{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:TNT3ZLH7V5Q6WRM63M5ATGYMWV","short_pith_number":"pith:TNT3ZLH7","canonical_record":{"source":{"id":"2506.04157","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-06-04T16:56:06Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"47b9554f37fb793b56e68025c0f9603bec11150bf8f58b722184d88e44fed0bb","abstract_canon_sha256":"465f8e03c0823d3258ba91290fb1dfa68aefa8bf85fdb835fea72b6873317a17"},"schema_version":"1.0"},"canonical_sha256":"9b67bcacffaf61eb459edb3a099b0cb555f044609e3962e7cd5772ede740a6b2","source":{"kind":"arxiv","id":"2506.04157","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.04157","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"arxiv_version","alias_value":"2506.04157v1","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.04157","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"pith_short_12","alias_value":"TNT3ZLH7V5Q6","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"pith_short_16","alias_value":"TNT3ZLH7V5Q6WRM6","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"pith_short_8","alias_value":"TNT3ZLH7","created_at":"2026-07-05T11:15:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:TNT3ZLH7V5Q6WRM63M5ATGYMWV","target":"record","payload":{"canonical_record":{"source":{"id":"2506.04157","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-06-04T16:56:06Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"47b9554f37fb793b56e68025c0f9603bec11150bf8f58b722184d88e44fed0bb","abstract_canon_sha256":"465f8e03c0823d3258ba91290fb1dfa68aefa8bf85fdb835fea72b6873317a17"},"schema_version":"1.0"},"canonical_sha256":"9b67bcacffaf61eb459edb3a099b0cb555f044609e3962e7cd5772ede740a6b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:15:58.138960Z","signature_b64":"17zWv91Fgb2Wq+Uj9sdT/gypyI81iEdOEJESVwMeWiT7HV0UiuPico2RNdBjQ6b9DTlbBVi6Pntmmc3Dlr53Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b67bcacffaf61eb459edb3a099b0cb555f044609e3962e7cd5772ede740a6b2","last_reissued_at":"2026-07-05T11:15:58.138439Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:15:58.138439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.04157","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":"2026-07-05T11:15:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uvCeIRlpj3cpQX1lJcr4fBf/mysVKUvjFC11YBupr6rHOoTT+Fwb8GApYOFx0ge/gjIif9jGooRzAeCLyhnGBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T03:02:20.596351Z"},"content_sha256":"af95a64c3ba58e369b5bd57b3e325fd334e77516dfd19cb0154a17c1ab9867e6","schema_version":"1.0","event_id":"sha256:af95a64c3ba58e369b5bd57b3e325fd334e77516dfd19cb0154a17c1ab9867e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:TNT3ZLH7V5Q6WRM63M5ATGYMWV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Andreas Burkhart, Barbara Wohlmuth, Jan Zawallich, Nils Kohl","submitted_at":"2025-06-04T16:56:06Z","abstract_excerpt":"We consider a compressible Stokes problem in the quasi-stationary case coupled with a time dependent advection-diffusion equation with special emphasis on high viscosity contrast geophysical mantle convection applications. In space, we use a P2-P1 Taylor--Hood element which is generated by a blending approach to account for the non-planar domain boundary without compromising the stencil data structure of uniformly refined elements. In time, we apply an operator splitting approach for the temperature equation combining the BDF2 method for diffusion and a particle method for advection, resulting"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.04157","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.04157/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:15:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GiTslnDH6a/ReDPrk0MyyuPoh7vA97HYUA9DrDF6H4MUYJ7TQEzpNSsTB44F4k8t9H4hRqJeFKvRFwipSHa0Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T03:02:20.596866Z"},"content_sha256":"bb3ff82e49a35a683ac2c65512f1d092ddab3ccda408c24b1ec1dbc01bd28b52","schema_version":"1.0","event_id":"sha256:bb3ff82e49a35a683ac2c65512f1d092ddab3ccda408c24b1ec1dbc01bd28b52"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TNT3ZLH7V5Q6WRM63M5ATGYMWV/bundle.json","state_url":"https://pith.science/pith/TNT3ZLH7V5Q6WRM63M5ATGYMWV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TNT3ZLH7V5Q6WRM63M5ATGYMWV/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":"2026-08-09T03:02:20Z","links":{"resolver":"https://pith.science/pith/TNT3ZLH7V5Q6WRM63M5ATGYMWV","bundle":"https://pith.science/pith/TNT3ZLH7V5Q6WRM63M5ATGYMWV/bundle.json","state":"https://pith.science/pith/TNT3ZLH7V5Q6WRM63M5ATGYMWV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TNT3ZLH7V5Q6WRM63M5ATGYMWV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TNT3ZLH7V5Q6WRM63M5ATGYMWV","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":"465f8e03c0823d3258ba91290fb1dfa68aefa8bf85fdb835fea72b6873317a17","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-06-04T16:56:06Z","title_canon_sha256":"47b9554f37fb793b56e68025c0f9603bec11150bf8f58b722184d88e44fed0bb"},"schema_version":"1.0","source":{"id":"2506.04157","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.04157","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"arxiv_version","alias_value":"2506.04157v1","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.04157","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"pith_short_12","alias_value":"TNT3ZLH7V5Q6","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"pith_short_16","alias_value":"TNT3ZLH7V5Q6WRM6","created_at":"2026-07-05T11:15:58Z"},{"alias_kind":"pith_short_8","alias_value":"TNT3ZLH7","created_at":"2026-07-05T11:15:58Z"}],"graph_snapshots":[{"event_id":"sha256:bb3ff82e49a35a683ac2c65512f1d092ddab3ccda408c24b1ec1dbc01bd28b52","target":"graph","created_at":"2026-07-05T11:15:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.04157/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a compressible Stokes problem in the quasi-stationary case coupled with a time dependent advection-diffusion equation with special emphasis on high viscosity contrast geophysical mantle convection applications. In space, we use a P2-P1 Taylor--Hood element which is generated by a blending approach to account for the non-planar domain boundary without compromising the stencil data structure of uniformly refined elements. In time, we apply an operator splitting approach for the temperature equation combining the BDF2 method for diffusion and a particle method for advection, resulting","authors_text":"Andreas Burkhart, Barbara Wohlmuth, Jan Zawallich, Nils Kohl","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.04157","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:af95a64c3ba58e369b5bd57b3e325fd334e77516dfd19cb0154a17c1ab9867e6","target":"record","created_at":"2026-07-05T11:15:58Z","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":"465f8e03c0823d3258ba91290fb1dfa68aefa8bf85fdb835fea72b6873317a17","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-06-04T16:56:06Z","title_canon_sha256":"47b9554f37fb793b56e68025c0f9603bec11150bf8f58b722184d88e44fed0bb"},"schema_version":"1.0","source":{"id":"2506.04157","kind":"arxiv","version":1}},"canonical_sha256":"9b67bcacffaf61eb459edb3a099b0cb555f044609e3962e7cd5772ede740a6b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b67bcacffaf61eb459edb3a099b0cb555f044609e3962e7cd5772ede740a6b2","first_computed_at":"2026-07-05T11:15:58.138439Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:15:58.138439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"17zWv91Fgb2Wq+Uj9sdT/gypyI81iEdOEJESVwMeWiT7HV0UiuPico2RNdBjQ6b9DTlbBVi6Pntmmc3Dlr53Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:15:58.138960Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.04157","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af95a64c3ba58e369b5bd57b3e325fd334e77516dfd19cb0154a17c1ab9867e6","sha256:bb3ff82e49a35a683ac2c65512f1d092ddab3ccda408c24b1ec1dbc01bd28b52"],"state_sha256":"c26be3345b3939cf34c3c02b47ac7ea12f522f59ac1026c5c2701d4f8cc83ee8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1kQ+XWGtuRCq2Tyg7Q0CSI+7HBjxJ0qK0Cyaawm5n6/R95FLtJfXuMlqQAslLc14ekl9xqAutLczQslf4ckkBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T03:02:20.600628Z","bundle_sha256":"133b146d1129ccc0aa74d9bd0fb0cafa4cdebe4acc020b57ced62b301c732fd1"}}