{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EMFHVLOV25BVOHRI5EEBAVEZ3B","short_pith_number":"pith:EMFHVLOV","canonical_record":{"source":{"id":"1711.10052","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-28T00:00:22Z","cross_cats_sorted":[],"title_canon_sha256":"268e27c7237bcc399827a03d04df92d418089a665f25409469e1ca2af11dde1c","abstract_canon_sha256":"17601240b44703c63d9be9d4faee9566e9ee87b4665a7650b9fb659383789722"},"schema_version":"1.0"},"canonical_sha256":"230a7aadd5d743571e28e908105499d84c32ede43dd1f018e0ba92b089b99b40","source":{"kind":"arxiv","id":"1711.10052","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.10052","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"arxiv_version","alias_value":"1711.10052v2","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10052","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"pith_short_12","alias_value":"EMFHVLOV25BV","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EMFHVLOV25BVOHRI","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EMFHVLOV","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EMFHVLOV25BVOHRI5EEBAVEZ3B","target":"record","payload":{"canonical_record":{"source":{"id":"1711.10052","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-28T00:00:22Z","cross_cats_sorted":[],"title_canon_sha256":"268e27c7237bcc399827a03d04df92d418089a665f25409469e1ca2af11dde1c","abstract_canon_sha256":"17601240b44703c63d9be9d4faee9566e9ee87b4665a7650b9fb659383789722"},"schema_version":"1.0"},"canonical_sha256":"230a7aadd5d743571e28e908105499d84c32ede43dd1f018e0ba92b089b99b40","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:52.087722Z","signature_b64":"+P0UJ5qBAI3oc0EkyoOQ0WFdp+pSXBexW2HTHaee1wC4vA8bqxOPj1fASKZRpp/U16ZZURMwmAUYvVGFidi4Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"230a7aadd5d743571e28e908105499d84c32ede43dd1f018e0ba92b089b99b40","last_reissued_at":"2026-05-18T00:10:52.087028Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:52.087028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.10052","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":"2026-05-18T00:10:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lBdvKJdHQyYrHOabdID7zHttXgPFoPRa8BzNfJTorEL1gtjAduPFXmNXgPBt5znqZQX4siLLUJKi5gWsCI7kAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:44:18.215117Z"},"content_sha256":"64723865cad52306f5e1f34c83c3a9e6ef823155d930923eb0870940f4041ce5","schema_version":"1.0","event_id":"sha256:64723865cad52306f5e1f34c83c3a9e6ef823155d930923eb0870940f4041ce5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EMFHVLOV25BVOHRI5EEBAVEZ3B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite volume schemes for multilayer diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Elliot J. Carr, Nathan G. March","submitted_at":"2017-11-28T00:00:22Z","abstract_excerpt":"This paper focusses on finite volume schemes for solving multilayer diffusion problems. We develop a finite volume method that addresses a deficiency of recently proposed finite volume/difference methods, which consider only a limited number of interface conditions and do not carry out stability or convergence analysis. Our method also retains second order accuracy in space while preserving the tridiagonal matrix structure of the classical single-layer discretisation. Stability and convergence analysis of the new finite volume method is presented for each of the three classical time discretisa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10052","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":"2026-05-18T00:10:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CE0FctfnLs9cOJVE7h1n8v/Lv4Lj4F7hv5a3lzanOwMZtuKkvHO5OKrSoBFLTty/ltS/QJi6jmIQvALVtchGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:44:18.215488Z"},"content_sha256":"4fd336903a1122e30aea7fde0b64c27d0aed27acfc62196793fc8d9de3212a29","schema_version":"1.0","event_id":"sha256:4fd336903a1122e30aea7fde0b64c27d0aed27acfc62196793fc8d9de3212a29"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EMFHVLOV25BVOHRI5EEBAVEZ3B/bundle.json","state_url":"https://pith.science/pith/EMFHVLOV25BVOHRI5EEBAVEZ3B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EMFHVLOV25BVOHRI5EEBAVEZ3B/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":"2026-06-04T17:44:18Z","links":{"resolver":"https://pith.science/pith/EMFHVLOV25BVOHRI5EEBAVEZ3B","bundle":"https://pith.science/pith/EMFHVLOV25BVOHRI5EEBAVEZ3B/bundle.json","state":"https://pith.science/pith/EMFHVLOV25BVOHRI5EEBAVEZ3B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EMFHVLOV25BVOHRI5EEBAVEZ3B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EMFHVLOV25BVOHRI5EEBAVEZ3B","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":"17601240b44703c63d9be9d4faee9566e9ee87b4665a7650b9fb659383789722","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-28T00:00:22Z","title_canon_sha256":"268e27c7237bcc399827a03d04df92d418089a665f25409469e1ca2af11dde1c"},"schema_version":"1.0","source":{"id":"1711.10052","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.10052","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"arxiv_version","alias_value":"1711.10052v2","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10052","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"pith_short_12","alias_value":"EMFHVLOV25BV","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EMFHVLOV25BVOHRI","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EMFHVLOV","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:4fd336903a1122e30aea7fde0b64c27d0aed27acfc62196793fc8d9de3212a29","target":"graph","created_at":"2026-05-18T00:10:52Z","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 focusses on finite volume schemes for solving multilayer diffusion problems. We develop a finite volume method that addresses a deficiency of recently proposed finite volume/difference methods, which consider only a limited number of interface conditions and do not carry out stability or convergence analysis. Our method also retains second order accuracy in space while preserving the tridiagonal matrix structure of the classical single-layer discretisation. Stability and convergence analysis of the new finite volume method is presented for each of the three classical time discretisa","authors_text":"Elliot J. Carr, Nathan G. March","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-28T00:00:22Z","title":"Finite volume schemes for multilayer diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10052","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":"sha256:64723865cad52306f5e1f34c83c3a9e6ef823155d930923eb0870940f4041ce5","target":"record","created_at":"2026-05-18T00:10:52Z","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":"17601240b44703c63d9be9d4faee9566e9ee87b4665a7650b9fb659383789722","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-28T00:00:22Z","title_canon_sha256":"268e27c7237bcc399827a03d04df92d418089a665f25409469e1ca2af11dde1c"},"schema_version":"1.0","source":{"id":"1711.10052","kind":"arxiv","version":2}},"canonical_sha256":"230a7aadd5d743571e28e908105499d84c32ede43dd1f018e0ba92b089b99b40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"230a7aadd5d743571e28e908105499d84c32ede43dd1f018e0ba92b089b99b40","first_computed_at":"2026-05-18T00:10:52.087028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:52.087028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+P0UJ5qBAI3oc0EkyoOQ0WFdp+pSXBexW2HTHaee1wC4vA8bqxOPj1fASKZRpp/U16ZZURMwmAUYvVGFidi4Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:52.087722Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.10052","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64723865cad52306f5e1f34c83c3a9e6ef823155d930923eb0870940f4041ce5","sha256:4fd336903a1122e30aea7fde0b64c27d0aed27acfc62196793fc8d9de3212a29"],"state_sha256":"e79f084eaa9ee8e27ac555f0c71c4c0c495c570cfa86c4440d7cee0a35a92ea8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hu8CFWxX7Zt3bLg3/vLLs3PrmvOdi2YtH8NmzvpPE1wpUHopVtGwWHmj+k+dsqkHEYkmmkLTwd+PDRB7tyEeDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T17:44:18.217615Z","bundle_sha256":"b81007959ef9a29a2e26253f96d10cc6c3509cf3d9f00f95cd40f0aee6d6e4c1"}}