{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:PCE7NUYMG75NRUM5C527NAPWE7","short_pith_number":"pith:PCE7NUYM","canonical_record":{"source":{"id":"1405.4091","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2014-05-16T08:34:26Z","cross_cats_sorted":[],"title_canon_sha256":"ccc193098d385fd0566d30f903ac31f9f00385eda2b9ce9c44b9e77b90ca54fc","abstract_canon_sha256":"06145afc9bf5da777eeaaeca2ae25f13d330cb8086a698b6e39796ca33380673"},"schema_version":"1.0"},"canonical_sha256":"7889f6d30c37fad8d19d1775f681f627cd57c8a32706e83d4c24f4082a5e8726","source":{"kind":"arxiv","id":"1405.4091","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4091","created_at":"2026-05-18T01:43:11Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4091v1","created_at":"2026-05-18T01:43:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4091","created_at":"2026-05-18T01:43:11Z"},{"alias_kind":"pith_short_12","alias_value":"PCE7NUYMG75N","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PCE7NUYMG75NRUM5","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PCE7NUYM","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:PCE7NUYMG75NRUM5C527NAPWE7","target":"record","payload":{"canonical_record":{"source":{"id":"1405.4091","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2014-05-16T08:34:26Z","cross_cats_sorted":[],"title_canon_sha256":"ccc193098d385fd0566d30f903ac31f9f00385eda2b9ce9c44b9e77b90ca54fc","abstract_canon_sha256":"06145afc9bf5da777eeaaeca2ae25f13d330cb8086a698b6e39796ca33380673"},"schema_version":"1.0"},"canonical_sha256":"7889f6d30c37fad8d19d1775f681f627cd57c8a32706e83d4c24f4082a5e8726","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:11.803606Z","signature_b64":"wW7CaJIySI3HBnH9b0ZAnNRcOynyyHbN+q/ob567u937s+3JPbC95RmSKUy4ikjbkW8feeRrHmwZIxE29RYfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7889f6d30c37fad8d19d1775f681f627cd57c8a32706e83d4c24f4082a5e8726","last_reissued_at":"2026-05-18T01:43:11.803071Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:11.803071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.4091","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":"2026-05-18T01:43:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mBEjDzJtPFypZexiO/rFtKG5/4g05dT95xCz4jXbHBw8inNOIKrN51UKxSDdSZBvlDI4h9bTF60nAKHnQzUlAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T10:38:18.373936Z"},"content_sha256":"bfaabe649b0185818765ce898ac8adae308d78c045978df5a399aa2961a7702f","schema_version":"1.0","event_id":"sha256:bfaabe649b0185818765ce898ac8adae308d78c045978df5a399aa2961a7702f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:PCE7NUYMG75NRUM5C527NAPWE7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weak turbulence theory for rotating magnetohydrodynamics and planetary dynamos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.geo-ph","authors_text":"Sebastien Galtier","submitted_at":"2014-05-16T08:34:26Z","abstract_excerpt":"A weak turbulence theory is derived for magnetohydrodynamics under rapid rotation and in the presence of a large-scale magnetic field. The angular velocity $\\Omega_0$ is assumed to be uniform and parallel to the constant Alfv\\'en speed ${\\bf b_0}$. Such a system exhibits left and right circularly polarized waves which can be obtained by introducing the magneto-inertial length $d \\equiv b_0/\\Omega_0$. In the large-scale limit ($kd \\to 0$; $k$ being the wave number), the left- and right-handed waves tend respectively to the inertial and magnetostrophic waves whereas in the small-scale limit ($kd"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4091","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":"2026-05-18T01:43:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fhs5EnPgnaI0K2QJEfysd5RFdLhgyvIgEjshjtk4ddhPjSE7tkjXI35NejfKG7iHqVWrmN3tNAl6Kv7C2zs9Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T10:38:18.374279Z"},"content_sha256":"549da2021d67fb694a6e289dbf3e979d13ccc26ebb4b5720382b3937ec341802","schema_version":"1.0","event_id":"sha256:549da2021d67fb694a6e289dbf3e979d13ccc26ebb4b5720382b3937ec341802"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PCE7NUYMG75NRUM5C527NAPWE7/bundle.json","state_url":"https://pith.science/pith/PCE7NUYMG75NRUM5C527NAPWE7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PCE7NUYMG75NRUM5C527NAPWE7/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":"2026-06-28T10:38:18Z","links":{"resolver":"https://pith.science/pith/PCE7NUYMG75NRUM5C527NAPWE7","bundle":"https://pith.science/pith/PCE7NUYMG75NRUM5C527NAPWE7/bundle.json","state":"https://pith.science/pith/PCE7NUYMG75NRUM5C527NAPWE7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PCE7NUYMG75NRUM5C527NAPWE7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:PCE7NUYMG75NRUM5C527NAPWE7","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":"06145afc9bf5da777eeaaeca2ae25f13d330cb8086a698b6e39796ca33380673","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2014-05-16T08:34:26Z","title_canon_sha256":"ccc193098d385fd0566d30f903ac31f9f00385eda2b9ce9c44b9e77b90ca54fc"},"schema_version":"1.0","source":{"id":"1405.4091","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4091","created_at":"2026-05-18T01:43:11Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4091v1","created_at":"2026-05-18T01:43:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4091","created_at":"2026-05-18T01:43:11Z"},{"alias_kind":"pith_short_12","alias_value":"PCE7NUYMG75N","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PCE7NUYMG75NRUM5","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PCE7NUYM","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:549da2021d67fb694a6e289dbf3e979d13ccc26ebb4b5720382b3937ec341802","target":"graph","created_at":"2026-05-18T01:43:11Z","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":"A weak turbulence theory is derived for magnetohydrodynamics under rapid rotation and in the presence of a large-scale magnetic field. The angular velocity $\\Omega_0$ is assumed to be uniform and parallel to the constant Alfv\\'en speed ${\\bf b_0}$. Such a system exhibits left and right circularly polarized waves which can be obtained by introducing the magneto-inertial length $d \\equiv b_0/\\Omega_0$. In the large-scale limit ($kd \\to 0$; $k$ being the wave number), the left- and right-handed waves tend respectively to the inertial and magnetostrophic waves whereas in the small-scale limit ($kd","authors_text":"Sebastien Galtier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2014-05-16T08:34:26Z","title":"Weak turbulence theory for rotating magnetohydrodynamics and planetary dynamos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4091","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:bfaabe649b0185818765ce898ac8adae308d78c045978df5a399aa2961a7702f","target":"record","created_at":"2026-05-18T01:43:11Z","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":"06145afc9bf5da777eeaaeca2ae25f13d330cb8086a698b6e39796ca33380673","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2014-05-16T08:34:26Z","title_canon_sha256":"ccc193098d385fd0566d30f903ac31f9f00385eda2b9ce9c44b9e77b90ca54fc"},"schema_version":"1.0","source":{"id":"1405.4091","kind":"arxiv","version":1}},"canonical_sha256":"7889f6d30c37fad8d19d1775f681f627cd57c8a32706e83d4c24f4082a5e8726","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7889f6d30c37fad8d19d1775f681f627cd57c8a32706e83d4c24f4082a5e8726","first_computed_at":"2026-05-18T01:43:11.803071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:11.803071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wW7CaJIySI3HBnH9b0ZAnNRcOynyyHbN+q/ob567u937s+3JPbC95RmSKUy4ikjbkW8feeRrHmwZIxE29RYfBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:11.803606Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.4091","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfaabe649b0185818765ce898ac8adae308d78c045978df5a399aa2961a7702f","sha256:549da2021d67fb694a6e289dbf3e979d13ccc26ebb4b5720382b3937ec341802"],"state_sha256":"79fc67436b9abedd4016b61068eaf0cc761810a49686d8393a3cb3838b860c03"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xc+twut4KkCC8fFiJCcfIQQd6Yil0GvI4ZIbkmD316tsqX0x9R+WAG2VwWtmqIDqD60PBnSR+92nfkKbSrmJDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T10:38:18.376161Z","bundle_sha256":"7e10aa9ac50e9a72b97aa64cef3b1de8f152f12e17d62e237d1131bf4fba4bec"}}