{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:MRY2UGL7ETFCG4F7VHQ7K7WI44","short_pith_number":"pith:MRY2UGL7","canonical_record":{"source":{"id":"2509.00848","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2025-08-31T13:44:33Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"a870274a1ced679139bfceda49693dc13b2abd19e075058611e90aba52019470","abstract_canon_sha256":"d5bb92b65c9f68c94e0e2842086956b9695b433b8e5704de7a9f4a207fa402e1"},"schema_version":"1.0"},"canonical_sha256":"6471aa197f24ca2370bfa9e1f57ec8e711669157f4f86fa6a9e5149415379570","source":{"kind":"arxiv","id":"2509.00848","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.00848","created_at":"2026-06-11T01:10:27Z"},{"alias_kind":"arxiv_version","alias_value":"2509.00848v2","created_at":"2026-06-11T01:10:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.00848","created_at":"2026-06-11T01:10:27Z"},{"alias_kind":"pith_short_12","alias_value":"MRY2UGL7ETFC","created_at":"2026-06-11T01:10:27Z"},{"alias_kind":"pith_short_16","alias_value":"MRY2UGL7ETFCG4F7","created_at":"2026-06-11T01:10:27Z"},{"alias_kind":"pith_short_8","alias_value":"MRY2UGL7","created_at":"2026-06-11T01:10:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:MRY2UGL7ETFCG4F7VHQ7K7WI44","target":"record","payload":{"canonical_record":{"source":{"id":"2509.00848","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2025-08-31T13:44:33Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"a870274a1ced679139bfceda49693dc13b2abd19e075058611e90aba52019470","abstract_canon_sha256":"d5bb92b65c9f68c94e0e2842086956b9695b433b8e5704de7a9f4a207fa402e1"},"schema_version":"1.0"},"canonical_sha256":"6471aa197f24ca2370bfa9e1f57ec8e711669157f4f86fa6a9e5149415379570","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-11T01:10:27.660073Z","signature_b64":"dnzDfmpF14cgGDJgSQEqFZb4+/tAbKxLS/h6Smm3YbxQV/VKQZs9ywatMh4oTEbCYf96qGeoPgtOfGINNTcWAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6471aa197f24ca2370bfa9e1f57ec8e711669157f4f86fa6a9e5149415379570","last_reissued_at":"2026-06-11T01:10:27.659156Z","signature_status":"signed_v1","first_computed_at":"2026-06-11T01:10:27.659156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.00848","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":"2026-06-11T01:10:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7l8kmEIdYyCkg/47RmtX6lYSceETtQqtk413QSnB+mbL6LsvtWEBbs9b9EvTTbaBbkVGEkALg9viQZ/dplM0CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T17:22:15.955898Z"},"content_sha256":"263c45e853a8a2ab047c11d71f6d838047e24c1abeddf139623d1da5ab589cd7","schema_version":"1.0","event_id":"sha256:263c45e853a8a2ab047c11d71f6d838047e24c1abeddf139623d1da5ab589cd7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:MRY2UGL7ETFCG4F7VHQ7K7WI44","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Designing learning in high dimensional oscillator networks with low dimensional read-out","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"nlin.CD","authors_text":"Thomas Geert de Jong","submitted_at":"2025-08-31T13:44:33Z","abstract_excerpt":"In this paper we investigate a oscillator network based reservoir computer with a large number of oscillators and a low dimensional read-out. The read-out is a function on the average phases with respect to each oscillator population. Hence, this read-out provides a robust measurement of the oscillator states. We consider a low number of populations which leads to a low-dimensional read-out. Here, the task is time-series prediction. The input time-series is introduced via a forcing term. After a training phase the input is learned. Importantly, the training weights are introduced in the forcin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.00848","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/2509.00848/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":"2026-06-11T01:10:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IubX2Z4u/ff1ZBpq3mOJ3wTwesf3s9vea4JukBgGOi2sttOm5dqBtXlh1x5wXdeekbZk7ZTs6nPRLYfMvqUHAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T17:22:15.956424Z"},"content_sha256":"b3f3d2042987ed1e3f1a6eeafd8a1e3abe581acbcbbc5342eb826c654c4b71a5","schema_version":"1.0","event_id":"sha256:b3f3d2042987ed1e3f1a6eeafd8a1e3abe581acbcbbc5342eb826c654c4b71a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MRY2UGL7ETFCG4F7VHQ7K7WI44/bundle.json","state_url":"https://pith.science/pith/MRY2UGL7ETFCG4F7VHQ7K7WI44/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MRY2UGL7ETFCG4F7VHQ7K7WI44/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":"2026-08-14T17:22:15Z","links":{"resolver":"https://pith.science/pith/MRY2UGL7ETFCG4F7VHQ7K7WI44","bundle":"https://pith.science/pith/MRY2UGL7ETFCG4F7VHQ7K7WI44/bundle.json","state":"https://pith.science/pith/MRY2UGL7ETFCG4F7VHQ7K7WI44/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MRY2UGL7ETFCG4F7VHQ7K7WI44/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:MRY2UGL7ETFCG4F7VHQ7K7WI44","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":"d5bb92b65c9f68c94e0e2842086956b9695b433b8e5704de7a9f4a207fa402e1","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2025-08-31T13:44:33Z","title_canon_sha256":"a870274a1ced679139bfceda49693dc13b2abd19e075058611e90aba52019470"},"schema_version":"1.0","source":{"id":"2509.00848","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.00848","created_at":"2026-06-11T01:10:27Z"},{"alias_kind":"arxiv_version","alias_value":"2509.00848v2","created_at":"2026-06-11T01:10:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.00848","created_at":"2026-06-11T01:10:27Z"},{"alias_kind":"pith_short_12","alias_value":"MRY2UGL7ETFC","created_at":"2026-06-11T01:10:27Z"},{"alias_kind":"pith_short_16","alias_value":"MRY2UGL7ETFCG4F7","created_at":"2026-06-11T01:10:27Z"},{"alias_kind":"pith_short_8","alias_value":"MRY2UGL7","created_at":"2026-06-11T01:10:27Z"}],"graph_snapshots":[{"event_id":"sha256:b3f3d2042987ed1e3f1a6eeafd8a1e3abe581acbcbbc5342eb826c654c4b71a5","target":"graph","created_at":"2026-06-11T01:10:27Z","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/2509.00848/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we investigate a oscillator network based reservoir computer with a large number of oscillators and a low dimensional read-out. The read-out is a function on the average phases with respect to each oscillator population. Hence, this read-out provides a robust measurement of the oscillator states. We consider a low number of populations which leads to a low-dimensional read-out. Here, the task is time-series prediction. The input time-series is introduced via a forcing term. After a training phase the input is learned. Importantly, the training weights are introduced in the forcin","authors_text":"Thomas Geert de Jong","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2025-08-31T13:44:33Z","title":"Designing learning in high dimensional oscillator networks with low dimensional read-out"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.00848","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":"sha256:263c45e853a8a2ab047c11d71f6d838047e24c1abeddf139623d1da5ab589cd7","target":"record","created_at":"2026-06-11T01:10:27Z","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":"d5bb92b65c9f68c94e0e2842086956b9695b433b8e5704de7a9f4a207fa402e1","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2025-08-31T13:44:33Z","title_canon_sha256":"a870274a1ced679139bfceda49693dc13b2abd19e075058611e90aba52019470"},"schema_version":"1.0","source":{"id":"2509.00848","kind":"arxiv","version":2}},"canonical_sha256":"6471aa197f24ca2370bfa9e1f57ec8e711669157f4f86fa6a9e5149415379570","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6471aa197f24ca2370bfa9e1f57ec8e711669157f4f86fa6a9e5149415379570","first_computed_at":"2026-06-11T01:10:27.659156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-11T01:10:27.659156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dnzDfmpF14cgGDJgSQEqFZb4+/tAbKxLS/h6Smm3YbxQV/VKQZs9ywatMh4oTEbCYf96qGeoPgtOfGINNTcWAQ==","signature_status":"signed_v1","signed_at":"2026-06-11T01:10:27.660073Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.00848","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:263c45e853a8a2ab047c11d71f6d838047e24c1abeddf139623d1da5ab589cd7","sha256:b3f3d2042987ed1e3f1a6eeafd8a1e3abe581acbcbbc5342eb826c654c4b71a5"],"state_sha256":"94c9b5262859c23f564ea17516f4198f8346bbdf730bbe640d5c76c2b40fb0f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I0rUaDhGygnHr301qheWUrQu2qzFFZEslY917opPiZJ0MBV97sdf2fLexfrGWUuWRgv7nYASEn+62006LrtPBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T17:22:15.961874Z","bundle_sha256":"bacb26464c098f549007e7368d22980b01bea69816cb763c0b54b9ca2f34f199"}}