{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:XZVEOG6YJBQO2MO6UC22PRL7KF","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":"39b1fe589becdefe3a1f251285b3652de688d00ae5fe443e42c72463551ab3d6","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2022-12-28T14:36:17Z","title_canon_sha256":"3697437f3423958d8fc06fa9ff8c8fc6deef37640e9d0e0ce9bb7f71e68ef01a"},"schema_version":"1.0","source":{"id":"2212.13833","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.13833","created_at":"2026-07-05T05:28:55Z"},{"alias_kind":"arxiv_version","alias_value":"2212.13833v1","created_at":"2026-07-05T05:28:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.13833","created_at":"2026-07-05T05:28:55Z"},{"alias_kind":"pith_short_12","alias_value":"XZVEOG6YJBQO","created_at":"2026-07-05T05:28:55Z"},{"alias_kind":"pith_short_16","alias_value":"XZVEOG6YJBQO2MO6","created_at":"2026-07-05T05:28:55Z"},{"alias_kind":"pith_short_8","alias_value":"XZVEOG6Y","created_at":"2026-07-05T05:28:55Z"}],"graph_snapshots":[{"event_id":"sha256:8ad80f2efeaf99e1bd537f6407d4f1b24e63db23f582b17b43191f340bf14d59","target":"graph","created_at":"2026-07-05T05:28:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2212.13833/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work is focused on the modelling of signal propagations in myelinated axons to characterize the functions of the myelin sheath in the neural structure. Based on reasonable assumptions on the medium properties, we derive a two-dimensional neural-signaling model in cylindrical coordinates from the time-harmonic Maxwell's equations. The well-posedness of model is established upon Dirichlet boundary conditions at the two ends of the neural structure and the radiative condition in the radial direction of the structure. Using the perfectly matched layer (PML) method, we truncate the unbounded b","authors_text":"Maohui Lyu, Tao Yin, Weiying Zheng, Xue Jiang","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2022-12-28T14:36:17Z","title":"A PML method for signal-propagation problems in axon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.13833","kind":"arxiv","version":1},"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":"sha256:5eb52f569d9838fc3b9196a811b17ef6c749951807e24100fb173db95edec6e0","target":"record","created_at":"2026-07-05T05:28:55Z","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":"39b1fe589becdefe3a1f251285b3652de688d00ae5fe443e42c72463551ab3d6","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2022-12-28T14:36:17Z","title_canon_sha256":"3697437f3423958d8fc06fa9ff8c8fc6deef37640e9d0e0ce9bb7f71e68ef01a"},"schema_version":"1.0","source":{"id":"2212.13833","kind":"arxiv","version":1}},"canonical_sha256":"be6a471bd84860ed31dea0b5a7c57f51520f271be7a3e6f8c6393109ac471762","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be6a471bd84860ed31dea0b5a7c57f51520f271be7a3e6f8c6393109ac471762","first_computed_at":"2026-07-05T05:28:55.518916Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:28:55.518916Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ev0TXaxRY6OOdQpv7fKDhdw3PKwTRm9PEecNLrap/aJt5mmlyn3lRjL6QsNBnGiDXJRAjPP+sLH3tmj7VI3YDw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:28:55.519325Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.13833","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5eb52f569d9838fc3b9196a811b17ef6c749951807e24100fb173db95edec6e0","sha256:8ad80f2efeaf99e1bd537f6407d4f1b24e63db23f582b17b43191f340bf14d59"],"state_sha256":"426770fa43e4e8e1fdb9a6d4b0c8be04473aecef77604910df543e6965883254"}