{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:WBVJBQYMJLRSBHQZTRTDS3POHM","short_pith_number":"pith:WBVJBQYM","canonical_record":{"source":{"id":"2506.11959","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-06-13T17:08:49Z","cross_cats_sorted":[],"title_canon_sha256":"9c09095fe913f53d007130dfa5e74e083acd945b2a0fab838531b0ed66f31e49","abstract_canon_sha256":"e245c5a3bf1f248132efc98c46ab16ecdc8fb256c7c7e2250c8775c4623895eb"},"schema_version":"1.0"},"canonical_sha256":"b06a90c30c4ae3209e199c66396dee3b316b32334a8312c35b66be3d2790c44c","source":{"kind":"arxiv","id":"2506.11959","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.11959","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"arxiv_version","alias_value":"2506.11959v2","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.11959","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_12","alias_value":"WBVJBQYMJLRS","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_16","alias_value":"WBVJBQYMJLRSBHQZ","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_8","alias_value":"WBVJBQYM","created_at":"2026-07-05T12:09:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:WBVJBQYMJLRSBHQZTRTDS3POHM","target":"record","payload":{"canonical_record":{"source":{"id":"2506.11959","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-06-13T17:08:49Z","cross_cats_sorted":[],"title_canon_sha256":"9c09095fe913f53d007130dfa5e74e083acd945b2a0fab838531b0ed66f31e49","abstract_canon_sha256":"e245c5a3bf1f248132efc98c46ab16ecdc8fb256c7c7e2250c8775c4623895eb"},"schema_version":"1.0"},"canonical_sha256":"b06a90c30c4ae3209e199c66396dee3b316b32334a8312c35b66be3d2790c44c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:09:44.818640Z","signature_b64":"AvzTCY9VSGXb7/9Y5lAy+x+cKfP5P0icA7IIpIxBuplGozwFbheFukaXmlyYCd2sK0O8AcU6oF8xXvn2LAicDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b06a90c30c4ae3209e199c66396dee3b316b32334a8312c35b66be3d2790c44c","last_reissued_at":"2026-07-05T12:09:44.818148Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:09:44.818148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.11959","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T12:09:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/BUYR2PKsuH4mIVD1ZkVBp3rSMuiV/jEC9Q9vmbsjzFt2vDJphdoFidJnRJFW+ZdJvJFDa2td9dnCIQVSjLfBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:48:49.538294Z"},"content_sha256":"906049f5337b6ff6f0ace29516dce150bd473bb62ec5c85ab95a4e1d2e0b5d35","schema_version":"1.0","event_id":"sha256:906049f5337b6ff6f0ace29516dce150bd473bb62ec5c85ab95a4e1d2e0b5d35"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:WBVJBQYMJLRSBHQZTRTDS3POHM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An approximate Riemann solver approach in Physics-Informed Neural Networks for hyperbolic conservation laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Jorge F. Urb\\'an, Jos\\'e A. Pons","submitted_at":"2025-06-13T17:08:49Z","abstract_excerpt":"This study enhances the application of Physics-Informed Neural Networks (PINNs) for modeling discontinuous solutions in both hydrodynamics and relativistic hydrodynamics. Conventional PINNs, trained with partial differential equation residuals, frequently face convergence issues and lower accuracy near discontinuities. To address these issues, we build on the recently proposed locally linearized PINNs (LLPINNs), which improve shock detection by modifying the Jacobian matrix resulting from the linearization of the equations, only in regions where the velocity field exhibits strong compression. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.11959","kind":"arxiv","version":2},"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/2506.11959/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":"2026-07-05T12:09:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A8DEkvroC7C5OWIxQGaDNvROF3s8iTdkxvQVj/t0bwv1FcqPJBGC1jZKiHKpQosYLuio4uS/aT2jms0kXL4BDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:48:49.539198Z"},"content_sha256":"2dc3d9cbf754e91f32c5f478bd9c872291254820ff03a145865d44ffd01388d7","schema_version":"1.0","event_id":"sha256:2dc3d9cbf754e91f32c5f478bd9c872291254820ff03a145865d44ffd01388d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WBVJBQYMJLRSBHQZTRTDS3POHM/bundle.json","state_url":"https://pith.science/pith/WBVJBQYMJLRSBHQZTRTDS3POHM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WBVJBQYMJLRSBHQZTRTDS3POHM/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":"2026-08-13T10:48:49Z","links":{"resolver":"https://pith.science/pith/WBVJBQYMJLRSBHQZTRTDS3POHM","bundle":"https://pith.science/pith/WBVJBQYMJLRSBHQZTRTDS3POHM/bundle.json","state":"https://pith.science/pith/WBVJBQYMJLRSBHQZTRTDS3POHM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WBVJBQYMJLRSBHQZTRTDS3POHM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WBVJBQYMJLRSBHQZTRTDS3POHM","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":"e245c5a3bf1f248132efc98c46ab16ecdc8fb256c7c7e2250c8775c4623895eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-06-13T17:08:49Z","title_canon_sha256":"9c09095fe913f53d007130dfa5e74e083acd945b2a0fab838531b0ed66f31e49"},"schema_version":"1.0","source":{"id":"2506.11959","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.11959","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"arxiv_version","alias_value":"2506.11959v2","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.11959","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_12","alias_value":"WBVJBQYMJLRS","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_16","alias_value":"WBVJBQYMJLRSBHQZ","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_8","alias_value":"WBVJBQYM","created_at":"2026-07-05T12:09:44Z"}],"graph_snapshots":[{"event_id":"sha256:2dc3d9cbf754e91f32c5f478bd9c872291254820ff03a145865d44ffd01388d7","target":"graph","created_at":"2026-07-05T12:09:44Z","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/2506.11959/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This study enhances the application of Physics-Informed Neural Networks (PINNs) for modeling discontinuous solutions in both hydrodynamics and relativistic hydrodynamics. Conventional PINNs, trained with partial differential equation residuals, frequently face convergence issues and lower accuracy near discontinuities. To address these issues, we build on the recently proposed locally linearized PINNs (LLPINNs), which improve shock detection by modifying the Jacobian matrix resulting from the linearization of the equations, only in regions where the velocity field exhibits strong compression. ","authors_text":"Jorge F. Urb\\'an, Jos\\'e A. Pons","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-06-13T17:08:49Z","title":"An approximate Riemann solver approach in Physics-Informed Neural Networks for hyperbolic conservation laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.11959","kind":"arxiv","version":2},"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":"sha256:906049f5337b6ff6f0ace29516dce150bd473bb62ec5c85ab95a4e1d2e0b5d35","target":"record","created_at":"2026-07-05T12:09:44Z","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":"e245c5a3bf1f248132efc98c46ab16ecdc8fb256c7c7e2250c8775c4623895eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-06-13T17:08:49Z","title_canon_sha256":"9c09095fe913f53d007130dfa5e74e083acd945b2a0fab838531b0ed66f31e49"},"schema_version":"1.0","source":{"id":"2506.11959","kind":"arxiv","version":2}},"canonical_sha256":"b06a90c30c4ae3209e199c66396dee3b316b32334a8312c35b66be3d2790c44c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b06a90c30c4ae3209e199c66396dee3b316b32334a8312c35b66be3d2790c44c","first_computed_at":"2026-07-05T12:09:44.818148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:09:44.818148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AvzTCY9VSGXb7/9Y5lAy+x+cKfP5P0icA7IIpIxBuplGozwFbheFukaXmlyYCd2sK0O8AcU6oF8xXvn2LAicDg==","signature_status":"signed_v1","signed_at":"2026-07-05T12:09:44.818640Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.11959","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:906049f5337b6ff6f0ace29516dce150bd473bb62ec5c85ab95a4e1d2e0b5d35","sha256:2dc3d9cbf754e91f32c5f478bd9c872291254820ff03a145865d44ffd01388d7"],"state_sha256":"eb8184318ce678f9e248fe8e110a4b6cdb56a5160c17c07c1495a4dc928fa913"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wxXlLRT1dNfjyZ1PKbWTuwQBTgDud2eXxJ0adFxPlfZttzwoSPxqLxDOZDg9/W+OeDhi70XDYKZDk4GdbJhiCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T10:48:49.598393Z","bundle_sha256":"8c191c4870a753c1e2e38d804750d6add3964e0dce8ef0bd733163ea81dcfd9a"}}