{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ANNMZIAJ7A3VCFFLDPHOWVT77Q","short_pith_number":"pith:ANNMZIAJ","canonical_record":{"source":{"id":"1107.2419","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-07-12T21:10:19Z","cross_cats_sorted":["astro-ph.EP","physics.plasm-ph"],"title_canon_sha256":"bcba219bb5ea178ba35d7f071ed10b9fd2c6ac2a256192065677da0bbfea92de","abstract_canon_sha256":"2db365a629a3f36025ed16156d05382b0b16a4ccbbed7bb00a3a3143cf812dff"},"schema_version":"1.0"},"canonical_sha256":"035acca009f8375114ab1bceeb567ffc01ecafb72ad9fdab2972a08cd439af4f","source":{"kind":"arxiv","id":"1107.2419","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2419","created_at":"2026-05-18T03:19:46Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2419v3","created_at":"2026-05-18T03:19:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2419","created_at":"2026-05-18T03:19:46Z"},{"alias_kind":"pith_short_12","alias_value":"ANNMZIAJ7A3V","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"ANNMZIAJ7A3VCFFL","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"ANNMZIAJ","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ANNMZIAJ7A3VCFFLDPHOWVT77Q","target":"record","payload":{"canonical_record":{"source":{"id":"1107.2419","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-07-12T21:10:19Z","cross_cats_sorted":["astro-ph.EP","physics.plasm-ph"],"title_canon_sha256":"bcba219bb5ea178ba35d7f071ed10b9fd2c6ac2a256192065677da0bbfea92de","abstract_canon_sha256":"2db365a629a3f36025ed16156d05382b0b16a4ccbbed7bb00a3a3143cf812dff"},"schema_version":"1.0"},"canonical_sha256":"035acca009f8375114ab1bceeb567ffc01ecafb72ad9fdab2972a08cd439af4f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:46.337388Z","signature_b64":"Nk5e8sfF9sy8jQfZjzMdLZng2hr42DtvjtubU+q2nE4MxLH7LZeR5UaryBO9uoo1QHGRj/sMqN3JSf2XUJ8cCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"035acca009f8375114ab1bceeb567ffc01ecafb72ad9fdab2972a08cd439af4f","last_reissued_at":"2026-05-18T03:19:46.336560Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:46.336560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.2419","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:19:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LU/wSTJN6egzPguHtX2hRfwDxAaR37PKrmqh0I9RYknsMIlxy9B5t/aO5n54830O31H+1nMFZ3nEB/Rlxe7XAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T09:24:47.081025Z"},"content_sha256":"5567930ccf70d3e20e93d39d09ad2bbac0d4bc236df1b2e646a2b5df197d8d7e","schema_version":"1.0","event_id":"sha256:5567930ccf70d3e20e93d39d09ad2bbac0d4bc236df1b2e646a2b5df197d8d7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ANNMZIAJ7A3VCFFLDPHOWVT77Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling and intermittency in incoherent \\alpha-shear dynamo","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["astro-ph.EP","physics.plasm-ph"],"primary_cat":"astro-ph.SR","authors_text":"Axel Brandenburg (Nordita), Dhrubaditya Mitra (NORDITA)","submitted_at":"2011-07-12T21:10:19Z","abstract_excerpt":"We consider mean-field dynamo models with fluctuating \\alpha effect, both with and without shear. The \\alpha effect is chosen to be Gaussian white noise with zero mean and given covariance. We show analytically that the mean magnetic field does not grow, but, in an infinitely large domain, the mean-squared magnetic field shows exponential growth of the fastest growing mode at a rate proportional to the shear rate, which agrees with earlier numerical results of Yousef et al (2008) and recent analytical treatment by Heinemann et al (2011) who use a method different from ours. In the absence of s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2419","kind":"arxiv","version":3},"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":"2026-05-18T03:19:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GXh+M360Niyu2booZrjvQ5BLERV5OBTB/CADGXJlauPM/HruyZOPJcJjj1GMo1rlVsLeIspjZDqBOqju5OdpDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T09:24:47.081393Z"},"content_sha256":"751faac37c7b124357a9bf063a518b68b2c7bfed4f644ad272adfc416d2c1aa4","schema_version":"1.0","event_id":"sha256:751faac37c7b124357a9bf063a518b68b2c7bfed4f644ad272adfc416d2c1aa4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ANNMZIAJ7A3VCFFLDPHOWVT77Q/bundle.json","state_url":"https://pith.science/pith/ANNMZIAJ7A3VCFFLDPHOWVT77Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ANNMZIAJ7A3VCFFLDPHOWVT77Q/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":"2026-06-04T09:24:47Z","links":{"resolver":"https://pith.science/pith/ANNMZIAJ7A3VCFFLDPHOWVT77Q","bundle":"https://pith.science/pith/ANNMZIAJ7A3VCFFLDPHOWVT77Q/bundle.json","state":"https://pith.science/pith/ANNMZIAJ7A3VCFFLDPHOWVT77Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ANNMZIAJ7A3VCFFLDPHOWVT77Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ANNMZIAJ7A3VCFFLDPHOWVT77Q","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":"2db365a629a3f36025ed16156d05382b0b16a4ccbbed7bb00a3a3143cf812dff","cross_cats_sorted":["astro-ph.EP","physics.plasm-ph"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-07-12T21:10:19Z","title_canon_sha256":"bcba219bb5ea178ba35d7f071ed10b9fd2c6ac2a256192065677da0bbfea92de"},"schema_version":"1.0","source":{"id":"1107.2419","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2419","created_at":"2026-05-18T03:19:46Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2419v3","created_at":"2026-05-18T03:19:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2419","created_at":"2026-05-18T03:19:46Z"},{"alias_kind":"pith_short_12","alias_value":"ANNMZIAJ7A3V","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"ANNMZIAJ7A3VCFFL","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"ANNMZIAJ","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:751faac37c7b124357a9bf063a518b68b2c7bfed4f644ad272adfc416d2c1aa4","target":"graph","created_at":"2026-05-18T03:19:46Z","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 consider mean-field dynamo models with fluctuating \\alpha effect, both with and without shear. The \\alpha effect is chosen to be Gaussian white noise with zero mean and given covariance. We show analytically that the mean magnetic field does not grow, but, in an infinitely large domain, the mean-squared magnetic field shows exponential growth of the fastest growing mode at a rate proportional to the shear rate, which agrees with earlier numerical results of Yousef et al (2008) and recent analytical treatment by Heinemann et al (2011) who use a method different from ours. In the absence of s","authors_text":"Axel Brandenburg (Nordita), Dhrubaditya Mitra (NORDITA)","cross_cats":["astro-ph.EP","physics.plasm-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-07-12T21:10:19Z","title":"Scaling and intermittency in incoherent \\alpha-shear dynamo"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2419","kind":"arxiv","version":3},"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":"sha256:5567930ccf70d3e20e93d39d09ad2bbac0d4bc236df1b2e646a2b5df197d8d7e","target":"record","created_at":"2026-05-18T03:19:46Z","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":"2db365a629a3f36025ed16156d05382b0b16a4ccbbed7bb00a3a3143cf812dff","cross_cats_sorted":["astro-ph.EP","physics.plasm-ph"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-07-12T21:10:19Z","title_canon_sha256":"bcba219bb5ea178ba35d7f071ed10b9fd2c6ac2a256192065677da0bbfea92de"},"schema_version":"1.0","source":{"id":"1107.2419","kind":"arxiv","version":3}},"canonical_sha256":"035acca009f8375114ab1bceeb567ffc01ecafb72ad9fdab2972a08cd439af4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"035acca009f8375114ab1bceeb567ffc01ecafb72ad9fdab2972a08cd439af4f","first_computed_at":"2026-05-18T03:19:46.336560Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:46.336560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nk5e8sfF9sy8jQfZjzMdLZng2hr42DtvjtubU+q2nE4MxLH7LZeR5UaryBO9uoo1QHGRj/sMqN3JSf2XUJ8cCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:46.337388Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.2419","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5567930ccf70d3e20e93d39d09ad2bbac0d4bc236df1b2e646a2b5df197d8d7e","sha256:751faac37c7b124357a9bf063a518b68b2c7bfed4f644ad272adfc416d2c1aa4"],"state_sha256":"d171aa8cc120693550e835e2be13fe01212fb20cf70c08dee3ceef68df482371"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wbts4p2RDdf0aIdpVKMlswWo2+pob5xgBA4lDEln+bzcZfTsyMAnC0dtWaGGC/FqoGPLiy2wEwcU/6ETZUdVAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T09:24:47.083308Z","bundle_sha256":"13cf29e6264d971467cf75db538e202fded47e35d1c7fc95fae9b7e0503e9fbc"}}