{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:H47JYPC4LBO3HQ3SYW5WSA4CZU","short_pith_number":"pith:H47JYPC4","canonical_record":{"source":{"id":"1404.4580","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-17T16:57:12Z","cross_cats_sorted":[],"title_canon_sha256":"84de7d52185d7c93215fff6f271885acbb1a93df29e90d0500e7405395da47b2","abstract_canon_sha256":"e1efd72fdc35bd9836d739486e5ffbdef1658202bd5f56086217210b7407c042"},"schema_version":"1.0"},"canonical_sha256":"3f3e9c3c5c585db3c372c5bb690382cd1ac1f66b763219fe11f6f417ebbb6e8a","source":{"kind":"arxiv","id":"1404.4580","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4580","created_at":"2026-05-18T02:54:03Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4580v1","created_at":"2026-05-18T02:54:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4580","created_at":"2026-05-18T02:54:03Z"},{"alias_kind":"pith_short_12","alias_value":"H47JYPC4LBO3","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"H47JYPC4LBO3HQ3S","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"H47JYPC4","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:H47JYPC4LBO3HQ3SYW5WSA4CZU","target":"record","payload":{"canonical_record":{"source":{"id":"1404.4580","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-17T16:57:12Z","cross_cats_sorted":[],"title_canon_sha256":"84de7d52185d7c93215fff6f271885acbb1a93df29e90d0500e7405395da47b2","abstract_canon_sha256":"e1efd72fdc35bd9836d739486e5ffbdef1658202bd5f56086217210b7407c042"},"schema_version":"1.0"},"canonical_sha256":"3f3e9c3c5c585db3c372c5bb690382cd1ac1f66b763219fe11f6f417ebbb6e8a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:03.943056Z","signature_b64":"Es5z+HWvLCKMkZvOVfX2gfonY1zOIjQLp87JAHHVL9FeVtH8nE18tKo8DgikXJckJ5UppOJ6ZIVq23swaGChAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f3e9c3c5c585db3c372c5bb690382cd1ac1f66b763219fe11f6f417ebbb6e8a","last_reissued_at":"2026-05-18T02:54:03.942542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:03.942542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.4580","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":"2026-05-18T02:54:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZMT7p5GK39BS42uugxr6sUvVIO86NkAwtWQZtfhZ2xsBDruabLwi5plVkOvor7r+ak05quJ3o630RcvXDnNHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:59:15.012198Z"},"content_sha256":"43c766adc7a375319640e5fc7e7e5ca5add216eec93c96e386b6418aa0098376","schema_version":"1.0","event_id":"sha256:43c766adc7a375319640e5fc7e7e5ca5add216eec93c96e386b6418aa0098376"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:H47JYPC4LBO3HQ3SYW5WSA4CZU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"EXPODE -- Advanced Exponential Time Integration Toolbox for MATLAB","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Georg Jansing","submitted_at":"2014-04-17T16:57:12Z","abstract_excerpt":"We present a MATLAB toolbox for five different classes of exponential integrators for solving (mildly) stiff ordinary differential equations or time-dependent partial differential equations. For the efficiency of such exponential integrators it is essential to approximate the products of the matrix functions arising in these integrators with vectors in a stable, reliable and efficient way. The toolbox contains options for computing the matrix functions directly by diagonalization or by Pade approximation. For large scale problems, Krylov subspace methods are implemented as well.\n  The main mot"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4580","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":"2026-05-18T02:54:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sRmfqVG+pvtWCCnX23+ACkYPyTsps3SCTG6jvQd6iuiUIbCqy71Assd/Ph5J67Zb5Eh5zU/0AJfVhC0HkLEYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:59:15.012945Z"},"content_sha256":"96ed26a48d0b858c57fbd10775aa800323d03e6ce0ab028503256a11c0ef28a3","schema_version":"1.0","event_id":"sha256:96ed26a48d0b858c57fbd10775aa800323d03e6ce0ab028503256a11c0ef28a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H47JYPC4LBO3HQ3SYW5WSA4CZU/bundle.json","state_url":"https://pith.science/pith/H47JYPC4LBO3HQ3SYW5WSA4CZU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H47JYPC4LBO3HQ3SYW5WSA4CZU/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":"2026-06-06T16:59:15Z","links":{"resolver":"https://pith.science/pith/H47JYPC4LBO3HQ3SYW5WSA4CZU","bundle":"https://pith.science/pith/H47JYPC4LBO3HQ3SYW5WSA4CZU/bundle.json","state":"https://pith.science/pith/H47JYPC4LBO3HQ3SYW5WSA4CZU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H47JYPC4LBO3HQ3SYW5WSA4CZU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:H47JYPC4LBO3HQ3SYW5WSA4CZU","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":"e1efd72fdc35bd9836d739486e5ffbdef1658202bd5f56086217210b7407c042","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-17T16:57:12Z","title_canon_sha256":"84de7d52185d7c93215fff6f271885acbb1a93df29e90d0500e7405395da47b2"},"schema_version":"1.0","source":{"id":"1404.4580","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4580","created_at":"2026-05-18T02:54:03Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4580v1","created_at":"2026-05-18T02:54:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4580","created_at":"2026-05-18T02:54:03Z"},{"alias_kind":"pith_short_12","alias_value":"H47JYPC4LBO3","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"H47JYPC4LBO3HQ3S","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"H47JYPC4","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:96ed26a48d0b858c57fbd10775aa800323d03e6ce0ab028503256a11c0ef28a3","target":"graph","created_at":"2026-05-18T02:54:03Z","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":"We present a MATLAB toolbox for five different classes of exponential integrators for solving (mildly) stiff ordinary differential equations or time-dependent partial differential equations. For the efficiency of such exponential integrators it is essential to approximate the products of the matrix functions arising in these integrators with vectors in a stable, reliable and efficient way. The toolbox contains options for computing the matrix functions directly by diagonalization or by Pade approximation. For large scale problems, Krylov subspace methods are implemented as well.\n  The main mot","authors_text":"Georg Jansing","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-17T16:57:12Z","title":"EXPODE -- Advanced Exponential Time Integration Toolbox for MATLAB"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4580","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":"sha256:43c766adc7a375319640e5fc7e7e5ca5add216eec93c96e386b6418aa0098376","target":"record","created_at":"2026-05-18T02:54:03Z","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":"e1efd72fdc35bd9836d739486e5ffbdef1658202bd5f56086217210b7407c042","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-17T16:57:12Z","title_canon_sha256":"84de7d52185d7c93215fff6f271885acbb1a93df29e90d0500e7405395da47b2"},"schema_version":"1.0","source":{"id":"1404.4580","kind":"arxiv","version":1}},"canonical_sha256":"3f3e9c3c5c585db3c372c5bb690382cd1ac1f66b763219fe11f6f417ebbb6e8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f3e9c3c5c585db3c372c5bb690382cd1ac1f66b763219fe11f6f417ebbb6e8a","first_computed_at":"2026-05-18T02:54:03.942542Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:03.942542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Es5z+HWvLCKMkZvOVfX2gfonY1zOIjQLp87JAHHVL9FeVtH8nE18tKo8DgikXJckJ5UppOJ6ZIVq23swaGChAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:03.943056Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.4580","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43c766adc7a375319640e5fc7e7e5ca5add216eec93c96e386b6418aa0098376","sha256:96ed26a48d0b858c57fbd10775aa800323d03e6ce0ab028503256a11c0ef28a3"],"state_sha256":"b37a476214f5f0bb82a4dac77a16780c80cf11ff5a8bcd7ef7f3f560261bd70d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qJ5dYrmQEh1JjzUthWsEIZ/OcoCV9lKxXqNtz4/Q7BltrdbifniKG1pMul1/hg4JfBVvjga99Oj0ZGrFMiy+Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T16:59:15.016596Z","bundle_sha256":"423e50eaae5734ed00d902407e95dc0993df15f10f03794740a6e2fe01491199"}}