{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:Y3ROVN5SAM4SAOZ5LYZ3IUGAIX","short_pith_number":"pith:Y3ROVN5S","canonical_record":{"source":{"id":"2103.02903","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-03-04T09:13:08Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"1a389d5794e9bddb51494daf11191f57e459f65e58e9ad1f1da543c56ab5154e","abstract_canon_sha256":"933f3e4f2b5d48623375aaedbc8048d4242f9a3ee2ac7d1b86077554ad6bdd61"},"schema_version":"1.0"},"canonical_sha256":"c6e2eab7b20339203b3d5e33b450c045fdefb046cf892fa106f744796637dd11","source":{"kind":"arxiv","id":"2103.02903","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.02903","created_at":"2026-07-05T05:07:32Z"},{"alias_kind":"arxiv_version","alias_value":"2103.02903v2","created_at":"2026-07-05T05:07:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.02903","created_at":"2026-07-05T05:07:32Z"},{"alias_kind":"pith_short_12","alias_value":"Y3ROVN5SAM4S","created_at":"2026-07-05T05:07:32Z"},{"alias_kind":"pith_short_16","alias_value":"Y3ROVN5SAM4SAOZ5","created_at":"2026-07-05T05:07:32Z"},{"alias_kind":"pith_short_8","alias_value":"Y3ROVN5S","created_at":"2026-07-05T05:07:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:Y3ROVN5SAM4SAOZ5LYZ3IUGAIX","target":"record","payload":{"canonical_record":{"source":{"id":"2103.02903","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-03-04T09:13:08Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"1a389d5794e9bddb51494daf11191f57e459f65e58e9ad1f1da543c56ab5154e","abstract_canon_sha256":"933f3e4f2b5d48623375aaedbc8048d4242f9a3ee2ac7d1b86077554ad6bdd61"},"schema_version":"1.0"},"canonical_sha256":"c6e2eab7b20339203b3d5e33b450c045fdefb046cf892fa106f744796637dd11","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:07:32.966769Z","signature_b64":"Dp2Eg+p6gcGyTluDcNjkFFbKVmpczSZnJFJVrJYZ8LSNgd/GkfpWkiutwZ1zhjkOyDV7yR123BQe7xFYz08TBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6e2eab7b20339203b3d5e33b450c045fdefb046cf892fa106f744796637dd11","last_reissued_at":"2026-07-05T05:07:32.966382Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:07:32.966382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.02903","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":"2026-07-05T05:07:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mYf/7G/0dP3Lt+22YBm2BjbeSB0/P/JqKtq6Gqs6gcUwi9XvdKuL1hJtUSqgcNCwXADDNhldK8jT2+SX0yBdCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T02:52:48.478881Z"},"content_sha256":"3353b770a3f457308ce38dd519e7921af01d9dc0b8ad362ff088eb86563ca696","schema_version":"1.0","event_id":"sha256:3353b770a3f457308ce38dd519e7921af01d9dc0b8ad362ff088eb86563ca696"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:Y3ROVN5SAM4SAOZ5LYZ3IUGAIX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Benjamin Graille (LMO), Lo\\\"ic Gouarin (CMAP), Marc Massot (CMAP), Thomas Bellotti (CMAP)","submitted_at":"2021-03-04T09:13:08Z","abstract_excerpt":"Lattice-Boltzmann methods are known for their simplicity, efficiency and ease of parallelization, usually relying on uniform Cartesian meshes with a strong bond between spatial and temporal discretization. This fact complicates the crucial issue of reducing the computational cost and the memory impact by automatically coarsening the grid where a fine mesh is unnecessary, still ensuring the overall quality of the numerical solution through error control. This work provides a possible answer to this interesting question, by connecting, for the first time, the field of lattice-Boltzmann Methods ("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.02903","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.02903/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":"2026-07-05T05:07:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gXYciL92ROLnH9K1yF7DgZemyuFwuigTU4Nz9BdFcCxHFAN1tHNO3MeKFFI0wTV637kjyHeUUzyw5khDCi/yCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T02:52:48.479752Z"},"content_sha256":"6308b56005eacf99afff58ffb612128bcab652b5eede19bf93abcc476016504b","schema_version":"1.0","event_id":"sha256:6308b56005eacf99afff58ffb612128bcab652b5eede19bf93abcc476016504b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y3ROVN5SAM4SAOZ5LYZ3IUGAIX/bundle.json","state_url":"https://pith.science/pith/Y3ROVN5SAM4SAOZ5LYZ3IUGAIX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y3ROVN5SAM4SAOZ5LYZ3IUGAIX/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":"2026-08-01T02:52:48Z","links":{"resolver":"https://pith.science/pith/Y3ROVN5SAM4SAOZ5LYZ3IUGAIX","bundle":"https://pith.science/pith/Y3ROVN5SAM4SAOZ5LYZ3IUGAIX/bundle.json","state":"https://pith.science/pith/Y3ROVN5SAM4SAOZ5LYZ3IUGAIX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y3ROVN5SAM4SAOZ5LYZ3IUGAIX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:Y3ROVN5SAM4SAOZ5LYZ3IUGAIX","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":"933f3e4f2b5d48623375aaedbc8048d4242f9a3ee2ac7d1b86077554ad6bdd61","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-03-04T09:13:08Z","title_canon_sha256":"1a389d5794e9bddb51494daf11191f57e459f65e58e9ad1f1da543c56ab5154e"},"schema_version":"1.0","source":{"id":"2103.02903","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.02903","created_at":"2026-07-05T05:07:32Z"},{"alias_kind":"arxiv_version","alias_value":"2103.02903v2","created_at":"2026-07-05T05:07:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.02903","created_at":"2026-07-05T05:07:32Z"},{"alias_kind":"pith_short_12","alias_value":"Y3ROVN5SAM4S","created_at":"2026-07-05T05:07:32Z"},{"alias_kind":"pith_short_16","alias_value":"Y3ROVN5SAM4SAOZ5","created_at":"2026-07-05T05:07:32Z"},{"alias_kind":"pith_short_8","alias_value":"Y3ROVN5S","created_at":"2026-07-05T05:07:32Z"}],"graph_snapshots":[{"event_id":"sha256:6308b56005eacf99afff58ffb612128bcab652b5eede19bf93abcc476016504b","target":"graph","created_at":"2026-07-05T05:07:32Z","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/2103.02903/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Lattice-Boltzmann methods are known for their simplicity, efficiency and ease of parallelization, usually relying on uniform Cartesian meshes with a strong bond between spatial and temporal discretization. This fact complicates the crucial issue of reducing the computational cost and the memory impact by automatically coarsening the grid where a fine mesh is unnecessary, still ensuring the overall quality of the numerical solution through error control. This work provides a possible answer to this interesting question, by connecting, for the first time, the field of lattice-Boltzmann Methods (","authors_text":"Benjamin Graille (LMO), Lo\\\"ic Gouarin (CMAP), Marc Massot (CMAP), Thomas Bellotti (CMAP)","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-03-04T09:13:08Z","title":"Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.02903","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":"sha256:3353b770a3f457308ce38dd519e7921af01d9dc0b8ad362ff088eb86563ca696","target":"record","created_at":"2026-07-05T05:07:32Z","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":"933f3e4f2b5d48623375aaedbc8048d4242f9a3ee2ac7d1b86077554ad6bdd61","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-03-04T09:13:08Z","title_canon_sha256":"1a389d5794e9bddb51494daf11191f57e459f65e58e9ad1f1da543c56ab5154e"},"schema_version":"1.0","source":{"id":"2103.02903","kind":"arxiv","version":2}},"canonical_sha256":"c6e2eab7b20339203b3d5e33b450c045fdefb046cf892fa106f744796637dd11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6e2eab7b20339203b3d5e33b450c045fdefb046cf892fa106f744796637dd11","first_computed_at":"2026-07-05T05:07:32.966382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:07:32.966382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dp2Eg+p6gcGyTluDcNjkFFbKVmpczSZnJFJVrJYZ8LSNgd/GkfpWkiutwZ1zhjkOyDV7yR123BQe7xFYz08TBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:07:32.966769Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.02903","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3353b770a3f457308ce38dd519e7921af01d9dc0b8ad362ff088eb86563ca696","sha256:6308b56005eacf99afff58ffb612128bcab652b5eede19bf93abcc476016504b"],"state_sha256":"0f343dbd6f6fe8dd0ee6220110bf3929fd411a7b6d60a1c1aa66cf539197881f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rn3Qqh7/iSD635Ozp1lbGcvlqlfQ47k2TrIxtZEY0IZDT44UDRMxoYrFlJhX3JIyAQz703KFvEYR9VLHp0sgBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T02:52:48.485262Z","bundle_sha256":"f9b060985f5c637416b79a5dbe7b71d68d26d6e2acb1430adda862959b45fb2e"}}