{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:KOB4ZJA5UR6F2EPD3GWDMRXK45","short_pith_number":"pith:KOB4ZJA5","canonical_record":{"source":{"id":"2405.16305","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-05-25T17:14:23Z","cross_cats_sorted":[],"title_canon_sha256":"c288fb7b669f77f168b0dace74f64acb6750ceafa42f6721e9f26fd4a990d6b2","abstract_canon_sha256":"4186a75781974795bf4883b038b8fcbc91ed978244dbede7d8d88bdcc53fdd0d"},"schema_version":"1.0"},"canonical_sha256":"5383cca41da47c5d11e3d9ac3646eae77e4c30e2858770a96a81517d257702e6","source":{"kind":"arxiv","id":"2405.16305","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.16305","created_at":"2026-07-05T10:05:43Z"},{"alias_kind":"arxiv_version","alias_value":"2405.16305v3","created_at":"2026-07-05T10:05:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.16305","created_at":"2026-07-05T10:05:43Z"},{"alias_kind":"pith_short_12","alias_value":"KOB4ZJA5UR6F","created_at":"2026-07-05T10:05:43Z"},{"alias_kind":"pith_short_16","alias_value":"KOB4ZJA5UR6F2EPD","created_at":"2026-07-05T10:05:43Z"},{"alias_kind":"pith_short_8","alias_value":"KOB4ZJA5","created_at":"2026-07-05T10:05:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:KOB4ZJA5UR6F2EPD3GWDMRXK45","target":"record","payload":{"canonical_record":{"source":{"id":"2405.16305","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-05-25T17:14:23Z","cross_cats_sorted":[],"title_canon_sha256":"c288fb7b669f77f168b0dace74f64acb6750ceafa42f6721e9f26fd4a990d6b2","abstract_canon_sha256":"4186a75781974795bf4883b038b8fcbc91ed978244dbede7d8d88bdcc53fdd0d"},"schema_version":"1.0"},"canonical_sha256":"5383cca41da47c5d11e3d9ac3646eae77e4c30e2858770a96a81517d257702e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:05:43.023331Z","signature_b64":"nGCLsRW2xCyWO/Ki8ZGtWZ6Z/LpgzPO4Y7PMWIAXn2nyCHrXxuN4TDHuWiEb9lcge4REB5YYGzLpqrOm+2fbCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5383cca41da47c5d11e3d9ac3646eae77e4c30e2858770a96a81517d257702e6","last_reissued_at":"2026-07-05T10:05:43.022773Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:05:43.022773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.16305","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:05:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"enszGTCfINivovQADciD8ewmu9hbMKlyGYeWZFfc6f1zqjIGJih4L6fFgQ4hxpFg2iK1WkP/MmLifvsFUh/wAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:12:41.468517Z"},"content_sha256":"305756993c9afd43b6e01d6673c9d40208efd9c3b414111a388fa56d825fd41f","schema_version":"1.0","event_id":"sha256:305756993c9afd43b6e01d6673c9d40208efd9c3b414111a388fa56d825fd41f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:KOB4ZJA5UR6F2EPD3GWDMRXK45","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficiently Parameterized Neural Metriplectic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Anthony Gruber, Haksoo Lim, Kookjin Lee, Nathaniel Trask, Noseong Park","submitted_at":"2024-05-25T17:14:23Z","abstract_excerpt":"Metriplectic systems are learned from data in a way that scales quadratically in both the size of the state and the rank of the metriplectic data. Besides being provably energy conserving and entropy stable, the proposed approach comes with approximation results demonstrating its ability to accurately learn metriplectic dynamics from data as well as an error estimate indicating its potential for generalization to unseen timescales when approximation error is low. Examples are provided which illustrate performance in the presence of both full state information as well as when entropic variables"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.16305","kind":"arxiv","version":3},"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/2405.16305/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":"2026-07-05T10:05:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4zzlRj7Kyx70ZnOZRMBO+Ayum86ktWDLWWGOc6nF1FWOBJ2WS9qVdhhxLsEFRBcjwoXNt+GcFLMDLh7RdEEgCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:12:41.469337Z"},"content_sha256":"21694664763e88ee5510f776eaa40ae3b71da024fad19307e38d541875d5d0f5","schema_version":"1.0","event_id":"sha256:21694664763e88ee5510f776eaa40ae3b71da024fad19307e38d541875d5d0f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KOB4ZJA5UR6F2EPD3GWDMRXK45/bundle.json","state_url":"https://pith.science/pith/KOB4ZJA5UR6F2EPD3GWDMRXK45/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KOB4ZJA5UR6F2EPD3GWDMRXK45/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":"2026-08-10T06:12:41Z","links":{"resolver":"https://pith.science/pith/KOB4ZJA5UR6F2EPD3GWDMRXK45","bundle":"https://pith.science/pith/KOB4ZJA5UR6F2EPD3GWDMRXK45/bundle.json","state":"https://pith.science/pith/KOB4ZJA5UR6F2EPD3GWDMRXK45/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KOB4ZJA5UR6F2EPD3GWDMRXK45/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KOB4ZJA5UR6F2EPD3GWDMRXK45","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":"4186a75781974795bf4883b038b8fcbc91ed978244dbede7d8d88bdcc53fdd0d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-05-25T17:14:23Z","title_canon_sha256":"c288fb7b669f77f168b0dace74f64acb6750ceafa42f6721e9f26fd4a990d6b2"},"schema_version":"1.0","source":{"id":"2405.16305","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.16305","created_at":"2026-07-05T10:05:43Z"},{"alias_kind":"arxiv_version","alias_value":"2405.16305v3","created_at":"2026-07-05T10:05:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.16305","created_at":"2026-07-05T10:05:43Z"},{"alias_kind":"pith_short_12","alias_value":"KOB4ZJA5UR6F","created_at":"2026-07-05T10:05:43Z"},{"alias_kind":"pith_short_16","alias_value":"KOB4ZJA5UR6F2EPD","created_at":"2026-07-05T10:05:43Z"},{"alias_kind":"pith_short_8","alias_value":"KOB4ZJA5","created_at":"2026-07-05T10:05:43Z"}],"graph_snapshots":[{"event_id":"sha256:21694664763e88ee5510f776eaa40ae3b71da024fad19307e38d541875d5d0f5","target":"graph","created_at":"2026-07-05T10:05:43Z","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/2405.16305/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Metriplectic systems are learned from data in a way that scales quadratically in both the size of the state and the rank of the metriplectic data. Besides being provably energy conserving and entropy stable, the proposed approach comes with approximation results demonstrating its ability to accurately learn metriplectic dynamics from data as well as an error estimate indicating its potential for generalization to unseen timescales when approximation error is low. Examples are provided which illustrate performance in the presence of both full state information as well as when entropic variables","authors_text":"Anthony Gruber, Haksoo Lim, Kookjin Lee, Nathaniel Trask, Noseong Park","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-05-25T17:14:23Z","title":"Efficiently Parameterized Neural Metriplectic Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.16305","kind":"arxiv","version":3},"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":"sha256:305756993c9afd43b6e01d6673c9d40208efd9c3b414111a388fa56d825fd41f","target":"record","created_at":"2026-07-05T10:05:43Z","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":"4186a75781974795bf4883b038b8fcbc91ed978244dbede7d8d88bdcc53fdd0d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-05-25T17:14:23Z","title_canon_sha256":"c288fb7b669f77f168b0dace74f64acb6750ceafa42f6721e9f26fd4a990d6b2"},"schema_version":"1.0","source":{"id":"2405.16305","kind":"arxiv","version":3}},"canonical_sha256":"5383cca41da47c5d11e3d9ac3646eae77e4c30e2858770a96a81517d257702e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5383cca41da47c5d11e3d9ac3646eae77e4c30e2858770a96a81517d257702e6","first_computed_at":"2026-07-05T10:05:43.022773Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:05:43.022773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nGCLsRW2xCyWO/Ki8ZGtWZ6Z/LpgzPO4Y7PMWIAXn2nyCHrXxuN4TDHuWiEb9lcge4REB5YYGzLpqrOm+2fbCg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:05:43.023331Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.16305","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:305756993c9afd43b6e01d6673c9d40208efd9c3b414111a388fa56d825fd41f","sha256:21694664763e88ee5510f776eaa40ae3b71da024fad19307e38d541875d5d0f5"],"state_sha256":"4cc8f871c0d7ffb43916b4e64eb8b13c90472121d27c68bc63620a771c60b9a3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QQ5xxPX8gooRRw3Ik0upZy7hrimir+WGbEEEW2oY9+kTwhV6jw6E9Owkf4F+vSw7T6WfOTqxCNLyvw5Nd6xlBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T06:12:41.473917Z","bundle_sha256":"54f5b670f5ac14adcdf3ab1b4f7f94f0ec6bb019fd8ae12f4071cfd1c3e06535"}}