{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:2F2BTZVOGQZX5G4BSB3VYC2AYG","short_pith_number":"pith:2F2BTZVO","canonical_record":{"source":{"id":"1802.03663","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-10T23:04:31Z","cross_cats_sorted":[],"title_canon_sha256":"0003fa7f91fe44c4fa15a162153d14a6b848195060d06f3233f55cfd052b844b","abstract_canon_sha256":"da9701f33a221d2b1c9c892161404ff7bd818c2e6bc7923d6514ee730b442206"},"schema_version":"1.0"},"canonical_sha256":"d17419e6ae34337e9b8190775c0b40c1b7817bc7eb5090e242bf8a44bb0c75ee","source":{"kind":"arxiv","id":"1802.03663","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.03663","created_at":"2026-05-18T00:23:16Z"},{"alias_kind":"arxiv_version","alias_value":"1802.03663v2","created_at":"2026-05-18T00:23:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03663","created_at":"2026-05-18T00:23:16Z"},{"alias_kind":"pith_short_12","alias_value":"2F2BTZVOGQZX","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"2F2BTZVOGQZX5G4B","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"2F2BTZVO","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:2F2BTZVOGQZX5G4BSB3VYC2AYG","target":"record","payload":{"canonical_record":{"source":{"id":"1802.03663","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-10T23:04:31Z","cross_cats_sorted":[],"title_canon_sha256":"0003fa7f91fe44c4fa15a162153d14a6b848195060d06f3233f55cfd052b844b","abstract_canon_sha256":"da9701f33a221d2b1c9c892161404ff7bd818c2e6bc7923d6514ee730b442206"},"schema_version":"1.0"},"canonical_sha256":"d17419e6ae34337e9b8190775c0b40c1b7817bc7eb5090e242bf8a44bb0c75ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:16.167290Z","signature_b64":"+Vp+ebJyDsmjljyOo4METuIN5RzwvvRP18rJ3NZ5lDA6QRv/7uJW1+QiGuN5eIDZcke6VXgkcgGeWVkQqjgIAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d17419e6ae34337e9b8190775c0b40c1b7817bc7eb5090e242bf8a44bb0c75ee","last_reissued_at":"2026-05-18T00:23:16.166656Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:16.166656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.03663","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":"2026-05-18T00:23:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ABHpJANuXS61NGM3aIEPK/ZGAE98Y8l3SAS3Cv1ROJrTqdpnZmFQ8FkfWOGMNBd1lZR5mnKlIWCogRGlmMFdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:37:34.036856Z"},"content_sha256":"9ae65d8d7880462a49cc62a21829ccfdacf8b21a05d4d3fb784834db2cc35032","schema_version":"1.0","event_id":"sha256:9ae65d8d7880462a49cc62a21829ccfdacf8b21a05d4d3fb784834db2cc35032"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:2F2BTZVOGQZX5G4BSB3VYC2AYG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the microscopic bidomain problem with FitzHugh-Nagumo ionic transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gieri Simonett, Jan Pruess","submitted_at":"2018-02-10T23:04:31Z","abstract_excerpt":"The microscopic bidomain problem with FitzHhugh-Nagumo ionic transport is studied in the $L_p\\!-\\!L_q$-framework. Reformulating the problem as a semilinear evolution equation on the interface, local well-posedness is proved in strong as well as in weak settings. We obtain solvability for initial data in the critical spaces of the problem. For dimension $d\\leq 3$, by means of energy estimates and a recent result of Serrin type, global existence is shown. Finally, stability of spatially constant equilibria is investigated, to the result that the stability properties of such equilibria parallel t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03663","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":"2026-05-18T00:23:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"poke1olXyq6Uq3zDf/9JARVGiYTJb98nDMPnBG2bDb5haFBwapB9N2zufS/YKLrKWXA5QCGYe99+BBuRJmUkBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:37:34.037543Z"},"content_sha256":"d200f3ba6355f4be0e8dd4f43c01b6edd786993f39755224ebfcce891c47654f","schema_version":"1.0","event_id":"sha256:d200f3ba6355f4be0e8dd4f43c01b6edd786993f39755224ebfcce891c47654f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2F2BTZVOGQZX5G4BSB3VYC2AYG/bundle.json","state_url":"https://pith.science/pith/2F2BTZVOGQZX5G4BSB3VYC2AYG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2F2BTZVOGQZX5G4BSB3VYC2AYG/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":"2026-06-11T02:37:34Z","links":{"resolver":"https://pith.science/pith/2F2BTZVOGQZX5G4BSB3VYC2AYG","bundle":"https://pith.science/pith/2F2BTZVOGQZX5G4BSB3VYC2AYG/bundle.json","state":"https://pith.science/pith/2F2BTZVOGQZX5G4BSB3VYC2AYG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2F2BTZVOGQZX5G4BSB3VYC2AYG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2F2BTZVOGQZX5G4BSB3VYC2AYG","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":"da9701f33a221d2b1c9c892161404ff7bd818c2e6bc7923d6514ee730b442206","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-10T23:04:31Z","title_canon_sha256":"0003fa7f91fe44c4fa15a162153d14a6b848195060d06f3233f55cfd052b844b"},"schema_version":"1.0","source":{"id":"1802.03663","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.03663","created_at":"2026-05-18T00:23:16Z"},{"alias_kind":"arxiv_version","alias_value":"1802.03663v2","created_at":"2026-05-18T00:23:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03663","created_at":"2026-05-18T00:23:16Z"},{"alias_kind":"pith_short_12","alias_value":"2F2BTZVOGQZX","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"2F2BTZVOGQZX5G4B","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"2F2BTZVO","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:d200f3ba6355f4be0e8dd4f43c01b6edd786993f39755224ebfcce891c47654f","target":"graph","created_at":"2026-05-18T00:23:16Z","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":"The microscopic bidomain problem with FitzHhugh-Nagumo ionic transport is studied in the $L_p\\!-\\!L_q$-framework. Reformulating the problem as a semilinear evolution equation on the interface, local well-posedness is proved in strong as well as in weak settings. We obtain solvability for initial data in the critical spaces of the problem. For dimension $d\\leq 3$, by means of energy estimates and a recent result of Serrin type, global existence is shown. Finally, stability of spatially constant equilibria is investigated, to the result that the stability properties of such equilibria parallel t","authors_text":"Gieri Simonett, Jan Pruess","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-10T23:04:31Z","title":"On the microscopic bidomain problem with FitzHugh-Nagumo ionic transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03663","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":"sha256:9ae65d8d7880462a49cc62a21829ccfdacf8b21a05d4d3fb784834db2cc35032","target":"record","created_at":"2026-05-18T00:23:16Z","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":"da9701f33a221d2b1c9c892161404ff7bd818c2e6bc7923d6514ee730b442206","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-10T23:04:31Z","title_canon_sha256":"0003fa7f91fe44c4fa15a162153d14a6b848195060d06f3233f55cfd052b844b"},"schema_version":"1.0","source":{"id":"1802.03663","kind":"arxiv","version":2}},"canonical_sha256":"d17419e6ae34337e9b8190775c0b40c1b7817bc7eb5090e242bf8a44bb0c75ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d17419e6ae34337e9b8190775c0b40c1b7817bc7eb5090e242bf8a44bb0c75ee","first_computed_at":"2026-05-18T00:23:16.166656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:16.166656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+Vp+ebJyDsmjljyOo4METuIN5RzwvvRP18rJ3NZ5lDA6QRv/7uJW1+QiGuN5eIDZcke6VXgkcgGeWVkQqjgIAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:16.167290Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.03663","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ae65d8d7880462a49cc62a21829ccfdacf8b21a05d4d3fb784834db2cc35032","sha256:d200f3ba6355f4be0e8dd4f43c01b6edd786993f39755224ebfcce891c47654f"],"state_sha256":"d12cb521139033b1d44b2c9218c79b4daae899bd43d6182cf55950c6d11f8490"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aWlGJZiGByqADi7esixoQDIba0h9PtwHUAdGF5xMFKMVrr1b3ZFiZoqrcz0+LkCSKWeMAdMOE+Wb1JOuW4ifAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T02:37:34.041187Z","bundle_sha256":"694002ce5b002a91b4f65d8d7dd2a8e5d829cdb86ca9ab1298312dacf76fef5f"}}