{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3SZ3P2ZIU3D3ACDKXK3E3VBQ7O","short_pith_number":"pith:3SZ3P2ZI","canonical_record":{"source":{"id":"1509.03508","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-09-11T13:52:18Z","cross_cats_sorted":[],"title_canon_sha256":"37e89a6b58dc9fcf8fb335e7d4489e2259b8d391512efa2f293c1f90cc0c6eb1","abstract_canon_sha256":"1680dc2bdf6d82f7eb7fccac64a8d7923fcaf36e851f8840d1196abd3a51aad7"},"schema_version":"1.0"},"canonical_sha256":"dcb3b7eb28a6c7b0086abab64dd430fba6a0407151e3e6a2209dfaa009f03a09","source":{"kind":"arxiv","id":"1509.03508","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03508","created_at":"2026-05-18T01:20:11Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03508v1","created_at":"2026-05-18T01:20:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03508","created_at":"2026-05-18T01:20:11Z"},{"alias_kind":"pith_short_12","alias_value":"3SZ3P2ZIU3D3","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3SZ3P2ZIU3D3ACDK","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3SZ3P2ZI","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3SZ3P2ZIU3D3ACDKXK3E3VBQ7O","target":"record","payload":{"canonical_record":{"source":{"id":"1509.03508","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-09-11T13:52:18Z","cross_cats_sorted":[],"title_canon_sha256":"37e89a6b58dc9fcf8fb335e7d4489e2259b8d391512efa2f293c1f90cc0c6eb1","abstract_canon_sha256":"1680dc2bdf6d82f7eb7fccac64a8d7923fcaf36e851f8840d1196abd3a51aad7"},"schema_version":"1.0"},"canonical_sha256":"dcb3b7eb28a6c7b0086abab64dd430fba6a0407151e3e6a2209dfaa009f03a09","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:11.256611Z","signature_b64":"jQb91PCnJ/ZoQc0F9Xzo2mtgvEO9HxERRatjCJo8REqoBOvpZ0RmdwDbELn0m90X/mW/OKhiRqsB7ZRBz+UgDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcb3b7eb28a6c7b0086abab64dd430fba6a0407151e3e6a2209dfaa009f03a09","last_reissued_at":"2026-05-18T01:20:11.256028Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:11.256028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.03508","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":"2026-05-18T01:20:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Ooizxv4y2i/RcWQFIwKkxIgLevJHigkp+9sgwdhGFHVilTZR0cE1Yp90U7LzsJxBT1ZmfmsccFnaFGX+kufBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T14:24:17.407701Z"},"content_sha256":"942937519dc389b7c12e534b8223150479aafa2f50709c3ca6a74878c9ce04f0","schema_version":"1.0","event_id":"sha256:942937519dc389b7c12e534b8223150479aafa2f50709c3ca6a74878c9ce04f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3SZ3P2ZIU3D3ACDKXK3E3VBQ7O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal lengthscale for a turbulent dynamo","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Alexandros Alexakis, Mira Sadek, Stephan Fauve","submitted_at":"2015-09-11T13:52:18Z","abstract_excerpt":"We demonstrate that there is an optimal forcing length scale for low Prandtl number dynamo flows, that can significantly reduce the required energy injection rate. The investigation is based on simulations of the induction equation in a periodic box of size $2\\pi L$. The flows considered are turbulent ABC flows forced at different forcing wavenumbers $k_f$ simulated using a subgrid turbulent model. The critical magnetic Reynolds number $Rm_c^T$ decreases as the forcing wavenumber $k_f$ increases from the smallest allowed $k_{min}=1/L$. At large $k_f$ on the other hand, $Rm_c^T$ increases with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03508","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":""},"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":"2026-05-18T01:20:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Siv1Z0caDu7G43KTxkxbonx2XK7Jz+Aqk8/WPio8Xvgw4RJht6vsLYTmKCtzu5c73+SbZmDPQLtfKjJoLH6kCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T14:24:17.408442Z"},"content_sha256":"80afb37a7f6a7708ed22896871886d83756f26e7ce681a0411d4ddf2ad397c37","schema_version":"1.0","event_id":"sha256:80afb37a7f6a7708ed22896871886d83756f26e7ce681a0411d4ddf2ad397c37"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3SZ3P2ZIU3D3ACDKXK3E3VBQ7O/bundle.json","state_url":"https://pith.science/pith/3SZ3P2ZIU3D3ACDKXK3E3VBQ7O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3SZ3P2ZIU3D3ACDKXK3E3VBQ7O/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":"2026-05-22T14:24:17Z","links":{"resolver":"https://pith.science/pith/3SZ3P2ZIU3D3ACDKXK3E3VBQ7O","bundle":"https://pith.science/pith/3SZ3P2ZIU3D3ACDKXK3E3VBQ7O/bundle.json","state":"https://pith.science/pith/3SZ3P2ZIU3D3ACDKXK3E3VBQ7O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3SZ3P2ZIU3D3ACDKXK3E3VBQ7O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3SZ3P2ZIU3D3ACDKXK3E3VBQ7O","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":"1680dc2bdf6d82f7eb7fccac64a8d7923fcaf36e851f8840d1196abd3a51aad7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-09-11T13:52:18Z","title_canon_sha256":"37e89a6b58dc9fcf8fb335e7d4489e2259b8d391512efa2f293c1f90cc0c6eb1"},"schema_version":"1.0","source":{"id":"1509.03508","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03508","created_at":"2026-05-18T01:20:11Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03508v1","created_at":"2026-05-18T01:20:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03508","created_at":"2026-05-18T01:20:11Z"},{"alias_kind":"pith_short_12","alias_value":"3SZ3P2ZIU3D3","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3SZ3P2ZIU3D3ACDK","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3SZ3P2ZI","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:80afb37a7f6a7708ed22896871886d83756f26e7ce681a0411d4ddf2ad397c37","target":"graph","created_at":"2026-05-18T01:20:11Z","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"},"paper":{"abstract_excerpt":"We demonstrate that there is an optimal forcing length scale for low Prandtl number dynamo flows, that can significantly reduce the required energy injection rate. The investigation is based on simulations of the induction equation in a periodic box of size $2\\pi L$. The flows considered are turbulent ABC flows forced at different forcing wavenumbers $k_f$ simulated using a subgrid turbulent model. The critical magnetic Reynolds number $Rm_c^T$ decreases as the forcing wavenumber $k_f$ increases from the smallest allowed $k_{min}=1/L$. At large $k_f$ on the other hand, $Rm_c^T$ increases with ","authors_text":"Alexandros Alexakis, Mira Sadek, Stephan Fauve","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-09-11T13:52:18Z","title":"Optimal lengthscale for a turbulent dynamo"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03508","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":"sha256:942937519dc389b7c12e534b8223150479aafa2f50709c3ca6a74878c9ce04f0","target":"record","created_at":"2026-05-18T01:20:11Z","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":"1680dc2bdf6d82f7eb7fccac64a8d7923fcaf36e851f8840d1196abd3a51aad7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-09-11T13:52:18Z","title_canon_sha256":"37e89a6b58dc9fcf8fb335e7d4489e2259b8d391512efa2f293c1f90cc0c6eb1"},"schema_version":"1.0","source":{"id":"1509.03508","kind":"arxiv","version":1}},"canonical_sha256":"dcb3b7eb28a6c7b0086abab64dd430fba6a0407151e3e6a2209dfaa009f03a09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dcb3b7eb28a6c7b0086abab64dd430fba6a0407151e3e6a2209dfaa009f03a09","first_computed_at":"2026-05-18T01:20:11.256028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:11.256028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jQb91PCnJ/ZoQc0F9Xzo2mtgvEO9HxERRatjCJo8REqoBOvpZ0RmdwDbELn0m90X/mW/OKhiRqsB7ZRBz+UgDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:11.256611Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03508","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:942937519dc389b7c12e534b8223150479aafa2f50709c3ca6a74878c9ce04f0","sha256:80afb37a7f6a7708ed22896871886d83756f26e7ce681a0411d4ddf2ad397c37"],"state_sha256":"1e2a81d13a99a5b7b7e1158e04c3b4bfbdea83abaab0392026e95c39a7ad7e30"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sgunDrG7tV7qrWKPNTnxNr/5wVBWdPnxJVfsfXG6UNv0BCuEJT+qONlpISK32KvUnFFajljZ+N1YP5HkCipmCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T14:24:17.412370Z","bundle_sha256":"2c9ac464680224e4f5e33dd79b9af936887be4a7bde5e0fb78c1df2604b1f2c4"}}