{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:WTTWBSC7JER3ZBSS2AKSRBKO5W","short_pith_number":"pith:WTTWBSC7","canonical_record":{"source":{"id":"2607.24059","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-07-27T06:59:40Z","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"title_canon_sha256":"d8eef254a8a36da8ee6266399f454af6c88c6f7cc92aecd1404bf72827b0a2d2","abstract_canon_sha256":"03842c8a839e442f69f518be8762d3d5b3833b3cb2a5286c53b1b4f2b14ea8ed"},"schema_version":"1.0"},"canonical_sha256":"b4e760c85f4923bc8652d01528854eedafe79c93f8000b4bfd226db3e26f786b","source":{"kind":"arxiv","id":"2607.24059","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24059","created_at":"2026-07-28T01:23:43Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24059v1","created_at":"2026-07-28T01:23:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24059","created_at":"2026-07-28T01:23:43Z"},{"alias_kind":"pith_short_12","alias_value":"WTTWBSC7JER3","created_at":"2026-07-28T01:23:43Z"},{"alias_kind":"pith_short_16","alias_value":"WTTWBSC7JER3ZBSS","created_at":"2026-07-28T01:23:43Z"},{"alias_kind":"pith_short_8","alias_value":"WTTWBSC7","created_at":"2026-07-28T01:23:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:WTTWBSC7JER3ZBSS2AKSRBKO5W","target":"record","payload":{"canonical_record":{"source":{"id":"2607.24059","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-07-27T06:59:40Z","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"title_canon_sha256":"d8eef254a8a36da8ee6266399f454af6c88c6f7cc92aecd1404bf72827b0a2d2","abstract_canon_sha256":"03842c8a839e442f69f518be8762d3d5b3833b3cb2a5286c53b1b4f2b14ea8ed"},"schema_version":"1.0"},"canonical_sha256":"b4e760c85f4923bc8652d01528854eedafe79c93f8000b4bfd226db3e26f786b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T01:23:43.368038Z","signature_b64":"edzS1cH+q7STi76jzueROvLuE7XEBhALBjOdZoB5ABpWdwlLK+81NxJE8i5wIfHscx7fdWWKEApnluuU/HSrAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4e760c85f4923bc8652d01528854eedafe79c93f8000b4bfd226db3e26f786b","last_reissued_at":"2026-07-28T01:23:43.367220Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T01:23:43.367220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.24059","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":"2026-07-28T01:23:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v4uGJb0wqck3NynRgv9AzCjBZ87/XZfdKP7NG6nnJrRRl3RcdUB8HnPhMVY7Xue7W6SZw6byHopuSab4K3SXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T17:52:58.711910Z"},"content_sha256":"7793fd8246f06bc35406b83b6b8543bdd6b2d680632328096b185cd0a5a606ed","schema_version":"1.0","event_id":"sha256:7793fd8246f06bc35406b83b6b8543bdd6b2d680632328096b185cd0a5a606ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:WTTWBSC7JER3ZBSS2AKSRBKO5W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","physics.flu-dyn"],"primary_cat":"math.NA","authors_text":"Bordeaux INP), Denise Aregba-Driollet (IMB, LJAD), Roberto Natalini, Thomas Bellotti (EM2C), Tommaso Tenna (UNIROMA, UniCA","submitted_at":"2026-07-27T06:59:40Z","abstract_excerpt":"We introduce a second-order accurate vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes system, inspired by a discrete-velocity kinetic approximation proposed by Carfora and Natalini [ESAIM: M2AN, 42(1), 93-112, 2008]. Advantages and drawbacks compared to relaxation schemes are investigated by providing spectral analyses in the linearized case, and numerical validations on the genuinely non-linear problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24059","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/2607.24059/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":"2026-07-28T01:23:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jBm6TBQw2BuBJf7/RFz/M2yMhh2RCGHAtgk5iIeGzHGdolko6LP7T7fhtliHME5G5EUYsHhKb0rnTrSGr0X5DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T17:52:58.712843Z"},"content_sha256":"7824d8adc80d02908236e260790dd92dd8ef97af439e2f8cacf559e62743292f","schema_version":"1.0","event_id":"sha256:7824d8adc80d02908236e260790dd92dd8ef97af439e2f8cacf559e62743292f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WTTWBSC7JER3ZBSS2AKSRBKO5W/bundle.json","state_url":"https://pith.science/pith/WTTWBSC7JER3ZBSS2AKSRBKO5W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WTTWBSC7JER3ZBSS2AKSRBKO5W/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":"2026-08-16T17:52:58Z","links":{"resolver":"https://pith.science/pith/WTTWBSC7JER3ZBSS2AKSRBKO5W","bundle":"https://pith.science/pith/WTTWBSC7JER3ZBSS2AKSRBKO5W/bundle.json","state":"https://pith.science/pith/WTTWBSC7JER3ZBSS2AKSRBKO5W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WTTWBSC7JER3ZBSS2AKSRBKO5W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:WTTWBSC7JER3ZBSS2AKSRBKO5W","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":"03842c8a839e442f69f518be8762d3d5b3833b3cb2a5286c53b1b4f2b14ea8ed","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-07-27T06:59:40Z","title_canon_sha256":"d8eef254a8a36da8ee6266399f454af6c88c6f7cc92aecd1404bf72827b0a2d2"},"schema_version":"1.0","source":{"id":"2607.24059","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24059","created_at":"2026-07-28T01:23:43Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24059v1","created_at":"2026-07-28T01:23:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24059","created_at":"2026-07-28T01:23:43Z"},{"alias_kind":"pith_short_12","alias_value":"WTTWBSC7JER3","created_at":"2026-07-28T01:23:43Z"},{"alias_kind":"pith_short_16","alias_value":"WTTWBSC7JER3ZBSS","created_at":"2026-07-28T01:23:43Z"},{"alias_kind":"pith_short_8","alias_value":"WTTWBSC7","created_at":"2026-07-28T01:23:43Z"}],"graph_snapshots":[{"event_id":"sha256:7824d8adc80d02908236e260790dd92dd8ef97af439e2f8cacf559e62743292f","target":"graph","created_at":"2026-07-28T01:23:43Z","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/2607.24059/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a second-order accurate vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes system, inspired by a discrete-velocity kinetic approximation proposed by Carfora and Natalini [ESAIM: M2AN, 42(1), 93-112, 2008]. Advantages and drawbacks compared to relaxation schemes are investigated by providing spectral analyses in the linearized case, and numerical validations on the genuinely non-linear problem.","authors_text":"Bordeaux INP), Denise Aregba-Driollet (IMB, LJAD), Roberto Natalini, Thomas Bellotti (EM2C), Tommaso Tenna (UNIROMA, UniCA","cross_cats":["cs.NA","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-07-27T06:59:40Z","title":"A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24059","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":"sha256:7793fd8246f06bc35406b83b6b8543bdd6b2d680632328096b185cd0a5a606ed","target":"record","created_at":"2026-07-28T01:23:43Z","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":"03842c8a839e442f69f518be8762d3d5b3833b3cb2a5286c53b1b4f2b14ea8ed","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-07-27T06:59:40Z","title_canon_sha256":"d8eef254a8a36da8ee6266399f454af6c88c6f7cc92aecd1404bf72827b0a2d2"},"schema_version":"1.0","source":{"id":"2607.24059","kind":"arxiv","version":1}},"canonical_sha256":"b4e760c85f4923bc8652d01528854eedafe79c93f8000b4bfd226db3e26f786b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4e760c85f4923bc8652d01528854eedafe79c93f8000b4bfd226db3e26f786b","first_computed_at":"2026-07-28T01:23:43.367220Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T01:23:43.367220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"edzS1cH+q7STi76jzueROvLuE7XEBhALBjOdZoB5ABpWdwlLK+81NxJE8i5wIfHscx7fdWWKEApnluuU/HSrAw==","signature_status":"signed_v1","signed_at":"2026-07-28T01:23:43.368038Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.24059","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7793fd8246f06bc35406b83b6b8543bdd6b2d680632328096b185cd0a5a606ed","sha256:7824d8adc80d02908236e260790dd92dd8ef97af439e2f8cacf559e62743292f"],"state_sha256":"1e58fb2b79ccef9f5e7ed5b939c39f1b96028630613826d613cf6e4311b55adc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GnrX6lGhVghMnazgDSKszG0q5KLG4vy9mGvIzjAGXKUat9gNWy7G2e+W+xsrZuDQ6aezrU4xgRNrESQK0RTtDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T17:52:58.726437Z","bundle_sha256":"a8690be4fb07f2c211bcb01ffe55e5ef9521c15035b0f8953fcf39392de87179"}}