{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:OPSEKOTJ6W27VDSX5FJGHFL6WB","short_pith_number":"pith:OPSEKOTJ","canonical_record":{"source":{"id":"1911.12215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-11-27T15:15:20Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"c47fca4a889a7ec6301fd43a069b8c38ab8993214f50c5b6c7c8443778b48069","abstract_canon_sha256":"71094747fe9a9737696bf28c6933d05e183838284eebbbd9e8382a3460e83b59"},"schema_version":"1.0"},"canonical_sha256":"73e4453a69f5b5fa8e57e95263957eb060e7c911602980d3c8ab2fb6da3ef49f","source":{"kind":"arxiv","id":"1911.12215","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.12215","created_at":"2026-07-05T00:22:31Z"},{"alias_kind":"arxiv_version","alias_value":"1911.12215v1","created_at":"2026-07-05T00:22:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.12215","created_at":"2026-07-05T00:22:31Z"},{"alias_kind":"pith_short_12","alias_value":"OPSEKOTJ6W27","created_at":"2026-07-05T00:22:31Z"},{"alias_kind":"pith_short_16","alias_value":"OPSEKOTJ6W27VDSX","created_at":"2026-07-05T00:22:31Z"},{"alias_kind":"pith_short_8","alias_value":"OPSEKOTJ","created_at":"2026-07-05T00:22:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:OPSEKOTJ6W27VDSX5FJGHFL6WB","target":"record","payload":{"canonical_record":{"source":{"id":"1911.12215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-11-27T15:15:20Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"c47fca4a889a7ec6301fd43a069b8c38ab8993214f50c5b6c7c8443778b48069","abstract_canon_sha256":"71094747fe9a9737696bf28c6933d05e183838284eebbbd9e8382a3460e83b59"},"schema_version":"1.0"},"canonical_sha256":"73e4453a69f5b5fa8e57e95263957eb060e7c911602980d3c8ab2fb6da3ef49f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:22:31.617475Z","signature_b64":"EqIFr5piIVKPwXcgw7RHB9s+0G+CABsT5PmybCpJjtG/g6g/idx4V/uuy26rtSECXJKdZM54qp+vEbSeeLbCDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73e4453a69f5b5fa8e57e95263957eb060e7c911602980d3c8ab2fb6da3ef49f","last_reissued_at":"2026-07-05T00:22:31.617046Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:22:31.617046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1911.12215","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":"2026-07-05T00:22:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j1rtlsZENLl3snRZpVyDPzk8RXv+iRUC+HiZzT3u0cgTE0M3c655gr4w1Bj0LVTsMLlK+AUflkb5pY9A7OX/Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T12:09:34.097348Z"},"content_sha256":"3dc700ffd5d77b6010df682fb25b22e1afbfe18bf286e408e5dffa09d17c1613","schema_version":"1.0","event_id":"sha256:3dc700ffd5d77b6010df682fb25b22e1afbfe18bf286e408e5dffa09d17c1613"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:OPSEKOTJ6W27VDSX5FJGHFL6WB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A stability property for a mono-dimensional three velocities scheme with relative velocity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.AP","authors_text":"Benjamin Graille (LMO), Fran\\c{c}ois Dubois (LM-Orsay, LMSSC), S.V. Raghurama Rao","submitted_at":"2019-11-27T15:15:20Z","abstract_excerpt":"In this contribution, we study a stability notion for a fundamental linear one-dimensional lattice Boltzmann scheme, this notion being related to the maximum principle. We seek to characterize the parameters of the scheme that guarantee the preservation of the non-negativity of the particle distribution functions. In the context of the relative velocity schemes, we derive necessary and sufficient conditions for the non-negativity preserving property. These conditions are then expressed in a simple way when the relative velocity is reduced to zero. For the general case, we propose some simple n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.12215","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1911.12215/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:22:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fkIfaB1ew/oJIn+fRhl0OLq+uzAEeL+IyiSE1vpFKIykoZsmj1lGXCij2OfWWfIjLIhheYnxhva3ilSq9FNRAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T12:09:34.098283Z"},"content_sha256":"9ba8d2ac15b303253ee608607436e3388c8eb051724db866d426a4df5192f5b3","schema_version":"1.0","event_id":"sha256:9ba8d2ac15b303253ee608607436e3388c8eb051724db866d426a4df5192f5b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OPSEKOTJ6W27VDSX5FJGHFL6WB/bundle.json","state_url":"https://pith.science/pith/OPSEKOTJ6W27VDSX5FJGHFL6WB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OPSEKOTJ6W27VDSX5FJGHFL6WB/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":"2026-08-13T12:09:34Z","links":{"resolver":"https://pith.science/pith/OPSEKOTJ6W27VDSX5FJGHFL6WB","bundle":"https://pith.science/pith/OPSEKOTJ6W27VDSX5FJGHFL6WB/bundle.json","state":"https://pith.science/pith/OPSEKOTJ6W27VDSX5FJGHFL6WB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OPSEKOTJ6W27VDSX5FJGHFL6WB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:OPSEKOTJ6W27VDSX5FJGHFL6WB","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":"71094747fe9a9737696bf28c6933d05e183838284eebbbd9e8382a3460e83b59","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-11-27T15:15:20Z","title_canon_sha256":"c47fca4a889a7ec6301fd43a069b8c38ab8993214f50c5b6c7c8443778b48069"},"schema_version":"1.0","source":{"id":"1911.12215","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.12215","created_at":"2026-07-05T00:22:31Z"},{"alias_kind":"arxiv_version","alias_value":"1911.12215v1","created_at":"2026-07-05T00:22:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.12215","created_at":"2026-07-05T00:22:31Z"},{"alias_kind":"pith_short_12","alias_value":"OPSEKOTJ6W27","created_at":"2026-07-05T00:22:31Z"},{"alias_kind":"pith_short_16","alias_value":"OPSEKOTJ6W27VDSX","created_at":"2026-07-05T00:22:31Z"},{"alias_kind":"pith_short_8","alias_value":"OPSEKOTJ","created_at":"2026-07-05T00:22:31Z"}],"graph_snapshots":[{"event_id":"sha256:9ba8d2ac15b303253ee608607436e3388c8eb051724db866d426a4df5192f5b3","target":"graph","created_at":"2026-07-05T00:22:31Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1911.12215/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this contribution, we study a stability notion for a fundamental linear one-dimensional lattice Boltzmann scheme, this notion being related to the maximum principle. We seek to characterize the parameters of the scheme that guarantee the preservation of the non-negativity of the particle distribution functions. In the context of the relative velocity schemes, we derive necessary and sufficient conditions for the non-negativity preserving property. These conditions are then expressed in a simple way when the relative velocity is reduced to zero. For the general case, we propose some simple n","authors_text":"Benjamin Graille (LMO), Fran\\c{c}ois Dubois (LM-Orsay, LMSSC), S.V. Raghurama Rao","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-11-27T15:15:20Z","title":"A stability property for a mono-dimensional three velocities scheme with relative velocity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.12215","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":"sha256:3dc700ffd5d77b6010df682fb25b22e1afbfe18bf286e408e5dffa09d17c1613","target":"record","created_at":"2026-07-05T00:22:31Z","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":"71094747fe9a9737696bf28c6933d05e183838284eebbbd9e8382a3460e83b59","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-11-27T15:15:20Z","title_canon_sha256":"c47fca4a889a7ec6301fd43a069b8c38ab8993214f50c5b6c7c8443778b48069"},"schema_version":"1.0","source":{"id":"1911.12215","kind":"arxiv","version":1}},"canonical_sha256":"73e4453a69f5b5fa8e57e95263957eb060e7c911602980d3c8ab2fb6da3ef49f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73e4453a69f5b5fa8e57e95263957eb060e7c911602980d3c8ab2fb6da3ef49f","first_computed_at":"2026-07-05T00:22:31.617046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:22:31.617046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EqIFr5piIVKPwXcgw7RHB9s+0G+CABsT5PmybCpJjtG/g6g/idx4V/uuy26rtSECXJKdZM54qp+vEbSeeLbCDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:22:31.617475Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.12215","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3dc700ffd5d77b6010df682fb25b22e1afbfe18bf286e408e5dffa09d17c1613","sha256:9ba8d2ac15b303253ee608607436e3388c8eb051724db866d426a4df5192f5b3"],"state_sha256":"3b3c9ef24f28a93883e89f762140f5f993f24ac8236c72d1baaf5fa4c0727c1e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7nNCNq8aFYT8ZmUp+AaFvDb0WWxnNMRlgxObFsR7F4j8F8LUBP0K5yH6NcCHUvLkD76BRFMiwWMFWnsiwB41CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T12:09:34.125402Z","bundle_sha256":"bc9cb69ceb97a821a56daa24a5c42126ff26c0d5194e054d73d90a61f59b8a39"}}