{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:MTQQ6GFRBVT37SGSJH7TC5J2A5","short_pith_number":"pith:MTQQ6GFR","canonical_record":{"source":{"id":"2606.00641","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-30T09:37:10Z","cross_cats_sorted":["physics.comp-ph","physics.plasm-ph"],"title_canon_sha256":"a89facea79ddd698d4b068cf79272b6bc99d9d941e847c6b732d3dfc51079cdd","abstract_canon_sha256":"5f4ab5afab877fee56e4d0ac2d0b2062c3567db328749af1f06f344f31422cc8"},"schema_version":"1.0"},"canonical_sha256":"64e10f18b10d67bfc8d249ff31753a07695f1c03ec8eb28c785f17ffbd4875d4","source":{"kind":"arxiv","id":"2606.00641","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.00641","created_at":"2026-06-02T01:04:00Z"},{"alias_kind":"arxiv_version","alias_value":"2606.00641v1","created_at":"2026-06-02T01:04:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.00641","created_at":"2026-06-02T01:04:00Z"},{"alias_kind":"pith_short_12","alias_value":"MTQQ6GFRBVT3","created_at":"2026-06-02T01:04:00Z"},{"alias_kind":"pith_short_16","alias_value":"MTQQ6GFRBVT37SGS","created_at":"2026-06-02T01:04:00Z"},{"alias_kind":"pith_short_8","alias_value":"MTQQ6GFR","created_at":"2026-06-02T01:04:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:MTQQ6GFRBVT37SGSJH7TC5J2A5","target":"record","payload":{"canonical_record":{"source":{"id":"2606.00641","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-30T09:37:10Z","cross_cats_sorted":["physics.comp-ph","physics.plasm-ph"],"title_canon_sha256":"a89facea79ddd698d4b068cf79272b6bc99d9d941e847c6b732d3dfc51079cdd","abstract_canon_sha256":"5f4ab5afab877fee56e4d0ac2d0b2062c3567db328749af1f06f344f31422cc8"},"schema_version":"1.0"},"canonical_sha256":"64e10f18b10d67bfc8d249ff31753a07695f1c03ec8eb28c785f17ffbd4875d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:04:00.663495Z","signature_b64":"r+RunljpOHV08hI640WbY8cF3wrdKQ6U/3M4q6k0yf+H2Av1YnU1LmX6HRSuecsKPINpu6T2/zB7pnply0tcCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64e10f18b10d67bfc8d249ff31753a07695f1c03ec8eb28c785f17ffbd4875d4","last_reissued_at":"2026-06-02T01:04:00.663053Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:04:00.663053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.00641","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":"2026-06-02T01:04:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AE5WHnH2KS+4yKq68PK1y75arHrzRo0oK4ZHyHiIA6KHO7cZGFOdWL0RLe14q2zvmbrryQYOFFTEfV1OFVsHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:32:37.275395Z"},"content_sha256":"57244a312869d620e0bec53adc6d50e648965de127640e10518f187afe5c5666","schema_version":"1.0","event_id":"sha256:57244a312869d620e0bec53adc6d50e648965de127640e10518f187afe5c5666"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:MTQQ6GFRBVT37SGSJH7TC5J2A5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lattice Boltzmann Methods for Compressible (Magneto)hydrodynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph","physics.plasm-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Adrian Kummerl\\\"ander, Fedor Bukreev, Mathias J. Krause","submitted_at":"2026-05-30T09:37:10Z","abstract_excerpt":"The simulation of magnetohydrodynamic (MHD) flows presents a highly complex, tightly coupled transport problem that poses severe numerical and computational demands. Towards this, we propose a novel class of Lattice Boltzmann Methods (LBM) schemes capable of solving a wide range of transport equation systems with high computational efficiency and scalability. Our approach exploits the algorithmic structure of kinetic formulations to separately transport all state variables of Strang-splitted conservation equations alongside their characteristics, yielding decoupled, fully local operations.\n  T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.00641","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/2606.00641/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":"2026-06-02T01:04:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ek1td9FKscz0OXrHNJlAMYUIuHHtW3rrKQLuuZb1+5sSKI7T5I0FDaF8mSjg2cNMja8/6CQ7nl25UxpZO+ftBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:32:37.276148Z"},"content_sha256":"8aa616d6c6c7cbeba41ecc07be1e208daa4b38b7b7d5528e99159dad466614f8","schema_version":"1.0","event_id":"sha256:8aa616d6c6c7cbeba41ecc07be1e208daa4b38b7b7d5528e99159dad466614f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MTQQ6GFRBVT37SGSJH7TC5J2A5/bundle.json","state_url":"https://pith.science/pith/MTQQ6GFRBVT37SGSJH7TC5J2A5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MTQQ6GFRBVT37SGSJH7TC5J2A5/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":"2026-06-07T17:32:37Z","links":{"resolver":"https://pith.science/pith/MTQQ6GFRBVT37SGSJH7TC5J2A5","bundle":"https://pith.science/pith/MTQQ6GFRBVT37SGSJH7TC5J2A5/bundle.json","state":"https://pith.science/pith/MTQQ6GFRBVT37SGSJH7TC5J2A5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MTQQ6GFRBVT37SGSJH7TC5J2A5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MTQQ6GFRBVT37SGSJH7TC5J2A5","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":"5f4ab5afab877fee56e4d0ac2d0b2062c3567db328749af1f06f344f31422cc8","cross_cats_sorted":["physics.comp-ph","physics.plasm-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-30T09:37:10Z","title_canon_sha256":"a89facea79ddd698d4b068cf79272b6bc99d9d941e847c6b732d3dfc51079cdd"},"schema_version":"1.0","source":{"id":"2606.00641","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.00641","created_at":"2026-06-02T01:04:00Z"},{"alias_kind":"arxiv_version","alias_value":"2606.00641v1","created_at":"2026-06-02T01:04:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.00641","created_at":"2026-06-02T01:04:00Z"},{"alias_kind":"pith_short_12","alias_value":"MTQQ6GFRBVT3","created_at":"2026-06-02T01:04:00Z"},{"alias_kind":"pith_short_16","alias_value":"MTQQ6GFRBVT37SGS","created_at":"2026-06-02T01:04:00Z"},{"alias_kind":"pith_short_8","alias_value":"MTQQ6GFR","created_at":"2026-06-02T01:04:00Z"}],"graph_snapshots":[{"event_id":"sha256:8aa616d6c6c7cbeba41ecc07be1e208daa4b38b7b7d5528e99159dad466614f8","target":"graph","created_at":"2026-06-02T01:04:00Z","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/2606.00641/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The simulation of magnetohydrodynamic (MHD) flows presents a highly complex, tightly coupled transport problem that poses severe numerical and computational demands. Towards this, we propose a novel class of Lattice Boltzmann Methods (LBM) schemes capable of solving a wide range of transport equation systems with high computational efficiency and scalability. Our approach exploits the algorithmic structure of kinetic formulations to separately transport all state variables of Strang-splitted conservation equations alongside their characteristics, yielding decoupled, fully local operations.\n  T","authors_text":"Adrian Kummerl\\\"ander, Fedor Bukreev, Mathias J. Krause","cross_cats":["physics.comp-ph","physics.plasm-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-30T09:37:10Z","title":"Lattice Boltzmann Methods for Compressible (Magneto)hydrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.00641","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":"sha256:57244a312869d620e0bec53adc6d50e648965de127640e10518f187afe5c5666","target":"record","created_at":"2026-06-02T01:04:00Z","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":"5f4ab5afab877fee56e4d0ac2d0b2062c3567db328749af1f06f344f31422cc8","cross_cats_sorted":["physics.comp-ph","physics.plasm-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-30T09:37:10Z","title_canon_sha256":"a89facea79ddd698d4b068cf79272b6bc99d9d941e847c6b732d3dfc51079cdd"},"schema_version":"1.0","source":{"id":"2606.00641","kind":"arxiv","version":1}},"canonical_sha256":"64e10f18b10d67bfc8d249ff31753a07695f1c03ec8eb28c785f17ffbd4875d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64e10f18b10d67bfc8d249ff31753a07695f1c03ec8eb28c785f17ffbd4875d4","first_computed_at":"2026-06-02T01:04:00.663053Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T01:04:00.663053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r+RunljpOHV08hI640WbY8cF3wrdKQ6U/3M4q6k0yf+H2Av1YnU1LmX6HRSuecsKPINpu6T2/zB7pnply0tcCg==","signature_status":"signed_v1","signed_at":"2026-06-02T01:04:00.663495Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.00641","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57244a312869d620e0bec53adc6d50e648965de127640e10518f187afe5c5666","sha256:8aa616d6c6c7cbeba41ecc07be1e208daa4b38b7b7d5528e99159dad466614f8"],"state_sha256":"92259291d9d85b6a3b97574d77c28828de993b2cf6a3689619859a76939a8dba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M1lxKwUcO683mVDIWA10cegfE5Z5xc3HoXZN77p5Shu1Cs17D3gZlnyxHVSbCbWMuB9pFzhUeduiD7zEXRo8DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T17:32:37.280716Z","bundle_sha256":"b1c11056e9d33c91b2348473ccdda8fb1e9b15550a116fdba91d304ecf7cdb0d"}}