{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6HILDJ6VZDORZWQWUJKP5J2BRE","short_pith_number":"pith:6HILDJ6V","canonical_record":{"source":{"id":"1602.03785","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-11T16:31:15Z","cross_cats_sorted":[],"title_canon_sha256":"853176611f8416c7282920c198f73aaefd81c88fcb70c4ecc766dacc95e3080f","abstract_canon_sha256":"03b45ca6eb8410ccf784338d355086c19406128c946aab99e52b4be2bfa2b486"},"schema_version":"1.0"},"canonical_sha256":"f1d0b1a7d5c8dd1cda16a254fea741891af4609ef1004df15e2a14cf1bc2fe73","source":{"kind":"arxiv","id":"1602.03785","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.03785","created_at":"2026-05-18T00:44:09Z"},{"alias_kind":"arxiv_version","alias_value":"1602.03785v4","created_at":"2026-05-18T00:44:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03785","created_at":"2026-05-18T00:44:09Z"},{"alias_kind":"pith_short_12","alias_value":"6HILDJ6VZDOR","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6HILDJ6VZDORZWQW","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6HILDJ6V","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6HILDJ6VZDORZWQWUJKP5J2BRE","target":"record","payload":{"canonical_record":{"source":{"id":"1602.03785","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-11T16:31:15Z","cross_cats_sorted":[],"title_canon_sha256":"853176611f8416c7282920c198f73aaefd81c88fcb70c4ecc766dacc95e3080f","abstract_canon_sha256":"03b45ca6eb8410ccf784338d355086c19406128c946aab99e52b4be2bfa2b486"},"schema_version":"1.0"},"canonical_sha256":"f1d0b1a7d5c8dd1cda16a254fea741891af4609ef1004df15e2a14cf1bc2fe73","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:09.829085Z","signature_b64":"2bZQ49iKhA/ONxLqXJy0eo/gI56MwlvsrKre7om75upUZQ1Nv91A1LAwjs4zBaku0w8O7RxMRgHbWtmRtkaIDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1d0b1a7d5c8dd1cda16a254fea741891af4609ef1004df15e2a14cf1bc2fe73","last_reissued_at":"2026-05-18T00:44:09.828645Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:09.828645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.03785","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BuUbRCMbXSAmT2gnJTlpP24ts+y+xgBy6HpyBTYfLtcpJBdLxkzjHAUlBzJVfaUn4RmZAr0Wq0EnCGlb1hDPDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T02:48:28.380508Z"},"content_sha256":"0f563bbf21ff18733f0f1cf4bfe3cc595eabddfdae5879e2f8d8ae56b78e299d","schema_version":"1.0","event_id":"sha256:0f563bbf21ff18733f0f1cf4bfe3cc595eabddfdae5879e2f8d8ae56b78e299d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6HILDJ6VZDORZWQWUJKP5J2BRE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distinguishability revisited: depth dependent bounds on reconstruction quality in electrical impedance tomography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Henrik Garde, Kim Knudsen","submitted_at":"2016-02-11T16:31:15Z","abstract_excerpt":"The reconstruction problem in electrical impedance tomography is highly ill-posed, and it is often observed numerically that reconstructions have poor resolution far away from the measurement boundary but better resolution near the measurement boundary. The observation can be quantified by the concept of distinguishability of inclusions. This paper provides mathematically rigorous results supporting the intuition. Indeed, for a model problem lower and upper bounds on the distinguishability of an inclusion are derived in terms of the boundary data. These bounds depend explicitly on the distance"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03785","kind":"arxiv","version":4},"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":"2026-05-18T00:44:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XHmW9Tt10Z+WsWcjLKnSLWtdyphjlCDPRkh/2EQZJHDxlWnmV9HrUnWOaQiEIqNsEXitf8uEMdl4Mw4XcyJBCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T02:48:28.380856Z"},"content_sha256":"2a9f3b360bbb095e57c01b6a3e686d83327e6cf19cfdf4afc3e477d30dcbd788","schema_version":"1.0","event_id":"sha256:2a9f3b360bbb095e57c01b6a3e686d83327e6cf19cfdf4afc3e477d30dcbd788"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6HILDJ6VZDORZWQWUJKP5J2BRE/bundle.json","state_url":"https://pith.science/pith/6HILDJ6VZDORZWQWUJKP5J2BRE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6HILDJ6VZDORZWQWUJKP5J2BRE/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":"2026-06-21T02:48:28Z","links":{"resolver":"https://pith.science/pith/6HILDJ6VZDORZWQWUJKP5J2BRE","bundle":"https://pith.science/pith/6HILDJ6VZDORZWQWUJKP5J2BRE/bundle.json","state":"https://pith.science/pith/6HILDJ6VZDORZWQWUJKP5J2BRE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6HILDJ6VZDORZWQWUJKP5J2BRE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6HILDJ6VZDORZWQWUJKP5J2BRE","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":"03b45ca6eb8410ccf784338d355086c19406128c946aab99e52b4be2bfa2b486","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-11T16:31:15Z","title_canon_sha256":"853176611f8416c7282920c198f73aaefd81c88fcb70c4ecc766dacc95e3080f"},"schema_version":"1.0","source":{"id":"1602.03785","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.03785","created_at":"2026-05-18T00:44:09Z"},{"alias_kind":"arxiv_version","alias_value":"1602.03785v4","created_at":"2026-05-18T00:44:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03785","created_at":"2026-05-18T00:44:09Z"},{"alias_kind":"pith_short_12","alias_value":"6HILDJ6VZDOR","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6HILDJ6VZDORZWQW","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6HILDJ6V","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:2a9f3b360bbb095e57c01b6a3e686d83327e6cf19cfdf4afc3e477d30dcbd788","target":"graph","created_at":"2026-05-18T00:44:09Z","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 reconstruction problem in electrical impedance tomography is highly ill-posed, and it is often observed numerically that reconstructions have poor resolution far away from the measurement boundary but better resolution near the measurement boundary. The observation can be quantified by the concept of distinguishability of inclusions. This paper provides mathematically rigorous results supporting the intuition. Indeed, for a model problem lower and upper bounds on the distinguishability of an inclusion are derived in terms of the boundary data. These bounds depend explicitly on the distance","authors_text":"Henrik Garde, Kim Knudsen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-11T16:31:15Z","title":"Distinguishability revisited: depth dependent bounds on reconstruction quality in electrical impedance tomography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03785","kind":"arxiv","version":4},"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":"sha256:0f563bbf21ff18733f0f1cf4bfe3cc595eabddfdae5879e2f8d8ae56b78e299d","target":"record","created_at":"2026-05-18T00:44:09Z","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":"03b45ca6eb8410ccf784338d355086c19406128c946aab99e52b4be2bfa2b486","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-11T16:31:15Z","title_canon_sha256":"853176611f8416c7282920c198f73aaefd81c88fcb70c4ecc766dacc95e3080f"},"schema_version":"1.0","source":{"id":"1602.03785","kind":"arxiv","version":4}},"canonical_sha256":"f1d0b1a7d5c8dd1cda16a254fea741891af4609ef1004df15e2a14cf1bc2fe73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1d0b1a7d5c8dd1cda16a254fea741891af4609ef1004df15e2a14cf1bc2fe73","first_computed_at":"2026-05-18T00:44:09.828645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:09.828645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2bZQ49iKhA/ONxLqXJy0eo/gI56MwlvsrKre7om75upUZQ1Nv91A1LAwjs4zBaku0w8O7RxMRgHbWtmRtkaIDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:09.829085Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.03785","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f563bbf21ff18733f0f1cf4bfe3cc595eabddfdae5879e2f8d8ae56b78e299d","sha256:2a9f3b360bbb095e57c01b6a3e686d83327e6cf19cfdf4afc3e477d30dcbd788"],"state_sha256":"6b4ab3e140cc0ea27086436d74b84f2c44552e38f0580c54ab3d334a8b7af481"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bzl6epKrcHQtrzNjgIpW/bYVLvBfTvyedTsJLMyCdtw3Q0EaGmDgp4aUCXUhyHklLJ5Bg9wyB/QodFJVbpJGCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T02:48:28.382794Z","bundle_sha256":"db5c5acffe6d2c1dd9d738b37f19e0deb1e5c032b727e4ad49c52e57018876ed"}}