{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:T77H24RIH7K5TKWDXBQAP5VEJF","short_pith_number":"pith:T77H24RI","canonical_record":{"source":{"id":"1610.09207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-28T13:32:32Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"f710a2a33533aaa0c16edf2501b9e66031c926b35719cc3b7264870c6e8d6c3b","abstract_canon_sha256":"d7a24b028ffd271f1cc1f24bf8418d1dfa5380ca3b9d5025f4b1ab6b1527a2af"},"schema_version":"1.0"},"canonical_sha256":"9ffe7d72283fd5d9aac3b86007f6a44956e84984f96eba1e47cb54eac6e602c5","source":{"kind":"arxiv","id":"1610.09207","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09207","created_at":"2026-06-04T18:10:09Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09207v2","created_at":"2026-06-04T18:10:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09207","created_at":"2026-06-04T18:10:09Z"},{"alias_kind":"pith_short_12","alias_value":"T77H24RIH7K5","created_at":"2026-06-04T18:10:09Z"},{"alias_kind":"pith_short_16","alias_value":"T77H24RIH7K5TKWD","created_at":"2026-06-04T18:10:09Z"},{"alias_kind":"pith_short_8","alias_value":"T77H24RI","created_at":"2026-06-04T18:10:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:T77H24RIH7K5TKWDXBQAP5VEJF","target":"record","payload":{"canonical_record":{"source":{"id":"1610.09207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-28T13:32:32Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"f710a2a33533aaa0c16edf2501b9e66031c926b35719cc3b7264870c6e8d6c3b","abstract_canon_sha256":"d7a24b028ffd271f1cc1f24bf8418d1dfa5380ca3b9d5025f4b1ab6b1527a2af"},"schema_version":"1.0"},"canonical_sha256":"9ffe7d72283fd5d9aac3b86007f6a44956e84984f96eba1e47cb54eac6e602c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T18:10:09.320658Z","signature_b64":"Rq54eCnrWezMmx66LXZt2646JULk1Ce1bT4ER1NGqSH66jzEMp1zy7cKkoF9oHfjt/Xyd/pWGO2ThzuXKwtXBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ffe7d72283fd5d9aac3b86007f6a44956e84984f96eba1e47cb54eac6e602c5","last_reissued_at":"2026-06-04T18:10:09.320237Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T18:10:09.320237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.09207","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-04T18:10:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QURHISfYm4AsmsCkp1FJakrq0PBttKKGJ0P9MXbQ//tBHm3r0v88Z6NdPPgM/q00CW3EuDc29rqioyRIewy+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:20:03.316718Z"},"content_sha256":"11dfb8fb891c3cdaae12b35017b23ada5cb572ccb212e9103504e479b9e3a55e","schema_version":"1.0","event_id":"sha256:11dfb8fb891c3cdaae12b35017b23ada5cb572ccb212e9103504e479b9e3a55e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:T77H24RIH7K5TKWDXBQAP5VEJF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Fr\\'ed\\'eric Nataf, Gabriel R. Barrenechea, Micha{\\l} Bosy, Pierre-Henri Tournier, Victorita Dolean","submitted_at":"2016-10-28T13:32:32Z","abstract_excerpt":"Solving the Stokes equation by an optimal domain decomposition method derived algebraically involves the use of non standard interface conditions whose discretisation is not trivial. For this reason the use of approximation methods such as hybrid discontinuous Galerkin appears as an appropriate strategy: on the one hand they provide the best compromise in terms of the number of degrees of freedom in between standard continuous and discontinuous Galerkin methods, and on the other hand the degrees of freedom used in the non standard interface conditions are naturally defined at the boundary betw"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09207","kind":"arxiv","version":2},"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/1610.09207/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":"2026-06-04T18:10:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XluhkDo58CqkiyhY9dpulCT09ntQWTGPUS1IS53WE5ofth1rMlMJaVTg62xToBbwJCNCcIf4kHpEa1n+cb2BAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:20:03.317417Z"},"content_sha256":"96651b076b23fa6706efe8e65ec6b479b23c066e6dde54fc783b709212c48703","schema_version":"1.0","event_id":"sha256:96651b076b23fa6706efe8e65ec6b479b23c066e6dde54fc783b709212c48703"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T77H24RIH7K5TKWDXBQAP5VEJF/bundle.json","state_url":"https://pith.science/pith/T77H24RIH7K5TKWDXBQAP5VEJF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T77H24RIH7K5TKWDXBQAP5VEJF/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":"2026-06-06T15:20:03Z","links":{"resolver":"https://pith.science/pith/T77H24RIH7K5TKWDXBQAP5VEJF","bundle":"https://pith.science/pith/T77H24RIH7K5TKWDXBQAP5VEJF/bundle.json","state":"https://pith.science/pith/T77H24RIH7K5TKWDXBQAP5VEJF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T77H24RIH7K5TKWDXBQAP5VEJF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:T77H24RIH7K5TKWDXBQAP5VEJF","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":"d7a24b028ffd271f1cc1f24bf8418d1dfa5380ca3b9d5025f4b1ab6b1527a2af","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-28T13:32:32Z","title_canon_sha256":"f710a2a33533aaa0c16edf2501b9e66031c926b35719cc3b7264870c6e8d6c3b"},"schema_version":"1.0","source":{"id":"1610.09207","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09207","created_at":"2026-06-04T18:10:09Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09207v2","created_at":"2026-06-04T18:10:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09207","created_at":"2026-06-04T18:10:09Z"},{"alias_kind":"pith_short_12","alias_value":"T77H24RIH7K5","created_at":"2026-06-04T18:10:09Z"},{"alias_kind":"pith_short_16","alias_value":"T77H24RIH7K5TKWD","created_at":"2026-06-04T18:10:09Z"},{"alias_kind":"pith_short_8","alias_value":"T77H24RI","created_at":"2026-06-04T18:10:09Z"}],"graph_snapshots":[{"event_id":"sha256:96651b076b23fa6706efe8e65ec6b479b23c066e6dde54fc783b709212c48703","target":"graph","created_at":"2026-06-04T18:10:09Z","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/1610.09207/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Solving the Stokes equation by an optimal domain decomposition method derived algebraically involves the use of non standard interface conditions whose discretisation is not trivial. For this reason the use of approximation methods such as hybrid discontinuous Galerkin appears as an appropriate strategy: on the one hand they provide the best compromise in terms of the number of degrees of freedom in between standard continuous and discontinuous Galerkin methods, and on the other hand the degrees of freedom used in the non standard interface conditions are naturally defined at the boundary betw","authors_text":"Fr\\'ed\\'eric Nataf, Gabriel R. Barrenechea, Micha{\\l} Bosy, Pierre-Henri Tournier, Victorita Dolean","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-28T13:32:32Z","title":"Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09207","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":"sha256:11dfb8fb891c3cdaae12b35017b23ada5cb572ccb212e9103504e479b9e3a55e","target":"record","created_at":"2026-06-04T18:10:09Z","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":"d7a24b028ffd271f1cc1f24bf8418d1dfa5380ca3b9d5025f4b1ab6b1527a2af","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-28T13:32:32Z","title_canon_sha256":"f710a2a33533aaa0c16edf2501b9e66031c926b35719cc3b7264870c6e8d6c3b"},"schema_version":"1.0","source":{"id":"1610.09207","kind":"arxiv","version":2}},"canonical_sha256":"9ffe7d72283fd5d9aac3b86007f6a44956e84984f96eba1e47cb54eac6e602c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ffe7d72283fd5d9aac3b86007f6a44956e84984f96eba1e47cb54eac6e602c5","first_computed_at":"2026-06-04T18:10:09.320237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T18:10:09.320237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rq54eCnrWezMmx66LXZt2646JULk1Ce1bT4ER1NGqSH66jzEMp1zy7cKkoF9oHfjt/Xyd/pWGO2ThzuXKwtXBA==","signature_status":"signed_v1","signed_at":"2026-06-04T18:10:09.320658Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09207","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:11dfb8fb891c3cdaae12b35017b23ada5cb572ccb212e9103504e479b9e3a55e","sha256:96651b076b23fa6706efe8e65ec6b479b23c066e6dde54fc783b709212c48703"],"state_sha256":"861ceb399991910e27310d0c637936847288e41b081389f85294171b63831663"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8tpgpEMHmzP8yRoMfVxDZLFmS9UsznHVj+K7DCVzTLGpapdBtOnp5/jCPGGQmiapaBWBN9o2sCbHRGeSZxqAAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T15:20:03.320353Z","bundle_sha256":"798f8fc51f9c2ac0735d6749d96492337b10601fc1d63c2356b5f016325f467c"}}