{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:52WHZS76WMVKBBM7WGHRPNOOVN","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":"3db6586aa69659791bcef60fa653dd7f08ce49523e557dd23f37aa3f67bd9957","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-12-25T12:38:06Z","title_canon_sha256":"3c12720c549208a92a3531bc4ec4fca7fffa9b26815a6ad817e2357a21378222"},"schema_version":"1.0","source":{"id":"1212.6037","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6037","created_at":"2026-05-18T01:44:20Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6037v2","created_at":"2026-05-18T01:44:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6037","created_at":"2026-05-18T01:44:20Z"},{"alias_kind":"pith_short_12","alias_value":"52WHZS76WMVK","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"52WHZS76WMVKBBM7","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"52WHZS76","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:ee417ae09ff070fac79708345d215e89f88a0d912a1d49d831ae0b6971eaaa10","target":"graph","created_at":"2026-05-18T01:44:20Z","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":"A concise Matlab implementation of a stable parallelizable space-time Petrov-Galerkin discretization for parabolic evolution equations is given. Emphasis is on reusability of spatial finite element codes.","authors_text":"Roman Andreev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-12-25T12:38:06Z","title":"Space-time discretization of the heat equation. A concise Matlab implementation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6037","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":"sha256:031502777f695426a55fded66a676d0e27b857272ebcb57b629e46e2425b7d94","target":"record","created_at":"2026-05-18T01:44:20Z","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":"3db6586aa69659791bcef60fa653dd7f08ce49523e557dd23f37aa3f67bd9957","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-12-25T12:38:06Z","title_canon_sha256":"3c12720c549208a92a3531bc4ec4fca7fffa9b26815a6ad817e2357a21378222"},"schema_version":"1.0","source":{"id":"1212.6037","kind":"arxiv","version":2}},"canonical_sha256":"eeac7ccbfeb32aa0859fb18f17b5ceab72c7b1cc0ff4b79db078420600e854f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eeac7ccbfeb32aa0859fb18f17b5ceab72c7b1cc0ff4b79db078420600e854f2","first_computed_at":"2026-05-18T01:44:20.834265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:20.834265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nEFN7b7IVdqdadVyifXvsv8OwuIRDtgXGQpUGQ08PiXVBnxTZJt9nIpJdYCdFHGCsz2sd3CoxVWFWL3t/9u7AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:20.835055Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.6037","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:031502777f695426a55fded66a676d0e27b857272ebcb57b629e46e2425b7d94","sha256:ee417ae09ff070fac79708345d215e89f88a0d912a1d49d831ae0b6971eaaa10"],"state_sha256":"1d8ad80970aac57e9d2896543e188ad8ba003c088eca6efecd79a8ed5c4d57e2"}