{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IK3C6P7KX65ZPPAITAOMG23EGN","short_pith_number":"pith:IK3C6P7K","canonical_record":{"source":{"id":"1301.6220","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-01-26T08:14:44Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"d516d83b8927de308a2cc0a0ee8b4fb4cf543a85fba973fc4112540c55d3e4ac","abstract_canon_sha256":"df16c6e8819d76c85ceae82bf2ccfa306b5df7b876af036da10efe0df0bb296e"},"schema_version":"1.0"},"canonical_sha256":"42b62f3feabfbb97bc08981cc36b643351df5deb8d3aefc4874869cf1a750644","source":{"kind":"arxiv","id":"1301.6220","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6220","created_at":"2026-05-18T02:59:18Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6220v1","created_at":"2026-05-18T02:59:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6220","created_at":"2026-05-18T02:59:18Z"},{"alias_kind":"pith_short_12","alias_value":"IK3C6P7KX65Z","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IK3C6P7KX65ZPPAI","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IK3C6P7K","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IK3C6P7KX65ZPPAITAOMG23EGN","target":"record","payload":{"canonical_record":{"source":{"id":"1301.6220","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-01-26T08:14:44Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"d516d83b8927de308a2cc0a0ee8b4fb4cf543a85fba973fc4112540c55d3e4ac","abstract_canon_sha256":"df16c6e8819d76c85ceae82bf2ccfa306b5df7b876af036da10efe0df0bb296e"},"schema_version":"1.0"},"canonical_sha256":"42b62f3feabfbb97bc08981cc36b643351df5deb8d3aefc4874869cf1a750644","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:18.666852Z","signature_b64":"mLcvPPL2ifyxgn6+mL/bMrAwET2XeZdjxPCXsGCXL1MTwEpvyERQDgF8Xzoq8BkYCTokce0K4nelYtJzhO3AAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42b62f3feabfbb97bc08981cc36b643351df5deb8d3aefc4874869cf1a750644","last_reissued_at":"2026-05-18T02:59:18.666153Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:18.666153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.6220","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":"2026-05-18T02:59:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6YZgiitXvjF9rIiq7j/0klJI8WshBBEoE1S/1oifZVT4jy9bQezrlbAECewhbsR3fta2S9qeXjvOfxNMIvXfBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T04:19:02.617449Z"},"content_sha256":"50e4215ab5d064f1c771ddd703a0d37fe9ff34567d19831c936857ccdd9b1a95","schema_version":"1.0","event_id":"sha256:50e4215ab5d064f1c771ddd703a0d37fe9ff34567d19831c936857ccdd9b1a95"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IK3C6P7KX65ZPPAITAOMG23EGN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Role of uniform horizontal magnetic field on convective flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"nlin.PS","authors_text":"Krishna Kumar, Pinaki Pal","submitted_at":"2013-01-26T08:14:44Z","abstract_excerpt":"The effect of uniform magnetic field applied along a fixed horizontal direction in Rayleigh-B\\'enard convection in low-Prandtl-number fluids has been studied using a low dimensional model. The model shows the onset of convection (primary instability) in the form of two dimensional stationary rolls in the absence of magnetic field, when the Rayleigh number $R$ is raised above a critical value $R_c$. The flow becomes three dimensional at slightly higher values of Rayleigh number via wavy instability. These wavy rolls become chaotic for slightly higher values of $R$ in low-Prandtl-number ($P_r$) "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6220","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":"2026-05-18T02:59:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3RGuWKBQbCiHcAA+PuIqtF9Jv1KIcVKd3C5oqpdm0tTbfn53AszIkEFVOoNyEQvNupH73DgQ2cZ58TQjAgoxAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T04:19:02.617811Z"},"content_sha256":"5e45a3f1fc5e59d5805bf91663a78741b85c3e2af1869daf0659391fa74f6e4e","schema_version":"1.0","event_id":"sha256:5e45a3f1fc5e59d5805bf91663a78741b85c3e2af1869daf0659391fa74f6e4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IK3C6P7KX65ZPPAITAOMG23EGN/bundle.json","state_url":"https://pith.science/pith/IK3C6P7KX65ZPPAITAOMG23EGN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IK3C6P7KX65ZPPAITAOMG23EGN/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":"2026-07-02T04:19:02Z","links":{"resolver":"https://pith.science/pith/IK3C6P7KX65ZPPAITAOMG23EGN","bundle":"https://pith.science/pith/IK3C6P7KX65ZPPAITAOMG23EGN/bundle.json","state":"https://pith.science/pith/IK3C6P7KX65ZPPAITAOMG23EGN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IK3C6P7KX65ZPPAITAOMG23EGN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IK3C6P7KX65ZPPAITAOMG23EGN","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":"df16c6e8819d76c85ceae82bf2ccfa306b5df7b876af036da10efe0df0bb296e","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-01-26T08:14:44Z","title_canon_sha256":"d516d83b8927de308a2cc0a0ee8b4fb4cf543a85fba973fc4112540c55d3e4ac"},"schema_version":"1.0","source":{"id":"1301.6220","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6220","created_at":"2026-05-18T02:59:18Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6220v1","created_at":"2026-05-18T02:59:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6220","created_at":"2026-05-18T02:59:18Z"},{"alias_kind":"pith_short_12","alias_value":"IK3C6P7KX65Z","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IK3C6P7KX65ZPPAI","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IK3C6P7K","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:5e45a3f1fc5e59d5805bf91663a78741b85c3e2af1869daf0659391fa74f6e4e","target":"graph","created_at":"2026-05-18T02:59:18Z","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 effect of uniform magnetic field applied along a fixed horizontal direction in Rayleigh-B\\'enard convection in low-Prandtl-number fluids has been studied using a low dimensional model. The model shows the onset of convection (primary instability) in the form of two dimensional stationary rolls in the absence of magnetic field, when the Rayleigh number $R$ is raised above a critical value $R_c$. The flow becomes three dimensional at slightly higher values of Rayleigh number via wavy instability. These wavy rolls become chaotic for slightly higher values of $R$ in low-Prandtl-number ($P_r$) ","authors_text":"Krishna Kumar, Pinaki Pal","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-01-26T08:14:44Z","title":"Role of uniform horizontal magnetic field on convective flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6220","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":"sha256:50e4215ab5d064f1c771ddd703a0d37fe9ff34567d19831c936857ccdd9b1a95","target":"record","created_at":"2026-05-18T02:59:18Z","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":"df16c6e8819d76c85ceae82bf2ccfa306b5df7b876af036da10efe0df0bb296e","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-01-26T08:14:44Z","title_canon_sha256":"d516d83b8927de308a2cc0a0ee8b4fb4cf543a85fba973fc4112540c55d3e4ac"},"schema_version":"1.0","source":{"id":"1301.6220","kind":"arxiv","version":1}},"canonical_sha256":"42b62f3feabfbb97bc08981cc36b643351df5deb8d3aefc4874869cf1a750644","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42b62f3feabfbb97bc08981cc36b643351df5deb8d3aefc4874869cf1a750644","first_computed_at":"2026-05-18T02:59:18.666153Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:18.666153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mLcvPPL2ifyxgn6+mL/bMrAwET2XeZdjxPCXsGCXL1MTwEpvyERQDgF8Xzoq8BkYCTokce0K4nelYtJzhO3AAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:18.666852Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.6220","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50e4215ab5d064f1c771ddd703a0d37fe9ff34567d19831c936857ccdd9b1a95","sha256:5e45a3f1fc5e59d5805bf91663a78741b85c3e2af1869daf0659391fa74f6e4e"],"state_sha256":"e2e838df84f8b682e84bd313cb69a44745e7b41cc54315f27bbff51827735b88"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZxGOx1AExXLQPbrv2ARK1nX0sB7G4DaynvOer+uYN5o2y6szdOmqsEpWXC00UgRlE6jI7yuEa23DpmZHMG1iBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T04:19:02.619832Z","bundle_sha256":"0a5aa87744a63722f80abeb6063099fd50247a14510c923787ff59cce8134424"}}