{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:MVBI6GBQLFW6EMWXZKY7VWUNFG","short_pith_number":"pith:MVBI6GBQ","canonical_record":{"source":{"id":"1605.05941","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-19T13:27:12Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"29574695e940256884dfc3f06377d585ec7849cfd6eedcde8146f408269aab1b","abstract_canon_sha256":"d489452c4f76d0f6ad2582a40cddf1ad822597d627b6187e47c49bebf229d780"},"schema_version":"1.0"},"canonical_sha256":"65428f1830596de232d7cab1fada8d29a2b5e1d58aa5849401033d27881303b7","source":{"kind":"arxiv","id":"1605.05941","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05941","created_at":"2026-05-18T01:14:27Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05941v1","created_at":"2026-05-18T01:14:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05941","created_at":"2026-05-18T01:14:27Z"},{"alias_kind":"pith_short_12","alias_value":"MVBI6GBQLFW6","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MVBI6GBQLFW6EMWX","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MVBI6GBQ","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:MVBI6GBQLFW6EMWXZKY7VWUNFG","target":"record","payload":{"canonical_record":{"source":{"id":"1605.05941","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-19T13:27:12Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"29574695e940256884dfc3f06377d585ec7849cfd6eedcde8146f408269aab1b","abstract_canon_sha256":"d489452c4f76d0f6ad2582a40cddf1ad822597d627b6187e47c49bebf229d780"},"schema_version":"1.0"},"canonical_sha256":"65428f1830596de232d7cab1fada8d29a2b5e1d58aa5849401033d27881303b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:27.927778Z","signature_b64":"vR/TNkiypwF91HO2+YCS65XLN4yEWj9c5++iN/yeNtagrpBdzUAFlyOUVQZs2UnixWMLr0I4FEiD8yCvqWpcAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65428f1830596de232d7cab1fada8d29a2b5e1d58aa5849401033d27881303b7","last_reissued_at":"2026-05-18T01:14:27.927141Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:27.927141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.05941","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":"2026-05-18T01:14:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eIj9rZ85DnVugEE4dJHqCyG9uZGJPScLsON+kC1UfiCQ+M0zhTr4AyVM7n20Boxh+JT+1SOLJhdbj4O0AAq+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T11:13:45.669030Z"},"content_sha256":"d300fe4d4e4c8c5aa351e5f0f876ccf5e3a555770cf38e54480a4f194c15e692","schema_version":"1.0","event_id":"sha256:d300fe4d4e4c8c5aa351e5f0f876ccf5e3a555770cf38e54480a4f194c15e692"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:MVBI6GBQLFW6EMWXZKY7VWUNFG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Space-time domain decomposition for advection-diffusion problems in mixed formulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.NA","authors_text":"Caroline Japhet (LAGA), Jean E. Roberts (SERENA), Michel Kern (SERENA), Thi-Thao-Phuong Hoang","submitted_at":"2016-05-19T13:27:12Z","abstract_excerpt":"This paper is concerned with the numerical solution of porous-media flow and transport problems , i. e. heterogeneous, advection-diffusion problems. Its aim is to investigate numerical schemes for these problems in which different time steps can be used in different parts of the domain. Global-in-time, non-overlapping domain-decomposition methods are coupled with operator splitting making possible the different treatment of the advection and diffusion terms. Two domain-decomposition methods are considered: one uses the time-dependent Steklov--Poincar{\\'e} operator and the other uses optimized "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05941","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":"2026-05-18T01:14:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F0INCWmUIZBEdubAM7P3CR512F2Lgej6ci4JxJLUgU8K0miJKwdIEFk1fVlV4e7hykc9htsyUkGGuzsVyVAEDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T11:13:45.669575Z"},"content_sha256":"5ebcf4602973594446df21747d2e2183d2af355dda9651be7d22cd475e9741b2","schema_version":"1.0","event_id":"sha256:5ebcf4602973594446df21747d2e2183d2af355dda9651be7d22cd475e9741b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MVBI6GBQLFW6EMWXZKY7VWUNFG/bundle.json","state_url":"https://pith.science/pith/MVBI6GBQLFW6EMWXZKY7VWUNFG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MVBI6GBQLFW6EMWXZKY7VWUNFG/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":"2026-06-10T11:13:45Z","links":{"resolver":"https://pith.science/pith/MVBI6GBQLFW6EMWXZKY7VWUNFG","bundle":"https://pith.science/pith/MVBI6GBQLFW6EMWXZKY7VWUNFG/bundle.json","state":"https://pith.science/pith/MVBI6GBQLFW6EMWXZKY7VWUNFG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MVBI6GBQLFW6EMWXZKY7VWUNFG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MVBI6GBQLFW6EMWXZKY7VWUNFG","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":"d489452c4f76d0f6ad2582a40cddf1ad822597d627b6187e47c49bebf229d780","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-19T13:27:12Z","title_canon_sha256":"29574695e940256884dfc3f06377d585ec7849cfd6eedcde8146f408269aab1b"},"schema_version":"1.0","source":{"id":"1605.05941","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05941","created_at":"2026-05-18T01:14:27Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05941v1","created_at":"2026-05-18T01:14:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05941","created_at":"2026-05-18T01:14:27Z"},{"alias_kind":"pith_short_12","alias_value":"MVBI6GBQLFW6","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MVBI6GBQLFW6EMWX","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MVBI6GBQ","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:5ebcf4602973594446df21747d2e2183d2af355dda9651be7d22cd475e9741b2","target":"graph","created_at":"2026-05-18T01:14:27Z","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 paper is concerned with the numerical solution of porous-media flow and transport problems , i. e. heterogeneous, advection-diffusion problems. Its aim is to investigate numerical schemes for these problems in which different time steps can be used in different parts of the domain. Global-in-time, non-overlapping domain-decomposition methods are coupled with operator splitting making possible the different treatment of the advection and diffusion terms. Two domain-decomposition methods are considered: one uses the time-dependent Steklov--Poincar{\\'e} operator and the other uses optimized ","authors_text":"Caroline Japhet (LAGA), Jean E. Roberts (SERENA), Michel Kern (SERENA), Thi-Thao-Phuong Hoang","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-19T13:27:12Z","title":"Space-time domain decomposition for advection-diffusion problems in mixed formulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05941","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:d300fe4d4e4c8c5aa351e5f0f876ccf5e3a555770cf38e54480a4f194c15e692","target":"record","created_at":"2026-05-18T01:14:27Z","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":"d489452c4f76d0f6ad2582a40cddf1ad822597d627b6187e47c49bebf229d780","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-19T13:27:12Z","title_canon_sha256":"29574695e940256884dfc3f06377d585ec7849cfd6eedcde8146f408269aab1b"},"schema_version":"1.0","source":{"id":"1605.05941","kind":"arxiv","version":1}},"canonical_sha256":"65428f1830596de232d7cab1fada8d29a2b5e1d58aa5849401033d27881303b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65428f1830596de232d7cab1fada8d29a2b5e1d58aa5849401033d27881303b7","first_computed_at":"2026-05-18T01:14:27.927141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:27.927141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vR/TNkiypwF91HO2+YCS65XLN4yEWj9c5++iN/yeNtagrpBdzUAFlyOUVQZs2UnixWMLr0I4FEiD8yCvqWpcAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:27.927778Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.05941","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d300fe4d4e4c8c5aa351e5f0f876ccf5e3a555770cf38e54480a4f194c15e692","sha256:5ebcf4602973594446df21747d2e2183d2af355dda9651be7d22cd475e9741b2"],"state_sha256":"aabcec7ce948a86ae6d39331840e80a0e2d90afb53fd563c0b4829945e6ca91a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3xE0ItaxdaRu5LqWrV17fd48Vkf95bbcU/9BJ5/kNSc0X2AESZjLEVdl1C/SZ9gDRk6anEZuTiFd4mfmvjRNBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T11:13:45.672928Z","bundle_sha256":"061e4b4b71660815120480b47eb69408ade2215456baafda5fbab2a3c332d6c7"}}