{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:X5PTIDJILKG4WBKTOJGWP2ZHYK","short_pith_number":"pith:X5PTIDJI","canonical_record":{"source":{"id":"2411.01746","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-04T02:01:31Z","cross_cats_sorted":["cs.LG","cs.NA"],"title_canon_sha256":"62aa9cccd96c64e9c7918a2af63e41d9aa944172ede32987f95a9c63c8c79bf2","abstract_canon_sha256":"a2b56aee1e5780a7082c8ba3c2bb425745529f34fd8776e9d4c30df31c8c54c8"},"schema_version":"1.0"},"canonical_sha256":"bf5f340d285a8dcb0553724d67eb27c2ab598d2022a929d9480c7c7c2bc78465","source":{"kind":"arxiv","id":"2411.01746","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.01746","created_at":"2026-07-05T11:33:17Z"},{"alias_kind":"arxiv_version","alias_value":"2411.01746v2","created_at":"2026-07-05T11:33:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.01746","created_at":"2026-07-05T11:33:17Z"},{"alias_kind":"pith_short_12","alias_value":"X5PTIDJILKG4","created_at":"2026-07-05T11:33:17Z"},{"alias_kind":"pith_short_16","alias_value":"X5PTIDJILKG4WBKT","created_at":"2026-07-05T11:33:17Z"},{"alias_kind":"pith_short_8","alias_value":"X5PTIDJI","created_at":"2026-07-05T11:33:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:X5PTIDJILKG4WBKTOJGWP2ZHYK","target":"record","payload":{"canonical_record":{"source":{"id":"2411.01746","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-04T02:01:31Z","cross_cats_sorted":["cs.LG","cs.NA"],"title_canon_sha256":"62aa9cccd96c64e9c7918a2af63e41d9aa944172ede32987f95a9c63c8c79bf2","abstract_canon_sha256":"a2b56aee1e5780a7082c8ba3c2bb425745529f34fd8776e9d4c30df31c8c54c8"},"schema_version":"1.0"},"canonical_sha256":"bf5f340d285a8dcb0553724d67eb27c2ab598d2022a929d9480c7c7c2bc78465","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:33:17.146787Z","signature_b64":"MnzLVzz3GE3RwobrfQxrvs79RPFwbRj3ddr8RMPhX3fypNb1l0tsrc1wPW8I3KY65Cduoq8IcHe/tV59n5BQBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf5f340d285a8dcb0553724d67eb27c2ab598d2022a929d9480c7c7c2bc78465","last_reissued_at":"2026-07-05T11:33:17.146275Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:33:17.146275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.01746","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":"2026-07-05T11:33:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2+cKNgWDSPS7vE6di8f0FbL5kPVIu4dt5/6NYrFT8/iksPV19MaiROBHwNAn/yigc8qmR8gMKy6WCa3EU2JJBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T03:05:11.419830Z"},"content_sha256":"f42661a2bbceb08309c6e81dd77fe03ee487d5f42afc3534881c3e3438a54e50","schema_version":"1.0","event_id":"sha256:f42661a2bbceb08309c6e81dd77fe03ee487d5f42afc3534881c3e3438a54e50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:X5PTIDJILKG4WBKTOJGWP2ZHYK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropy stable conservative flux form neural networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","cs.NA"],"primary_cat":"math.NA","authors_text":"Anne Gelb, Lizuo Liu, Tongtong Li, Yoonsang Lee","submitted_at":"2024-11-04T02:01:31Z","abstract_excerpt":"We propose an entropy-stable conservative flux form neural network (CFN) that integrates classical numerical conservation laws into a data-driven framework using the entropy-stable, second-order, and non-oscillatory Kurganov-Tadmor (KT) scheme. The proposed entropy-stable CFN uses slope limiting as a denoising mechanism, ensuring accurate predictions in both noisy and sparse observation environments, as well as in both smooth and discontinuous regions. Numerical experiments demonstrate that the entropy-stable CFN achieves both stability and conservation while maintaining accuracy over extended"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.01746","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/2411.01746/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":"2026-07-05T11:33:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z3VFQW1U+KyngV6A36d0lRuOO1hKnzwPnaGC2Av22ErETJtOfK/7+fOFNZt23P4KeNyrzQVLc3ox/S1b+xcXAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T03:05:11.420807Z"},"content_sha256":"e8000eb96913a052894f96d3ac6aef1ffeafaa1d60c641f67d14ba147499a7d1","schema_version":"1.0","event_id":"sha256:e8000eb96913a052894f96d3ac6aef1ffeafaa1d60c641f67d14ba147499a7d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X5PTIDJILKG4WBKTOJGWP2ZHYK/bundle.json","state_url":"https://pith.science/pith/X5PTIDJILKG4WBKTOJGWP2ZHYK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X5PTIDJILKG4WBKTOJGWP2ZHYK/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":"2026-08-05T03:05:11Z","links":{"resolver":"https://pith.science/pith/X5PTIDJILKG4WBKTOJGWP2ZHYK","bundle":"https://pith.science/pith/X5PTIDJILKG4WBKTOJGWP2ZHYK/bundle.json","state":"https://pith.science/pith/X5PTIDJILKG4WBKTOJGWP2ZHYK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X5PTIDJILKG4WBKTOJGWP2ZHYK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:X5PTIDJILKG4WBKTOJGWP2ZHYK","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":"a2b56aee1e5780a7082c8ba3c2bb425745529f34fd8776e9d4c30df31c8c54c8","cross_cats_sorted":["cs.LG","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-04T02:01:31Z","title_canon_sha256":"62aa9cccd96c64e9c7918a2af63e41d9aa944172ede32987f95a9c63c8c79bf2"},"schema_version":"1.0","source":{"id":"2411.01746","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.01746","created_at":"2026-07-05T11:33:17Z"},{"alias_kind":"arxiv_version","alias_value":"2411.01746v2","created_at":"2026-07-05T11:33:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.01746","created_at":"2026-07-05T11:33:17Z"},{"alias_kind":"pith_short_12","alias_value":"X5PTIDJILKG4","created_at":"2026-07-05T11:33:17Z"},{"alias_kind":"pith_short_16","alias_value":"X5PTIDJILKG4WBKT","created_at":"2026-07-05T11:33:17Z"},{"alias_kind":"pith_short_8","alias_value":"X5PTIDJI","created_at":"2026-07-05T11:33:17Z"}],"graph_snapshots":[{"event_id":"sha256:e8000eb96913a052894f96d3ac6aef1ffeafaa1d60c641f67d14ba147499a7d1","target":"graph","created_at":"2026-07-05T11:33:17Z","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/2411.01746/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose an entropy-stable conservative flux form neural network (CFN) that integrates classical numerical conservation laws into a data-driven framework using the entropy-stable, second-order, and non-oscillatory Kurganov-Tadmor (KT) scheme. The proposed entropy-stable CFN uses slope limiting as a denoising mechanism, ensuring accurate predictions in both noisy and sparse observation environments, as well as in both smooth and discontinuous regions. Numerical experiments demonstrate that the entropy-stable CFN achieves both stability and conservation while maintaining accuracy over extended","authors_text":"Anne Gelb, Lizuo Liu, Tongtong Li, Yoonsang Lee","cross_cats":["cs.LG","cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-04T02:01:31Z","title":"Entropy stable conservative flux form neural networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.01746","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:f42661a2bbceb08309c6e81dd77fe03ee487d5f42afc3534881c3e3438a54e50","target":"record","created_at":"2026-07-05T11:33:17Z","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":"a2b56aee1e5780a7082c8ba3c2bb425745529f34fd8776e9d4c30df31c8c54c8","cross_cats_sorted":["cs.LG","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-11-04T02:01:31Z","title_canon_sha256":"62aa9cccd96c64e9c7918a2af63e41d9aa944172ede32987f95a9c63c8c79bf2"},"schema_version":"1.0","source":{"id":"2411.01746","kind":"arxiv","version":2}},"canonical_sha256":"bf5f340d285a8dcb0553724d67eb27c2ab598d2022a929d9480c7c7c2bc78465","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf5f340d285a8dcb0553724d67eb27c2ab598d2022a929d9480c7c7c2bc78465","first_computed_at":"2026-07-05T11:33:17.146275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:33:17.146275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MnzLVzz3GE3RwobrfQxrvs79RPFwbRj3ddr8RMPhX3fypNb1l0tsrc1wPW8I3KY65Cduoq8IcHe/tV59n5BQBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:33:17.146787Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.01746","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f42661a2bbceb08309c6e81dd77fe03ee487d5f42afc3534881c3e3438a54e50","sha256:e8000eb96913a052894f96d3ac6aef1ffeafaa1d60c641f67d14ba147499a7d1"],"state_sha256":"0b73eaa48e5e2359a34471beb1dfbfe11cf010c750ac0f4b5b1689d08088dccd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AH2n89hs5Ll+Y8kvtJrg+NH9LyxU16M8uB8Bof5YPh+F0MQm/B+L53HsNfOI+NJDkkOFokT0VE6UhA++t2IDBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T03:05:11.427942Z","bundle_sha256":"005a20fcb20fac148c92a8764098f9d6baaa58e1ce256d02e366c2c46ea7e9a1"}}