{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:COCVMKIWOKVDVVXGKV7BQ24JHC","short_pith_number":"pith:COCVMKIW","canonical_record":{"source":{"id":"1509.08576","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-29T03:07:25Z","cross_cats_sorted":[],"title_canon_sha256":"7ff3613100d1a52fd38042907c7a782c62ae162eac5781d95e36401b3ecbe346","abstract_canon_sha256":"b6ee22d66e8f4cbd7872113a2d12cea3389927fe29f7aa32c04eeb522ac6ef91"},"schema_version":"1.0"},"canonical_sha256":"138556291672aa3ad6e6557e186b893898cea4aff3f9d0366567ae3636a8e516","source":{"kind":"arxiv","id":"1509.08576","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08576","created_at":"2026-05-18T01:02:04Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08576v3","created_at":"2026-05-18T01:02:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08576","created_at":"2026-05-18T01:02:04Z"},{"alias_kind":"pith_short_12","alias_value":"COCVMKIWOKVD","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"COCVMKIWOKVDVVXG","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"COCVMKIW","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:COCVMKIWOKVDVVXGKV7BQ24JHC","target":"record","payload":{"canonical_record":{"source":{"id":"1509.08576","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-29T03:07:25Z","cross_cats_sorted":[],"title_canon_sha256":"7ff3613100d1a52fd38042907c7a782c62ae162eac5781d95e36401b3ecbe346","abstract_canon_sha256":"b6ee22d66e8f4cbd7872113a2d12cea3389927fe29f7aa32c04eeb522ac6ef91"},"schema_version":"1.0"},"canonical_sha256":"138556291672aa3ad6e6557e186b893898cea4aff3f9d0366567ae3636a8e516","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:04.876861Z","signature_b64":"24mzpSb0TX8Tvmo0/3Vq++YkBCpcCKvdlK1QnKbEXuMLv6S7e+wLRBfE2OeVqzsLYeulrQG8054SXnX0RBRBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"138556291672aa3ad6e6557e186b893898cea4aff3f9d0366567ae3636a8e516","last_reissued_at":"2026-05-18T01:02:04.876166Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:04.876166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.08576","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:02:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZSOkdxwyyWdFKHXV88POX9WJ0xO/naNCiLsxtZDWsGtTi5m6nq0PwE10yhQpwE1bSHF8OTDWXuSh9GM/FsrFDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:55:48.222926Z"},"content_sha256":"2de98e0a32bde3ee01ea4448607cfa8fd418490bc6aa08a2ad770dea7c31b0ab","schema_version":"1.0","event_id":"sha256:2de98e0a32bde3ee01ea4448607cfa8fd418490bc6aa08a2ad770dea7c31b0ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:COCVMKIWOKVDVVXGKV7BQ24JHC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Error Estimation for Multi-Stage Runge-Kutta IMEX Schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"J.B. Collins, Jehanzeb H. Chaudhry, John N. Shadid","submitted_at":"2015-09-29T03:07:25Z","abstract_excerpt":"Implicit-Explicit (IMEX) schemes are widely used for time integration methods for approximating solutions to a large class of problems. In this work, we develop accurate a posteriori error estimates of a quantity of interest for approximations obtained from multi-stage IMEX schemes. This is done by first defining a finite element method that is nodally equivalent to an IMEX scheme, then using typical methods for adjoint-based error estimation. The use of a nodally equivalent finite element method allows a decomposition of the error into multiple components, each describing the effect of a diff"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08576","kind":"arxiv","version":3},"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":"2026-05-18T01:02:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uMfeF/m7+0FohLFmgg4p/KPxL0p+irhFyRO+90CQURSoxNTmtGPCQL6H8VYytHXfgxghtpdSlKfih9zYAsyWBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:55:48.223760Z"},"content_sha256":"657464d88c78467d42b2f8234f1920fe3f4f889bcaf77b24336aa4a2e0790439","schema_version":"1.0","event_id":"sha256:657464d88c78467d42b2f8234f1920fe3f4f889bcaf77b24336aa4a2e0790439"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/COCVMKIWOKVDVVXGKV7BQ24JHC/bundle.json","state_url":"https://pith.science/pith/COCVMKIWOKVDVVXGKV7BQ24JHC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/COCVMKIWOKVDVVXGKV7BQ24JHC/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":"2026-05-31T10:55:48Z","links":{"resolver":"https://pith.science/pith/COCVMKIWOKVDVVXGKV7BQ24JHC","bundle":"https://pith.science/pith/COCVMKIWOKVDVVXGKV7BQ24JHC/bundle.json","state":"https://pith.science/pith/COCVMKIWOKVDVVXGKV7BQ24JHC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/COCVMKIWOKVDVVXGKV7BQ24JHC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:COCVMKIWOKVDVVXGKV7BQ24JHC","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":"b6ee22d66e8f4cbd7872113a2d12cea3389927fe29f7aa32c04eeb522ac6ef91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-29T03:07:25Z","title_canon_sha256":"7ff3613100d1a52fd38042907c7a782c62ae162eac5781d95e36401b3ecbe346"},"schema_version":"1.0","source":{"id":"1509.08576","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08576","created_at":"2026-05-18T01:02:04Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08576v3","created_at":"2026-05-18T01:02:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08576","created_at":"2026-05-18T01:02:04Z"},{"alias_kind":"pith_short_12","alias_value":"COCVMKIWOKVD","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"COCVMKIWOKVDVVXG","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"COCVMKIW","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:657464d88c78467d42b2f8234f1920fe3f4f889bcaf77b24336aa4a2e0790439","target":"graph","created_at":"2026-05-18T01:02:04Z","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":"Implicit-Explicit (IMEX) schemes are widely used for time integration methods for approximating solutions to a large class of problems. In this work, we develop accurate a posteriori error estimates of a quantity of interest for approximations obtained from multi-stage IMEX schemes. This is done by first defining a finite element method that is nodally equivalent to an IMEX scheme, then using typical methods for adjoint-based error estimation. The use of a nodally equivalent finite element method allows a decomposition of the error into multiple components, each describing the effect of a diff","authors_text":"J.B. Collins, Jehanzeb H. Chaudhry, John N. Shadid","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-29T03:07:25Z","title":"Error Estimation for Multi-Stage Runge-Kutta IMEX Schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08576","kind":"arxiv","version":3},"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":"sha256:2de98e0a32bde3ee01ea4448607cfa8fd418490bc6aa08a2ad770dea7c31b0ab","target":"record","created_at":"2026-05-18T01:02:04Z","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":"b6ee22d66e8f4cbd7872113a2d12cea3389927fe29f7aa32c04eeb522ac6ef91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-29T03:07:25Z","title_canon_sha256":"7ff3613100d1a52fd38042907c7a782c62ae162eac5781d95e36401b3ecbe346"},"schema_version":"1.0","source":{"id":"1509.08576","kind":"arxiv","version":3}},"canonical_sha256":"138556291672aa3ad6e6557e186b893898cea4aff3f9d0366567ae3636a8e516","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"138556291672aa3ad6e6557e186b893898cea4aff3f9d0366567ae3636a8e516","first_computed_at":"2026-05-18T01:02:04.876166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:04.876166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"24mzpSb0TX8Tvmo0/3Vq++YkBCpcCKvdlK1QnKbEXuMLv6S7e+wLRBfE2OeVqzsLYeulrQG8054SXnX0RBRBDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:04.876861Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.08576","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2de98e0a32bde3ee01ea4448607cfa8fd418490bc6aa08a2ad770dea7c31b0ab","sha256:657464d88c78467d42b2f8234f1920fe3f4f889bcaf77b24336aa4a2e0790439"],"state_sha256":"28a2b1b2e490f301080c4d112352a42f023386d6ea51fad9a3f652a124c39100"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6LbnDmavkewCMlte0qd0SGptd+nPTxHBjqZR3MbJRi2ouQMYJS1FZKzS4hwpIprWsNLzNF+7nYwK5/Ufq/x4AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T10:55:48.227924Z","bundle_sha256":"6672db86de2d08b2f6ccf376660ef2fa600af6a3850db8c39152b326dc1d8f25"}}