{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:PAHXDSSCAQEHYJLLGEA4RLHWSW","short_pith_number":"pith:PAHXDSSC","canonical_record":{"source":{"id":"1712.02625","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-07T14:13:37Z","cross_cats_sorted":[],"title_canon_sha256":"c9c3209181fb76191bc272257b731a9214f67e7e0144ee07bf3c5a3320cfded3","abstract_canon_sha256":"68a0e10dbcf2522c15b81de3bc096fc0aaabb9804e04f8cb002b618bc84171f5"},"schema_version":"1.0"},"canonical_sha256":"780f71ca4204087c256b3101c8acf6959925bd2f9687bc0884c4dd1572482ac5","source":{"kind":"arxiv","id":"1712.02625","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02625","created_at":"2026-05-18T00:23:08Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02625v2","created_at":"2026-05-18T00:23:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02625","created_at":"2026-05-18T00:23:08Z"},{"alias_kind":"pith_short_12","alias_value":"PAHXDSSCAQEH","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PAHXDSSCAQEHYJLL","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PAHXDSSC","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:PAHXDSSCAQEHYJLLGEA4RLHWSW","target":"record","payload":{"canonical_record":{"source":{"id":"1712.02625","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-07T14:13:37Z","cross_cats_sorted":[],"title_canon_sha256":"c9c3209181fb76191bc272257b731a9214f67e7e0144ee07bf3c5a3320cfded3","abstract_canon_sha256":"68a0e10dbcf2522c15b81de3bc096fc0aaabb9804e04f8cb002b618bc84171f5"},"schema_version":"1.0"},"canonical_sha256":"780f71ca4204087c256b3101c8acf6959925bd2f9687bc0884c4dd1572482ac5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:08.056479Z","signature_b64":"e06oXbB9IPSATVDrzYPXfzTKOPq2cDXlaTYYeLXarfd+asCd+IQc9PIX662I0njlw3ZM0HHN4UyaU4W4G0AyCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"780f71ca4204087c256b3101c8acf6959925bd2f9687bc0884c4dd1572482ac5","last_reissued_at":"2026-05-18T00:23:08.055768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:08.055768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.02625","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":"2026-05-18T00:23:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J92SbtsnwreI0lJCSSUAeNZEY8+Vn/pV5kvXicbsQ0k18F2pQHi2iYCPl9OygWA6I0lhPKJvdeFS0b+dIiN7Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:23:13.772405Z"},"content_sha256":"e39a8c507126ed63019e4cf14a3b27f5330d9b7621e715e11edeb2644418e84a","schema_version":"1.0","event_id":"sha256:e39a8c507126ed63019e4cf14a3b27f5330d9b7621e715e11edeb2644418e84a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:PAHXDSSCAQEHYJLLGEA4RLHWSW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An advection-robust Hybrid High-Order method for the Oseen problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Daniele A. Di Pietro, Joubine Aghili","submitted_at":"2017-12-07T14:13:37Z","abstract_excerpt":"In this work, we study advection-robust Hybrid High-Order discretizations of the Oseen equations. For a given integer $k\\ge 0$, the discrete velocity unknowns are vector-valued polynomials of total degree $\\le k$ on mesh elements and faces, while the pressure unknowns are discontinuous polynomials of total degree $\\le k$ on the mesh. From the discrete unknowns, three relevant quantities are reconstructed inside each element: a velocity of total degree $\\le(k+1)$, a discrete advective derivative, and a discrete divergence. These reconstructions are used to formulate the discretizations of the v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02625","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":""},"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":"2026-05-18T00:23:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NpRut3VjCC30Kk4bXuv0Belfy//xYf+tDjCf3JG8AzBGepb7fFO6u+kSLbOg56NNqbsEC+llVoa5DlG8nBsbDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:23:13.773203Z"},"content_sha256":"967daaeb2c273236e49b7517ccdd12e25a346489374edc4e91ea3291c10d1c45","schema_version":"1.0","event_id":"sha256:967daaeb2c273236e49b7517ccdd12e25a346489374edc4e91ea3291c10d1c45"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PAHXDSSCAQEHYJLLGEA4RLHWSW/bundle.json","state_url":"https://pith.science/pith/PAHXDSSCAQEHYJLLGEA4RLHWSW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PAHXDSSCAQEHYJLLGEA4RLHWSW/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":"2026-05-30T22:23:13Z","links":{"resolver":"https://pith.science/pith/PAHXDSSCAQEHYJLLGEA4RLHWSW","bundle":"https://pith.science/pith/PAHXDSSCAQEHYJLLGEA4RLHWSW/bundle.json","state":"https://pith.science/pith/PAHXDSSCAQEHYJLLGEA4RLHWSW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PAHXDSSCAQEHYJLLGEA4RLHWSW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PAHXDSSCAQEHYJLLGEA4RLHWSW","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":"68a0e10dbcf2522c15b81de3bc096fc0aaabb9804e04f8cb002b618bc84171f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-07T14:13:37Z","title_canon_sha256":"c9c3209181fb76191bc272257b731a9214f67e7e0144ee07bf3c5a3320cfded3"},"schema_version":"1.0","source":{"id":"1712.02625","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02625","created_at":"2026-05-18T00:23:08Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02625v2","created_at":"2026-05-18T00:23:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02625","created_at":"2026-05-18T00:23:08Z"},{"alias_kind":"pith_short_12","alias_value":"PAHXDSSCAQEH","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PAHXDSSCAQEHYJLL","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PAHXDSSC","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:967daaeb2c273236e49b7517ccdd12e25a346489374edc4e91ea3291c10d1c45","target":"graph","created_at":"2026-05-18T00:23:08Z","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":"In this work, we study advection-robust Hybrid High-Order discretizations of the Oseen equations. For a given integer $k\\ge 0$, the discrete velocity unknowns are vector-valued polynomials of total degree $\\le k$ on mesh elements and faces, while the pressure unknowns are discontinuous polynomials of total degree $\\le k$ on the mesh. From the discrete unknowns, three relevant quantities are reconstructed inside each element: a velocity of total degree $\\le(k+1)$, a discrete advective derivative, and a discrete divergence. These reconstructions are used to formulate the discretizations of the v","authors_text":"Daniele A. Di Pietro, Joubine Aghili","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-07T14:13:37Z","title":"An advection-robust Hybrid High-Order method for the Oseen problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02625","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:e39a8c507126ed63019e4cf14a3b27f5330d9b7621e715e11edeb2644418e84a","target":"record","created_at":"2026-05-18T00:23:08Z","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":"68a0e10dbcf2522c15b81de3bc096fc0aaabb9804e04f8cb002b618bc84171f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-07T14:13:37Z","title_canon_sha256":"c9c3209181fb76191bc272257b731a9214f67e7e0144ee07bf3c5a3320cfded3"},"schema_version":"1.0","source":{"id":"1712.02625","kind":"arxiv","version":2}},"canonical_sha256":"780f71ca4204087c256b3101c8acf6959925bd2f9687bc0884c4dd1572482ac5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"780f71ca4204087c256b3101c8acf6959925bd2f9687bc0884c4dd1572482ac5","first_computed_at":"2026-05-18T00:23:08.055768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:08.055768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e06oXbB9IPSATVDrzYPXfzTKOPq2cDXlaTYYeLXarfd+asCd+IQc9PIX662I0njlw3ZM0HHN4UyaU4W4G0AyCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:08.056479Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.02625","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e39a8c507126ed63019e4cf14a3b27f5330d9b7621e715e11edeb2644418e84a","sha256:967daaeb2c273236e49b7517ccdd12e25a346489374edc4e91ea3291c10d1c45"],"state_sha256":"675a7cb98cc0ec704bf949306032f8f4421a5f25ba16962f9dce185de68e593a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"muspHhiAPqouEEN6GtZ3mNnN1DTf0bufolL1v2mOjkp5rl4GKtjRzviLQwp8RBVtxlGndTOXPVxQZJPx6l24BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T22:23:13.777123Z","bundle_sha256":"fd927d8c254495b62633dd4ca34bc1ffa97298a5ea517ff1bec286d29926a0ba"}}