{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7JAFIAS76CMZXTWNKXA35LJI7P","short_pith_number":"pith:7JAFIAS7","canonical_record":{"source":{"id":"1310.7051","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-25T23:33:37Z","cross_cats_sorted":[],"title_canon_sha256":"f0e9240a069005fe6eab502a0e9e392ffaae4aaeb3d9992052b248e817f4265c","abstract_canon_sha256":"ba2693f080e2913ab23c9d7cfcf793d35c882f2402457c527ec7a48e21cec801"},"schema_version":"1.0"},"canonical_sha256":"fa4054025ff0999bcecd55c1bead28fbfe6a8590a8c2e04942cbfc56f9469acb","source":{"kind":"arxiv","id":"1310.7051","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7051","created_at":"2026-05-18T01:46:49Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7051v2","created_at":"2026-05-18T01:46:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7051","created_at":"2026-05-18T01:46:49Z"},{"alias_kind":"pith_short_12","alias_value":"7JAFIAS76CMZ","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7JAFIAS76CMZXTWN","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7JAFIAS7","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7JAFIAS76CMZXTWNKXA35LJI7P","target":"record","payload":{"canonical_record":{"source":{"id":"1310.7051","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-25T23:33:37Z","cross_cats_sorted":[],"title_canon_sha256":"f0e9240a069005fe6eab502a0e9e392ffaae4aaeb3d9992052b248e817f4265c","abstract_canon_sha256":"ba2693f080e2913ab23c9d7cfcf793d35c882f2402457c527ec7a48e21cec801"},"schema_version":"1.0"},"canonical_sha256":"fa4054025ff0999bcecd55c1bead28fbfe6a8590a8c2e04942cbfc56f9469acb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:49.222548Z","signature_b64":"/vNMzh5X5p7omIyeaBhSXrsoGlH1Q5RIVZE3tZVXEWcnZSeQOcpK98FjVa7ojTdHxu+5INjmQH1m4vHxqkzLDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa4054025ff0999bcecd55c1bead28fbfe6a8590a8c2e04942cbfc56f9469acb","last_reissued_at":"2026-05-18T01:46:49.221785Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:49.221785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.7051","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":"2026-05-18T01:46:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g3lT7xCD0fx0/gBc1CycI3hwfmhclf7Qxm3WQ0Vz5GX1UOv7nimcbelFcWRf7NlKhD8Mqk3W3CknYfXDFL53DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:01:53.015717Z"},"content_sha256":"a16ef9176aee77b021a12594bc268c034838fa2eadfcfbb468e88101bf9c4ac2","schema_version":"1.0","event_id":"sha256:a16ef9176aee77b021a12594bc268c034838fa2eadfcfbb468e88101bf9c4ac2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7JAFIAS76CMZXTWNKXA35LJI7P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear Fourier analysis for discontinuous conductivities: computational results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Juan Manuel Reyes, Kari Astala, Lassi P\\\"aiv\\\"arinta, Samuli Siltanen","submitted_at":"2013-10-25T23:33:37Z","abstract_excerpt":"Two reconstruction methods of Electrical Impedance Tomography (EIT) are numerically compared for nonsmooth conductivities in the plane based on the use of complex geometrical optics (CGO) solutions to D-bar equations involving the global uniqueness proofs for Calder\\'on problem exposed in [Nachman; Annals of Mathematics 143, 1996] and [Astala and P\\\"aiv\\\"arinta; Annals of Mathematics 163, 2006]: the Astala-P\\\"aiv\\\"arinta theory-based \"low-pass transport matrix method\" implemented in [Astala et al.; Inverse Problems and Imaging 5, 2011] and the \"shortcut method\" which considers ingredients of b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7051","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":"2026-05-18T01:46:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wts8Sl5pnYTxKaBeuc+UJdrWt5VwV0Bc2s1GVwogWx6auVgi24jK+dhmwxIDv2M5pXor83AGACk8wQcH1LsNBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:01:53.016436Z"},"content_sha256":"fdb3adccdfb173e34aba054caf76ff61b27dd4d982a8add58449320a72ec02ef","schema_version":"1.0","event_id":"sha256:fdb3adccdfb173e34aba054caf76ff61b27dd4d982a8add58449320a72ec02ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7JAFIAS76CMZXTWNKXA35LJI7P/bundle.json","state_url":"https://pith.science/pith/7JAFIAS76CMZXTWNKXA35LJI7P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7JAFIAS76CMZXTWNKXA35LJI7P/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":"2026-05-28T20:01:53Z","links":{"resolver":"https://pith.science/pith/7JAFIAS76CMZXTWNKXA35LJI7P","bundle":"https://pith.science/pith/7JAFIAS76CMZXTWNKXA35LJI7P/bundle.json","state":"https://pith.science/pith/7JAFIAS76CMZXTWNKXA35LJI7P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7JAFIAS76CMZXTWNKXA35LJI7P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7JAFIAS76CMZXTWNKXA35LJI7P","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":"ba2693f080e2913ab23c9d7cfcf793d35c882f2402457c527ec7a48e21cec801","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-25T23:33:37Z","title_canon_sha256":"f0e9240a069005fe6eab502a0e9e392ffaae4aaeb3d9992052b248e817f4265c"},"schema_version":"1.0","source":{"id":"1310.7051","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7051","created_at":"2026-05-18T01:46:49Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7051v2","created_at":"2026-05-18T01:46:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7051","created_at":"2026-05-18T01:46:49Z"},{"alias_kind":"pith_short_12","alias_value":"7JAFIAS76CMZ","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7JAFIAS76CMZXTWN","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7JAFIAS7","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:fdb3adccdfb173e34aba054caf76ff61b27dd4d982a8add58449320a72ec02ef","target":"graph","created_at":"2026-05-18T01:46:49Z","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":"Two reconstruction methods of Electrical Impedance Tomography (EIT) are numerically compared for nonsmooth conductivities in the plane based on the use of complex geometrical optics (CGO) solutions to D-bar equations involving the global uniqueness proofs for Calder\\'on problem exposed in [Nachman; Annals of Mathematics 143, 1996] and [Astala and P\\\"aiv\\\"arinta; Annals of Mathematics 163, 2006]: the Astala-P\\\"aiv\\\"arinta theory-based \"low-pass transport matrix method\" implemented in [Astala et al.; Inverse Problems and Imaging 5, 2011] and the \"shortcut method\" which considers ingredients of b","authors_text":"Juan Manuel Reyes, Kari Astala, Lassi P\\\"aiv\\\"arinta, Samuli Siltanen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-25T23:33:37Z","title":"Nonlinear Fourier analysis for discontinuous conductivities: computational results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7051","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:a16ef9176aee77b021a12594bc268c034838fa2eadfcfbb468e88101bf9c4ac2","target":"record","created_at":"2026-05-18T01:46:49Z","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":"ba2693f080e2913ab23c9d7cfcf793d35c882f2402457c527ec7a48e21cec801","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-25T23:33:37Z","title_canon_sha256":"f0e9240a069005fe6eab502a0e9e392ffaae4aaeb3d9992052b248e817f4265c"},"schema_version":"1.0","source":{"id":"1310.7051","kind":"arxiv","version":2}},"canonical_sha256":"fa4054025ff0999bcecd55c1bead28fbfe6a8590a8c2e04942cbfc56f9469acb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa4054025ff0999bcecd55c1bead28fbfe6a8590a8c2e04942cbfc56f9469acb","first_computed_at":"2026-05-18T01:46:49.221785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:49.221785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/vNMzh5X5p7omIyeaBhSXrsoGlH1Q5RIVZE3tZVXEWcnZSeQOcpK98FjVa7ojTdHxu+5INjmQH1m4vHxqkzLDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:49.222548Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.7051","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a16ef9176aee77b021a12594bc268c034838fa2eadfcfbb468e88101bf9c4ac2","sha256:fdb3adccdfb173e34aba054caf76ff61b27dd4d982a8add58449320a72ec02ef"],"state_sha256":"bb02550aa6e41f3110ef5cddfc2fffcef224dee94ea37206fa170c28ab23723e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZxSJRsxhLg+Ou4ZME3EHfmGB6I4XX7mWJ0Cmrt7Rw43mcmkyUmcytwXu0xlLv6rFJDbXWvvhUtZCSiQls5E0DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T20:01:53.020023Z","bundle_sha256":"c8377c1a90c8893e43660eaa62e05ec7547a14955bacdaaeb12b4554bd6bf848"}}