{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CDMLGM3GR6ELFUSN4B2W62RUGC","short_pith_number":"pith:CDMLGM3G","canonical_record":{"source":{"id":"1606.01221","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-03T18:59:23Z","cross_cats_sorted":[],"title_canon_sha256":"a2d6ae177aac4d314a7c63dcc64c5cdd221a4236c46955682046e571136b4840","abstract_canon_sha256":"a62eb9fba7ffba819bd00d0076e25a14b5109bd742adc9e2d2bdaf0568e4f5f3"},"schema_version":"1.0"},"canonical_sha256":"10d8b333668f88b2d24de0756f6a3430b30d6e7c01a48ad8c9bc6be9cd1a865d","source":{"kind":"arxiv","id":"1606.01221","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.01221","created_at":"2026-05-18T00:56:06Z"},{"alias_kind":"arxiv_version","alias_value":"1606.01221v2","created_at":"2026-05-18T00:56:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.01221","created_at":"2026-05-18T00:56:06Z"},{"alias_kind":"pith_short_12","alias_value":"CDMLGM3GR6EL","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CDMLGM3GR6ELFUSN","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CDMLGM3G","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CDMLGM3GR6ELFUSN4B2W62RUGC","target":"record","payload":{"canonical_record":{"source":{"id":"1606.01221","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-03T18:59:23Z","cross_cats_sorted":[],"title_canon_sha256":"a2d6ae177aac4d314a7c63dcc64c5cdd221a4236c46955682046e571136b4840","abstract_canon_sha256":"a62eb9fba7ffba819bd00d0076e25a14b5109bd742adc9e2d2bdaf0568e4f5f3"},"schema_version":"1.0"},"canonical_sha256":"10d8b333668f88b2d24de0756f6a3430b30d6e7c01a48ad8c9bc6be9cd1a865d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:06.342303Z","signature_b64":"nFc6Eno3aZEpn3GmqyjA3x7ifik/H6kIgGW8w7a69foChJe/TwWrcAkkYVAkaGTXrKFQqmh2cca5gfwGxSQPDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10d8b333668f88b2d24de0756f6a3430b30d6e7c01a48ad8c9bc6be9cd1a865d","last_reissued_at":"2026-05-18T00:56:06.341894Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:06.341894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.01221","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":"2026-05-18T00:56:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K8cnKNIAqGUElNa31tfscS061nO+/DBpTCu86UVebYHM4V1fdNPVUHn7M2ItJJb5toJ0A0v+x/nbZJLM/Ed1Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T03:35:48.157645Z"},"content_sha256":"4e9a2d3d133c645c36f631b0260dcf533e75655f5a33754421570eece3deb749","schema_version":"1.0","event_id":"sha256:4e9a2d3d133c645c36f631b0260dcf533e75655f5a33754421570eece3deb749"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CDMLGM3GR6ELFUSN4B2W62RUGC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Error analysis of staggered finite difference finite volume schemes on unstructured meshes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Qingshan Chen","submitted_at":"2016-06-03T18:59:23Z","abstract_excerpt":"This work combines the consistency in lower-order differential operators with external approximations of functional spaces to obtain error estimates for finite difference finite volume schemes on unstructured non-uniform meshes. This combined approach is first applied to the one-dimensional elliptic boundary value problem on non-uniform meshes, and a first-order convergence rate is obtained, which agrees with the results previously reported. The approach is also applied to the staggered MAC scheme for the two-dimensional incompressible Stokes problem on unstructured meshes. A first-order conve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.01221","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":"2026-05-18T00:56:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SNhNBUiCKyczhaq14ELe+ZRqGRmx1nyPwbjDhtv5DlmfJz/P8CuIr0kcDum2rsVgseZr2YN09OWLuQDiUszuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T03:35:48.157993Z"},"content_sha256":"2129b3bdd0864d727341609c6004a2d0558b5f58d375c894897da3b5d3510ff8","schema_version":"1.0","event_id":"sha256:2129b3bdd0864d727341609c6004a2d0558b5f58d375c894897da3b5d3510ff8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CDMLGM3GR6ELFUSN4B2W62RUGC/bundle.json","state_url":"https://pith.science/pith/CDMLGM3GR6ELFUSN4B2W62RUGC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CDMLGM3GR6ELFUSN4B2W62RUGC/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":"2026-06-20T03:35:48Z","links":{"resolver":"https://pith.science/pith/CDMLGM3GR6ELFUSN4B2W62RUGC","bundle":"https://pith.science/pith/CDMLGM3GR6ELFUSN4B2W62RUGC/bundle.json","state":"https://pith.science/pith/CDMLGM3GR6ELFUSN4B2W62RUGC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CDMLGM3GR6ELFUSN4B2W62RUGC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CDMLGM3GR6ELFUSN4B2W62RUGC","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":"a62eb9fba7ffba819bd00d0076e25a14b5109bd742adc9e2d2bdaf0568e4f5f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-03T18:59:23Z","title_canon_sha256":"a2d6ae177aac4d314a7c63dcc64c5cdd221a4236c46955682046e571136b4840"},"schema_version":"1.0","source":{"id":"1606.01221","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.01221","created_at":"2026-05-18T00:56:06Z"},{"alias_kind":"arxiv_version","alias_value":"1606.01221v2","created_at":"2026-05-18T00:56:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.01221","created_at":"2026-05-18T00:56:06Z"},{"alias_kind":"pith_short_12","alias_value":"CDMLGM3GR6EL","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CDMLGM3GR6ELFUSN","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CDMLGM3G","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:2129b3bdd0864d727341609c6004a2d0558b5f58d375c894897da3b5d3510ff8","target":"graph","created_at":"2026-05-18T00:56:06Z","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 combines the consistency in lower-order differential operators with external approximations of functional spaces to obtain error estimates for finite difference finite volume schemes on unstructured non-uniform meshes. This combined approach is first applied to the one-dimensional elliptic boundary value problem on non-uniform meshes, and a first-order convergence rate is obtained, which agrees with the results previously reported. The approach is also applied to the staggered MAC scheme for the two-dimensional incompressible Stokes problem on unstructured meshes. A first-order conve","authors_text":"Qingshan Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-03T18:59:23Z","title":"Error analysis of staggered finite difference finite volume schemes on unstructured meshes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.01221","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":"sha256:4e9a2d3d133c645c36f631b0260dcf533e75655f5a33754421570eece3deb749","target":"record","created_at":"2026-05-18T00:56:06Z","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":"a62eb9fba7ffba819bd00d0076e25a14b5109bd742adc9e2d2bdaf0568e4f5f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-03T18:59:23Z","title_canon_sha256":"a2d6ae177aac4d314a7c63dcc64c5cdd221a4236c46955682046e571136b4840"},"schema_version":"1.0","source":{"id":"1606.01221","kind":"arxiv","version":2}},"canonical_sha256":"10d8b333668f88b2d24de0756f6a3430b30d6e7c01a48ad8c9bc6be9cd1a865d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10d8b333668f88b2d24de0756f6a3430b30d6e7c01a48ad8c9bc6be9cd1a865d","first_computed_at":"2026-05-18T00:56:06.341894Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:06.341894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nFc6Eno3aZEpn3GmqyjA3x7ifik/H6kIgGW8w7a69foChJe/TwWrcAkkYVAkaGTXrKFQqmh2cca5gfwGxSQPDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:06.342303Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.01221","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e9a2d3d133c645c36f631b0260dcf533e75655f5a33754421570eece3deb749","sha256:2129b3bdd0864d727341609c6004a2d0558b5f58d375c894897da3b5d3510ff8"],"state_sha256":"fbc70ee3c3b7335da10049769d75b7aabd9d9f22d33beb078e12642d8a77f246"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sPq/ZmiJ8UQeB0lvwNI+qnQ/BE/eM6xK4b2hf1VcBsw+UvhfxQBpwdhVkAgSAzPNS4c6fi2EALm9E7c0iDMlAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T03:35:48.159922Z","bundle_sha256":"5a3e4df1374fa8576563348a71c59a368d1026659b2c6a96e31d9dd8ddb77822"}}