{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:NETB2H36ZX5KKJBNY2V7WQPQWD","short_pith_number":"pith:NETB2H36","canonical_record":{"source":{"id":"2608.12624","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-12T22:12:19Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"1f87f67d079d0a6a924be4d8747ecc51fdec5cc99b27e8e3061c7fcfc389cae8","abstract_canon_sha256":"069dd318770ccc3eceb4427d3642e816fb0365a95189056f259ea2eae5558170"},"schema_version":"1.0"},"canonical_sha256":"69261d1f7ecdfaa5242dc6abfb41f0b0c74a2c5c86e93a02203fa413d39e014a","source":{"kind":"arxiv","id":"2608.12624","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.12624","created_at":"2026-08-14T00:46:11Z"},{"alias_kind":"arxiv_version","alias_value":"2608.12624v1","created_at":"2026-08-14T00:46:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.12624","created_at":"2026-08-14T00:46:11Z"},{"alias_kind":"pith_short_12","alias_value":"NETB2H36ZX5K","created_at":"2026-08-14T00:46:11Z"},{"alias_kind":"pith_short_16","alias_value":"NETB2H36ZX5KKJBN","created_at":"2026-08-14T00:46:11Z"},{"alias_kind":"pith_short_8","alias_value":"NETB2H36","created_at":"2026-08-14T00:46:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:NETB2H36ZX5KKJBNY2V7WQPQWD","target":"record","payload":{"canonical_record":{"source":{"id":"2608.12624","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-12T22:12:19Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"1f87f67d079d0a6a924be4d8747ecc51fdec5cc99b27e8e3061c7fcfc389cae8","abstract_canon_sha256":"069dd318770ccc3eceb4427d3642e816fb0365a95189056f259ea2eae5558170"},"schema_version":"1.0"},"canonical_sha256":"69261d1f7ecdfaa5242dc6abfb41f0b0c74a2c5c86e93a02203fa413d39e014a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-14T00:46:11.315783Z","signature_b64":"ff1tSew1K7YNSraH0649JAoue7CNlspGTCRC0eJW4LooMc7NfUwXqSVWst8kC9/xj4b/UUvJnM/Py+BAuxs/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69261d1f7ecdfaa5242dc6abfb41f0b0c74a2c5c86e93a02203fa413d39e014a","last_reissued_at":"2026-08-14T00:46:11.301364Z","signature_status":"signed_v1","first_computed_at":"2026-08-14T00:46:11.301364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.12624","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":"2026-08-14T00:46:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"METpyxcagXYjmcC86AXH4gkp65ry6bay9dxqfFFcHR4Htw1Em84ZoSP8voDz6EaJFeIayHL8dwKNZ1NzDI6wCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T07:51:59.749645Z"},"content_sha256":"ad57ac72ae4092390baf862e69cf7d55aaebbdc84fc25d3f005b802a53586716","schema_version":"1.0","event_id":"sha256:ad57ac72ae4092390baf862e69cf7d55aaebbdc84fc25d3f005b802a53586716"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:NETB2H36ZX5KKJBNY2V7WQPQWD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Structure-preserving uncertainty quantification for GENERIC dynamics","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cs.LG","authors_text":"Celia Reina, Zequn He","submitted_at":"2026-08-12T22:12:19Z","abstract_excerpt":"Structure-preserving machine learning embeds physical structure directly into model architectures, yet uncertainty quantification (UQ) for such hard-constrained models remains limited because standard UQ methods may violate the encoded admissibility conditions, require architectural modifications, or impose substantial computational costs. In this work, we propose Structure-Preserving Epistemic Neural Networks (S-PENNs), a general framework for UQ in scientific machine learning models with hard architectural constraints, and instantiate it for GENERIC (General Equation for Non-Equilibrium Reve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.12624","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/2608.12624/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":"2026-08-14T00:46:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bCAJFBxxfrN9L+ozSvuSvu3mygZ3CP4k1TONzMB/T6gShlGzkt0Mm+OtOEhukoqGn8axOH31QShSzEJNysmXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T07:51:59.750136Z"},"content_sha256":"9bcb86361bef3b5710f7e76a9815bea41f0c78a8198c4740c39ac9fbec4efa6b","schema_version":"1.0","event_id":"sha256:9bcb86361bef3b5710f7e76a9815bea41f0c78a8198c4740c39ac9fbec4efa6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NETB2H36ZX5KKJBNY2V7WQPQWD/bundle.json","state_url":"https://pith.science/pith/NETB2H36ZX5KKJBNY2V7WQPQWD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NETB2H36ZX5KKJBNY2V7WQPQWD/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":"2026-08-20T07:51:59Z","links":{"resolver":"https://pith.science/pith/NETB2H36ZX5KKJBNY2V7WQPQWD","bundle":"https://pith.science/pith/NETB2H36ZX5KKJBNY2V7WQPQWD/bundle.json","state":"https://pith.science/pith/NETB2H36ZX5KKJBNY2V7WQPQWD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NETB2H36ZX5KKJBNY2V7WQPQWD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NETB2H36ZX5KKJBNY2V7WQPQWD","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":"069dd318770ccc3eceb4427d3642e816fb0365a95189056f259ea2eae5558170","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-12T22:12:19Z","title_canon_sha256":"1f87f67d079d0a6a924be4d8747ecc51fdec5cc99b27e8e3061c7fcfc389cae8"},"schema_version":"1.0","source":{"id":"2608.12624","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.12624","created_at":"2026-08-14T00:46:11Z"},{"alias_kind":"arxiv_version","alias_value":"2608.12624v1","created_at":"2026-08-14T00:46:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.12624","created_at":"2026-08-14T00:46:11Z"},{"alias_kind":"pith_short_12","alias_value":"NETB2H36ZX5K","created_at":"2026-08-14T00:46:11Z"},{"alias_kind":"pith_short_16","alias_value":"NETB2H36ZX5KKJBN","created_at":"2026-08-14T00:46:11Z"},{"alias_kind":"pith_short_8","alias_value":"NETB2H36","created_at":"2026-08-14T00:46:11Z"}],"graph_snapshots":[{"event_id":"sha256:9bcb86361bef3b5710f7e76a9815bea41f0c78a8198c4740c39ac9fbec4efa6b","target":"graph","created_at":"2026-08-14T00:46:11Z","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/2608.12624/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Structure-preserving machine learning embeds physical structure directly into model architectures, yet uncertainty quantification (UQ) for such hard-constrained models remains limited because standard UQ methods may violate the encoded admissibility conditions, require architectural modifications, or impose substantial computational costs. In this work, we propose Structure-Preserving Epistemic Neural Networks (S-PENNs), a general framework for UQ in scientific machine learning models with hard architectural constraints, and instantiate it for GENERIC (General Equation for Non-Equilibrium Reve","authors_text":"Celia Reina, Zequn He","cross_cats":["physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-12T22:12:19Z","title":"Structure-preserving uncertainty quantification for GENERIC dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.12624","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:ad57ac72ae4092390baf862e69cf7d55aaebbdc84fc25d3f005b802a53586716","target":"record","created_at":"2026-08-14T00:46:11Z","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":"069dd318770ccc3eceb4427d3642e816fb0365a95189056f259ea2eae5558170","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-12T22:12:19Z","title_canon_sha256":"1f87f67d079d0a6a924be4d8747ecc51fdec5cc99b27e8e3061c7fcfc389cae8"},"schema_version":"1.0","source":{"id":"2608.12624","kind":"arxiv","version":1}},"canonical_sha256":"69261d1f7ecdfaa5242dc6abfb41f0b0c74a2c5c86e93a02203fa413d39e014a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69261d1f7ecdfaa5242dc6abfb41f0b0c74a2c5c86e93a02203fa413d39e014a","first_computed_at":"2026-08-14T00:46:11.301364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-14T00:46:11.301364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ff1tSew1K7YNSraH0649JAoue7CNlspGTCRC0eJW4LooMc7NfUwXqSVWst8kC9/xj4b/UUvJnM/Py+BAuxs/Dg==","signature_status":"signed_v1","signed_at":"2026-08-14T00:46:11.315783Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.12624","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad57ac72ae4092390baf862e69cf7d55aaebbdc84fc25d3f005b802a53586716","sha256:9bcb86361bef3b5710f7e76a9815bea41f0c78a8198c4740c39ac9fbec4efa6b"],"state_sha256":"b12cd048bb8ec3bae838c539c28400a703c4c911d436fa8a250fd6c7342bd71d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gJWhJIcu+MKqrZ6fbII5xJJlClxX4XdbcS2IUG8AJNkL4N+TChks5q3F1Jux51dBdy5JUOKDbGRcsce/7QDiCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T07:51:59.753822Z","bundle_sha256":"09b2ef7bafb6780bcbf4bc9709e1ad8df681bf64747d6d8d3db7072aa2279fd3"}}