{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:HDT5642R2KBG5QOIMZZPAIY6H4","short_pith_number":"pith:HDT5642R","canonical_record":{"source":{"id":"2506.19370","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-06-24T06:59:29Z","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"title_canon_sha256":"2bac92c43d211caaae0fe5092ff7e0387f7f6dca268c1ebb88e01cf291481254","abstract_canon_sha256":"28c0bd2f383e5177edcf8f8a0f41f44c0c5202e17a3efed6b2f73e47e481856d"},"schema_version":"1.0"},"canonical_sha256":"38e7df7351d2826ec1c86672f0231e3f3f0f2b1fd4705182fadaa46e12b6d055","source":{"kind":"arxiv","id":"2506.19370","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.19370","created_at":"2026-07-05T11:26:14Z"},{"alias_kind":"arxiv_version","alias_value":"2506.19370v1","created_at":"2026-07-05T11:26:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.19370","created_at":"2026-07-05T11:26:14Z"},{"alias_kind":"pith_short_12","alias_value":"HDT5642R2KBG","created_at":"2026-07-05T11:26:14Z"},{"alias_kind":"pith_short_16","alias_value":"HDT5642R2KBG5QOI","created_at":"2026-07-05T11:26:14Z"},{"alias_kind":"pith_short_8","alias_value":"HDT5642R","created_at":"2026-07-05T11:26:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:HDT5642R2KBG5QOIMZZPAIY6H4","target":"record","payload":{"canonical_record":{"source":{"id":"2506.19370","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-06-24T06:59:29Z","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"title_canon_sha256":"2bac92c43d211caaae0fe5092ff7e0387f7f6dca268c1ebb88e01cf291481254","abstract_canon_sha256":"28c0bd2f383e5177edcf8f8a0f41f44c0c5202e17a3efed6b2f73e47e481856d"},"schema_version":"1.0"},"canonical_sha256":"38e7df7351d2826ec1c86672f0231e3f3f0f2b1fd4705182fadaa46e12b6d055","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:26:14.170071Z","signature_b64":"e009NEiG/zYyYmTp6Srf6PLiSsys1Gj+qmhH1e/YacZNaWu1QFXV3LzKvxHFcet/jPq4ekypi5QUd/5yyPC2AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38e7df7351d2826ec1c86672f0231e3f3f0f2b1fd4705182fadaa46e12b6d055","last_reissued_at":"2026-07-05T11:26:14.169603Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:26:14.169603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.19370","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":"2026-07-05T11:26:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LYxYJiU0fxcZWH16o1icu5XV5leTwi8/NCKL0Z6kbVQZZzBKJm7sFrooB/exz29yU+J0VkMWo4r+Mlgce3BHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T18:38:12.641901Z"},"content_sha256":"fef3a6337176a77eb73be75ee0d7525709734d6c1792341975b86392215ff1eb","schema_version":"1.0","event_id":"sha256:fef3a6337176a77eb73be75ee0d7525709734d6c1792341975b86392215ff1eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:HDT5642R2KBG5QOIMZZPAIY6H4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"General-domain FC-based shock-dynamics solver II: Non-smooth domains, accuracy and parallel performance","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","physics.flu-dyn"],"primary_cat":"math.NA","authors_text":"Daniel V. Leibovici, Oscar P. Bruno","submitted_at":"2025-06-24T06:59:29Z","abstract_excerpt":"This contribution Part II of a two-part series, extends the general-domain FC-SDNN (Fourier Continuation Shock-Detecting Neural Network) introduces in Part I to enable treatment of non-smooth domains, it introduces a parallel implementation of the scheme with high-quality weak and strong scalability properties, and it illustrates the overall methodology for a variety of tests for the 2D Euler equations--including supersonic and hypersonic flows and shocks past obstacles with corners. The results produces by the new methods are compared to previous theoretical and experimental results, and the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.19370","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/2506.19370/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":"2026-07-05T11:26:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mr0iORoLRKWD31wzU1sgovi9zOEdxbLIBRbyt38KJRJm+ryOxijOddPK7p5+Be7Etj1jqade9wYF/Iw98GpNAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T18:38:12.642577Z"},"content_sha256":"1592c2a9846d9d36a85f4d6e8293b2cc6540843aec4236c6c997fac1a8886fea","schema_version":"1.0","event_id":"sha256:1592c2a9846d9d36a85f4d6e8293b2cc6540843aec4236c6c997fac1a8886fea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HDT5642R2KBG5QOIMZZPAIY6H4/bundle.json","state_url":"https://pith.science/pith/HDT5642R2KBG5QOIMZZPAIY6H4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HDT5642R2KBG5QOIMZZPAIY6H4/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":"2026-08-08T18:38:12Z","links":{"resolver":"https://pith.science/pith/HDT5642R2KBG5QOIMZZPAIY6H4","bundle":"https://pith.science/pith/HDT5642R2KBG5QOIMZZPAIY6H4/bundle.json","state":"https://pith.science/pith/HDT5642R2KBG5QOIMZZPAIY6H4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HDT5642R2KBG5QOIMZZPAIY6H4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HDT5642R2KBG5QOIMZZPAIY6H4","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":"28c0bd2f383e5177edcf8f8a0f41f44c0c5202e17a3efed6b2f73e47e481856d","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-06-24T06:59:29Z","title_canon_sha256":"2bac92c43d211caaae0fe5092ff7e0387f7f6dca268c1ebb88e01cf291481254"},"schema_version":"1.0","source":{"id":"2506.19370","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.19370","created_at":"2026-07-05T11:26:14Z"},{"alias_kind":"arxiv_version","alias_value":"2506.19370v1","created_at":"2026-07-05T11:26:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.19370","created_at":"2026-07-05T11:26:14Z"},{"alias_kind":"pith_short_12","alias_value":"HDT5642R2KBG","created_at":"2026-07-05T11:26:14Z"},{"alias_kind":"pith_short_16","alias_value":"HDT5642R2KBG5QOI","created_at":"2026-07-05T11:26:14Z"},{"alias_kind":"pith_short_8","alias_value":"HDT5642R","created_at":"2026-07-05T11:26:14Z"}],"graph_snapshots":[{"event_id":"sha256:1592c2a9846d9d36a85f4d6e8293b2cc6540843aec4236c6c997fac1a8886fea","target":"graph","created_at":"2026-07-05T11:26:14Z","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/2506.19370/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This contribution Part II of a two-part series, extends the general-domain FC-SDNN (Fourier Continuation Shock-Detecting Neural Network) introduces in Part I to enable treatment of non-smooth domains, it introduces a parallel implementation of the scheme with high-quality weak and strong scalability properties, and it illustrates the overall methodology for a variety of tests for the 2D Euler equations--including supersonic and hypersonic flows and shocks past obstacles with corners. The results produces by the new methods are compared to previous theoretical and experimental results, and the ","authors_text":"Daniel V. Leibovici, Oscar P. Bruno","cross_cats":["cs.NA","physics.flu-dyn"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-06-24T06:59:29Z","title":"General-domain FC-based shock-dynamics solver II: Non-smooth domains, accuracy and parallel performance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.19370","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:fef3a6337176a77eb73be75ee0d7525709734d6c1792341975b86392215ff1eb","target":"record","created_at":"2026-07-05T11:26:14Z","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":"28c0bd2f383e5177edcf8f8a0f41f44c0c5202e17a3efed6b2f73e47e481856d","cross_cats_sorted":["cs.NA","physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2025-06-24T06:59:29Z","title_canon_sha256":"2bac92c43d211caaae0fe5092ff7e0387f7f6dca268c1ebb88e01cf291481254"},"schema_version":"1.0","source":{"id":"2506.19370","kind":"arxiv","version":1}},"canonical_sha256":"38e7df7351d2826ec1c86672f0231e3f3f0f2b1fd4705182fadaa46e12b6d055","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38e7df7351d2826ec1c86672f0231e3f3f0f2b1fd4705182fadaa46e12b6d055","first_computed_at":"2026-07-05T11:26:14.169603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:26:14.169603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e009NEiG/zYyYmTp6Srf6PLiSsys1Gj+qmhH1e/YacZNaWu1QFXV3LzKvxHFcet/jPq4ekypi5QUd/5yyPC2AA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:26:14.170071Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.19370","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fef3a6337176a77eb73be75ee0d7525709734d6c1792341975b86392215ff1eb","sha256:1592c2a9846d9d36a85f4d6e8293b2cc6540843aec4236c6c997fac1a8886fea"],"state_sha256":"cbbf08e08e52c0d69aa47dab39c05c68f19868e75d809bcffc78b81568255690"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f1GFzdKecsfxHWfgNV8gEuBhInNKNoF+PMIdT/fTv1mr7iTn/+y9iQyTlIsPBPJUS3mWKFK1dDjhdNNhvO+vCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T18:38:12.647815Z","bundle_sha256":"0f4b86db8b39d19f1048f06707f29a3dc859834a92d822977821e4572675afe8"}}