{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:4F7YGYKMXJKHAXJ6GJ3FFDC36E","short_pith_number":"pith:4F7YGYKM","canonical_record":{"source":{"id":"1702.02605","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-08T20:27:06Z","cross_cats_sorted":[],"title_canon_sha256":"a90b7c607dbdc3f2631e251be8b5ff674c20ab1a53945d6170421aadcf2dd404","abstract_canon_sha256":"6eaf4195062c9582bec2ac89be481ca4f6b7759fbb8c058178a99b4881a02be5"},"schema_version":"1.0"},"canonical_sha256":"e17f83614cba54705d3e3276528c5bf12256452e1fcb6b8619e30decef5abb17","source":{"kind":"arxiv","id":"1702.02605","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02605","created_at":"2026-05-18T00:51:03Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02605v1","created_at":"2026-05-18T00:51:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02605","created_at":"2026-05-18T00:51:03Z"},{"alias_kind":"pith_short_12","alias_value":"4F7YGYKMXJKH","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4F7YGYKMXJKHAXJ6","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4F7YGYKM","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:4F7YGYKMXJKHAXJ6GJ3FFDC36E","target":"record","payload":{"canonical_record":{"source":{"id":"1702.02605","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-08T20:27:06Z","cross_cats_sorted":[],"title_canon_sha256":"a90b7c607dbdc3f2631e251be8b5ff674c20ab1a53945d6170421aadcf2dd404","abstract_canon_sha256":"6eaf4195062c9582bec2ac89be481ca4f6b7759fbb8c058178a99b4881a02be5"},"schema_version":"1.0"},"canonical_sha256":"e17f83614cba54705d3e3276528c5bf12256452e1fcb6b8619e30decef5abb17","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:03.887874Z","signature_b64":"eg4F2s9+KI84UbJ5kvV1y+7aL7tKwAIruw3i/62WhOmJgjvHLhANP/rqb9ASvQnh6c+RwrhY9GgVbQs74hUyAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e17f83614cba54705d3e3276528c5bf12256452e1fcb6b8619e30decef5abb17","last_reissued_at":"2026-05-18T00:51:03.887513Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:03.887513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.02605","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nwXUdsf53NinHyMiwA4cH7EZgWRhVPk21AnkFrsAf3luimeFJJ1MuwSiPLX4USd7SXMDJzDUsuJiQh/EGGCzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T02:33:30.721392Z"},"content_sha256":"90b6cd1a49ed3f41c6a319d73174b8dc88e25ea6f41614e30b131732aa2c8702","schema_version":"1.0","event_id":"sha256:90b6cd1a49ed3f41c6a319d73174b8dc88e25ea6f41614e30b131732aa2c8702"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:4F7YGYKMXJKHAXJ6GJ3FFDC36E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alexander Jaust, David C. Seal, Jochen Sch\\\"utz","submitted_at":"2017-02-08T20:27:06Z","abstract_excerpt":"In this work, we construct novel discretizations for the unsteady convection-diffusion equation. Our discretization relies on multiderivative time integrators together with a novel discretization that reduces the total number of unknowns for the solver. These type of temporal discretizations come from an umbrella class of methods that include Lax-Wendroff (Taylor) as well as Runge-Kutta methods as special cases. We include two-point collocation methods with multiple time derivatives as well as a sixth-order fully implicit collocation method that only requires a total of three stages. Numerical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02605","kind":"arxiv","version":1},"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":"2026-05-18T00:51:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WoTFK1MSQrMcGbo5msFm9rt9qnsoPJ455x0GTOAB/DVsCo7LaObQta3nN+xFmaki+b1KB5sRIEHGtaQ8SZnGCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T02:33:30.721741Z"},"content_sha256":"92b00fd7c5ca18e1d4673d86f2f121a5ecc5578bf74c6374374ba40cd3baa697","schema_version":"1.0","event_id":"sha256:92b00fd7c5ca18e1d4673d86f2f121a5ecc5578bf74c6374374ba40cd3baa697"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4F7YGYKMXJKHAXJ6GJ3FFDC36E/bundle.json","state_url":"https://pith.science/pith/4F7YGYKMXJKHAXJ6GJ3FFDC36E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4F7YGYKMXJKHAXJ6GJ3FFDC36E/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":"2026-06-21T02:33:30Z","links":{"resolver":"https://pith.science/pith/4F7YGYKMXJKHAXJ6GJ3FFDC36E","bundle":"https://pith.science/pith/4F7YGYKMXJKHAXJ6GJ3FFDC36E/bundle.json","state":"https://pith.science/pith/4F7YGYKMXJKHAXJ6GJ3FFDC36E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4F7YGYKMXJKHAXJ6GJ3FFDC36E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4F7YGYKMXJKHAXJ6GJ3FFDC36E","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":"6eaf4195062c9582bec2ac89be481ca4f6b7759fbb8c058178a99b4881a02be5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-08T20:27:06Z","title_canon_sha256":"a90b7c607dbdc3f2631e251be8b5ff674c20ab1a53945d6170421aadcf2dd404"},"schema_version":"1.0","source":{"id":"1702.02605","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02605","created_at":"2026-05-18T00:51:03Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02605v1","created_at":"2026-05-18T00:51:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02605","created_at":"2026-05-18T00:51:03Z"},{"alias_kind":"pith_short_12","alias_value":"4F7YGYKMXJKH","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4F7YGYKMXJKHAXJ6","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4F7YGYKM","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:92b00fd7c5ca18e1d4673d86f2f121a5ecc5578bf74c6374374ba40cd3baa697","target":"graph","created_at":"2026-05-18T00:51:03Z","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":"In this work, we construct novel discretizations for the unsteady convection-diffusion equation. Our discretization relies on multiderivative time integrators together with a novel discretization that reduces the total number of unknowns for the solver. These type of temporal discretizations come from an umbrella class of methods that include Lax-Wendroff (Taylor) as well as Runge-Kutta methods as special cases. We include two-point collocation methods with multiple time derivatives as well as a sixth-order fully implicit collocation method that only requires a total of three stages. Numerical","authors_text":"Alexander Jaust, David C. Seal, Jochen Sch\\\"utz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-08T20:27:06Z","title":"Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02605","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":"sha256:90b6cd1a49ed3f41c6a319d73174b8dc88e25ea6f41614e30b131732aa2c8702","target":"record","created_at":"2026-05-18T00:51:03Z","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":"6eaf4195062c9582bec2ac89be481ca4f6b7759fbb8c058178a99b4881a02be5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-08T20:27:06Z","title_canon_sha256":"a90b7c607dbdc3f2631e251be8b5ff674c20ab1a53945d6170421aadcf2dd404"},"schema_version":"1.0","source":{"id":"1702.02605","kind":"arxiv","version":1}},"canonical_sha256":"e17f83614cba54705d3e3276528c5bf12256452e1fcb6b8619e30decef5abb17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e17f83614cba54705d3e3276528c5bf12256452e1fcb6b8619e30decef5abb17","first_computed_at":"2026-05-18T00:51:03.887513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:03.887513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eg4F2s9+KI84UbJ5kvV1y+7aL7tKwAIruw3i/62WhOmJgjvHLhANP/rqb9ASvQnh6c+RwrhY9GgVbQs74hUyAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:03.887874Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.02605","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90b6cd1a49ed3f41c6a319d73174b8dc88e25ea6f41614e30b131732aa2c8702","sha256:92b00fd7c5ca18e1d4673d86f2f121a5ecc5578bf74c6374374ba40cd3baa697"],"state_sha256":"03d81af04472d4b8892619fde10368ed60f10e8691d3a7f87aee0c8b548b27be"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gqs2Wt2ASrHT+E9J0JbGTIeIUZuR2afxNWdDQwL49kjAD7xXDb8ebAz9zIhWrwVRbd7gUBrmXfJ1OCfJKcqsDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T02:33:30.723827Z","bundle_sha256":"2ff34c3622ec66505f850d002ddbda771837d9591fe283f1c4b6408becbb2247"}}