{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:QVF4LDRSPV7IFI5ABFC2NR3BCE","short_pith_number":"pith:QVF4LDRS","canonical_record":{"source":{"id":"2504.15177","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-21T15:39:42Z","cross_cats_sorted":["cs.NA","math.OC","physics.flu-dyn"],"title_canon_sha256":"5bfd1fa1c641b39aa20df6b4b28adef537e4e489c8c874988bea15adf727e95d","abstract_canon_sha256":"adceedee2ee1f33466394e5bc3ccb3f10863cd750408a589d5a445d31a866269"},"schema_version":"1.0"},"canonical_sha256":"854bc58e327d7e82a3a00945a6c7611107b9155a26650fe6f28237ae256cbbb0","source":{"kind":"arxiv","id":"2504.15177","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.15177","created_at":"2026-07-05T10:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"2504.15177v1","created_at":"2026-07-05T10:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.15177","created_at":"2026-07-05T10:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"QVF4LDRSPV7I","created_at":"2026-07-05T10:51:57Z"},{"alias_kind":"pith_short_16","alias_value":"QVF4LDRSPV7IFI5A","created_at":"2026-07-05T10:51:57Z"},{"alias_kind":"pith_short_8","alias_value":"QVF4LDRS","created_at":"2026-07-05T10:51:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:QVF4LDRSPV7IFI5ABFC2NR3BCE","target":"record","payload":{"canonical_record":{"source":{"id":"2504.15177","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-21T15:39:42Z","cross_cats_sorted":["cs.NA","math.OC","physics.flu-dyn"],"title_canon_sha256":"5bfd1fa1c641b39aa20df6b4b28adef537e4e489c8c874988bea15adf727e95d","abstract_canon_sha256":"adceedee2ee1f33466394e5bc3ccb3f10863cd750408a589d5a445d31a866269"},"schema_version":"1.0"},"canonical_sha256":"854bc58e327d7e82a3a00945a6c7611107b9155a26650fe6f28237ae256cbbb0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:51:57.423086Z","signature_b64":"9K009+zZh6etgXuXY1g9yc9Vshcpz/dvztEoLiVFgiAhlkbrp4aY5brBYFL0nqa/oyNO2DyzFE14eCoYx7/PCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"854bc58e327d7e82a3a00945a6c7611107b9155a26650fe6f28237ae256cbbb0","last_reissued_at":"2026-07-05T10:51:57.422644Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:51:57.422644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.15177","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":"2026-07-05T10:51:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dJyPrMfNU+NjZsPEjhUw18fL6e+5dvav/dv51BhNoLDtbQlnXuITAZZbbryXhWXPIJtV+4PWh9j7TkAO+WMLAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-13T08:56:34.926923Z"},"content_sha256":"fd4fc7dcb12addcf114404dac942cb427817b45e195249f424266a8819f82f11","schema_version":"1.0","event_id":"sha256:fd4fc7dcb12addcf114404dac942cb427817b45e195249f424266a8819f82f11"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:QVF4LDRSPV7IFI5ABFC2NR3BCE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An $rp$-adaptive method for accurate resolution of shock-dominated viscous flow based on implicit shock tracking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.OC","physics.flu-dyn"],"primary_cat":"math.NA","authors_text":"Huijing Dong, Masayuki Yano, Matthew J. Zahr, Tianci Huang","submitted_at":"2025-04-21T15:39:42Z","abstract_excerpt":"This work introduces an optimization-based $rp$-adaptive numerical method to approximate solutions of viscous, shock-dominated flows using implicit shock tracking and a high-order discontinuous Galerkin discretization on traditionally coarse grids without nonlinear stabilization (e.g., artificial viscosity or limiting). The proposed method adapts implicit shock tracking methods, originally developed to align mesh faces with solution discontinuities, to compress elements into viscous shocks and boundary layers, functioning as a novel approach to aggressive $r$-adaptation. This form of $r$-adapt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.15177","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/2504.15177/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":"2026-07-05T10:51:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4K7uWKw6iEATZBX5U7hV1Xl2cMuneZcE452OO7HMYWH4hNi9pz8tlAA0hS4w5F+TRhRnkDVvmQXqpbqGcswHAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-13T08:56:34.927293Z"},"content_sha256":"540d311bba6c7eeafde2bb40c9481a48b3cc77a8dd1104714ee06f5c55b46e6d","schema_version":"1.0","event_id":"sha256:540d311bba6c7eeafde2bb40c9481a48b3cc77a8dd1104714ee06f5c55b46e6d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QVF4LDRSPV7IFI5ABFC2NR3BCE/bundle.json","state_url":"https://pith.science/pith/QVF4LDRSPV7IFI5ABFC2NR3BCE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QVF4LDRSPV7IFI5ABFC2NR3BCE/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":"2026-07-13T08:56:34Z","links":{"resolver":"https://pith.science/pith/QVF4LDRSPV7IFI5ABFC2NR3BCE","bundle":"https://pith.science/pith/QVF4LDRSPV7IFI5ABFC2NR3BCE/bundle.json","state":"https://pith.science/pith/QVF4LDRSPV7IFI5ABFC2NR3BCE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QVF4LDRSPV7IFI5ABFC2NR3BCE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:QVF4LDRSPV7IFI5ABFC2NR3BCE","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":"adceedee2ee1f33466394e5bc3ccb3f10863cd750408a589d5a445d31a866269","cross_cats_sorted":["cs.NA","math.OC","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-21T15:39:42Z","title_canon_sha256":"5bfd1fa1c641b39aa20df6b4b28adef537e4e489c8c874988bea15adf727e95d"},"schema_version":"1.0","source":{"id":"2504.15177","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.15177","created_at":"2026-07-05T10:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"2504.15177v1","created_at":"2026-07-05T10:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.15177","created_at":"2026-07-05T10:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"QVF4LDRSPV7I","created_at":"2026-07-05T10:51:57Z"},{"alias_kind":"pith_short_16","alias_value":"QVF4LDRSPV7IFI5A","created_at":"2026-07-05T10:51:57Z"},{"alias_kind":"pith_short_8","alias_value":"QVF4LDRS","created_at":"2026-07-05T10:51:57Z"}],"graph_snapshots":[{"event_id":"sha256:540d311bba6c7eeafde2bb40c9481a48b3cc77a8dd1104714ee06f5c55b46e6d","target":"graph","created_at":"2026-07-05T10:51:57Z","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/2504.15177/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work introduces an optimization-based $rp$-adaptive numerical method to approximate solutions of viscous, shock-dominated flows using implicit shock tracking and a high-order discontinuous Galerkin discretization on traditionally coarse grids without nonlinear stabilization (e.g., artificial viscosity or limiting). The proposed method adapts implicit shock tracking methods, originally developed to align mesh faces with solution discontinuities, to compress elements into viscous shocks and boundary layers, functioning as a novel approach to aggressive $r$-adaptation. This form of $r$-adapt","authors_text":"Huijing Dong, Masayuki Yano, Matthew J. Zahr, Tianci Huang","cross_cats":["cs.NA","math.OC","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-21T15:39:42Z","title":"An $rp$-adaptive method for accurate resolution of shock-dominated viscous flow based on implicit shock tracking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.15177","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:fd4fc7dcb12addcf114404dac942cb427817b45e195249f424266a8819f82f11","target":"record","created_at":"2026-07-05T10:51:57Z","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":"adceedee2ee1f33466394e5bc3ccb3f10863cd750408a589d5a445d31a866269","cross_cats_sorted":["cs.NA","math.OC","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-21T15:39:42Z","title_canon_sha256":"5bfd1fa1c641b39aa20df6b4b28adef537e4e489c8c874988bea15adf727e95d"},"schema_version":"1.0","source":{"id":"2504.15177","kind":"arxiv","version":1}},"canonical_sha256":"854bc58e327d7e82a3a00945a6c7611107b9155a26650fe6f28237ae256cbbb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"854bc58e327d7e82a3a00945a6c7611107b9155a26650fe6f28237ae256cbbb0","first_computed_at":"2026-07-05T10:51:57.422644Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:51:57.422644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9K009+zZh6etgXuXY1g9yc9Vshcpz/dvztEoLiVFgiAhlkbrp4aY5brBYFL0nqa/oyNO2DyzFE14eCoYx7/PCg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:51:57.423086Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.15177","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd4fc7dcb12addcf114404dac942cb427817b45e195249f424266a8819f82f11","sha256:540d311bba6c7eeafde2bb40c9481a48b3cc77a8dd1104714ee06f5c55b46e6d"],"state_sha256":"5b8db9841bfbba2a472ce9b19a28b2e018b3b50445ada53b998d7673faad060d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kz117DvNr7khUe7Ro2zPX3gwGslcyUSlXaqe3k/fGV4+Rp9R9nkL5DAdgjZkK7jSI5fgwWHR0JmdAHK7UD9HBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-13T08:56:34.929433Z","bundle_sha256":"1981856b93b30c28b3ca18a398b385ea2339696cf5f0c203686a00d2a816e936"}}