{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:I6SPJSCDMCZUBRWC7OJOGLROGD","short_pith_number":"pith:I6SPJSCD","canonical_record":{"source":{"id":"1010.0652","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-10-04T18:12:02Z","cross_cats_sorted":["physics.comp-ph","physics.flu-dyn"],"title_canon_sha256":"3c87a5d3b626219e95499110305616d7142e6ba5ba9cd959d74844e9ee8f2df2","abstract_canon_sha256":"4f1c65679e644fa5b05c62a357b3f314bfa641ee2943573afacd9c34f2872c8d"},"schema_version":"1.0"},"canonical_sha256":"47a4f4c84360b340c6c2fb92e32e2e30f62cbfce74302e9f22024a0c6fc71e8a","source":{"kind":"arxiv","id":"1010.0652","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0652","created_at":"2026-05-18T04:12:02Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0652v2","created_at":"2026-05-18T04:12:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0652","created_at":"2026-05-18T04:12:02Z"},{"alias_kind":"pith_short_12","alias_value":"I6SPJSCDMCZU","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"I6SPJSCDMCZUBRWC","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"I6SPJSCD","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:I6SPJSCDMCZUBRWC7OJOGLROGD","target":"record","payload":{"canonical_record":{"source":{"id":"1010.0652","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-10-04T18:12:02Z","cross_cats_sorted":["physics.comp-ph","physics.flu-dyn"],"title_canon_sha256":"3c87a5d3b626219e95499110305616d7142e6ba5ba9cd959d74844e9ee8f2df2","abstract_canon_sha256":"4f1c65679e644fa5b05c62a357b3f314bfa641ee2943573afacd9c34f2872c8d"},"schema_version":"1.0"},"canonical_sha256":"47a4f4c84360b340c6c2fb92e32e2e30f62cbfce74302e9f22024a0c6fc71e8a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:02.238432Z","signature_b64":"h++u01CajpSBHdRt1/OepoplYMFOfqKG0NHaIIygVkMV0wxCOpEYgMC7vtgnmxnguoCm8I9UrzrTg1VUwD8QDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47a4f4c84360b340c6c2fb92e32e2e30f62cbfce74302e9f22024a0c6fc71e8a","last_reissued_at":"2026-05-18T04:12:02.238040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:02.238040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.0652","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":"2026-05-18T04:12:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C/iNabUFMg6k5itmoWhuzKxPwFZBOylOYRhoN0Yx+0amiA0TgIfA1K3mSbLqGh8/O7+mbbZcbqgjyJ9D0+teBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:18:45.601171Z"},"content_sha256":"946b10283cde6b265fb79806051373bc47595334ad360c8b669f14345d790f72","schema_version":"1.0","event_id":"sha256:946b10283cde6b265fb79806051373bc47595334ad360c8b669f14345d790f72"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:I6SPJSCDMCZUBRWC7OJOGLROGD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Correction Function Method for Poisson Problems with Interface Jump Conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph","physics.flu-dyn"],"primary_cat":"math.NA","authors_text":"Alexandre Noll Marques, Jean-Christophe Nave, Rodolfo Ruben Rosales","submitted_at":"2010-10-04T18:12:02Z","abstract_excerpt":"In this paper we present a method to treat interface jump conditions for constant coefficients Poisson problems that allows the use of standard \"black box\" solvers, without compromising accuracy. The basic idea of the new approach is similar to the Ghost Fluid Method (GFM). The GFM relies on corrections applied on nodes located across the interface for discretization stencils that straddle the interface. If the corrections are solution-independent, they can be moved to the right-hand-side (RHS) of the equations, producing a problem with the same linear system as if there were no jumps, only wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0652","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":"2026-05-18T04:12:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uL07gOO6BANbAVsVhxKlSOIo3uDiNQOkzQqRMTMFAEfuOvtN9cFi2fGgCRJypF8/AIoQ9rf08kjK0jMhALhGDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:18:45.601536Z"},"content_sha256":"bfeacb2ded170369140625d11cbb4a5581b55d98a6a841e8ea8abb431fe5094b","schema_version":"1.0","event_id":"sha256:bfeacb2ded170369140625d11cbb4a5581b55d98a6a841e8ea8abb431fe5094b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I6SPJSCDMCZUBRWC7OJOGLROGD/bundle.json","state_url":"https://pith.science/pith/I6SPJSCDMCZUBRWC7OJOGLROGD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I6SPJSCDMCZUBRWC7OJOGLROGD/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":"2026-06-11T13:18:45Z","links":{"resolver":"https://pith.science/pith/I6SPJSCDMCZUBRWC7OJOGLROGD","bundle":"https://pith.science/pith/I6SPJSCDMCZUBRWC7OJOGLROGD/bundle.json","state":"https://pith.science/pith/I6SPJSCDMCZUBRWC7OJOGLROGD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I6SPJSCDMCZUBRWC7OJOGLROGD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:I6SPJSCDMCZUBRWC7OJOGLROGD","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":"4f1c65679e644fa5b05c62a357b3f314bfa641ee2943573afacd9c34f2872c8d","cross_cats_sorted":["physics.comp-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-10-04T18:12:02Z","title_canon_sha256":"3c87a5d3b626219e95499110305616d7142e6ba5ba9cd959d74844e9ee8f2df2"},"schema_version":"1.0","source":{"id":"1010.0652","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0652","created_at":"2026-05-18T04:12:02Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0652v2","created_at":"2026-05-18T04:12:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0652","created_at":"2026-05-18T04:12:02Z"},{"alias_kind":"pith_short_12","alias_value":"I6SPJSCDMCZU","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"I6SPJSCDMCZUBRWC","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"I6SPJSCD","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:bfeacb2ded170369140625d11cbb4a5581b55d98a6a841e8ea8abb431fe5094b","target":"graph","created_at":"2026-05-18T04:12:02Z","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":"In this paper we present a method to treat interface jump conditions for constant coefficients Poisson problems that allows the use of standard \"black box\" solvers, without compromising accuracy. The basic idea of the new approach is similar to the Ghost Fluid Method (GFM). The GFM relies on corrections applied on nodes located across the interface for discretization stencils that straddle the interface. If the corrections are solution-independent, they can be moved to the right-hand-side (RHS) of the equations, producing a problem with the same linear system as if there were no jumps, only wi","authors_text":"Alexandre Noll Marques, Jean-Christophe Nave, Rodolfo Ruben Rosales","cross_cats":["physics.comp-ph","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-10-04T18:12:02Z","title":"A Correction Function Method for Poisson Problems with Interface Jump Conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0652","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":"sha256:946b10283cde6b265fb79806051373bc47595334ad360c8b669f14345d790f72","target":"record","created_at":"2026-05-18T04:12:02Z","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":"4f1c65679e644fa5b05c62a357b3f314bfa641ee2943573afacd9c34f2872c8d","cross_cats_sorted":["physics.comp-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-10-04T18:12:02Z","title_canon_sha256":"3c87a5d3b626219e95499110305616d7142e6ba5ba9cd959d74844e9ee8f2df2"},"schema_version":"1.0","source":{"id":"1010.0652","kind":"arxiv","version":2}},"canonical_sha256":"47a4f4c84360b340c6c2fb92e32e2e30f62cbfce74302e9f22024a0c6fc71e8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47a4f4c84360b340c6c2fb92e32e2e30f62cbfce74302e9f22024a0c6fc71e8a","first_computed_at":"2026-05-18T04:12:02.238040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:02.238040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h++u01CajpSBHdRt1/OepoplYMFOfqKG0NHaIIygVkMV0wxCOpEYgMC7vtgnmxnguoCm8I9UrzrTg1VUwD8QDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:02.238432Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.0652","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:946b10283cde6b265fb79806051373bc47595334ad360c8b669f14345d790f72","sha256:bfeacb2ded170369140625d11cbb4a5581b55d98a6a841e8ea8abb431fe5094b"],"state_sha256":"2fcdbd7af7e73e0dd76332fa78af368b73b98b59cf6617af017cb04b1e59bb23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NgDK6fjf7k4WBe4inYXXjLJcrVybWXgZ9CMuy0auvBpncswNcL/NFaRnUPk1gKv6I3fmzt81uQxjEXpwOm9LCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T13:18:45.603527Z","bundle_sha256":"b6ed6a983e9429bd40ff598c4a5cb6b1326845224ed4d930f73f9406a41f8865"}}