{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:PAO4JSSQ4K5FXKGQCK4G324JA2","short_pith_number":"pith:PAO4JSSQ","canonical_record":{"source":{"id":"2003.09223","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2020-03-20T12:19:58Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"4eb04ebdefe9d6eb2525829c860b801783be504d922f62a54739e270d2ffd954","abstract_canon_sha256":"c36f1804d9625f528bc04aa5623e8b0f59f4edf7bea7a3818e6700e442aa82e2"},"schema_version":"1.0"},"canonical_sha256":"781dc4ca50e2ba5ba8d012b86deb8906b42a958736383d672e34344c4c49fc07","source":{"kind":"arxiv","id":"2003.09223","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.09223","created_at":"2026-07-05T00:49:30Z"},{"alias_kind":"arxiv_version","alias_value":"2003.09223v1","created_at":"2026-07-05T00:49:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.09223","created_at":"2026-07-05T00:49:30Z"},{"alias_kind":"pith_short_12","alias_value":"PAO4JSSQ4K5F","created_at":"2026-07-05T00:49:30Z"},{"alias_kind":"pith_short_16","alias_value":"PAO4JSSQ4K5FXKGQ","created_at":"2026-07-05T00:49:30Z"},{"alias_kind":"pith_short_8","alias_value":"PAO4JSSQ","created_at":"2026-07-05T00:49:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:PAO4JSSQ4K5FXKGQCK4G324JA2","target":"record","payload":{"canonical_record":{"source":{"id":"2003.09223","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2020-03-20T12:19:58Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"4eb04ebdefe9d6eb2525829c860b801783be504d922f62a54739e270d2ffd954","abstract_canon_sha256":"c36f1804d9625f528bc04aa5623e8b0f59f4edf7bea7a3818e6700e442aa82e2"},"schema_version":"1.0"},"canonical_sha256":"781dc4ca50e2ba5ba8d012b86deb8906b42a958736383d672e34344c4c49fc07","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:49:30.293231Z","signature_b64":"mpTqpqA2hDWExzfOH+fbgkmcbBcXjjZISbhnQjM69e6z+NgHm9Ny28x0zZXWhyjkCjrmVPk59GbBsM64viTmDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"781dc4ca50e2ba5ba8d012b86deb8906b42a958736383d672e34344c4c49fc07","last_reissued_at":"2026-07-05T00:49:30.292897Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:49:30.292897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2003.09223","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":"2026-07-05T00:49:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JVAAlyH3ljS/8LKGC9Ag+POrLMrqf8l512JLMXGg6+MyyxankwcoxMsQ/O2PQq+Bm9Buk1fuSpRNS4etcZmLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T01:45:32.831035Z"},"content_sha256":"39e4a1f80ffc520ad7a1b8fbf49160a6bf877221e05418e859a2eaab673b7ddd","schema_version":"1.0","event_id":"sha256:39e4a1f80ffc520ad7a1b8fbf49160a6bf877221e05418e859a2eaab673b7ddd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:PAO4JSSQ4K5FXKGQCK4G324JA2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discontinuity-resolving shock-capturing schemes on unstructured grids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"physics.comp-ph","authors_text":"Bin Xie, Feng Xiao, Lidong Cheng, Xi Deng, Yi Jiang","submitted_at":"2020-03-20T12:19:58Z","abstract_excerpt":"Solving compressible flows containing discontinuities remains a major challenge for numerical methods especially on unstructured grids. Thus in this work, we make contributions to shock capturing schemes on unstructured grids with aim of resolving discontinuities with low numerical dissipation. Different from conventional shock capturing schemes which only use polynomials as interpolation functions on unstructured grids, the proposed scheme employs the linear polynomial as well as non-polynomial as reconstruction candidates. For linear polynomial, the second order MUSCL scheme with the MLP (Mu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.09223","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/2003.09223/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":"2026-07-05T00:49:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QOT8XEY0Ru3VMiNpIaJhR0WstmMjTRXn5LpK/042D4qynkCAHs6cJ3vFLjyGRFWxxTybQkHt7cGJ411ZoNLbDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T01:45:32.831534Z"},"content_sha256":"b3f0aaa04968f5d17852355ba345163a875001a376d042fabccdb9fb7b892deb","schema_version":"1.0","event_id":"sha256:b3f0aaa04968f5d17852355ba345163a875001a376d042fabccdb9fb7b892deb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PAO4JSSQ4K5FXKGQCK4G324JA2/bundle.json","state_url":"https://pith.science/pith/PAO4JSSQ4K5FXKGQCK4G324JA2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PAO4JSSQ4K5FXKGQCK4G324JA2/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":"2026-08-07T01:45:32Z","links":{"resolver":"https://pith.science/pith/PAO4JSSQ4K5FXKGQCK4G324JA2","bundle":"https://pith.science/pith/PAO4JSSQ4K5FXKGQCK4G324JA2/bundle.json","state":"https://pith.science/pith/PAO4JSSQ4K5FXKGQCK4G324JA2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PAO4JSSQ4K5FXKGQCK4G324JA2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:PAO4JSSQ4K5FXKGQCK4G324JA2","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":"c36f1804d9625f528bc04aa5623e8b0f59f4edf7bea7a3818e6700e442aa82e2","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2020-03-20T12:19:58Z","title_canon_sha256":"4eb04ebdefe9d6eb2525829c860b801783be504d922f62a54739e270d2ffd954"},"schema_version":"1.0","source":{"id":"2003.09223","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.09223","created_at":"2026-07-05T00:49:30Z"},{"alias_kind":"arxiv_version","alias_value":"2003.09223v1","created_at":"2026-07-05T00:49:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.09223","created_at":"2026-07-05T00:49:30Z"},{"alias_kind":"pith_short_12","alias_value":"PAO4JSSQ4K5F","created_at":"2026-07-05T00:49:30Z"},{"alias_kind":"pith_short_16","alias_value":"PAO4JSSQ4K5FXKGQ","created_at":"2026-07-05T00:49:30Z"},{"alias_kind":"pith_short_8","alias_value":"PAO4JSSQ","created_at":"2026-07-05T00:49:30Z"}],"graph_snapshots":[{"event_id":"sha256:b3f0aaa04968f5d17852355ba345163a875001a376d042fabccdb9fb7b892deb","target":"graph","created_at":"2026-07-05T00:49:30Z","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/2003.09223/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Solving compressible flows containing discontinuities remains a major challenge for numerical methods especially on unstructured grids. Thus in this work, we make contributions to shock capturing schemes on unstructured grids with aim of resolving discontinuities with low numerical dissipation. Different from conventional shock capturing schemes which only use polynomials as interpolation functions on unstructured grids, the proposed scheme employs the linear polynomial as well as non-polynomial as reconstruction candidates. For linear polynomial, the second order MUSCL scheme with the MLP (Mu","authors_text":"Bin Xie, Feng Xiao, Lidong Cheng, Xi Deng, Yi Jiang","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2020-03-20T12:19:58Z","title":"Discontinuity-resolving shock-capturing schemes on unstructured grids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.09223","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":"sha256:39e4a1f80ffc520ad7a1b8fbf49160a6bf877221e05418e859a2eaab673b7ddd","target":"record","created_at":"2026-07-05T00:49:30Z","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":"c36f1804d9625f528bc04aa5623e8b0f59f4edf7bea7a3818e6700e442aa82e2","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2020-03-20T12:19:58Z","title_canon_sha256":"4eb04ebdefe9d6eb2525829c860b801783be504d922f62a54739e270d2ffd954"},"schema_version":"1.0","source":{"id":"2003.09223","kind":"arxiv","version":1}},"canonical_sha256":"781dc4ca50e2ba5ba8d012b86deb8906b42a958736383d672e34344c4c49fc07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"781dc4ca50e2ba5ba8d012b86deb8906b42a958736383d672e34344c4c49fc07","first_computed_at":"2026-07-05T00:49:30.292897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:49:30.292897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mpTqpqA2hDWExzfOH+fbgkmcbBcXjjZISbhnQjM69e6z+NgHm9Ny28x0zZXWhyjkCjrmVPk59GbBsM64viTmDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:49:30.293231Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.09223","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39e4a1f80ffc520ad7a1b8fbf49160a6bf877221e05418e859a2eaab673b7ddd","sha256:b3f0aaa04968f5d17852355ba345163a875001a376d042fabccdb9fb7b892deb"],"state_sha256":"13c62ed078b5a534f9cbb36e947abfa12acdb1475fcdaf9535e6e68bfe97852e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8JKrKoLW+SqpxephbAzZ4zygrVLL4APCPAsVm8NpWEndApIRN5nhBW5j9bGvkbh1dhI+JF50BTTw43exWCv6Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T01:45:32.836812Z","bundle_sha256":"a4cec7e698c074362069d4db4820cbb4c2a81e521c3722e4225d9e98038fd3ed"}}