{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:JKLQG5LXRB4HW6WG7Z6ZUNBOJI","short_pith_number":"pith:JKLQG5LX","canonical_record":{"source":{"id":"1701.05069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-18T14:12:25Z","cross_cats_sorted":[],"title_canon_sha256":"ec48eb6fa61ba7830159de05a9877764d3f1885b6b36c8f464cc21c5dfd1981a","abstract_canon_sha256":"7faec33757a421a30c9f9975ae97e1aabc187c6187f01fa10401f8e7d158a128"},"schema_version":"1.0"},"canonical_sha256":"4a9703757788787b7ac6fe7d9a342e4a2d0c7acb616569ee593681a3e328ce71","source":{"kind":"arxiv","id":"1701.05069","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05069","created_at":"2026-05-18T00:52:33Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05069v1","created_at":"2026-05-18T00:52:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05069","created_at":"2026-05-18T00:52:33Z"},{"alias_kind":"pith_short_12","alias_value":"JKLQG5LXRB4H","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JKLQG5LXRB4HW6WG","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JKLQG5LX","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:JKLQG5LXRB4HW6WG7Z6ZUNBOJI","target":"record","payload":{"canonical_record":{"source":{"id":"1701.05069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-18T14:12:25Z","cross_cats_sorted":[],"title_canon_sha256":"ec48eb6fa61ba7830159de05a9877764d3f1885b6b36c8f464cc21c5dfd1981a","abstract_canon_sha256":"7faec33757a421a30c9f9975ae97e1aabc187c6187f01fa10401f8e7d158a128"},"schema_version":"1.0"},"canonical_sha256":"4a9703757788787b7ac6fe7d9a342e4a2d0c7acb616569ee593681a3e328ce71","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:33.223450Z","signature_b64":"ElRiIH9HJn01DRNNDY4G9Wa94zBnf7S6tgRUzZWc0H3Tzj5CFOuM073QmR+at0z1jbbyTi42pstjGc35JJUwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a9703757788787b7ac6fe7d9a342e4a2d0c7acb616569ee593681a3e328ce71","last_reissued_at":"2026-05-18T00:52:33.223083Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:33.223083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.05069","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":"2026-05-18T00:52:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MTIfnqpyjb3S1QXZGEZPLeucVNrbVyIb4Sfuh2qDIixmQd8uJlmLtGNlmEqoTMkxus3WQ+nJ4uTNOhqH6fPaCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:28:42.838252Z"},"content_sha256":"6d4d448e9acf316138725de504e551b843e7a7c1bbb5ee0ff4c788b7a6620f62","schema_version":"1.0","event_id":"sha256:6d4d448e9acf316138725de504e551b843e7a7c1bbb5ee0ff4c788b7a6620f62"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:JKLQG5LXRB4HW6WG7Z6ZUNBOJI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Ana\\\"is Crestetto, Mohammed Lemou, Nicolas Crouseilles","submitted_at":"2017-01-18T14:12:25Z","abstract_excerpt":"In this work, we derive particle schemes, based on micro-macro decomposition, for linear kinetic equations in the diffusion limit. Due to the particle approximation of the micro part, a splitting between the transport and the collision part has to be performed, and the stiffness of both these two parts prevent from uniform stability. To overcome this difficulty, the micro-macro system is reformulated into a continuous PDE whose coefficients are no longer stiff, and depend on the time step $\\Delta t$ in a consistent way. This non-stiff reformulation of the micro-macro system allows the use of s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05069","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":"2026-05-18T00:52:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RRP3wXdlUc2Pb6iMo0+YF6S6yx4O7YrEejapmFtGToAN6G8xJrFqLErGESxs0G9DlHtVGbqH1d5aQbX+Oj41Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:28:42.838679Z"},"content_sha256":"df1b48e504512b8ca57982404a0ecae56311b48337a1343b2b16d03280493e9a","schema_version":"1.0","event_id":"sha256:df1b48e504512b8ca57982404a0ecae56311b48337a1343b2b16d03280493e9a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JKLQG5LXRB4HW6WG7Z6ZUNBOJI/bundle.json","state_url":"https://pith.science/pith/JKLQG5LXRB4HW6WG7Z6ZUNBOJI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JKLQG5LXRB4HW6WG7Z6ZUNBOJI/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":"2026-05-31T05:28:42Z","links":{"resolver":"https://pith.science/pith/JKLQG5LXRB4HW6WG7Z6ZUNBOJI","bundle":"https://pith.science/pith/JKLQG5LXRB4HW6WG7Z6ZUNBOJI/bundle.json","state":"https://pith.science/pith/JKLQG5LXRB4HW6WG7Z6ZUNBOJI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JKLQG5LXRB4HW6WG7Z6ZUNBOJI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JKLQG5LXRB4HW6WG7Z6ZUNBOJI","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":"7faec33757a421a30c9f9975ae97e1aabc187c6187f01fa10401f8e7d158a128","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-18T14:12:25Z","title_canon_sha256":"ec48eb6fa61ba7830159de05a9877764d3f1885b6b36c8f464cc21c5dfd1981a"},"schema_version":"1.0","source":{"id":"1701.05069","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05069","created_at":"2026-05-18T00:52:33Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05069v1","created_at":"2026-05-18T00:52:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05069","created_at":"2026-05-18T00:52:33Z"},{"alias_kind":"pith_short_12","alias_value":"JKLQG5LXRB4H","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JKLQG5LXRB4HW6WG","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JKLQG5LX","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:df1b48e504512b8ca57982404a0ecae56311b48337a1343b2b16d03280493e9a","target":"graph","created_at":"2026-05-18T00:52:33Z","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 work, we derive particle schemes, based on micro-macro decomposition, for linear kinetic equations in the diffusion limit. Due to the particle approximation of the micro part, a splitting between the transport and the collision part has to be performed, and the stiffness of both these two parts prevent from uniform stability. To overcome this difficulty, the micro-macro system is reformulated into a continuous PDE whose coefficients are no longer stiff, and depend on the time step $\\Delta t$ in a consistent way. This non-stiff reformulation of the micro-macro system allows the use of s","authors_text":"Ana\\\"is Crestetto, Mohammed Lemou, Nicolas Crouseilles","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-18T14:12:25Z","title":"A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05069","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":"sha256:6d4d448e9acf316138725de504e551b843e7a7c1bbb5ee0ff4c788b7a6620f62","target":"record","created_at":"2026-05-18T00:52:33Z","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":"7faec33757a421a30c9f9975ae97e1aabc187c6187f01fa10401f8e7d158a128","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-18T14:12:25Z","title_canon_sha256":"ec48eb6fa61ba7830159de05a9877764d3f1885b6b36c8f464cc21c5dfd1981a"},"schema_version":"1.0","source":{"id":"1701.05069","kind":"arxiv","version":1}},"canonical_sha256":"4a9703757788787b7ac6fe7d9a342e4a2d0c7acb616569ee593681a3e328ce71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a9703757788787b7ac6fe7d9a342e4a2d0c7acb616569ee593681a3e328ce71","first_computed_at":"2026-05-18T00:52:33.223083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:33.223083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ElRiIH9HJn01DRNNDY4G9Wa94zBnf7S6tgRUzZWc0H3Tzj5CFOuM073QmR+at0z1jbbyTi42pstjGc35JJUwAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:33.223450Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05069","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d4d448e9acf316138725de504e551b843e7a7c1bbb5ee0ff4c788b7a6620f62","sha256:df1b48e504512b8ca57982404a0ecae56311b48337a1343b2b16d03280493e9a"],"state_sha256":"5559baf2568a3da5bbffa7e91a2cccdf8636b30ce19c3e2e244c79dd66a2d8ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F1oQZipdNHAE907y3+/0iIdWH/GsSChpAC4swbC3K3gjmcUyhE/Y6qj6/+oFJowwG4b+m4i5UZCsvybT1Uc4BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:28:42.841590Z","bundle_sha256":"c56b049e7f89e0eaadc42214870ecca27f1ed5053072fe68cccc616d57a358f2"}}