{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:BG5D43OCYX74BDUHLQIWDTQ6YF","short_pith_number":"pith:BG5D43OC","canonical_record":{"source":{"id":"2202.02306","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2022-02-04T18:44:21Z","cross_cats_sorted":["astro-ph.IM","cs.LG"],"title_canon_sha256":"69abb1b38c971c12d7e07dc6cc90f1663bbc7fdcf5b0bf01a3a56436cf901511","abstract_canon_sha256":"006139d95bb80a5e35cef91efa2cf10e84987a61197851aba1b78d49db5824a9"},"schema_version":"1.0"},"canonical_sha256":"09ba3e6dc2c5ffc08e875c1161ce1ec16e1884a0fae9942c04a6230a41e15003","source":{"kind":"arxiv","id":"2202.02306","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.02306","created_at":"2026-07-05T03:54:10Z"},{"alias_kind":"arxiv_version","alias_value":"2202.02306v1","created_at":"2026-07-05T03:54:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.02306","created_at":"2026-07-05T03:54:10Z"},{"alias_kind":"pith_short_12","alias_value":"BG5D43OCYX74","created_at":"2026-07-05T03:54:10Z"},{"alias_kind":"pith_short_16","alias_value":"BG5D43OCYX74BDUH","created_at":"2026-07-05T03:54:10Z"},{"alias_kind":"pith_short_8","alias_value":"BG5D43OC","created_at":"2026-07-05T03:54:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:BG5D43OCYX74BDUHLQIWDTQ6YF","target":"record","payload":{"canonical_record":{"source":{"id":"2202.02306","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2022-02-04T18:44:21Z","cross_cats_sorted":["astro-ph.IM","cs.LG"],"title_canon_sha256":"69abb1b38c971c12d7e07dc6cc90f1663bbc7fdcf5b0bf01a3a56436cf901511","abstract_canon_sha256":"006139d95bb80a5e35cef91efa2cf10e84987a61197851aba1b78d49db5824a9"},"schema_version":"1.0"},"canonical_sha256":"09ba3e6dc2c5ffc08e875c1161ce1ec16e1884a0fae9942c04a6230a41e15003","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:54:10.500638Z","signature_b64":"427zzJZfM2WHnRzt0Bzi5kk41Ey5oU9CvQDwJ5+T2cr0GI4GiIo0iwfWYLy40Aq0l+fknEdLFESR8/EdQSWdBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09ba3e6dc2c5ffc08e875c1161ce1ec16e1884a0fae9942c04a6230a41e15003","last_reissued_at":"2026-07-05T03:54:10.500218Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:54:10.500218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2202.02306","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":"2026-07-05T03:54:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/rvornKsnLoyw53BGAa+Q+w2kWchHkUYh5JxRGHvWEHQkBxFkUxcJNj5W7Yg4O3LBVXgTKIWdPh3KAtAuc4IBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:44:04.226915Z"},"content_sha256":"4ed7fd6be04df4dab553ddc823d495dc66c0ab300fe149814ff7c28c37234dff","schema_version":"1.0","event_id":"sha256:4ed7fd6be04df4dab553ddc823d495dc66c0ab300fe149814ff7c28c37234dff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:BG5D43OCYX74BDUHLQIWDTQ6YF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rediscovering orbital mechanics with machine learning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.IM","cs.LG"],"primary_cat":"astro-ph.EP","authors_text":"Miles Cranmer, Niall Jeffrey, Pablo Lemos, Peter Battaglia, Shirley Ho","submitted_at":"2022-02-04T18:44:21Z","abstract_excerpt":"We present an approach for using machine learning to automatically discover the governing equations and hidden properties of real physical systems from observations. We train a \"graph neural network\" to simulate the dynamics of our solar system's Sun, planets, and large moons from 30 years of trajectory data. We then use symbolic regression to discover an analytical expression for the force law implicitly learned by the neural network, which our results showed is equivalent to Newton's law of gravitation. The key assumptions that were required were translational and rotational equivariance, an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.02306","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/2202.02306/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":"2026-07-05T03:54:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z3yYWkBs3VznMCCED/lvdAFwU+0aW/JeKORTAdDM4lWpJ2t7qF8OWiAZmMcJJk+Ak1pFL3DNm4sMGnvjTPpXCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:44:04.227691Z"},"content_sha256":"8e16a632f5e9d1705c0f2355e48a6a7413da87a50d22531c385497679aeade2a","schema_version":"1.0","event_id":"sha256:8e16a632f5e9d1705c0f2355e48a6a7413da87a50d22531c385497679aeade2a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BG5D43OCYX74BDUHLQIWDTQ6YF/bundle.json","state_url":"https://pith.science/pith/BG5D43OCYX74BDUHLQIWDTQ6YF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BG5D43OCYX74BDUHLQIWDTQ6YF/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":"2026-08-13T20:44:04Z","links":{"resolver":"https://pith.science/pith/BG5D43OCYX74BDUHLQIWDTQ6YF","bundle":"https://pith.science/pith/BG5D43OCYX74BDUHLQIWDTQ6YF/bundle.json","state":"https://pith.science/pith/BG5D43OCYX74BDUHLQIWDTQ6YF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BG5D43OCYX74BDUHLQIWDTQ6YF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:BG5D43OCYX74BDUHLQIWDTQ6YF","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":"006139d95bb80a5e35cef91efa2cf10e84987a61197851aba1b78d49db5824a9","cross_cats_sorted":["astro-ph.IM","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2022-02-04T18:44:21Z","title_canon_sha256":"69abb1b38c971c12d7e07dc6cc90f1663bbc7fdcf5b0bf01a3a56436cf901511"},"schema_version":"1.0","source":{"id":"2202.02306","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.02306","created_at":"2026-07-05T03:54:10Z"},{"alias_kind":"arxiv_version","alias_value":"2202.02306v1","created_at":"2026-07-05T03:54:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.02306","created_at":"2026-07-05T03:54:10Z"},{"alias_kind":"pith_short_12","alias_value":"BG5D43OCYX74","created_at":"2026-07-05T03:54:10Z"},{"alias_kind":"pith_short_16","alias_value":"BG5D43OCYX74BDUH","created_at":"2026-07-05T03:54:10Z"},{"alias_kind":"pith_short_8","alias_value":"BG5D43OC","created_at":"2026-07-05T03:54:10Z"}],"graph_snapshots":[{"event_id":"sha256:8e16a632f5e9d1705c0f2355e48a6a7413da87a50d22531c385497679aeade2a","target":"graph","created_at":"2026-07-05T03:54:10Z","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/2202.02306/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present an approach for using machine learning to automatically discover the governing equations and hidden properties of real physical systems from observations. We train a \"graph neural network\" to simulate the dynamics of our solar system's Sun, planets, and large moons from 30 years of trajectory data. We then use symbolic regression to discover an analytical expression for the force law implicitly learned by the neural network, which our results showed is equivalent to Newton's law of gravitation. The key assumptions that were required were translational and rotational equivariance, an","authors_text":"Miles Cranmer, Niall Jeffrey, Pablo Lemos, Peter Battaglia, Shirley Ho","cross_cats":["astro-ph.IM","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2022-02-04T18:44:21Z","title":"Rediscovering orbital mechanics with machine learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.02306","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":"sha256:4ed7fd6be04df4dab553ddc823d495dc66c0ab300fe149814ff7c28c37234dff","target":"record","created_at":"2026-07-05T03:54:10Z","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":"006139d95bb80a5e35cef91efa2cf10e84987a61197851aba1b78d49db5824a9","cross_cats_sorted":["astro-ph.IM","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2022-02-04T18:44:21Z","title_canon_sha256":"69abb1b38c971c12d7e07dc6cc90f1663bbc7fdcf5b0bf01a3a56436cf901511"},"schema_version":"1.0","source":{"id":"2202.02306","kind":"arxiv","version":1}},"canonical_sha256":"09ba3e6dc2c5ffc08e875c1161ce1ec16e1884a0fae9942c04a6230a41e15003","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09ba3e6dc2c5ffc08e875c1161ce1ec16e1884a0fae9942c04a6230a41e15003","first_computed_at":"2026-07-05T03:54:10.500218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:54:10.500218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"427zzJZfM2WHnRzt0Bzi5kk41Ey5oU9CvQDwJ5+T2cr0GI4GiIo0iwfWYLy40Aq0l+fknEdLFESR8/EdQSWdBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:54:10.500638Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.02306","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ed7fd6be04df4dab553ddc823d495dc66c0ab300fe149814ff7c28c37234dff","sha256:8e16a632f5e9d1705c0f2355e48a6a7413da87a50d22531c385497679aeade2a"],"state_sha256":"2d3002767fd7890f3a6715957295b0f173d3a15df5cc2f5d277810803dbbf52b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rPYtNsXhS4xuw8SH06py7WWLGeLVVHWNHRJzyZSKzKtXEzBkGcuDDIAbKivH2NovpdxoPh7mAOTMuVxhrsNFCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T20:44:04.233843Z","bundle_sha256":"547621d124232e4328c28aede066237f27dc8204109f18c6d1e4f61b142e9b68"}}