{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HFCYE5XU2VU3MWAA44WEEZS4DN","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":"e22e99770f761870d4c1e66f621ca213fe5a3b080f8f65ea4e77ec746c521019","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-03T15:09:06Z","title_canon_sha256":"81eec977c09cea07779c56c7aeb47a0b46570887e040ea799175f8650620dce9"},"schema_version":"1.0","source":{"id":"1411.0519","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0519","created_at":"2026-05-18T02:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0519v1","created_at":"2026-05-18T02:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0519","created_at":"2026-05-18T02:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"HFCYE5XU2VU3","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HFCYE5XU2VU3MWAA","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HFCYE5XU","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:28a7b978f571c31a21f98ccbfe04e3d0191c4f7a965b0c28a2978c2ff5ffcb78","target":"graph","created_at":"2026-05-18T02:38:45Z","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 and analyze a new space-time parallel multigrid method for parabolic equations. The method is based on arbitrarily high order discontinuous Galerkin discretizations in time, and a finite element discretization in space. The key ingredient of the new algorithm is a block Jacobi smoother. We present a detailed convergence analysis when the algorithm is applied to the heat equation, and determine asymptotically optimal smoothing parameters, a precise criterion for semi-coarsening in time or full coarsening, and give an asymptotic two grid contraction factor estimate. We then explain ho","authors_text":"Martin J. Gander, Martin Neum\\\"uller","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-03T15:09:06Z","title":"Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0519","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":"sha256:4c2557575ddf48cea068c43a61b9108837b051a923b2c1b22886ad3faa1a2565","target":"record","created_at":"2026-05-18T02:38:45Z","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":"e22e99770f761870d4c1e66f621ca213fe5a3b080f8f65ea4e77ec746c521019","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-11-03T15:09:06Z","title_canon_sha256":"81eec977c09cea07779c56c7aeb47a0b46570887e040ea799175f8650620dce9"},"schema_version":"1.0","source":{"id":"1411.0519","kind":"arxiv","version":1}},"canonical_sha256":"39458276f4d569b65800e72c42665c1b446568f676dbfb3a11a2514e1425006c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39458276f4d569b65800e72c42665c1b446568f676dbfb3a11a2514e1425006c","first_computed_at":"2026-05-18T02:38:45.261555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:45.261555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r54xBIk8NM+M+yYydQ8J2q0txIvL8BaUzdKlY1PuZg9NxVkrgXr2iRneZoYdvgsVQcJ3gXy44EhT50FsZVDLBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:45.262099Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.0519","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c2557575ddf48cea068c43a61b9108837b051a923b2c1b22886ad3faa1a2565","sha256:28a7b978f571c31a21f98ccbfe04e3d0191c4f7a965b0c28a2978c2ff5ffcb78"],"state_sha256":"0868f3129e48e7e7eaee08393f790d70e094e22022c0867b0706790c31041868"}