{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:AE6F2A54PBT4RY7XH5XTILE6O2","short_pith_number":"pith:AE6F2A54","canonical_record":{"source":{"id":"1607.06160","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-07-21T00:17:44Z","cross_cats_sorted":[],"title_canon_sha256":"e53695f627f9063f9c6ecedf1306805c653d9c9fb8f27de2a254c07e5233f4df","abstract_canon_sha256":"eec8dcb948c0af7428c8f2d10d03370096f0b95a387f937757861ec92020d877"},"schema_version":"1.0"},"canonical_sha256":"013c5d03bc7867c8e3f73f6f342c9e769a625397fd0b2896388476b4f45a8287","source":{"kind":"arxiv","id":"1607.06160","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06160","created_at":"2026-05-18T00:03:34Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06160v2","created_at":"2026-05-18T00:03:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06160","created_at":"2026-05-18T00:03:34Z"},{"alias_kind":"pith_short_12","alias_value":"AE6F2A54PBT4","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AE6F2A54PBT4RY7X","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AE6F2A54","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:AE6F2A54PBT4RY7XH5XTILE6O2","target":"record","payload":{"canonical_record":{"source":{"id":"1607.06160","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-07-21T00:17:44Z","cross_cats_sorted":[],"title_canon_sha256":"e53695f627f9063f9c6ecedf1306805c653d9c9fb8f27de2a254c07e5233f4df","abstract_canon_sha256":"eec8dcb948c0af7428c8f2d10d03370096f0b95a387f937757861ec92020d877"},"schema_version":"1.0"},"canonical_sha256":"013c5d03bc7867c8e3f73f6f342c9e769a625397fd0b2896388476b4f45a8287","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:34.562512Z","signature_b64":"n0hsgtPRVFwXC5jRAJ8RujIyR0N+5+wLfyWniBxLJIyuo2bP5WwMpfEr/tfVe2WOBFwb9DFWU0aIZYaJg9ilDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"013c5d03bc7867c8e3f73f6f342c9e769a625397fd0b2896388476b4f45a8287","last_reissued_at":"2026-05-18T00:03:34.562111Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:34.562111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.06160","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":"2026-05-18T00:03:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"da7rEZA4U5hQE+ZeZ/O8tD/JTVvgBW5MT6tjw8MqCDwmOPbOAWrWPWoThRXqgxLxd/jyiQje9vtPb4gVdXO5Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T21:00:54.887399Z"},"content_sha256":"78ccab2686f2d45297e935fa9279446a507f60f17be28490f135df77282f0acc","schema_version":"1.0","event_id":"sha256:78ccab2686f2d45297e935fa9279446a507f60f17be28490f135df77282f0acc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:AE6F2A54PBT4RY7XH5XTILE6O2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the arbitrarily long-term stability of conservative methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Andy T. S. Wan, Jean-Christophe Nave","submitted_at":"2016-07-21T00:17:44Z","abstract_excerpt":"We show the arbitrarily long-term stability of conservative methods for autonomous ODEs. Given a system of autonomous ODEs with conserved quantities, if the preimage of the conserved quantities possesses a bounded locally nite neighborhood, then the global error of any conservative method with the uniformly bounded displacement property is bounded for all time, when the uniform time step is taken suciently small. On nite precision machines, the global error still remains bounded and independent of time until some arbitrarily large time determined by machine precision and tolerance. The main re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06160","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":"2026-05-18T00:03:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fjSEDDdWm+9IHO3Wqqpb1tlWI33o4ifwnkK3U8CljsNJDq2L+VhfJT0Tv6lF5mSX02giQbzuYmALZ5c9hiQlBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T21:00:54.887747Z"},"content_sha256":"fdd6f230d51d02f36e138b1e41e2e9faab9266c20518cefd7025a4e30b750c0e","schema_version":"1.0","event_id":"sha256:fdd6f230d51d02f36e138b1e41e2e9faab9266c20518cefd7025a4e30b750c0e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AE6F2A54PBT4RY7XH5XTILE6O2/bundle.json","state_url":"https://pith.science/pith/AE6F2A54PBT4RY7XH5XTILE6O2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AE6F2A54PBT4RY7XH5XTILE6O2/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":"2026-06-23T21:00:54Z","links":{"resolver":"https://pith.science/pith/AE6F2A54PBT4RY7XH5XTILE6O2","bundle":"https://pith.science/pith/AE6F2A54PBT4RY7XH5XTILE6O2/bundle.json","state":"https://pith.science/pith/AE6F2A54PBT4RY7XH5XTILE6O2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AE6F2A54PBT4RY7XH5XTILE6O2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AE6F2A54PBT4RY7XH5XTILE6O2","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":"eec8dcb948c0af7428c8f2d10d03370096f0b95a387f937757861ec92020d877","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-07-21T00:17:44Z","title_canon_sha256":"e53695f627f9063f9c6ecedf1306805c653d9c9fb8f27de2a254c07e5233f4df"},"schema_version":"1.0","source":{"id":"1607.06160","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06160","created_at":"2026-05-18T00:03:34Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06160v2","created_at":"2026-05-18T00:03:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06160","created_at":"2026-05-18T00:03:34Z"},{"alias_kind":"pith_short_12","alias_value":"AE6F2A54PBT4","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AE6F2A54PBT4RY7X","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AE6F2A54","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:fdd6f230d51d02f36e138b1e41e2e9faab9266c20518cefd7025a4e30b750c0e","target":"graph","created_at":"2026-05-18T00:03:34Z","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 the arbitrarily long-term stability of conservative methods for autonomous ODEs. Given a system of autonomous ODEs with conserved quantities, if the preimage of the conserved quantities possesses a bounded locally nite neighborhood, then the global error of any conservative method with the uniformly bounded displacement property is bounded for all time, when the uniform time step is taken suciently small. On nite precision machines, the global error still remains bounded and independent of time until some arbitrarily large time determined by machine precision and tolerance. The main re","authors_text":"Andy T. S. Wan, Jean-Christophe Nave","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-07-21T00:17:44Z","title":"On the arbitrarily long-term stability of conservative methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06160","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":"sha256:78ccab2686f2d45297e935fa9279446a507f60f17be28490f135df77282f0acc","target":"record","created_at":"2026-05-18T00:03:34Z","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":"eec8dcb948c0af7428c8f2d10d03370096f0b95a387f937757861ec92020d877","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-07-21T00:17:44Z","title_canon_sha256":"e53695f627f9063f9c6ecedf1306805c653d9c9fb8f27de2a254c07e5233f4df"},"schema_version":"1.0","source":{"id":"1607.06160","kind":"arxiv","version":2}},"canonical_sha256":"013c5d03bc7867c8e3f73f6f342c9e769a625397fd0b2896388476b4f45a8287","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"013c5d03bc7867c8e3f73f6f342c9e769a625397fd0b2896388476b4f45a8287","first_computed_at":"2026-05-18T00:03:34.562111Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:34.562111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n0hsgtPRVFwXC5jRAJ8RujIyR0N+5+wLfyWniBxLJIyuo2bP5WwMpfEr/tfVe2WOBFwb9DFWU0aIZYaJg9ilDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:34.562512Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06160","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78ccab2686f2d45297e935fa9279446a507f60f17be28490f135df77282f0acc","sha256:fdd6f230d51d02f36e138b1e41e2e9faab9266c20518cefd7025a4e30b750c0e"],"state_sha256":"558dd909e3b2a077bf9f734f791f2e6086e6978a56abd69dbac1662b3b9c0b7a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w8d0k7sCEamc6qK9ke08zrzTjXEMcuY+RHiGZ8TKOfcVcZGFsLfJMf2Fu/gugDvwMOTkk+WBAeK8fw1bl336AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T21:00:54.889692Z","bundle_sha256":"abc39a7ec2304f434149eb1969938b7bab9444b212e5651c44563321a198dd8c"}}