{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:F5D66SLYDRFAXVMSMI2XUQFFGY","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":"256db45044d795e1733c568b01c3fac64fce9ef3cd54a8cac8bc114d10f03d66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-06-26T17:29:08Z","title_canon_sha256":"468f083dd1e5789e5dabd6d7609f796de0375ab11a85ad853637b161caa857b7"},"schema_version":"1.0","source":{"id":"1706.08490","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08490","created_at":"2026-05-18T00:33:16Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08490v2","created_at":"2026-05-18T00:33:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08490","created_at":"2026-05-18T00:33:16Z"},{"alias_kind":"pith_short_12","alias_value":"F5D66SLYDRFA","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"F5D66SLYDRFAXVMS","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"F5D66SLY","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:c4c01558e716b31e2ff2bef65be185ac1fdaa270772e14c1dc7c3fc0f8d1a790","target":"graph","created_at":"2026-05-18T00:33:16Z","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 standard models of cardiac electrophysiology, including the bidomain and monodomain models, local perturbations can propagate at infinite speed. We address this unrealistic property by developing a hyperbolic bidomain model that is based on a generalization of Ohm's law with a Cattaneo-type model for the fluxes. Further, we obtain a hyperbolic monodomain model in the case that the intracellular and extracellular conductivity tensors have the same anisotropy ratio. In one spatial dimension, the hyperbolic monodomain model is equivalent to a cable model that includes axial inductances, and th","authors_text":"Boyce E. Griffith, Simone Rossi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-06-26T17:29:08Z","title":"Incorporating Inductances in Tissue-Scale Models of Cardiac Electrophysiology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08490","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":"sha256:24d2fd0a6e41022f6d82c1a21270bcddfc1600128ed4b8cc67072fa000e561aa","target":"record","created_at":"2026-05-18T00:33:16Z","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":"256db45044d795e1733c568b01c3fac64fce9ef3cd54a8cac8bc114d10f03d66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-06-26T17:29:08Z","title_canon_sha256":"468f083dd1e5789e5dabd6d7609f796de0375ab11a85ad853637b161caa857b7"},"schema_version":"1.0","source":{"id":"1706.08490","kind":"arxiv","version":2}},"canonical_sha256":"2f47ef49781c4a0bd59262357a40a53628d3196e4aa527c08ce5d9b11e4f3bdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f47ef49781c4a0bd59262357a40a53628d3196e4aa527c08ce5d9b11e4f3bdb","first_computed_at":"2026-05-18T00:33:16.998860Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:16.998860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ki26ZBNqMhclFzBGOTAm6luJqY9b3Ila7JapHfEj7w/mfo2NOL46xmyA45PjzXF6tGV6k4rgEEPcgUt1YCf7Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:16.999407Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.08490","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24d2fd0a6e41022f6d82c1a21270bcddfc1600128ed4b8cc67072fa000e561aa","sha256:c4c01558e716b31e2ff2bef65be185ac1fdaa270772e14c1dc7c3fc0f8d1a790"],"state_sha256":"02e5df383948581343bd75af263262eff62049c1b2346d2abcbe33dc24a5d15f"}