{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:NBPXA6CNNK3SIXZZB6CL74RHVM","short_pith_number":"pith:NBPXA6CN","canonical_record":{"source":{"id":"1401.2528","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2014-01-11T13:18:56Z","cross_cats_sorted":[],"title_canon_sha256":"9af83f460b6d8a966cbf005e7ec00b232b01357a5502d55da7704e6dd25872c9","abstract_canon_sha256":"2e4a002e6bf08576583dc23281b9d49a146baa69b64c368f0619612dcb8b0e62"},"schema_version":"1.0"},"canonical_sha256":"685f70784d6ab7245f390f84bff227ab175f6bc74057775f0502c32a55fccd42","source":{"kind":"arxiv","id":"1401.2528","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2528","created_at":"2026-05-18T02:57:07Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2528v1","created_at":"2026-05-18T02:57:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2528","created_at":"2026-05-18T02:57:07Z"},{"alias_kind":"pith_short_12","alias_value":"NBPXA6CNNK3S","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NBPXA6CNNK3SIXZZ","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NBPXA6CN","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:NBPXA6CNNK3SIXZZB6CL74RHVM","target":"record","payload":{"canonical_record":{"source":{"id":"1401.2528","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2014-01-11T13:18:56Z","cross_cats_sorted":[],"title_canon_sha256":"9af83f460b6d8a966cbf005e7ec00b232b01357a5502d55da7704e6dd25872c9","abstract_canon_sha256":"2e4a002e6bf08576583dc23281b9d49a146baa69b64c368f0619612dcb8b0e62"},"schema_version":"1.0"},"canonical_sha256":"685f70784d6ab7245f390f84bff227ab175f6bc74057775f0502c32a55fccd42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:07.660400Z","signature_b64":"qm1Yck+kOU1wyeeq5NplK3GncmK8Ye2bs1o8gNr5USr7Sgip6iKmFfzvAJQeq2Jt0k2+kAWTRy5tIjfEIkvqCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"685f70784d6ab7245f390f84bff227ab175f6bc74057775f0502c32a55fccd42","last_reissued_at":"2026-05-18T02:57:07.659806Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:07.659806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.2528","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":"2026-05-18T02:57:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KSPQhAnQzXe9YLdg4OBsWM2DNQ5uRknD3FvMWxdRVbIgVxjh1QnEu92o3wzxZtapq07oFpY28US1+s9MJpmJDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:39:51.373088Z"},"content_sha256":"7a80809c1fdc46300896bc9b7f3699bff676f3c4ded4b4be06dea2500bed338d","schema_version":"1.0","event_id":"sha256:7a80809c1fdc46300896bc9b7f3699bff676f3c4ded4b4be06dea2500bed338d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:NBPXA6CNNK3SIXZZB6CL74RHVM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resonant instability of the nonlinearly-saturated magnetorotational mode in thin Keplerian discs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"Edward Liverts, Michael Mond, Yuri M. Shtemler","submitted_at":"2014-01-11T13:18:56Z","abstract_excerpt":"The magneto-rotational decay instability (MRDI) of thin Keplerian discs threaded by poloidal magnetic fields is introduced and studied. The linear magnetohydrodynamic problem decouples into eigenvalue problems for in-plane slow- and fast- Alfv'een-Coriolis (AC), and vertical magnetosonic (MS) eigenmodes. The magnetorotational instability (MRI) is composed of a discrete number of unstable slow AC eigenmodes that is determined for each radius by the local beta. In the vicinity of the first beta threshold a parent MRI eigenmode together with a stable AC eigenmode (either slow or fast) and a stabl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2528","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":"2026-05-18T02:57:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rqQPSiHrYd4hAEL58GJ4pMn6nhO5Dw00ysJtkbNcfig8wYBpcqoFJ0+YTTNwpIFXJQc6up8Yhr1iFicsuCHYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:39:51.373796Z"},"content_sha256":"5a395a7f6a544db6a9894b78ee9da11a1719709451704024812673d063dc85bf","schema_version":"1.0","event_id":"sha256:5a395a7f6a544db6a9894b78ee9da11a1719709451704024812673d063dc85bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NBPXA6CNNK3SIXZZB6CL74RHVM/bundle.json","state_url":"https://pith.science/pith/NBPXA6CNNK3SIXZZB6CL74RHVM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NBPXA6CNNK3SIXZZB6CL74RHVM/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":"2026-06-09T03:39:51Z","links":{"resolver":"https://pith.science/pith/NBPXA6CNNK3SIXZZB6CL74RHVM","bundle":"https://pith.science/pith/NBPXA6CNNK3SIXZZB6CL74RHVM/bundle.json","state":"https://pith.science/pith/NBPXA6CNNK3SIXZZB6CL74RHVM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NBPXA6CNNK3SIXZZB6CL74RHVM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NBPXA6CNNK3SIXZZB6CL74RHVM","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":"2e4a002e6bf08576583dc23281b9d49a146baa69b64c368f0619612dcb8b0e62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2014-01-11T13:18:56Z","title_canon_sha256":"9af83f460b6d8a966cbf005e7ec00b232b01357a5502d55da7704e6dd25872c9"},"schema_version":"1.0","source":{"id":"1401.2528","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2528","created_at":"2026-05-18T02:57:07Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2528v1","created_at":"2026-05-18T02:57:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2528","created_at":"2026-05-18T02:57:07Z"},{"alias_kind":"pith_short_12","alias_value":"NBPXA6CNNK3S","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NBPXA6CNNK3SIXZZ","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NBPXA6CN","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:5a395a7f6a544db6a9894b78ee9da11a1719709451704024812673d063dc85bf","target":"graph","created_at":"2026-05-18T02:57:07Z","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":"The magneto-rotational decay instability (MRDI) of thin Keplerian discs threaded by poloidal magnetic fields is introduced and studied. The linear magnetohydrodynamic problem decouples into eigenvalue problems for in-plane slow- and fast- Alfv'een-Coriolis (AC), and vertical magnetosonic (MS) eigenmodes. The magnetorotational instability (MRI) is composed of a discrete number of unstable slow AC eigenmodes that is determined for each radius by the local beta. In the vicinity of the first beta threshold a parent MRI eigenmode together with a stable AC eigenmode (either slow or fast) and a stabl","authors_text":"Edward Liverts, Michael Mond, Yuri M. Shtemler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2014-01-11T13:18:56Z","title":"Resonant instability of the nonlinearly-saturated magnetorotational mode in thin Keplerian discs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2528","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":"sha256:7a80809c1fdc46300896bc9b7f3699bff676f3c4ded4b4be06dea2500bed338d","target":"record","created_at":"2026-05-18T02:57:07Z","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":"2e4a002e6bf08576583dc23281b9d49a146baa69b64c368f0619612dcb8b0e62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2014-01-11T13:18:56Z","title_canon_sha256":"9af83f460b6d8a966cbf005e7ec00b232b01357a5502d55da7704e6dd25872c9"},"schema_version":"1.0","source":{"id":"1401.2528","kind":"arxiv","version":1}},"canonical_sha256":"685f70784d6ab7245f390f84bff227ab175f6bc74057775f0502c32a55fccd42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"685f70784d6ab7245f390f84bff227ab175f6bc74057775f0502c32a55fccd42","first_computed_at":"2026-05-18T02:57:07.659806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:07.659806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qm1Yck+kOU1wyeeq5NplK3GncmK8Ye2bs1o8gNr5USr7Sgip6iKmFfzvAJQeq2Jt0k2+kAWTRy5tIjfEIkvqCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:07.660400Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.2528","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a80809c1fdc46300896bc9b7f3699bff676f3c4ded4b4be06dea2500bed338d","sha256:5a395a7f6a544db6a9894b78ee9da11a1719709451704024812673d063dc85bf"],"state_sha256":"16306b2c172bbea9ee664d19bdddc0bcb31a8a7db6af2e500ae741f10d9515e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A5fXBecmJBeb/M+Fh20kzIWXASuIm7aFfIG8+rt68nrN1WKDR2tBUpv6eFD8V2kgGcSPxs1f42k59TEgeIIrDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T03:39:51.377961Z","bundle_sha256":"51e0c0a8f3fbee49954b8d357b789a4ffecdd1367c1f1ea806e34a4a8fa589da"}}