{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:RDKOLTUXAYOAAJYXRUCMMKVR6O","short_pith_number":"pith:RDKOLTUX","canonical_record":{"source":{"id":"2306.04406","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-06-07T13:04:34Z","cross_cats_sorted":["cs.AI","math.DS","nlin.CD"],"title_canon_sha256":"272048ad51567cb8ea0ab82ad57be66ea2a148434f66e254f45b8bb0c6c7fd64","abstract_canon_sha256":"3ae41b1d5ec177b3e47bd8914f5b6279294bdb9d235803b8f78361e1de38b6b7"},"schema_version":"1.0"},"canonical_sha256":"88d4e5ce97061c0027178d04c62ab1f38e19423d50f958bbf83e5f493e44f291","source":{"kind":"arxiv","id":"2306.04406","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.04406","created_at":"2026-07-05T07:05:44Z"},{"alias_kind":"arxiv_version","alias_value":"2306.04406v2","created_at":"2026-07-05T07:05:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.04406","created_at":"2026-07-05T07:05:44Z"},{"alias_kind":"pith_short_12","alias_value":"RDKOLTUXAYOA","created_at":"2026-07-05T07:05:44Z"},{"alias_kind":"pith_short_16","alias_value":"RDKOLTUXAYOAAJYX","created_at":"2026-07-05T07:05:44Z"},{"alias_kind":"pith_short_8","alias_value":"RDKOLTUX","created_at":"2026-07-05T07:05:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:RDKOLTUXAYOAAJYXRUCMMKVR6O","target":"record","payload":{"canonical_record":{"source":{"id":"2306.04406","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-06-07T13:04:34Z","cross_cats_sorted":["cs.AI","math.DS","nlin.CD"],"title_canon_sha256":"272048ad51567cb8ea0ab82ad57be66ea2a148434f66e254f45b8bb0c6c7fd64","abstract_canon_sha256":"3ae41b1d5ec177b3e47bd8914f5b6279294bdb9d235803b8f78361e1de38b6b7"},"schema_version":"1.0"},"canonical_sha256":"88d4e5ce97061c0027178d04c62ab1f38e19423d50f958bbf83e5f493e44f291","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:05:44.222025Z","signature_b64":"a1vz9+bpVZCTAE5fn+PCGQGsXMSSYOic5jqwI4DhHstbi5CJ8EpwHWqxDs2dzNd8lNW82fIyH4V57P4rmnpBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88d4e5ce97061c0027178d04c62ab1f38e19423d50f958bbf83e5f493e44f291","last_reissued_at":"2026-07-05T07:05:44.221549Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:05:44.221549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.04406","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":"2026-07-05T07:05:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ZW7b0py08QqFo3nYi8K/ACqsnjDim0aHiaq7qixLgB27f44/MieC2qvEIdoGjJACA1xTxLS8KCFGsm4HvXnDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-19T05:00:46.021299Z"},"content_sha256":"1c804e3d050d5f2ac6a5cebc2c58728697ef6bf724dae86b7a39d407614a2a12","schema_version":"1.0","event_id":"sha256:1c804e3d050d5f2ac6a5cebc2c58728697ef6bf724dae86b7a39d407614a2a12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:RDKOLTUXAYOAAJYXRUCMMKVR6O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Teacher Forcing for Learning Chaotic Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","math.DS","nlin.CD"],"primary_cat":"cs.LG","authors_text":"Daniel Durstewitz, Florian Hess, Manuel Brenner, Zahra Monfared","submitted_at":"2023-06-07T13:04:34Z","abstract_excerpt":"Chaotic dynamical systems (DS) are ubiquitous in nature and society. Often we are interested in reconstructing such systems from observed time series for prediction or mechanistic insight, where by reconstruction we mean learning geometrical and invariant temporal properties of the system in question (like attractors). However, training reconstruction algorithms like recurrent neural networks (RNNs) on such systems by gradient-descent based techniques faces severe challenges. This is mainly due to exploding gradients caused by the exponential divergence of trajectories in chaotic systems. More"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.04406","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/2306.04406/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":"2026-07-05T07:05:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DPayBvW81USGIrcChvAK04B0MbB7R5o6kJnxg51Q2O0x00IjjG9NAWhu3LJ9Ezq8drle39ed/nHzJ4B9pPY8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-19T05:00:46.021682Z"},"content_sha256":"ddd571f5f5c7135e8da8896a0a19f9c54506a4c48654b29a518d967e8ba925b7","schema_version":"1.0","event_id":"sha256:ddd571f5f5c7135e8da8896a0a19f9c54506a4c48654b29a518d967e8ba925b7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RDKOLTUXAYOAAJYXRUCMMKVR6O/bundle.json","state_url":"https://pith.science/pith/RDKOLTUXAYOAAJYXRUCMMKVR6O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RDKOLTUXAYOAAJYXRUCMMKVR6O/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":"2026-07-19T05:00:46Z","links":{"resolver":"https://pith.science/pith/RDKOLTUXAYOAAJYXRUCMMKVR6O","bundle":"https://pith.science/pith/RDKOLTUXAYOAAJYXRUCMMKVR6O/bundle.json","state":"https://pith.science/pith/RDKOLTUXAYOAAJYXRUCMMKVR6O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RDKOLTUXAYOAAJYXRUCMMKVR6O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RDKOLTUXAYOAAJYXRUCMMKVR6O","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":"3ae41b1d5ec177b3e47bd8914f5b6279294bdb9d235803b8f78361e1de38b6b7","cross_cats_sorted":["cs.AI","math.DS","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-06-07T13:04:34Z","title_canon_sha256":"272048ad51567cb8ea0ab82ad57be66ea2a148434f66e254f45b8bb0c6c7fd64"},"schema_version":"1.0","source":{"id":"2306.04406","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.04406","created_at":"2026-07-05T07:05:44Z"},{"alias_kind":"arxiv_version","alias_value":"2306.04406v2","created_at":"2026-07-05T07:05:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.04406","created_at":"2026-07-05T07:05:44Z"},{"alias_kind":"pith_short_12","alias_value":"RDKOLTUXAYOA","created_at":"2026-07-05T07:05:44Z"},{"alias_kind":"pith_short_16","alias_value":"RDKOLTUXAYOAAJYX","created_at":"2026-07-05T07:05:44Z"},{"alias_kind":"pith_short_8","alias_value":"RDKOLTUX","created_at":"2026-07-05T07:05:44Z"}],"graph_snapshots":[{"event_id":"sha256:ddd571f5f5c7135e8da8896a0a19f9c54506a4c48654b29a518d967e8ba925b7","target":"graph","created_at":"2026-07-05T07:05:44Z","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/2306.04406/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Chaotic dynamical systems (DS) are ubiquitous in nature and society. Often we are interested in reconstructing such systems from observed time series for prediction or mechanistic insight, where by reconstruction we mean learning geometrical and invariant temporal properties of the system in question (like attractors). However, training reconstruction algorithms like recurrent neural networks (RNNs) on such systems by gradient-descent based techniques faces severe challenges. This is mainly due to exploding gradients caused by the exponential divergence of trajectories in chaotic systems. More","authors_text":"Daniel Durstewitz, Florian Hess, Manuel Brenner, Zahra Monfared","cross_cats":["cs.AI","math.DS","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-06-07T13:04:34Z","title":"Generalized Teacher Forcing for Learning Chaotic Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.04406","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":"sha256:1c804e3d050d5f2ac6a5cebc2c58728697ef6bf724dae86b7a39d407614a2a12","target":"record","created_at":"2026-07-05T07:05:44Z","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":"3ae41b1d5ec177b3e47bd8914f5b6279294bdb9d235803b8f78361e1de38b6b7","cross_cats_sorted":["cs.AI","math.DS","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-06-07T13:04:34Z","title_canon_sha256":"272048ad51567cb8ea0ab82ad57be66ea2a148434f66e254f45b8bb0c6c7fd64"},"schema_version":"1.0","source":{"id":"2306.04406","kind":"arxiv","version":2}},"canonical_sha256":"88d4e5ce97061c0027178d04c62ab1f38e19423d50f958bbf83e5f493e44f291","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88d4e5ce97061c0027178d04c62ab1f38e19423d50f958bbf83e5f493e44f291","first_computed_at":"2026-07-05T07:05:44.221549Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:05:44.221549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a1vz9+bpVZCTAE5fn+PCGQGsXMSSYOic5jqwI4DhHstbi5CJ8EpwHWqxDs2dzNd8lNW82fIyH4V57P4rmnpBDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:05:44.222025Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.04406","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c804e3d050d5f2ac6a5cebc2c58728697ef6bf724dae86b7a39d407614a2a12","sha256:ddd571f5f5c7135e8da8896a0a19f9c54506a4c48654b29a518d967e8ba925b7"],"state_sha256":"254d34974d17014465264b76d081028b617e5f07be654fdc61426c8faee1aa53"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4nzSw7UGFbA8vMxq9IEkFHgZzpSLEsDSC8iMWZyxnNSmH2ioDi33aevhJ0wXxmKmHF8lRTuFyjn/BwTD6j64DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-19T05:00:46.023785Z","bundle_sha256":"52194451ad7d69f827b9c6ef905ada150e098cd05fbe712603c02ac20d38a350"}}