{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MBM4ILWAL77MDMPDOGM2QOZHSG","short_pith_number":"pith:MBM4ILWA","canonical_record":{"source":{"id":"1804.07040","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-19T08:56:15Z","cross_cats_sorted":[],"title_canon_sha256":"2274692646bce2add1bb6ae41ef0158aa1b5611e1c053c94fb184859ef220140","abstract_canon_sha256":"2e31693cd24198805a25792f82f906f18882cdb6dfde3a19b90fa691a0453731"},"schema_version":"1.0"},"canonical_sha256":"6059c42ec05ffec1b1e37199a83b2791b884a3c66a05d1ca1f9ac15b00bd7037","source":{"kind":"arxiv","id":"1804.07040","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.07040","created_at":"2026-05-18T00:18:03Z"},{"alias_kind":"arxiv_version","alias_value":"1804.07040v1","created_at":"2026-05-18T00:18:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07040","created_at":"2026-05-18T00:18:03Z"},{"alias_kind":"pith_short_12","alias_value":"MBM4ILWAL77M","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MBM4ILWAL77MDMPD","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MBM4ILWA","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MBM4ILWAL77MDMPDOGM2QOZHSG","target":"record","payload":{"canonical_record":{"source":{"id":"1804.07040","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-19T08:56:15Z","cross_cats_sorted":[],"title_canon_sha256":"2274692646bce2add1bb6ae41ef0158aa1b5611e1c053c94fb184859ef220140","abstract_canon_sha256":"2e31693cd24198805a25792f82f906f18882cdb6dfde3a19b90fa691a0453731"},"schema_version":"1.0"},"canonical_sha256":"6059c42ec05ffec1b1e37199a83b2791b884a3c66a05d1ca1f9ac15b00bd7037","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:03.586854Z","signature_b64":"JQTwa048M6hPQ3OGcFgSeuoMyYafwRrGEi3WZNSBHjfQ31bBgqN4cDZckna/kp6gYgC6dBWFXwhr0O4kHcnCBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6059c42ec05ffec1b1e37199a83b2791b884a3c66a05d1ca1f9ac15b00bd7037","last_reissued_at":"2026-05-18T00:18:03.586289Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:03.586289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.07040","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":"2026-05-18T00:18:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6CO/dWG+YJihjXzxp4ry/gmRt5qpO+1TTtFs7bw9qxiwxgNCENZSNeoB7bMIg7uAnbPLKBcj2nJHoD3FbdQFAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:59:11.784868Z"},"content_sha256":"eea26ee04f51a657d3d1ee0a0deccebbd942339c0d6612949886697973801af8","schema_version":"1.0","event_id":"sha256:eea26ee04f51a657d3d1ee0a0deccebbd942339c0d6612949886697973801af8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MBM4ILWAL77MDMPDOGM2QOZHSG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Stabilized Dual Mixed Hybrid Finite Element Method with Lagrange multipliers for Three-Dimensional Problems with Internal Interfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Aurelio Giancarlo Mauri, Giovanna Guidoboni, Riccardo Sacco","submitted_at":"2018-04-19T08:56:15Z","abstract_excerpt":"This work focuses on a class of elliptic boundary value problems with diffusive, advective and reactive terms, motivated by the study of three-dimensional heterogeneous physical systems composed of two or more media separated by a selective interface. We propose a novel approach for the numerical approximation of such heterogeneous systems combining, for the first time: (1) a dual mixed hybrid (DMH) finite element method (FEM) based on the lowest order Raviart-Thomas space (RT0); (2) a Three-Field (3F) formulation; and (3) a Streamline Upwind/Petrov-Galerkin (SUPG) stabilization method. Using "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07040","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":""},"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":"2026-05-18T00:18:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GvXkCXfu+5awqRioJWVhlRJnSORS8pSEwryB3F0MQiRURUnpD4FxkZ9xF0dq8lw8Bt7UGJ9bWLFbAUgaGUQaBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:59:11.785210Z"},"content_sha256":"f5b382f910db921d293b3f9e873dbdc39358bfca9e4ff2b3f178824ab39494f3","schema_version":"1.0","event_id":"sha256:f5b382f910db921d293b3f9e873dbdc39358bfca9e4ff2b3f178824ab39494f3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MBM4ILWAL77MDMPDOGM2QOZHSG/bundle.json","state_url":"https://pith.science/pith/MBM4ILWAL77MDMPDOGM2QOZHSG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MBM4ILWAL77MDMPDOGM2QOZHSG/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":"2026-06-01T22:59:11Z","links":{"resolver":"https://pith.science/pith/MBM4ILWAL77MDMPDOGM2QOZHSG","bundle":"https://pith.science/pith/MBM4ILWAL77MDMPDOGM2QOZHSG/bundle.json","state":"https://pith.science/pith/MBM4ILWAL77MDMPDOGM2QOZHSG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MBM4ILWAL77MDMPDOGM2QOZHSG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MBM4ILWAL77MDMPDOGM2QOZHSG","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":"2e31693cd24198805a25792f82f906f18882cdb6dfde3a19b90fa691a0453731","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-19T08:56:15Z","title_canon_sha256":"2274692646bce2add1bb6ae41ef0158aa1b5611e1c053c94fb184859ef220140"},"schema_version":"1.0","source":{"id":"1804.07040","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.07040","created_at":"2026-05-18T00:18:03Z"},{"alias_kind":"arxiv_version","alias_value":"1804.07040v1","created_at":"2026-05-18T00:18:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07040","created_at":"2026-05-18T00:18:03Z"},{"alias_kind":"pith_short_12","alias_value":"MBM4ILWAL77M","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MBM4ILWAL77MDMPD","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MBM4ILWA","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:f5b382f910db921d293b3f9e873dbdc39358bfca9e4ff2b3f178824ab39494f3","target":"graph","created_at":"2026-05-18T00:18:03Z","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":"This work focuses on a class of elliptic boundary value problems with diffusive, advective and reactive terms, motivated by the study of three-dimensional heterogeneous physical systems composed of two or more media separated by a selective interface. We propose a novel approach for the numerical approximation of such heterogeneous systems combining, for the first time: (1) a dual mixed hybrid (DMH) finite element method (FEM) based on the lowest order Raviart-Thomas space (RT0); (2) a Three-Field (3F) formulation; and (3) a Streamline Upwind/Petrov-Galerkin (SUPG) stabilization method. Using ","authors_text":"Aurelio Giancarlo Mauri, Giovanna Guidoboni, Riccardo Sacco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-19T08:56:15Z","title":"A Stabilized Dual Mixed Hybrid Finite Element Method with Lagrange multipliers for Three-Dimensional Problems with Internal Interfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07040","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:eea26ee04f51a657d3d1ee0a0deccebbd942339c0d6612949886697973801af8","target":"record","created_at":"2026-05-18T00:18:03Z","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":"2e31693cd24198805a25792f82f906f18882cdb6dfde3a19b90fa691a0453731","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-19T08:56:15Z","title_canon_sha256":"2274692646bce2add1bb6ae41ef0158aa1b5611e1c053c94fb184859ef220140"},"schema_version":"1.0","source":{"id":"1804.07040","kind":"arxiv","version":1}},"canonical_sha256":"6059c42ec05ffec1b1e37199a83b2791b884a3c66a05d1ca1f9ac15b00bd7037","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6059c42ec05ffec1b1e37199a83b2791b884a3c66a05d1ca1f9ac15b00bd7037","first_computed_at":"2026-05-18T00:18:03.586289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:03.586289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JQTwa048M6hPQ3OGcFgSeuoMyYafwRrGEi3WZNSBHjfQ31bBgqN4cDZckna/kp6gYgC6dBWFXwhr0O4kHcnCBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:03.586854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.07040","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eea26ee04f51a657d3d1ee0a0deccebbd942339c0d6612949886697973801af8","sha256:f5b382f910db921d293b3f9e873dbdc39358bfca9e4ff2b3f178824ab39494f3"],"state_sha256":"d515586b5c74c7d05e5ddb5c076ecc83b742c2af508f2a395cb25ec2f5590a06"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kJzj+ca0tMW31A25gaMyORszWJfQvUWGXbn7MiYB9uPhzpkY3Gz4euO7D4nxQKYd18kugRKDR8T/HKT4TfxRCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T22:59:11.787026Z","bundle_sha256":"260eb2f50e8d3281d913db369b20c06d81c9e7897ce0e6ef0f5578fbb8532db0"}}