Minh","submitted_at":"2015-11-22T22:35:56Z","abstract_excerpt":"In electrical impedance tomography, algorithms based on minimizing a linearized residual functional have been widely used due to their flexibility and good performance in practice. However, no rigorous convergence results have been available in the literature yet, and reconstructions tend to contain ringing artifacts. In this work, we shall minimize the linearized residual functional under a linear constraint defined by a monotonicity test, which plays a role of a special regularizer. Global convergence is then established to guarantee that this method is stable under the effects of noise. Mor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.07079","kind":"arxiv","version":2},"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":"2026-05-18T00:03:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m3uS8fDjlyfflKzu5HhB51vNpAlGJP8ExicJ9gAvXEovLFd8Tg4tn6zlaC+SfVm8j+bWpKAqGz00f+Xb20HPCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:28:29.516148Z"},"content_sha256":"48c9b7001784e967b1557a4f3a2b03ca1ebe9317e956d22cd14dac30782a9ab8","schema_version":"1.0","event_id":"sha256:48c9b7001784e967b1557a4f3a2b03ca1ebe9317e956d22cd14dac30782a9ab8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RSPQYX36Q5BWPPKDO7322WPHCB/bundle.json","state_url":"https://pith.science/pith/RSPQYX36Q5BWPPKDO7322WPHCB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RSPQYX36Q5BWPPKDO7322WPHCB/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":"2026-05-31T00:28:29Z","links":{"resolver":"https://pith.science/pith/RSPQYX36Q5BWPPKDO7322WPHCB","bundle":"https://pith.science/pith/RSPQYX36Q5BWPPKDO7322WPHCB/bundle.json","state":"https://pith.science/pith/RSPQYX36Q5BWPPKDO7322WPHCB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RSPQYX36Q5BWPPKDO7322WPHCB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RSPQYX36Q5BWPPKDO7322WPHCB","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":"16b620bbf6394ae3de2faecb353c3cf17e395c44c6bf9fd1d7e2ca296fa6362a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-22T22:35:56Z","title_canon_sha256":"dfdd000d394e1745493b90a2e4915315746a8ef5961e025a8c7b61363455cb2f"},"schema_version":"1.0","source":{"id":"1511.07079","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.07079","created_at":"2026-05-18T00:03:41Z"},{"alias_kind":"arxiv_version","alias_value":"1511.07079v2","created_at":"2026-05-18T00:03:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.07079","created_at":"2026-05-18T00:03:41Z"},{"alias_kind":"pith_short_12","alias_value":"RSPQYX36Q5BW","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RSPQYX36Q5BWPPKD","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RSPQYX36","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:48c9b7001784e967b1557a4f3a2b03ca1ebe9317e956d22cd14dac30782a9ab8","target":"graph","created_at":"2026-05-18T00:03:41Z","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":"In electrical impedance tomography, algorithms based on minimizing a linearized residual functional have been widely used due to their flexibility and good performance in practice. However, no rigorous convergence results have been available in the literature yet, and reconstructions tend to contain ringing artifacts. In this work, we shall minimize the linearized residual functional under a linear constraint defined by a monotonicity test, which plays a role of a special regularizer. Global convergence is then established to guarantee that this method is stable under the effects of noise. Mor","authors_text":"Bastian Harrach, Mach Nguyet Minh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-22T22:35:56Z","title":"Enhancing residual-based techniques with shape reconstruction features in Electrical Impedance Tomography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.07079","kind":"arxiv","version":2},"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":"sha256:422ee1e89d5a43190fd0b92e15f280dfeb77c19d911c718c6daf290faeb7d647","target":"record","created_at":"2026-05-18T00:03:41Z","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":"16b620bbf6394ae3de2faecb353c3cf17e395c44c6bf9fd1d7e2ca296fa6362a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-22T22:35:56Z","title_canon_sha256":"dfdd000d394e1745493b90a2e4915315746a8ef5961e025a8c7b61363455cb2f"},"schema_version":"1.0","source":{"id":"1511.07079","kind":"arxiv","version":2}},"canonical_sha256":"8c9f0c5f7e874367bd4377f7ad59e7107128af3f03a81f261558593587f9cf5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c9f0c5f7e874367bd4377f7ad59e7107128af3f03a81f261558593587f9cf5c","first_computed_at":"2026-05-18T00:03:41.982734Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:41.982734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DSsWcUdK2Yfy+Pu9lU7zJUezNqG7W4htB5we9XNw6e308ufu15lxhQpx0CnUJUKdzP6XmtIvgUDUUKaTx2WHCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:41.983215Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.07079","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:422ee1e89d5a43190fd0b92e15f280dfeb77c19d911c718c6daf290faeb7d647","sha256:48c9b7001784e967b1557a4f3a2b03ca1ebe9317e956d22cd14dac30782a9ab8"],"state_sha256":"92d5bee7032e7861d3c428ed0a3fcf91ae8870cd1a51e346b42e7d6cfccb7f3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xbe5OEpCOw4fv5f1MKtpGXV8Yv9IGIbK7aSfPqdWoqLOdl/Tt3DqwEkWXBAQJpFOtyA3eRlgxp6nqlClryntAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T00:28:29.519811Z","bundle_sha256":"abd561b2e9a7b1e939364c90fbe8fdd4b0e727f1a21b0cd875eebb1ffa57cd58"}}