{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:6UYQRUNF5PYMQ3PKFRONTCLF3Q","short_pith_number":"pith:6UYQRUNF","canonical_record":{"source":{"id":"2408.09840","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-08-19T09:36:07Z","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"title_canon_sha256":"a7d7067fef8f2e352e1b0bdc15610b7956776c62a14096b6fc1ccb94acda7106","abstract_canon_sha256":"1f9c1cbc04c4fbedca4c5f68eb943ddedca6a5b780e824de20780bb1bbccfd3a"},"schema_version":"1.0"},"canonical_sha256":"f53108d1a5ebf0c86dea2c5cd98965dc1a1834301831f646ab25cad4c40f08c7","source":{"kind":"arxiv","id":"2408.09840","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.09840","created_at":"2026-07-05T11:03:16Z"},{"alias_kind":"arxiv_version","alias_value":"2408.09840v2","created_at":"2026-07-05T11:03:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.09840","created_at":"2026-07-05T11:03:16Z"},{"alias_kind":"pith_short_12","alias_value":"6UYQRUNF5PYM","created_at":"2026-07-05T11:03:16Z"},{"alias_kind":"pith_short_16","alias_value":"6UYQRUNF5PYMQ3PK","created_at":"2026-07-05T11:03:16Z"},{"alias_kind":"pith_short_8","alias_value":"6UYQRUNF","created_at":"2026-07-05T11:03:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:6UYQRUNF5PYMQ3PKFRONTCLF3Q","target":"record","payload":{"canonical_record":{"source":{"id":"2408.09840","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-08-19T09:36:07Z","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"title_canon_sha256":"a7d7067fef8f2e352e1b0bdc15610b7956776c62a14096b6fc1ccb94acda7106","abstract_canon_sha256":"1f9c1cbc04c4fbedca4c5f68eb943ddedca6a5b780e824de20780bb1bbccfd3a"},"schema_version":"1.0"},"canonical_sha256":"f53108d1a5ebf0c86dea2c5cd98965dc1a1834301831f646ab25cad4c40f08c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:03:16.159603Z","signature_b64":"usAlC9P7dkwD/7AmbGC8usl41YeKcUtyf8f21kxKKPQU7fuYivEKJtVy0gDKTUWhZgHClCH+vlcm2rATb+pmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f53108d1a5ebf0c86dea2c5cd98965dc1a1834301831f646ab25cad4c40f08c7","last_reissued_at":"2026-07-05T11:03:16.158973Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:03:16.158973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.09840","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":"2026-07-05T11:03:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ciop+lYltGEAbYWOrt0m9CZj3cvVMj+77N77mhOZ0kt/UyQtUaP0lflB6pDmIqHcQ6YKsdWtUiap2OBuYJKEBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:42:55.769812Z"},"content_sha256":"f6643e578c3bff3aa8c6e33879d3b994a47b9524ee368fff9b0546296054c07b","schema_version":"1.0","event_id":"sha256:f6643e578c3bff3aa8c6e33879d3b994a47b9524ee368fff9b0546296054c07b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:6UYQRUNF5PYMQ3PKFRONTCLF3Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Machine Learning with Physics Knowledge for Prediction: A Survey","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA","physics.comp-ph"],"primary_cat":"cs.LG","authors_text":"Ahmed Hendawy, An T. Le, Carlo D'Eramo, Chen Song, Fabian B\\\"ulow, Jan Peters, Joe Watson, Kay Pompetzki, Martin W. Hoffman, Miles Cranmer, Oleg Arenz, Oliver Weeger, Tanmay Goyal, Theo Gruner, Will Trojak","submitted_at":"2024-08-19T09:36:07Z","abstract_excerpt":"This survey examines the broad suite of methods and models for combining machine learning with physics knowledge for prediction and forecast, with a focus on partial differential equations. These methods have attracted significant interest due to their potential impact on advancing scientific research and industrial practices by improving predictive models with small- or large-scale datasets and expressive predictive models with useful inductive biases. The survey has two parts. The first considers incorporating physics knowledge on an architectural level through objective functions, structure"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.09840","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/2408.09840/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":"2026-07-05T11:03:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5hreyx4dCxxpuhMxuC/5zrw2+DyqZBcwLMjARxHCgKRIqUP7jzYd8T+Lq+zcIIVwUwnJzICOgT36HfsQyQPpBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:42:55.770472Z"},"content_sha256":"3285f873a8a04863169bc1b2dfe82c41df7de5bdccbc87d5125ea1493ab4e27d","schema_version":"1.0","event_id":"sha256:3285f873a8a04863169bc1b2dfe82c41df7de5bdccbc87d5125ea1493ab4e27d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6UYQRUNF5PYMQ3PKFRONTCLF3Q/bundle.json","state_url":"https://pith.science/pith/6UYQRUNF5PYMQ3PKFRONTCLF3Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6UYQRUNF5PYMQ3PKFRONTCLF3Q/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":"2026-08-09T00:42:55Z","links":{"resolver":"https://pith.science/pith/6UYQRUNF5PYMQ3PKFRONTCLF3Q","bundle":"https://pith.science/pith/6UYQRUNF5PYMQ3PKFRONTCLF3Q/bundle.json","state":"https://pith.science/pith/6UYQRUNF5PYMQ3PKFRONTCLF3Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6UYQRUNF5PYMQ3PKFRONTCLF3Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:6UYQRUNF5PYMQ3PKFRONTCLF3Q","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":"1f9c1cbc04c4fbedca4c5f68eb943ddedca6a5b780e824de20780bb1bbccfd3a","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-08-19T09:36:07Z","title_canon_sha256":"a7d7067fef8f2e352e1b0bdc15610b7956776c62a14096b6fc1ccb94acda7106"},"schema_version":"1.0","source":{"id":"2408.09840","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.09840","created_at":"2026-07-05T11:03:16Z"},{"alias_kind":"arxiv_version","alias_value":"2408.09840v2","created_at":"2026-07-05T11:03:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.09840","created_at":"2026-07-05T11:03:16Z"},{"alias_kind":"pith_short_12","alias_value":"6UYQRUNF5PYM","created_at":"2026-07-05T11:03:16Z"},{"alias_kind":"pith_short_16","alias_value":"6UYQRUNF5PYMQ3PK","created_at":"2026-07-05T11:03:16Z"},{"alias_kind":"pith_short_8","alias_value":"6UYQRUNF","created_at":"2026-07-05T11:03:16Z"}],"graph_snapshots":[{"event_id":"sha256:3285f873a8a04863169bc1b2dfe82c41df7de5bdccbc87d5125ea1493ab4e27d","target":"graph","created_at":"2026-07-05T11:03:16Z","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/2408.09840/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This survey examines the broad suite of methods and models for combining machine learning with physics knowledge for prediction and forecast, with a focus on partial differential equations. These methods have attracted significant interest due to their potential impact on advancing scientific research and industrial practices by improving predictive models with small- or large-scale datasets and expressive predictive models with useful inductive biases. The survey has two parts. The first considers incorporating physics knowledge on an architectural level through objective functions, structure","authors_text":"Ahmed Hendawy, An T. Le, Carlo D'Eramo, Chen Song, Fabian B\\\"ulow, Jan Peters, Joe Watson, Kay Pompetzki, Martin W. Hoffman, Miles Cranmer, Oleg Arenz, Oliver Weeger, Tanmay Goyal, Theo Gruner, Will Trojak","cross_cats":["cs.NA","math.NA","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-08-19T09:36:07Z","title":"Machine Learning with Physics Knowledge for Prediction: A Survey"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.09840","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:f6643e578c3bff3aa8c6e33879d3b994a47b9524ee368fff9b0546296054c07b","target":"record","created_at":"2026-07-05T11:03:16Z","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":"1f9c1cbc04c4fbedca4c5f68eb943ddedca6a5b780e824de20780bb1bbccfd3a","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-08-19T09:36:07Z","title_canon_sha256":"a7d7067fef8f2e352e1b0bdc15610b7956776c62a14096b6fc1ccb94acda7106"},"schema_version":"1.0","source":{"id":"2408.09840","kind":"arxiv","version":2}},"canonical_sha256":"f53108d1a5ebf0c86dea2c5cd98965dc1a1834301831f646ab25cad4c40f08c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f53108d1a5ebf0c86dea2c5cd98965dc1a1834301831f646ab25cad4c40f08c7","first_computed_at":"2026-07-05T11:03:16.158973Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:03:16.158973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"usAlC9P7dkwD/7AmbGC8usl41YeKcUtyf8f21kxKKPQU7fuYivEKJtVy0gDKTUWhZgHClCH+vlcm2rATb+pmDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:03:16.159603Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.09840","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6643e578c3bff3aa8c6e33879d3b994a47b9524ee368fff9b0546296054c07b","sha256:3285f873a8a04863169bc1b2dfe82c41df7de5bdccbc87d5125ea1493ab4e27d"],"state_sha256":"fb655565ee279a306ec6fc554a2a9f6991a300d79c60293be9d1f3d0162a73b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iq2ESeksyZIUs2mjn2vzC7Wsu8BVIOvjn4BNHuDfGo5rXOGowQd2ASf0sEsUG7sjRKUq7xOJkVun+J7JwJchBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T00:42:55.774232Z","bundle_sha256":"67b158996a54ee1be7535f9e3293fb3588d16b83a38fca1ee7ac896171f5c935"}}