{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:EFHYVAJJ4UBCILHI4ALRH2JVX6","short_pith_number":"pith:EFHYVAJJ","canonical_record":{"source":{"id":"1412.0376","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-12-01T08:51:36Z","cross_cats_sorted":[],"title_canon_sha256":"b82c20ff7ed6f0c9f29082cb484b67c0f6d828dcce3d4c14dbc648c4a8b4a2ab","abstract_canon_sha256":"f52164ae2eb351f18cca8fab6ecf4f9bbf36c7428732bc61d5718180ed3ac76d"},"schema_version":"1.0"},"canonical_sha256":"214f8a8129e502242ce8e01713e935bf8620185ff1c6e6521f86581273442a60","source":{"kind":"arxiv","id":"1412.0376","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0376","created_at":"2026-05-18T02:32:27Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0376v1","created_at":"2026-05-18T02:32:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0376","created_at":"2026-05-18T02:32:27Z"},{"alias_kind":"pith_short_12","alias_value":"EFHYVAJJ4UBC","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"EFHYVAJJ4UBCILHI","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"EFHYVAJJ","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:EFHYVAJJ4UBCILHI4ALRH2JVX6","target":"record","payload":{"canonical_record":{"source":{"id":"1412.0376","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-12-01T08:51:36Z","cross_cats_sorted":[],"title_canon_sha256":"b82c20ff7ed6f0c9f29082cb484b67c0f6d828dcce3d4c14dbc648c4a8b4a2ab","abstract_canon_sha256":"f52164ae2eb351f18cca8fab6ecf4f9bbf36c7428732bc61d5718180ed3ac76d"},"schema_version":"1.0"},"canonical_sha256":"214f8a8129e502242ce8e01713e935bf8620185ff1c6e6521f86581273442a60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:27.993984Z","signature_b64":"sKsAv+fmWPKD0vNnbYcIY9E8cq3FPRacgWsNESfYQAvAgZis3U/YsDaJ3XOjs297YQvGlotFGQgVEKJQZ9XFCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"214f8a8129e502242ce8e01713e935bf8620185ff1c6e6521f86581273442a60","last_reissued_at":"2026-05-18T02:32:27.993649Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:27.993649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.0376","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":"2026-05-18T02:32:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+fhm2ACzmYgFfyl+mEcmYSeP3LFGWE/CIZOk6dr3AW3VtrwsFaIr16C/SeY7Uul//HS1bj47pPk7PAOZQxFyCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:30:43.190712Z"},"content_sha256":"071c9f14859ac45dee3a80381fb682d2017d33034fadc0db505e51265dc75f18","schema_version":"1.0","event_id":"sha256:071c9f14859ac45dee3a80381fb682d2017d33034fadc0db505e51265dc75f18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:EFHYVAJJ4UBCILHI4ALRH2JVX6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convergence of finite volumes schemes for the coupling between the inviscid Burgers equation and a particle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Fr\\'ed\\'eric Lagouti\\`ere (LM-Orsay), Inria Paris-Rocquencourt), Nicolas Seguin (LJLL, Nina Aguillon (LM-Orsay)","submitted_at":"2014-12-01T08:51:36Z","abstract_excerpt":"In this paper, we prove the convergence of a class of finite volume schemes for the model of coupling between a Burgers fluid and a pointwise particle introduced in [LST08]. In this model, the particle is seen as a moving interface through which an interface condition is imposed, which links the velocity of the fluid on the left and on the right of the particle and the velocity of the particle (the three quantities are all not equal in general). The total impulsion of the system is conserved through time.The proposed schemes are consistent with a \"large enough\" part of the interface conditions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0376","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":"2026-05-18T02:32:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JAeUsWKpWWnRmlX76DKfgDPZlLO7aPc4NL4fkOoi00xzCpQu2+m5+jhk5F95aZ1/ZebDLWTwpXBCb6wivbSBAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:30:43.191525Z"},"content_sha256":"606591b87f90372ae0463ce0b9095dcd1711479db36875d0a8a30e94724b2acc","schema_version":"1.0","event_id":"sha256:606591b87f90372ae0463ce0b9095dcd1711479db36875d0a8a30e94724b2acc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EFHYVAJJ4UBCILHI4ALRH2JVX6/bundle.json","state_url":"https://pith.science/pith/EFHYVAJJ4UBCILHI4ALRH2JVX6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EFHYVAJJ4UBCILHI4ALRH2JVX6/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":"2026-05-30T13:30:43Z","links":{"resolver":"https://pith.science/pith/EFHYVAJJ4UBCILHI4ALRH2JVX6","bundle":"https://pith.science/pith/EFHYVAJJ4UBCILHI4ALRH2JVX6/bundle.json","state":"https://pith.science/pith/EFHYVAJJ4UBCILHI4ALRH2JVX6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EFHYVAJJ4UBCILHI4ALRH2JVX6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EFHYVAJJ4UBCILHI4ALRH2JVX6","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":"f52164ae2eb351f18cca8fab6ecf4f9bbf36c7428732bc61d5718180ed3ac76d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-12-01T08:51:36Z","title_canon_sha256":"b82c20ff7ed6f0c9f29082cb484b67c0f6d828dcce3d4c14dbc648c4a8b4a2ab"},"schema_version":"1.0","source":{"id":"1412.0376","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0376","created_at":"2026-05-18T02:32:27Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0376v1","created_at":"2026-05-18T02:32:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0376","created_at":"2026-05-18T02:32:27Z"},{"alias_kind":"pith_short_12","alias_value":"EFHYVAJJ4UBC","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"EFHYVAJJ4UBCILHI","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"EFHYVAJJ","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:606591b87f90372ae0463ce0b9095dcd1711479db36875d0a8a30e94724b2acc","target":"graph","created_at":"2026-05-18T02:32:27Z","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":"In this paper, we prove the convergence of a class of finite volume schemes for the model of coupling between a Burgers fluid and a pointwise particle introduced in [LST08]. In this model, the particle is seen as a moving interface through which an interface condition is imposed, which links the velocity of the fluid on the left and on the right of the particle and the velocity of the particle (the three quantities are all not equal in general). The total impulsion of the system is conserved through time.The proposed schemes are consistent with a \"large enough\" part of the interface conditions","authors_text":"Fr\\'ed\\'eric Lagouti\\`ere (LM-Orsay), Inria Paris-Rocquencourt), Nicolas Seguin (LJLL, Nina Aguillon (LM-Orsay)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-12-01T08:51:36Z","title":"Convergence of finite volumes schemes for the coupling between the inviscid Burgers equation and a particle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0376","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":"sha256:071c9f14859ac45dee3a80381fb682d2017d33034fadc0db505e51265dc75f18","target":"record","created_at":"2026-05-18T02:32:27Z","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":"f52164ae2eb351f18cca8fab6ecf4f9bbf36c7428732bc61d5718180ed3ac76d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-12-01T08:51:36Z","title_canon_sha256":"b82c20ff7ed6f0c9f29082cb484b67c0f6d828dcce3d4c14dbc648c4a8b4a2ab"},"schema_version":"1.0","source":{"id":"1412.0376","kind":"arxiv","version":1}},"canonical_sha256":"214f8a8129e502242ce8e01713e935bf8620185ff1c6e6521f86581273442a60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"214f8a8129e502242ce8e01713e935bf8620185ff1c6e6521f86581273442a60","first_computed_at":"2026-05-18T02:32:27.993649Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:27.993649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sKsAv+fmWPKD0vNnbYcIY9E8cq3FPRacgWsNESfYQAvAgZis3U/YsDaJ3XOjs297YQvGlotFGQgVEKJQZ9XFCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:27.993984Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0376","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:071c9f14859ac45dee3a80381fb682d2017d33034fadc0db505e51265dc75f18","sha256:606591b87f90372ae0463ce0b9095dcd1711479db36875d0a8a30e94724b2acc"],"state_sha256":"9b5200f12ee8f225d20f46bc2b62985c6442478a72c45f60a1af8a6f72acfd9d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QJVqDsFDIyDIYw1EftH7Ey548pROeDSwWiW00OlR16QrNMNbDCGq1wBSayQqU3PWZAgK2mzoH9oM47t8rZIcCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:30:43.195351Z","bundle_sha256":"518102f7ee6665ce02bd409a1d8ee8c6b6d2c3b2bdab77b7846737579dd99868"}}