{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:JQSVKSIWTYCTED7TWFG57YD246","short_pith_number":"pith:JQSVKSIW","canonical_record":{"source":{"id":"2401.11694","kind":"arxiv","version":6},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-01-22T05:26:18Z","cross_cats_sorted":["cond-mat.dis-nn","nucl-th","physics.comp-ph","quant-ph"],"title_canon_sha256":"bc0cf25acac6fb1e4ea402fa7671658d1716bf8bde24c8066af1422762d27b03","abstract_canon_sha256":"0fe7934acab2163a874635a5c1b281d637cef4a4ad0967974184bfc6a44bd9ae"},"schema_version":"1.0"},"canonical_sha256":"4c255549169e05320ff3b14ddfe07ae7a0f2bf8c3d6cf1d99889d55a440e2a76","source":{"kind":"arxiv","id":"2401.11694","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.11694","created_at":"2026-07-05T09:57:19Z"},{"alias_kind":"arxiv_version","alias_value":"2401.11694v6","created_at":"2026-07-05T09:57:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.11694","created_at":"2026-07-05T09:57:19Z"},{"alias_kind":"pith_short_12","alias_value":"JQSVKSIWTYCT","created_at":"2026-07-05T09:57:19Z"},{"alias_kind":"pith_short_16","alias_value":"JQSVKSIWTYCTED7T","created_at":"2026-07-05T09:57:19Z"},{"alias_kind":"pith_short_8","alias_value":"JQSVKSIW","created_at":"2026-07-05T09:57:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:JQSVKSIWTYCTED7TWFG57YD246","target":"record","payload":{"canonical_record":{"source":{"id":"2401.11694","kind":"arxiv","version":6},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-01-22T05:26:18Z","cross_cats_sorted":["cond-mat.dis-nn","nucl-th","physics.comp-ph","quant-ph"],"title_canon_sha256":"bc0cf25acac6fb1e4ea402fa7671658d1716bf8bde24c8066af1422762d27b03","abstract_canon_sha256":"0fe7934acab2163a874635a5c1b281d637cef4a4ad0967974184bfc6a44bd9ae"},"schema_version":"1.0"},"canonical_sha256":"4c255549169e05320ff3b14ddfe07ae7a0f2bf8c3d6cf1d99889d55a440e2a76","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:57:19.117093Z","signature_b64":"dJOdI4doEuDk1CkvH14OJvvend1efSGcSLrIWgGDwR/CLJF0Wk3S3CDH1NdKTzGr6ILLMStf414tLTrcYtzzDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c255549169e05320ff3b14ddfe07ae7a0f2bf8c3d6cf1d99889d55a440e2a76","last_reissued_at":"2026-07-05T09:57:19.116731Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:57:19.116731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2401.11694","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:57:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lQeG3CPx7Nvr/9OLZzevUakKEU6HL1csg++XJD9YiNXSq/EHn83v6x1Um5/NGNUk++37s/dTahO2ZFHu1c8MBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T12:40:56.411889Z"},"content_sha256":"c9194eafb24ee928750db19c4f8d890a266d13003294bf6987097734211ecc54","schema_version":"1.0","event_id":"sha256:c9194eafb24ee928750db19c4f8d890a266d13003294bf6987097734211ecc54"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:JQSVKSIWTYCTED7TWFG57YD246","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parametric Matrix Models","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["cond-mat.dis-nn","nucl-th","physics.comp-ph","quant-ph"],"primary_cat":"cs.LG","authors_text":"Daniel D. Lee, Danny Jammooa, Dean Lee, Morten Hjorth-Jensen, Patrick Cook","submitted_at":"2024-01-22T05:26:18Z","abstract_excerpt":"We present a general class of machine learning algorithms called parametric matrix models. In contrast with most existing machine learning models that imitate the biology of neurons, parametric matrix models use matrix equations that emulate physical systems. Similar to how physics problems are usually solved, parametric matrix models learn the governing equations that lead to the desired outputs. Parametric matrix models can be efficiently trained from empirical data, and the equations may use algebraic, differential, or integral relations. While originally designed for scientific computing, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.11694","kind":"arxiv","version":6},"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/2401.11694/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":"2026-07-05T09:57:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JJislYTILyUx2puvN6h9W+FwfX6BloAtn4qvRB66t4sKhtAFJpKyGZzIBlD6K1WTuahK/V29Vt0y/XJ83DlkBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T12:40:56.413523Z"},"content_sha256":"558d5d06ea0339bd1f206358559f216e70ca6c9a51951aeedc7ad34ebb6d1ec1","schema_version":"1.0","event_id":"sha256:558d5d06ea0339bd1f206358559f216e70ca6c9a51951aeedc7ad34ebb6d1ec1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JQSVKSIWTYCTED7TWFG57YD246/bundle.json","state_url":"https://pith.science/pith/JQSVKSIWTYCTED7TWFG57YD246/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JQSVKSIWTYCTED7TWFG57YD246/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":"2026-08-18T12:40:56Z","links":{"resolver":"https://pith.science/pith/JQSVKSIWTYCTED7TWFG57YD246","bundle":"https://pith.science/pith/JQSVKSIWTYCTED7TWFG57YD246/bundle.json","state":"https://pith.science/pith/JQSVKSIWTYCTED7TWFG57YD246/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JQSVKSIWTYCTED7TWFG57YD246/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:JQSVKSIWTYCTED7TWFG57YD246","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":"0fe7934acab2163a874635a5c1b281d637cef4a4ad0967974184bfc6a44bd9ae","cross_cats_sorted":["cond-mat.dis-nn","nucl-th","physics.comp-ph","quant-ph"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-01-22T05:26:18Z","title_canon_sha256":"bc0cf25acac6fb1e4ea402fa7671658d1716bf8bde24c8066af1422762d27b03"},"schema_version":"1.0","source":{"id":"2401.11694","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.11694","created_at":"2026-07-05T09:57:19Z"},{"alias_kind":"arxiv_version","alias_value":"2401.11694v6","created_at":"2026-07-05T09:57:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.11694","created_at":"2026-07-05T09:57:19Z"},{"alias_kind":"pith_short_12","alias_value":"JQSVKSIWTYCT","created_at":"2026-07-05T09:57:19Z"},{"alias_kind":"pith_short_16","alias_value":"JQSVKSIWTYCTED7T","created_at":"2026-07-05T09:57:19Z"},{"alias_kind":"pith_short_8","alias_value":"JQSVKSIW","created_at":"2026-07-05T09:57:19Z"}],"graph_snapshots":[{"event_id":"sha256:558d5d06ea0339bd1f206358559f216e70ca6c9a51951aeedc7ad34ebb6d1ec1","target":"graph","created_at":"2026-07-05T09:57:19Z","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/2401.11694/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a general class of machine learning algorithms called parametric matrix models. In contrast with most existing machine learning models that imitate the biology of neurons, parametric matrix models use matrix equations that emulate physical systems. Similar to how physics problems are usually solved, parametric matrix models learn the governing equations that lead to the desired outputs. Parametric matrix models can be efficiently trained from empirical data, and the equations may use algebraic, differential, or integral relations. While originally designed for scientific computing, ","authors_text":"Daniel D. Lee, Danny Jammooa, Dean Lee, Morten Hjorth-Jensen, Patrick Cook","cross_cats":["cond-mat.dis-nn","nucl-th","physics.comp-ph","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-01-22T05:26:18Z","title":"Parametric Matrix Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.11694","kind":"arxiv","version":6},"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:c9194eafb24ee928750db19c4f8d890a266d13003294bf6987097734211ecc54","target":"record","created_at":"2026-07-05T09:57:19Z","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":"0fe7934acab2163a874635a5c1b281d637cef4a4ad0967974184bfc6a44bd9ae","cross_cats_sorted":["cond-mat.dis-nn","nucl-th","physics.comp-ph","quant-ph"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2024-01-22T05:26:18Z","title_canon_sha256":"bc0cf25acac6fb1e4ea402fa7671658d1716bf8bde24c8066af1422762d27b03"},"schema_version":"1.0","source":{"id":"2401.11694","kind":"arxiv","version":6}},"canonical_sha256":"4c255549169e05320ff3b14ddfe07ae7a0f2bf8c3d6cf1d99889d55a440e2a76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c255549169e05320ff3b14ddfe07ae7a0f2bf8c3d6cf1d99889d55a440e2a76","first_computed_at":"2026-07-05T09:57:19.116731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:57:19.116731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dJOdI4doEuDk1CkvH14OJvvend1efSGcSLrIWgGDwR/CLJF0Wk3S3CDH1NdKTzGr6ILLMStf414tLTrcYtzzDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:57:19.117093Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.11694","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9194eafb24ee928750db19c4f8d890a266d13003294bf6987097734211ecc54","sha256:558d5d06ea0339bd1f206358559f216e70ca6c9a51951aeedc7ad34ebb6d1ec1"],"state_sha256":"5a0a7b96e6e745bae1931541efed0cc1b665fba0b1c23200d815318bd44c3533"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3ybR02ySS3uuvVDR2r20uHUpGsPNKBapxC0VE74VSnPVf+00at/IcnliSjmCqnCUi8yg7tZrVfwMRmPqc0KhBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T12:40:56.421910Z","bundle_sha256":"8811bc1c6d0120e9e1ee01a342eb029ab40e13384c74d772dd5e340375f76aaa"}}