{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:LKNPP7G74DDRVFQ53N5E4LPASV","short_pith_number":"pith:LKNPP7G7","canonical_record":{"source":{"id":"2605.21444","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-20T17:32:33Z","cross_cats_sorted":[],"title_canon_sha256":"76fb2e0cc306a42d2d7b25d95bcec8569d051b794d5cf07e26875bc2befb80d3","abstract_canon_sha256":"531fa0f93e7651b594632b1d24475c76d75b69b23c7b6fa0eca2295e10b27c9f"},"schema_version":"1.0"},"canonical_sha256":"5a9af7fcdfe0c71a961ddb7a4e2de0957f80772c2d3a1eec02637820693fba65","source":{"kind":"arxiv","id":"2605.21444","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21444","created_at":"2026-05-21T02:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21444v1","created_at":"2026-05-21T02:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21444","created_at":"2026-05-21T02:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"LKNPP7G74DDR","created_at":"2026-05-21T02:05:37Z"},{"alias_kind":"pith_short_16","alias_value":"LKNPP7G74DDRVFQ5","created_at":"2026-05-21T02:05:37Z"},{"alias_kind":"pith_short_8","alias_value":"LKNPP7G7","created_at":"2026-05-21T02:05:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:LKNPP7G74DDRVFQ53N5E4LPASV","target":"record","payload":{"canonical_record":{"source":{"id":"2605.21444","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-20T17:32:33Z","cross_cats_sorted":[],"title_canon_sha256":"76fb2e0cc306a42d2d7b25d95bcec8569d051b794d5cf07e26875bc2befb80d3","abstract_canon_sha256":"531fa0f93e7651b594632b1d24475c76d75b69b23c7b6fa0eca2295e10b27c9f"},"schema_version":"1.0"},"canonical_sha256":"5a9af7fcdfe0c71a961ddb7a4e2de0957f80772c2d3a1eec02637820693fba65","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T02:05:37.451813Z","signature_b64":"sYPmHQQxIaglcIZ/yDA0lU/juZuquZfDiRwxcguvUgQxxnJvm1sz7BrQ/xqBnrHQsKKSDStCcae2I9GmTFRPCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a9af7fcdfe0c71a961ddb7a4e2de0957f80772c2d3a1eec02637820693fba65","last_reissued_at":"2026-05-21T02:05:37.451039Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T02:05:37.451039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.21444","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":"2026-05-21T02:05:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"owS8QKPBSGtCfxBOoNVja+f1yC0uG/FakANKhg1FmN6SdqVhUbbTP3gB3L789jXCDWKAOFAwBtqCAhdr+Q1TAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T18:18:01.490990Z"},"content_sha256":"059cc025289c90dcd4483d07b6ffcfd6e5165c2330f8a958124580ab90bf09f7","schema_version":"1.0","event_id":"sha256:059cc025289c90dcd4483d07b6ffcfd6e5165c2330f8a958124580ab90bf09f7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:LKNPP7G74DDRVFQ53N5E4LPASV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Compression-Directional Entropic Stress Method for Shock-Regularized Compressible Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Bonan Xu, Chihyung Wen","submitted_at":"2026-05-20T17:32:33Z","abstract_excerpt":"We introduce the Compression-Directional Entropic Stress method (CoDeS), a finite-volume regularization for shock-dominated compressible flows. Inspired by information geometric regularization, CoDeS replaces scalar multidimensional entropic pressure with a tensor stress aligned with the principal directions of compression. The stress has the form $\\boldsymbol{\\Pi}_{\\Sigma}=\\sigma\\boldsymbol{M}$, where $\\sigma$ is obtained from a modified-Helmholtz equation and $\\boldsymbol{M}$ is constructed from the compressive eigenspace of the symmetric velocity-gradient tensor. The source is gated by volu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21444","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/2605.21444/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":"2026-05-21T02:05:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R0Xvq9dj4TxyZYe/tpZQ3LH+cNv4XEGEKmjKxPpb0ZcMVflC6sv4i8UuiQSAshcbo17F0oAAsS0WPyOQMkTCAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T18:18:01.491458Z"},"content_sha256":"64dff3536d53f04d9a953b4cc6161f65914c751120199a2e14e16841199bf0d4","schema_version":"1.0","event_id":"sha256:64dff3536d53f04d9a953b4cc6161f65914c751120199a2e14e16841199bf0d4"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:LKNPP7G74DDRVFQ53N5E4LPASV","target":"integrity","payload":{"note":"Identifier '10.48550/arxiv.2604.27286.arxiv:2604.27286' is syntactically valid but the DOI registry (doi.org) returned 404, and Crossref / OpenAlex / internal corpus also have no record. The cited work could not be located through any authoritative source.","snippet":"S. Taylor, R. J. Spiteri, S. Gaudreault, Thermodynamically constrained information geometric regularization for compressible flows, 2026. doi:10.48550/arXiv.2604.27286.arXiv:2604.27286","arxiv_id":"2605.21444","detector":"doi_compliance","evidence":{"doi":"10.48550/arxiv.2604.27286.arxiv:2604.27286","arxiv_id":null,"ref_index":30,"raw_excerpt":"S. Taylor, R. J. Spiteri, S. Gaudreault, Thermodynamically constrained information geometric regularization for compressible flows, 2026. doi:10.48550/arXiv.2604.27286.arXiv:2604.27286","verdict_class":"cross_source","checked_sources":["crossref_by_doi","openalex_by_doi","doi_org_head"]},"severity":"critical","ref_index":30,"audited_at":"2026-05-21T03:02:57.216502Z","event_type":"pith.integrity.v1","detected_doi":"10.48550/arxiv.2604.27286.arxiv:2604.27286","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"12f919f6596867209855631384fcdcdf2c300436b21256cbee9d833d7ed131d0","paper_version":1,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":5593,"payload_sha256":"43e94974c29aa42e52dbfe2b0a0ea34d900032b5689f15d5689c03e9f4d671fa","signature_b64":"ujiHKopSOXLs4iZGmOa7+XmxodscMAS4ClwfkY/3YRf6mBGycdHPtBlyaPrxM8uDh4QL6oLEqOX2zCXHvZh1BA==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-21T03:03:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"noNDMbsB2YEFdTdixmBxTyW2/gryyAeU7Gjo2/RclcVoO1L+6EmAtpciQRSrueu8WcsB2STgXiSVev8QsDbJAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T18:18:01.492585Z"},"content_sha256":"3e31e255e4a813c3e402622543b2d4a7f78987da3f554b9c6699f5702095fec5","schema_version":"1.0","event_id":"sha256:3e31e255e4a813c3e402622543b2d4a7f78987da3f554b9c6699f5702095fec5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LKNPP7G74DDRVFQ53N5E4LPASV/bundle.json","state_url":"https://pith.science/pith/LKNPP7G74DDRVFQ53N5E4LPASV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LKNPP7G74DDRVFQ53N5E4LPASV/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":"2026-05-21T18:18:01Z","links":{"resolver":"https://pith.science/pith/LKNPP7G74DDRVFQ53N5E4LPASV","bundle":"https://pith.science/pith/LKNPP7G74DDRVFQ53N5E4LPASV/bundle.json","state":"https://pith.science/pith/LKNPP7G74DDRVFQ53N5E4LPASV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LKNPP7G74DDRVFQ53N5E4LPASV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LKNPP7G74DDRVFQ53N5E4LPASV","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"531fa0f93e7651b594632b1d24475c76d75b69b23c7b6fa0eca2295e10b27c9f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-20T17:32:33Z","title_canon_sha256":"76fb2e0cc306a42d2d7b25d95bcec8569d051b794d5cf07e26875bc2befb80d3"},"schema_version":"1.0","source":{"id":"2605.21444","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21444","created_at":"2026-05-21T02:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21444v1","created_at":"2026-05-21T02:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21444","created_at":"2026-05-21T02:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"LKNPP7G74DDR","created_at":"2026-05-21T02:05:37Z"},{"alias_kind":"pith_short_16","alias_value":"LKNPP7G74DDRVFQ5","created_at":"2026-05-21T02:05:37Z"},{"alias_kind":"pith_short_8","alias_value":"LKNPP7G7","created_at":"2026-05-21T02:05:37Z"}],"graph_snapshots":[{"event_id":"sha256:64dff3536d53f04d9a953b4cc6161f65914c751120199a2e14e16841199bf0d4","target":"graph","created_at":"2026-05-21T02:05:37Z","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/2605.21444/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the Compression-Directional Entropic Stress method (CoDeS), a finite-volume regularization for shock-dominated compressible flows. Inspired by information geometric regularization, CoDeS replaces scalar multidimensional entropic pressure with a tensor stress aligned with the principal directions of compression. The stress has the form $\\boldsymbol{\\Pi}_{\\Sigma}=\\sigma\\boldsymbol{M}$, where $\\sigma$ is obtained from a modified-Helmholtz equation and $\\boldsymbol{M}$ is constructed from the compressive eigenspace of the symmetric velocity-gradient tensor. The source is gated by volu","authors_text":"Bonan Xu, Chihyung Wen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-20T17:32:33Z","title":"A Compression-Directional Entropic Stress Method for Shock-Regularized Compressible Flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21444","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":"sha256:059cc025289c90dcd4483d07b6ffcfd6e5165c2330f8a958124580ab90bf09f7","target":"record","created_at":"2026-05-21T02:05:37Z","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":"531fa0f93e7651b594632b1d24475c76d75b69b23c7b6fa0eca2295e10b27c9f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-20T17:32:33Z","title_canon_sha256":"76fb2e0cc306a42d2d7b25d95bcec8569d051b794d5cf07e26875bc2befb80d3"},"schema_version":"1.0","source":{"id":"2605.21444","kind":"arxiv","version":1}},"canonical_sha256":"5a9af7fcdfe0c71a961ddb7a4e2de0957f80772c2d3a1eec02637820693fba65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a9af7fcdfe0c71a961ddb7a4e2de0957f80772c2d3a1eec02637820693fba65","first_computed_at":"2026-05-21T02:05:37.451039Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T02:05:37.451039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sYPmHQQxIaglcIZ/yDA0lU/juZuquZfDiRwxcguvUgQxxnJvm1sz7BrQ/xqBnrHQsKKSDStCcae2I9GmTFRPCQ==","signature_status":"signed_v1","signed_at":"2026-05-21T02:05:37.451813Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21444","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:059cc025289c90dcd4483d07b6ffcfd6e5165c2330f8a958124580ab90bf09f7","sha256:64dff3536d53f04d9a953b4cc6161f65914c751120199a2e14e16841199bf0d4","sha256:3e31e255e4a813c3e402622543b2d4a7f78987da3f554b9c6699f5702095fec5"],"state_sha256":"1fcffe09a3fc8e2a2eef0b925d48de582b10cabb9ca86e8dcfbcb7ea68f237fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xeFaVQ5JGq8UCZUrtIOD+IPUJPU7NzyhsDqHzD7uIHqojf5YUvC1YT7ONLtblNOEmpaYZp6Ma89Sfozicwh+Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T18:18:01.495780Z","bundle_sha256":"af2a115fa19e44089ec00330d8a897042b96593d4b8694d52cac8c83e9453e5d"}}