{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:MBQXPONA7AZXCF6O233EGJIQSR","short_pith_number":"pith:MBQXPONA","canonical_record":{"source":{"id":"1610.09079","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-10-28T04:29:38Z","cross_cats_sorted":[],"title_canon_sha256":"108648408f7ff1d94e5e51c12b8fdcd2928bfc15f2bd7350acc6e210a89adf88","abstract_canon_sha256":"d7345ad8c65faab2affab8b2d064ce0fabeb65e1285130119131c7cbfc61cfd7"},"schema_version":"1.0"},"canonical_sha256":"606177b9a0f8337117ced6f64325109459ec28b253eec9c16dc8ff90cc7d4acd","source":{"kind":"arxiv","id":"1610.09079","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09079","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09079v2","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09079","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"MBQXPONA7AZX","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MBQXPONA7AZXCF6O","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MBQXPONA","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:MBQXPONA7AZXCF6O233EGJIQSR","target":"record","payload":{"canonical_record":{"source":{"id":"1610.09079","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-10-28T04:29:38Z","cross_cats_sorted":[],"title_canon_sha256":"108648408f7ff1d94e5e51c12b8fdcd2928bfc15f2bd7350acc6e210a89adf88","abstract_canon_sha256":"d7345ad8c65faab2affab8b2d064ce0fabeb65e1285130119131c7cbfc61cfd7"},"schema_version":"1.0"},"canonical_sha256":"606177b9a0f8337117ced6f64325109459ec28b253eec9c16dc8ff90cc7d4acd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:18.186467Z","signature_b64":"R5Vdfto6yaphLgEO4es49jHWQhR0jJtT9qZn/adOP4bD+HD4VnHgt6cDOpYdHGQieqXCB8DFXyilM7wfUsUvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"606177b9a0f8337117ced6f64325109459ec28b253eec9c16dc8ff90cc7d4acd","last_reissued_at":"2026-05-18T00:39:18.185819Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:18.185819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.09079","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":"2026-05-18T00:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yeSgJBQ/RYPfVHMqXvdYRsffu8Y1LP1iXA2d6VeHOZDbQjVZFcpjSfpluJT0PAAMvd7jUjZPAlqE/vJGIH2NAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T21:54:35.923785Z"},"content_sha256":"a07f39b4f5b267f491526331fc5402687cec040f42b5d28fde5962e2338ae714","schema_version":"1.0","event_id":"sha256:a07f39b4f5b267f491526331fc5402687cec040f42b5d28fde5962e2338ae714"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:MBQXPONA7AZXCF6O233EGJIQSR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving systems. Part I: Periodic boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NA","authors_text":"Taras I. Lakoba, Zihao Deng","submitted_at":"2016-10-28T04:29:38Z","abstract_excerpt":"We study numerical (in)stability of the Method of characteristics (MoC) applied to a system of non-dissipative hyperbolic partial differential equations (PDEs) with periodic boundary conditions. We consider three different solvers along the characteristics: simple Euler (SE), modified Euler (ME), and Leap-frog (LF). The two former solvers are well known to exhibit a mild, but unconditional, numerical instability for non-dissipative ordinary differential equations (ODEs). They are found to have a similar (or stronger, for the MoC-ME) instability when applied to non-dissipative PDEs. On the othe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09079","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":"2026-05-18T00:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3mp2OMjQpepARAI5vcu3kz0WxRoiO2Im9ORAF9feLh3S9fSOQzfmYSAQ1KYu4n0Jy3FuBsPIbj/ItpUtAMtCAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T21:54:35.924128Z"},"content_sha256":"890b3b614e7f797381a3a9b76a55afd875d5c362f4277cb77ed907a4d5a5ab45","schema_version":"1.0","event_id":"sha256:890b3b614e7f797381a3a9b76a55afd875d5c362f4277cb77ed907a4d5a5ab45"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MBQXPONA7AZXCF6O233EGJIQSR/bundle.json","state_url":"https://pith.science/pith/MBQXPONA7AZXCF6O233EGJIQSR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MBQXPONA7AZXCF6O233EGJIQSR/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":"2026-06-22T21:54:35Z","links":{"resolver":"https://pith.science/pith/MBQXPONA7AZXCF6O233EGJIQSR","bundle":"https://pith.science/pith/MBQXPONA7AZXCF6O233EGJIQSR/bundle.json","state":"https://pith.science/pith/MBQXPONA7AZXCF6O233EGJIQSR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MBQXPONA7AZXCF6O233EGJIQSR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MBQXPONA7AZXCF6O233EGJIQSR","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":"d7345ad8c65faab2affab8b2d064ce0fabeb65e1285130119131c7cbfc61cfd7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-10-28T04:29:38Z","title_canon_sha256":"108648408f7ff1d94e5e51c12b8fdcd2928bfc15f2bd7350acc6e210a89adf88"},"schema_version":"1.0","source":{"id":"1610.09079","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09079","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09079v2","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09079","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"MBQXPONA7AZX","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MBQXPONA7AZXCF6O","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MBQXPONA","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:890b3b614e7f797381a3a9b76a55afd875d5c362f4277cb77ed907a4d5a5ab45","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 study numerical (in)stability of the Method of characteristics (MoC) applied to a system of non-dissipative hyperbolic partial differential equations (PDEs) with periodic boundary conditions. We consider three different solvers along the characteristics: simple Euler (SE), modified Euler (ME), and Leap-frog (LF). The two former solvers are well known to exhibit a mild, but unconditional, numerical instability for non-dissipative ordinary differential equations (ODEs). They are found to have a similar (or stronger, for the MoC-ME) instability when applied to non-dissipative PDEs. On the othe","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":"2016-10-28T04:29:38Z","title":"Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving systems. Part I: Periodic boundary conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09079","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:a07f39b4f5b267f491526331fc5402687cec040f42b5d28fde5962e2338ae714","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":"d7345ad8c65faab2affab8b2d064ce0fabeb65e1285130119131c7cbfc61cfd7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-10-28T04:29:38Z","title_canon_sha256":"108648408f7ff1d94e5e51c12b8fdcd2928bfc15f2bd7350acc6e210a89adf88"},"schema_version":"1.0","source":{"id":"1610.09079","kind":"arxiv","version":2}},"canonical_sha256":"606177b9a0f8337117ced6f64325109459ec28b253eec9c16dc8ff90cc7d4acd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"606177b9a0f8337117ced6f64325109459ec28b253eec9c16dc8ff90cc7d4acd","first_computed_at":"2026-05-18T00:39:18.185819Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:18.185819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R5Vdfto6yaphLgEO4es49jHWQhR0jJtT9qZn/adOP4bD+HD4VnHgt6cDOpYdHGQieqXCB8DFXyilM7wfUsUvCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:18.186467Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09079","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a07f39b4f5b267f491526331fc5402687cec040f42b5d28fde5962e2338ae714","sha256:890b3b614e7f797381a3a9b76a55afd875d5c362f4277cb77ed907a4d5a5ab45"],"state_sha256":"277b219520c5072dbe69a262efa2fbb92e2affa83b6f6bef9a2cda0def3877df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BuWGm72ktGG6PAnpxLowT/hsiEZl4n46DlNUqYwuv5n+XxlmW242Zxy+7MANA2ErEYmwSz21rtzDZLx07eNcBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T21:54:35.926111Z","bundle_sha256":"73c2d6d670a76edaaa5f3833900b22b2fd2786a180e092630f9aabaf53b146cf"}}