{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6RNAG22CDWBRE4OYE2N2LJGPGS","short_pith_number":"pith:6RNAG22C","canonical_record":{"source":{"id":"1509.00905","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-03T00:21:15Z","cross_cats_sorted":[],"title_canon_sha256":"5f4b7ca464728969d1aa490f06f02af66efaca58ed6899aa0f3f8b2b8fdf65b8","abstract_canon_sha256":"50fbce6ca8b71b0eaa7ef11e251b55873e3a9175278edd7dcc5d7a47e10398a5"},"schema_version":"1.0"},"canonical_sha256":"f45a036b421d831271d8269ba5a4cf34a8d381be7705d56e5f4511d1a682217b","source":{"kind":"arxiv","id":"1509.00905","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00905","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00905v1","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00905","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"pith_short_12","alias_value":"6RNAG22CDWBR","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6RNAG22CDWBRE4OY","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6RNAG22C","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6RNAG22CDWBRE4OYE2N2LJGPGS","target":"record","payload":{"canonical_record":{"source":{"id":"1509.00905","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-03T00:21:15Z","cross_cats_sorted":[],"title_canon_sha256":"5f4b7ca464728969d1aa490f06f02af66efaca58ed6899aa0f3f8b2b8fdf65b8","abstract_canon_sha256":"50fbce6ca8b71b0eaa7ef11e251b55873e3a9175278edd7dcc5d7a47e10398a5"},"schema_version":"1.0"},"canonical_sha256":"f45a036b421d831271d8269ba5a4cf34a8d381be7705d56e5f4511d1a682217b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:04.820288Z","signature_b64":"rhFsu8VlijSeihsehLkzpsoPFEyplRwPSC5XtYUG7GOiRQMbLCe7TYaBI7ELPsr36vw2WN1XSN9Fqtc6u+6jAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f45a036b421d831271d8269ba5a4cf34a8d381be7705d56e5f4511d1a682217b","last_reissued_at":"2026-05-18T01:34:04.819870Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:04.819870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.00905","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":"2026-05-18T01:34:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BNRBIOON/6xsBaJHgAFag08u3iFm8ZLnr8MxF9tXvgTZYILsa3IHzopWtQuBShGUKCFtuWK6Llu9P/bFWCsuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:01:14.730263Z"},"content_sha256":"249b8a37a2ff3abbf50aa1b62eff57f3cb6f13703553ac5f523c5cc9b4257949","schema_version":"1.0","event_id":"sha256:249b8a37a2ff3abbf50aa1b62eff57f3cb6f13703553ac5f523c5cc9b4257949"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6RNAG22CDWBRE4OYE2N2LJGPGS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite Volume Formulation of the MIB Method for Elliptic Interface Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Bao Wang, Guowi Wei, Kelin Xia, Yin Cao","submitted_at":"2015-09-03T00:21:15Z","abstract_excerpt":"The matched interface and boundary (MIB) method has a proven ability for delivering the second order accuracy in handling elliptic interface problems with arbitrarily complex interface geometries. However, its collocation formulation requires relatively high solution regularity. Finite volume method (FVM) has its merit in dealing with conservation law problems and its integral formulation works well with relatively low solution regularity. We propose an MIB-FVM to take the advantages of both MIB and FVM for solving elliptic interface problems. We construct the proposed method on Cartesian mesh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00905","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":"2026-05-18T01:34:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C2MsAILfWw0sWoBEX4WW1vfPtEX13CRAYwmJ8vN2LY6asp8LunnDubDzJSLDliGf2FaiCFfMZRsyOGycVMfkCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:01:14.730967Z"},"content_sha256":"26f252c0de528dee0a068c9f31eead93690ebb70d7d26525e2af8cc9b64f2042","schema_version":"1.0","event_id":"sha256:26f252c0de528dee0a068c9f31eead93690ebb70d7d26525e2af8cc9b64f2042"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6RNAG22CDWBRE4OYE2N2LJGPGS/bundle.json","state_url":"https://pith.science/pith/6RNAG22CDWBRE4OYE2N2LJGPGS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6RNAG22CDWBRE4OYE2N2LJGPGS/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":"2026-05-26T10:01:14Z","links":{"resolver":"https://pith.science/pith/6RNAG22CDWBRE4OYE2N2LJGPGS","bundle":"https://pith.science/pith/6RNAG22CDWBRE4OYE2N2LJGPGS/bundle.json","state":"https://pith.science/pith/6RNAG22CDWBRE4OYE2N2LJGPGS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6RNAG22CDWBRE4OYE2N2LJGPGS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6RNAG22CDWBRE4OYE2N2LJGPGS","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":"50fbce6ca8b71b0eaa7ef11e251b55873e3a9175278edd7dcc5d7a47e10398a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-03T00:21:15Z","title_canon_sha256":"5f4b7ca464728969d1aa490f06f02af66efaca58ed6899aa0f3f8b2b8fdf65b8"},"schema_version":"1.0","source":{"id":"1509.00905","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00905","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00905v1","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00905","created_at":"2026-05-18T01:34:04Z"},{"alias_kind":"pith_short_12","alias_value":"6RNAG22CDWBR","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6RNAG22CDWBRE4OY","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6RNAG22C","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:26f252c0de528dee0a068c9f31eead93690ebb70d7d26525e2af8cc9b64f2042","target":"graph","created_at":"2026-05-18T01:34:04Z","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":"The matched interface and boundary (MIB) method has a proven ability for delivering the second order accuracy in handling elliptic interface problems with arbitrarily complex interface geometries. However, its collocation formulation requires relatively high solution regularity. Finite volume method (FVM) has its merit in dealing with conservation law problems and its integral formulation works well with relatively low solution regularity. We propose an MIB-FVM to take the advantages of both MIB and FVM for solving elliptic interface problems. We construct the proposed method on Cartesian mesh","authors_text":"Bao Wang, Guowi Wei, Kelin Xia, Yin Cao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-03T00:21:15Z","title":"Finite Volume Formulation of the MIB Method for Elliptic Interface Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00905","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":"sha256:249b8a37a2ff3abbf50aa1b62eff57f3cb6f13703553ac5f523c5cc9b4257949","target":"record","created_at":"2026-05-18T01:34:04Z","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":"50fbce6ca8b71b0eaa7ef11e251b55873e3a9175278edd7dcc5d7a47e10398a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-03T00:21:15Z","title_canon_sha256":"5f4b7ca464728969d1aa490f06f02af66efaca58ed6899aa0f3f8b2b8fdf65b8"},"schema_version":"1.0","source":{"id":"1509.00905","kind":"arxiv","version":1}},"canonical_sha256":"f45a036b421d831271d8269ba5a4cf34a8d381be7705d56e5f4511d1a682217b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f45a036b421d831271d8269ba5a4cf34a8d381be7705d56e5f4511d1a682217b","first_computed_at":"2026-05-18T01:34:04.819870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:04.819870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rhFsu8VlijSeihsehLkzpsoPFEyplRwPSC5XtYUG7GOiRQMbLCe7TYaBI7ELPsr36vw2WN1XSN9Fqtc6u+6jAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:04.820288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.00905","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:249b8a37a2ff3abbf50aa1b62eff57f3cb6f13703553ac5f523c5cc9b4257949","sha256:26f252c0de528dee0a068c9f31eead93690ebb70d7d26525e2af8cc9b64f2042"],"state_sha256":"474829a7275b0df5c25358e8836db38ede4456769f889464bd41bc5196aaec34"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/GxDu4fqWMUrt5LClszuLoHlKvFlpVV4//tbibSYy0gIzvOJayLz5fMKeEKVLQtx7jQZfvG87jS4zTC3img6DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T10:01:14.734632Z","bundle_sha256":"9cc2a0fbfd768532acb1116c6c5cbbe7500bbcaecd0a5b86262d9c7c82d882ba"}}