{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ZI2PTEXSB6P4HL2AOPCHSSJ2V4","short_pith_number":"pith:ZI2PTEXS","canonical_record":{"source":{"id":"1611.07403","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-11-22T16:38:28Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"20b187ac3a533e19bed03fdd9be0d193304f303009b57c5d0ddac9d70fb29a33","abstract_canon_sha256":"a01c99b22970770e4dab99dd784c929bb6057b53c7cd84454069efdf8a841269"},"schema_version":"1.0"},"canonical_sha256":"ca34f992f20f9fc3af4073c479493aaf2e9bebfbd5a68837559f5fb54d8e186c","source":{"kind":"arxiv","id":"1611.07403","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.07403","created_at":"2026-05-18T00:34:31Z"},{"alias_kind":"arxiv_version","alias_value":"1611.07403v2","created_at":"2026-05-18T00:34:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07403","created_at":"2026-05-18T00:34:31Z"},{"alias_kind":"pith_short_12","alias_value":"ZI2PTEXSB6P4","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZI2PTEXSB6P4HL2A","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZI2PTEXS","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ZI2PTEXSB6P4HL2AOPCHSSJ2V4","target":"record","payload":{"canonical_record":{"source":{"id":"1611.07403","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-11-22T16:38:28Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"20b187ac3a533e19bed03fdd9be0d193304f303009b57c5d0ddac9d70fb29a33","abstract_canon_sha256":"a01c99b22970770e4dab99dd784c929bb6057b53c7cd84454069efdf8a841269"},"schema_version":"1.0"},"canonical_sha256":"ca34f992f20f9fc3af4073c479493aaf2e9bebfbd5a68837559f5fb54d8e186c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:31.411023Z","signature_b64":"l4lTacDMOebotAtAdP6sc2rPaLf/S094XoiaYejXcia7qX3Auy/BmO2vCQdUKa3goln0w1EUNlvZQX0+OyvQBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca34f992f20f9fc3af4073c479493aaf2e9bebfbd5a68837559f5fb54d8e186c","last_reissued_at":"2026-05-18T00:34:31.410607Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:31.410607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.07403","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":"2026-05-18T00:34:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ll13wVD6w0m8iSpvGVDsMuM3ak5HAjgT8xLDMvwLFQwVwWpMjy6AhGS0CkskPrSP2C7SOem0Fj3rc+VyzZdwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:29:42.537838Z"},"content_sha256":"3e0b666e0f949870fed3fa73c91c5fc3e5e75314ec13246d04695351397fec28","schema_version":"1.0","event_id":"sha256:3e0b666e0f949870fed3fa73c91c5fc3e5e75314ec13246d04695351397fec28"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ZI2PTEXSB6P4HL2AOPCHSSJ2V4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Low-Dimensional Stochastic Modeling of the Electrical Properties of Biological Tissues","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"cs.CE","authors_text":"Christian Schmidt, Sebastian Sch\\\"ops, Ulrich R\\\"omer, Ursula van Rienen","submitted_at":"2016-11-22T16:38:28Z","abstract_excerpt":"Uncertainty quantification plays an important role in biomedical engineering as measurement data is often unavailable and literature data shows a wide variability. Using state-of-the-art methods one encounters difficulties when the number of random inputs is large. This is the case, e.g., when using composite Cole-Cole equations to model random electrical properties. It is shown how the number of parameters can be significantly reduced by the Karhunen-Loeve expansion. The low-dimensional random model is used to quantify uncertainties in the axon activation during deep brain stimulation. Numeri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07403","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":"2026-05-18T00:34:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d0tkCwm/Tln6lsTjLgfr3bOT9WCLrzOM/+jEK3ADqn2hiVo1WTBBo6eXWqz1i/SRnTX/uSLNUH/fA+BQDSggAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:29:42.538396Z"},"content_sha256":"357742d8df16fe3cd517e2e82c25b9dffa4bbae84e0e3234d13742a57d8ca15f","schema_version":"1.0","event_id":"sha256:357742d8df16fe3cd517e2e82c25b9dffa4bbae84e0e3234d13742a57d8ca15f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZI2PTEXSB6P4HL2AOPCHSSJ2V4/bundle.json","state_url":"https://pith.science/pith/ZI2PTEXSB6P4HL2AOPCHSSJ2V4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZI2PTEXSB6P4HL2AOPCHSSJ2V4/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":"2026-06-04T06:29:42Z","links":{"resolver":"https://pith.science/pith/ZI2PTEXSB6P4HL2AOPCHSSJ2V4","bundle":"https://pith.science/pith/ZI2PTEXSB6P4HL2AOPCHSSJ2V4/bundle.json","state":"https://pith.science/pith/ZI2PTEXSB6P4HL2AOPCHSSJ2V4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZI2PTEXSB6P4HL2AOPCHSSJ2V4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZI2PTEXSB6P4HL2AOPCHSSJ2V4","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":"a01c99b22970770e4dab99dd784c929bb6057b53c7cd84454069efdf8a841269","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-11-22T16:38:28Z","title_canon_sha256":"20b187ac3a533e19bed03fdd9be0d193304f303009b57c5d0ddac9d70fb29a33"},"schema_version":"1.0","source":{"id":"1611.07403","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.07403","created_at":"2026-05-18T00:34:31Z"},{"alias_kind":"arxiv_version","alias_value":"1611.07403v2","created_at":"2026-05-18T00:34:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07403","created_at":"2026-05-18T00:34:31Z"},{"alias_kind":"pith_short_12","alias_value":"ZI2PTEXSB6P4","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZI2PTEXSB6P4HL2A","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZI2PTEXS","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:357742d8df16fe3cd517e2e82c25b9dffa4bbae84e0e3234d13742a57d8ca15f","target":"graph","created_at":"2026-05-18T00:34:31Z","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":"Uncertainty quantification plays an important role in biomedical engineering as measurement data is often unavailable and literature data shows a wide variability. Using state-of-the-art methods one encounters difficulties when the number of random inputs is large. This is the case, e.g., when using composite Cole-Cole equations to model random electrical properties. It is shown how the number of parameters can be significantly reduced by the Karhunen-Loeve expansion. The low-dimensional random model is used to quantify uncertainties in the axon activation during deep brain stimulation. Numeri","authors_text":"Christian Schmidt, Sebastian Sch\\\"ops, Ulrich R\\\"omer, Ursula van Rienen","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-11-22T16:38:28Z","title":"Low-Dimensional Stochastic Modeling of the Electrical Properties of Biological Tissues"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07403","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":"sha256:3e0b666e0f949870fed3fa73c91c5fc3e5e75314ec13246d04695351397fec28","target":"record","created_at":"2026-05-18T00:34:31Z","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":"a01c99b22970770e4dab99dd784c929bb6057b53c7cd84454069efdf8a841269","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-11-22T16:38:28Z","title_canon_sha256":"20b187ac3a533e19bed03fdd9be0d193304f303009b57c5d0ddac9d70fb29a33"},"schema_version":"1.0","source":{"id":"1611.07403","kind":"arxiv","version":2}},"canonical_sha256":"ca34f992f20f9fc3af4073c479493aaf2e9bebfbd5a68837559f5fb54d8e186c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca34f992f20f9fc3af4073c479493aaf2e9bebfbd5a68837559f5fb54d8e186c","first_computed_at":"2026-05-18T00:34:31.410607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:31.410607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l4lTacDMOebotAtAdP6sc2rPaLf/S094XoiaYejXcia7qX3Auy/BmO2vCQdUKa3goln0w1EUNlvZQX0+OyvQBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:31.411023Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.07403","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e0b666e0f949870fed3fa73c91c5fc3e5e75314ec13246d04695351397fec28","sha256:357742d8df16fe3cd517e2e82c25b9dffa4bbae84e0e3234d13742a57d8ca15f"],"state_sha256":"fcba1ef3858ec13c483eba4f958eacdafd30a79b81fcd9e07a0dc9aa911ad045"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5WgcGZLJ8KuhFTcGB4C1wzrLYCWHtiLanO8vZKSOzD8i/XQKuhRwYyVvr2N6fr0ZmNndYWAw/nonxvuZriMoCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:29:42.541048Z","bundle_sha256":"df17883410cc999003832792a0698848bf83214d5b50eda5ec205b0cd7d291cb"}}