{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:K457GYFYT6UHXH4EGO5RORM64C","short_pith_number":"pith:K457GYFY","canonical_record":{"source":{"id":"1612.08860","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-12-28T11:43:54Z","cross_cats_sorted":[],"title_canon_sha256":"67dc0a8af9baf2f51be3a98c0474e2ff76abdb75e98ae3b27761e73eba5d4fa4","abstract_canon_sha256":"6465911d2d6741c2d9b0bc73bce363dbb9edae55c4cd78c6de5ee74f648119cd"},"schema_version":"1.0"},"canonical_sha256":"573bf360b89fa87b9f8433bb17459ee0b1dc5b2fa6f8e169f1ed07eac7440a01","source":{"kind":"arxiv","id":"1612.08860","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08860","created_at":"2026-05-18T00:53:46Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08860v1","created_at":"2026-05-18T00:53:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08860","created_at":"2026-05-18T00:53:46Z"},{"alias_kind":"pith_short_12","alias_value":"K457GYFYT6UH","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"K457GYFYT6UHXH4E","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"K457GYFY","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:K457GYFYT6UHXH4EGO5RORM64C","target":"record","payload":{"canonical_record":{"source":{"id":"1612.08860","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-12-28T11:43:54Z","cross_cats_sorted":[],"title_canon_sha256":"67dc0a8af9baf2f51be3a98c0474e2ff76abdb75e98ae3b27761e73eba5d4fa4","abstract_canon_sha256":"6465911d2d6741c2d9b0bc73bce363dbb9edae55c4cd78c6de5ee74f648119cd"},"schema_version":"1.0"},"canonical_sha256":"573bf360b89fa87b9f8433bb17459ee0b1dc5b2fa6f8e169f1ed07eac7440a01","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:46.990522Z","signature_b64":"WnN4RyYOy/2GEIU7Q4j6l6o8LjK26Jd+0HU44I8M+e+elsLGJyYmGfsYIvl5JRdeM95yJD84bz46Qo1AxZC6AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"573bf360b89fa87b9f8433bb17459ee0b1dc5b2fa6f8e169f1ed07eac7440a01","last_reissued_at":"2026-05-18T00:53:46.989992Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:46.989992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.08860","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":"2026-05-18T00:53:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j1aIg5gW0/OLN7AsWgSqrmVvQl6q+p1dQaJe8ld8Z0yX9kT+YE0lncTXNHBZFE779mFfIx40E9G9JffIsTVAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:08:06.738795Z"},"content_sha256":"a8418e66cb94748289df425b62e77af9b18ba229862563e57e814b81f2fe675a","schema_version":"1.0","event_id":"sha256:a8418e66cb94748289df425b62e77af9b18ba229862563e57e814b81f2fe675a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:K457GYFYT6UHXH4EGO5RORM64C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear Dynamo","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"A.V.Tur, M.I.Kopp, V.V.Yanovsky","submitted_at":"2016-12-28T11:43:54Z","abstract_excerpt":"In this manuscript using the asymptotic method of multiscale nonlinear theory we construct a nonlinear theory of the appearance of large-scale structures in the stratified conductive medium with the presence of small-scale oscillations of the velocity field and magnetic fields. These small-scale stationary oscillations are maintained by small external sources at low Reynolds numbers. We obtain a nonlinear system of equations describing the evolution of large-scale structures of the velocity field and magnetic fields. The linear stage of evolution leads to the known instability. In this article"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08860","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":"2026-05-18T00:53:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AQk9awAkdI/tQLYwY1ov3EyeR1bfhSEOBA+Y+910/q/yoo7eH2CDgAmmXz91LrivV7R3KNGCZ7neJdlXhkpEDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:08:06.739567Z"},"content_sha256":"796d16fea7ce16a37962bec5755923a6966f5ea4ad737b549d59eb2fc13ab3e3","schema_version":"1.0","event_id":"sha256:796d16fea7ce16a37962bec5755923a6966f5ea4ad737b549d59eb2fc13ab3e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K457GYFYT6UHXH4EGO5RORM64C/bundle.json","state_url":"https://pith.science/pith/K457GYFYT6UHXH4EGO5RORM64C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K457GYFYT6UHXH4EGO5RORM64C/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":"2026-06-07T23:08:06Z","links":{"resolver":"https://pith.science/pith/K457GYFYT6UHXH4EGO5RORM64C","bundle":"https://pith.science/pith/K457GYFYT6UHXH4EGO5RORM64C/bundle.json","state":"https://pith.science/pith/K457GYFYT6UHXH4EGO5RORM64C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K457GYFYT6UHXH4EGO5RORM64C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:K457GYFYT6UHXH4EGO5RORM64C","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":"6465911d2d6741c2d9b0bc73bce363dbb9edae55c4cd78c6de5ee74f648119cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-12-28T11:43:54Z","title_canon_sha256":"67dc0a8af9baf2f51be3a98c0474e2ff76abdb75e98ae3b27761e73eba5d4fa4"},"schema_version":"1.0","source":{"id":"1612.08860","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08860","created_at":"2026-05-18T00:53:46Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08860v1","created_at":"2026-05-18T00:53:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08860","created_at":"2026-05-18T00:53:46Z"},{"alias_kind":"pith_short_12","alias_value":"K457GYFYT6UH","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"K457GYFYT6UHXH4E","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"K457GYFY","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:796d16fea7ce16a37962bec5755923a6966f5ea4ad737b549d59eb2fc13ab3e3","target":"graph","created_at":"2026-05-18T00:53:46Z","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":"In this manuscript using the asymptotic method of multiscale nonlinear theory we construct a nonlinear theory of the appearance of large-scale structures in the stratified conductive medium with the presence of small-scale oscillations of the velocity field and magnetic fields. These small-scale stationary oscillations are maintained by small external sources at low Reynolds numbers. We obtain a nonlinear system of equations describing the evolution of large-scale structures of the velocity field and magnetic fields. The linear stage of evolution leads to the known instability. In this article","authors_text":"A.V.Tur, M.I.Kopp, V.V.Yanovsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-12-28T11:43:54Z","title":"Nonlinear Dynamo"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08860","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:a8418e66cb94748289df425b62e77af9b18ba229862563e57e814b81f2fe675a","target":"record","created_at":"2026-05-18T00:53:46Z","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":"6465911d2d6741c2d9b0bc73bce363dbb9edae55c4cd78c6de5ee74f648119cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-12-28T11:43:54Z","title_canon_sha256":"67dc0a8af9baf2f51be3a98c0474e2ff76abdb75e98ae3b27761e73eba5d4fa4"},"schema_version":"1.0","source":{"id":"1612.08860","kind":"arxiv","version":1}},"canonical_sha256":"573bf360b89fa87b9f8433bb17459ee0b1dc5b2fa6f8e169f1ed07eac7440a01","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"573bf360b89fa87b9f8433bb17459ee0b1dc5b2fa6f8e169f1ed07eac7440a01","first_computed_at":"2026-05-18T00:53:46.989992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:46.989992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WnN4RyYOy/2GEIU7Q4j6l6o8LjK26Jd+0HU44I8M+e+elsLGJyYmGfsYIvl5JRdeM95yJD84bz46Qo1AxZC6AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:46.990522Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08860","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8418e66cb94748289df425b62e77af9b18ba229862563e57e814b81f2fe675a","sha256:796d16fea7ce16a37962bec5755923a6966f5ea4ad737b549d59eb2fc13ab3e3"],"state_sha256":"95dd64c357e71911296aa21247f842bbad563ecc3157178199b0ca9e08457a49"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3h21HPIBBj38RcCZW4S8M8cXMntp9txlAqPAzcubnz6+7zUlu7snjQIkPqMX0YfRs7+BZD8xTgdh/P/uT1PWAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T23:08:06.743302Z","bundle_sha256":"606bbf189c0eae002b4ec219cd11e6dab41e9c4a515b46707c1349f4f0c6533a"}}