{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:BV46YG37DAV7HFS5TMQMJTFEG2","short_pith_number":"pith:BV46YG37","canonical_record":{"source":{"id":"2202.13129","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2022-02-26T12:39:19Z","cross_cats_sorted":["cs.CE","cs.LG"],"title_canon_sha256":"2f7c9cca9e7cb11e4a368d0d6869b94c48259969395d08754e0769286c3a6834","abstract_canon_sha256":"3c644c43b139302eabf37752576c6c04bfd405f0fd6cecfd8159755ee35ad3f1"},"schema_version":"1.0"},"canonical_sha256":"0d79ec1b7f182bf3965d9b20c4cca436b43c23b02da1ff1ef034990131797831","source":{"kind":"arxiv","id":"2202.13129","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.13129","created_at":"2026-07-05T04:13:51Z"},{"alias_kind":"arxiv_version","alias_value":"2202.13129v1","created_at":"2026-07-05T04:13:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.13129","created_at":"2026-07-05T04:13:51Z"},{"alias_kind":"pith_short_12","alias_value":"BV46YG37DAV7","created_at":"2026-07-05T04:13:51Z"},{"alias_kind":"pith_short_16","alias_value":"BV46YG37DAV7HFS5","created_at":"2026-07-05T04:13:51Z"},{"alias_kind":"pith_short_8","alias_value":"BV46YG37","created_at":"2026-07-05T04:13:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:BV46YG37DAV7HFS5TMQMJTFEG2","target":"record","payload":{"canonical_record":{"source":{"id":"2202.13129","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2022-02-26T12:39:19Z","cross_cats_sorted":["cs.CE","cs.LG"],"title_canon_sha256":"2f7c9cca9e7cb11e4a368d0d6869b94c48259969395d08754e0769286c3a6834","abstract_canon_sha256":"3c644c43b139302eabf37752576c6c04bfd405f0fd6cecfd8159755ee35ad3f1"},"schema_version":"1.0"},"canonical_sha256":"0d79ec1b7f182bf3965d9b20c4cca436b43c23b02da1ff1ef034990131797831","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:13:51.614530Z","signature_b64":"WBzvzUdSgFilnd51j1WrFhYCgAQK00nfS3qvEU6LKOFqdR1pv31VlfZmeL6fFmaZd8/8hTmM0sqwBbIGN7QlAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d79ec1b7f182bf3965d9b20c4cca436b43c23b02da1ff1ef034990131797831","last_reissued_at":"2026-07-05T04:13:51.614090Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:13:51.614090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2202.13129","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":"2026-07-05T04:13:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DzdzojUluvMjs8TZd57/y2Wniuo2NaC8tp4xOyUmOcpE/tqCkd8YHNeGrUkhGv2aZJTNJutMmrzM5K+p6DY+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T03:35:48.411059Z"},"content_sha256":"31cf2a3106345cd5ee2a4df00eac1100be4b1cbfb3176dc3521419da014f8773","schema_version":"1.0","event_id":"sha256:31cf2a3106345cd5ee2a4df00eac1100be4b1cbfb3176dc3521419da014f8773"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:BV46YG37DAV7HFS5TMQMJTFEG2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Direct data-driven forecast of local turbulent heat flux in Rayleigh-B\\'{e}nard convection","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CE","cs.LG"],"primary_cat":"physics.flu-dyn","authors_text":"J\\\"org Schumacher, Patrick M\\\"ader, Philipp Teutsch, Sandeep Pandey","submitted_at":"2022-02-26T12:39:19Z","abstract_excerpt":"A combined convolutional autoencoder-recurrent neural network machine learning model is presented to analyse and forecast the dynamics and low-order statistics of the local convective heat flux field in a two-dimensional turbulent Rayleigh-B\\'{e}nard convection flow at Prandtl number ${\\rm Pr}=7$ and Rayleigh number ${\\rm Ra}=10^7$. Two recurrent neural networks are applied for the temporal advancement of flow data in the reduced latent data space, a reservoir computing model in the form of an echo state network and a recurrent gated unit. Thereby, the present work exploits the modular combina"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.13129","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/2202.13129/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":"2026-07-05T04:13:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eaIR08xcwSniqSo0cqFDRhOFwReAwdTOQ00Fy1CzcI85jtPVl4yL9DLZLFduU7JMpkLRxWAeIaFReaIq3B1NAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T03:35:48.411450Z"},"content_sha256":"df3d32063614e118e805c07fbd5e332d1c6d6cfc4ef5ac558b89e80d06ef77ed","schema_version":"1.0","event_id":"sha256:df3d32063614e118e805c07fbd5e332d1c6d6cfc4ef5ac558b89e80d06ef77ed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BV46YG37DAV7HFS5TMQMJTFEG2/bundle.json","state_url":"https://pith.science/pith/BV46YG37DAV7HFS5TMQMJTFEG2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BV46YG37DAV7HFS5TMQMJTFEG2/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":"2026-07-09T03:35:48Z","links":{"resolver":"https://pith.science/pith/BV46YG37DAV7HFS5TMQMJTFEG2","bundle":"https://pith.science/pith/BV46YG37DAV7HFS5TMQMJTFEG2/bundle.json","state":"https://pith.science/pith/BV46YG37DAV7HFS5TMQMJTFEG2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BV46YG37DAV7HFS5TMQMJTFEG2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:BV46YG37DAV7HFS5TMQMJTFEG2","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":"3c644c43b139302eabf37752576c6c04bfd405f0fd6cecfd8159755ee35ad3f1","cross_cats_sorted":["cs.CE","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2022-02-26T12:39:19Z","title_canon_sha256":"2f7c9cca9e7cb11e4a368d0d6869b94c48259969395d08754e0769286c3a6834"},"schema_version":"1.0","source":{"id":"2202.13129","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.13129","created_at":"2026-07-05T04:13:51Z"},{"alias_kind":"arxiv_version","alias_value":"2202.13129v1","created_at":"2026-07-05T04:13:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.13129","created_at":"2026-07-05T04:13:51Z"},{"alias_kind":"pith_short_12","alias_value":"BV46YG37DAV7","created_at":"2026-07-05T04:13:51Z"},{"alias_kind":"pith_short_16","alias_value":"BV46YG37DAV7HFS5","created_at":"2026-07-05T04:13:51Z"},{"alias_kind":"pith_short_8","alias_value":"BV46YG37","created_at":"2026-07-05T04:13:51Z"}],"graph_snapshots":[{"event_id":"sha256:df3d32063614e118e805c07fbd5e332d1c6d6cfc4ef5ac558b89e80d06ef77ed","target":"graph","created_at":"2026-07-05T04:13:51Z","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/2202.13129/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A combined convolutional autoencoder-recurrent neural network machine learning model is presented to analyse and forecast the dynamics and low-order statistics of the local convective heat flux field in a two-dimensional turbulent Rayleigh-B\\'{e}nard convection flow at Prandtl number ${\\rm Pr}=7$ and Rayleigh number ${\\rm Ra}=10^7$. Two recurrent neural networks are applied for the temporal advancement of flow data in the reduced latent data space, a reservoir computing model in the form of an echo state network and a recurrent gated unit. Thereby, the present work exploits the modular combina","authors_text":"J\\\"org Schumacher, Patrick M\\\"ader, Philipp Teutsch, Sandeep Pandey","cross_cats":["cs.CE","cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2022-02-26T12:39:19Z","title":"Direct data-driven forecast of local turbulent heat flux in Rayleigh-B\\'{e}nard convection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.13129","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":"sha256:31cf2a3106345cd5ee2a4df00eac1100be4b1cbfb3176dc3521419da014f8773","target":"record","created_at":"2026-07-05T04:13:51Z","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":"3c644c43b139302eabf37752576c6c04bfd405f0fd6cecfd8159755ee35ad3f1","cross_cats_sorted":["cs.CE","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2022-02-26T12:39:19Z","title_canon_sha256":"2f7c9cca9e7cb11e4a368d0d6869b94c48259969395d08754e0769286c3a6834"},"schema_version":"1.0","source":{"id":"2202.13129","kind":"arxiv","version":1}},"canonical_sha256":"0d79ec1b7f182bf3965d9b20c4cca436b43c23b02da1ff1ef034990131797831","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d79ec1b7f182bf3965d9b20c4cca436b43c23b02da1ff1ef034990131797831","first_computed_at":"2026-07-05T04:13:51.614090Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:13:51.614090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WBzvzUdSgFilnd51j1WrFhYCgAQK00nfS3qvEU6LKOFqdR1pv31VlfZmeL6fFmaZd8/8hTmM0sqwBbIGN7QlAA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:13:51.614530Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.13129","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31cf2a3106345cd5ee2a4df00eac1100be4b1cbfb3176dc3521419da014f8773","sha256:df3d32063614e118e805c07fbd5e332d1c6d6cfc4ef5ac558b89e80d06ef77ed"],"state_sha256":"e47c2ce099753090236760071615e76132b4acfce842dad522aad1f6dcf5b5bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tGeFDXqUs0xpaBNhc0xlJizJBre1gOPIGqm7AZAVQXHEp8tVHrKmyvu8hEDG3lo9o1NkHRo1cvHlWkGQw6rBBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-09T03:35:48.413407Z","bundle_sha256":"38a106a65727cbf68d27c1f6545a1046d055f472ccd782ad7a739399ca02ec8f"}}