{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NCA4CJCNZRACJ3DMXAAXFI7IWO","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":"2c8985936e7f3912a5999bbfec51aa52307589147f6e496e383414b3ea565e7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-10-28T04:47:59Z","title_canon_sha256":"229848dc71e5d17dd3cc7863774fa4e73cdc19888239f07674ebb9bfcb054408"},"schema_version":"1.0","source":{"id":"1610.09080","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09080","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09080v2","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09080","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"NCA4CJCNZRAC","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NCA4CJCNZRACJ3DM","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NCA4CJCN","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:53d023f9235a2a20467da53eeb083fd0cdf03caf082ee107b7907483a00562ee","target":"graph","created_at":"2026-05-18T00:39:18Z","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":"We show that imposition of non-periodic, in place of periodic, boundary conditions (BC) can alter stability of modes in the Method of characteristics (MoC) employing certain ordinary-differential equation (ODE) numerical solvers. Thus, using non-periodic BC may render some of the MoC schemes stable for most practical computations, even though they are unstable for periodic BC. This fact contradicts a statement, found in some literature, that an instability detected by the von Neumann analysis for a given numerical scheme implies an instability of that scheme with arbitrary (i.e., non-periodic)","authors_text":"Taras I. Lakoba, Zihao Deng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-10-28T04:47:59Z","title":"Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving systems. Part II: Nonreflecting boundary conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09080","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":"sha256:29b43b44dd7c067ad9cc5097652e8c82df340938c44e228c1e8b2332ef2df1f1","target":"record","created_at":"2026-05-18T00:39:18Z","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":"2c8985936e7f3912a5999bbfec51aa52307589147f6e496e383414b3ea565e7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-10-28T04:47:59Z","title_canon_sha256":"229848dc71e5d17dd3cc7863774fa4e73cdc19888239f07674ebb9bfcb054408"},"schema_version":"1.0","source":{"id":"1610.09080","kind":"arxiv","version":2}},"canonical_sha256":"6881c1244dcc4024ec6cb80172a3e8b3a1d90fd40480fedbfe4bbfa29369a652","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6881c1244dcc4024ec6cb80172a3e8b3a1d90fd40480fedbfe4bbfa29369a652","first_computed_at":"2026-05-18T00:39:18.176994Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:18.176994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ROzFmjYF2vibbFjFxtup0Iqu96NW7QvDQ7W6McHeaVryRwabzJ7qohXFG2g2Nbtw+1YGgKyQWMJRDrRvihPnDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:18.177679Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09080","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29b43b44dd7c067ad9cc5097652e8c82df340938c44e228c1e8b2332ef2df1f1","sha256:53d023f9235a2a20467da53eeb083fd0cdf03caf082ee107b7907483a00562ee"],"state_sha256":"1288d3a80d2eeaed6c5803b88e5b023713a39fd4ae2c5b09305f5ec65c465976"}