{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:DCVMQIGCYJJUR5CUNP6LWRAJLH","short_pith_number":"pith:DCVMQIGC","canonical_record":{"source":{"id":"1308.1058","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-08-05T18:33:48Z","cross_cats_sorted":["astro-ph.HE","astro-ph.SR"],"title_canon_sha256":"989dde8fc6389d6c46efa9a7a8e39995ad9efc365ce38070f7265405768abb3d","abstract_canon_sha256":"921553d9c7dea5f12320c57abe17db4cd05c5800d6ea268aece7faf013660555"},"schema_version":"1.0"},"canonical_sha256":"18aac820c2c25348f4546bfcbb440959f44807b51a1e46511d17c7f01c7b9fa4","source":{"kind":"arxiv","id":"1308.1058","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.1058","created_at":"2026-05-18T01:48:23Z"},{"alias_kind":"arxiv_version","alias_value":"1308.1058v1","created_at":"2026-05-18T01:48:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1058","created_at":"2026-05-18T01:48:23Z"},{"alias_kind":"pith_short_12","alias_value":"DCVMQIGCYJJU","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"DCVMQIGCYJJUR5CU","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"DCVMQIGC","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:DCVMQIGCYJJUR5CUNP6LWRAJLH","target":"record","payload":{"canonical_record":{"source":{"id":"1308.1058","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-08-05T18:33:48Z","cross_cats_sorted":["astro-ph.HE","astro-ph.SR"],"title_canon_sha256":"989dde8fc6389d6c46efa9a7a8e39995ad9efc365ce38070f7265405768abb3d","abstract_canon_sha256":"921553d9c7dea5f12320c57abe17db4cd05c5800d6ea268aece7faf013660555"},"schema_version":"1.0"},"canonical_sha256":"18aac820c2c25348f4546bfcbb440959f44807b51a1e46511d17c7f01c7b9fa4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:23.631032Z","signature_b64":"BCt+UkrYoBUQancDq+64viQcvLzNXlZEJBAJI37RU8wOyi252E6Hdv7MsFtJVkItiOV3zVMVyhBb9hLBlOaZCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18aac820c2c25348f4546bfcbb440959f44807b51a1e46511d17c7f01c7b9fa4","last_reissued_at":"2026-05-18T01:48:23.630307Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:23.630307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.1058","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":"2026-05-18T01:48:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VlbSIW+CQL0faZqDuW5LnzIHMx6aAq734n/ZRk+JBuc/LQ8P5SMuEDwcDhg4z8RuxVpMb6kD4tWwKiwOss8sCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:28:55.291770Z"},"content_sha256":"99eebdcf2ac24305477d6a0c07527c15519cc6df253841463b8873d94d487002","schema_version":"1.0","event_id":"sha256:99eebdcf2ac24305477d6a0c07527c15519cc6df253841463b8873d94d487002"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:DCVMQIGCYJJUR5CUNP6LWRAJLH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Revisiting linear dynamics of non-axisymmetric perturbations in weakly magnetized accretion discs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","astro-ph.SR"],"primary_cat":"astro-ph.EP","authors_text":"G. Bodo, G. D. Chagelishvili, G. R. Mamatsashvili, P. Rossi","submitted_at":"2013-08-05T18:33:48Z","abstract_excerpt":"We investigate linear dynamics of non-axisymmetric perturbations in incompressible, vertically stratified Keplerian discs with a weak vertical magnetic field in the shearing box approximation. Perturbations are decomposed into shearing waves whose evolution is followed via numerical integration of the linearized ideal MHD equations. There are two basic modes in the system -- inertia-gravity waves and magnetic mode, which displays the magnetorotational instability (MRI). As distinct from previous studies, we introduce `eigenvariables' characterizing each (counter-propagating) component of the i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1058","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":"2026-05-18T01:48:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sC6hc7fylNE8K3kx/XWxG8RQZ6x4yVhPvbboZgXYtPLlrbfTKXYse4zR8Zo57jkqme272TTWNO4U649tVztIDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:28:55.292123Z"},"content_sha256":"7b1c20120ff3e9b8de025d2eb4a947e557ad5c5f0fe492bfb210751cc2aaf6c9","schema_version":"1.0","event_id":"sha256:7b1c20120ff3e9b8de025d2eb4a947e557ad5c5f0fe492bfb210751cc2aaf6c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DCVMQIGCYJJUR5CUNP6LWRAJLH/bundle.json","state_url":"https://pith.science/pith/DCVMQIGCYJJUR5CUNP6LWRAJLH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DCVMQIGCYJJUR5CUNP6LWRAJLH/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":"2026-06-02T08:28:55Z","links":{"resolver":"https://pith.science/pith/DCVMQIGCYJJUR5CUNP6LWRAJLH","bundle":"https://pith.science/pith/DCVMQIGCYJJUR5CUNP6LWRAJLH/bundle.json","state":"https://pith.science/pith/DCVMQIGCYJJUR5CUNP6LWRAJLH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DCVMQIGCYJJUR5CUNP6LWRAJLH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DCVMQIGCYJJUR5CUNP6LWRAJLH","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":"921553d9c7dea5f12320c57abe17db4cd05c5800d6ea268aece7faf013660555","cross_cats_sorted":["astro-ph.HE","astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-08-05T18:33:48Z","title_canon_sha256":"989dde8fc6389d6c46efa9a7a8e39995ad9efc365ce38070f7265405768abb3d"},"schema_version":"1.0","source":{"id":"1308.1058","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.1058","created_at":"2026-05-18T01:48:23Z"},{"alias_kind":"arxiv_version","alias_value":"1308.1058v1","created_at":"2026-05-18T01:48:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1058","created_at":"2026-05-18T01:48:23Z"},{"alias_kind":"pith_short_12","alias_value":"DCVMQIGCYJJU","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"DCVMQIGCYJJUR5CU","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"DCVMQIGC","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:7b1c20120ff3e9b8de025d2eb4a947e557ad5c5f0fe492bfb210751cc2aaf6c9","target":"graph","created_at":"2026-05-18T01:48:23Z","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 investigate linear dynamics of non-axisymmetric perturbations in incompressible, vertically stratified Keplerian discs with a weak vertical magnetic field in the shearing box approximation. Perturbations are decomposed into shearing waves whose evolution is followed via numerical integration of the linearized ideal MHD equations. There are two basic modes in the system -- inertia-gravity waves and magnetic mode, which displays the magnetorotational instability (MRI). As distinct from previous studies, we introduce `eigenvariables' characterizing each (counter-propagating) component of the i","authors_text":"G. Bodo, G. D. Chagelishvili, G. R. Mamatsashvili, P. Rossi","cross_cats":["astro-ph.HE","astro-ph.SR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-08-05T18:33:48Z","title":"Revisiting linear dynamics of non-axisymmetric perturbations in weakly magnetized accretion discs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1058","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":"sha256:99eebdcf2ac24305477d6a0c07527c15519cc6df253841463b8873d94d487002","target":"record","created_at":"2026-05-18T01:48:23Z","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":"921553d9c7dea5f12320c57abe17db4cd05c5800d6ea268aece7faf013660555","cross_cats_sorted":["astro-ph.HE","astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-08-05T18:33:48Z","title_canon_sha256":"989dde8fc6389d6c46efa9a7a8e39995ad9efc365ce38070f7265405768abb3d"},"schema_version":"1.0","source":{"id":"1308.1058","kind":"arxiv","version":1}},"canonical_sha256":"18aac820c2c25348f4546bfcbb440959f44807b51a1e46511d17c7f01c7b9fa4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18aac820c2c25348f4546bfcbb440959f44807b51a1e46511d17c7f01c7b9fa4","first_computed_at":"2026-05-18T01:48:23.630307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:23.630307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BCt+UkrYoBUQancDq+64viQcvLzNXlZEJBAJI37RU8wOyi252E6Hdv7MsFtJVkItiOV3zVMVyhBb9hLBlOaZCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:23.631032Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.1058","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99eebdcf2ac24305477d6a0c07527c15519cc6df253841463b8873d94d487002","sha256:7b1c20120ff3e9b8de025d2eb4a947e557ad5c5f0fe492bfb210751cc2aaf6c9"],"state_sha256":"c69462fe04efb5ade6159ff3c7fa2cd750c0f535e3898acb8633e8962f7684f8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m8Gst0NqzAOM3syLOpN1H+LlzBG+g7KznHMNnaJP6GX36VsWUUqWmdL/P6k3MRXodEJxvyeritfKLDZgU1L+Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:28:55.294103Z","bundle_sha256":"c9cd09626181a0b2bd73eb00c5325e7e3ba0afa7bc68b5a07c13443532edd7c0"}}