{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TO2FF24DH2EXD5DA7FHQ7FN6QN","short_pith_number":"pith:TO2FF24D","canonical_record":{"source":{"id":"1409.1959","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2014-09-05T22:16:40Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"897ff0de855c0477af36dcd78c8c1efe682b89d7654b3399a47a739203936e8c","abstract_canon_sha256":"dabd547cf6de0b5f4efe8da38056195018bdbbb20b6da26e732c29a1480c6970"},"schema_version":"1.0"},"canonical_sha256":"9bb452eb833e8971f460f94f0f95be8377f4e30e89b7f798063fd584ceb0f86f","source":{"kind":"arxiv","id":"1409.1959","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1959","created_at":"2026-05-18T02:26:02Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1959v2","created_at":"2026-05-18T02:26:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1959","created_at":"2026-05-18T02:26:02Z"},{"alias_kind":"pith_short_12","alias_value":"TO2FF24DH2EX","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TO2FF24DH2EXD5DA","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TO2FF24D","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TO2FF24DH2EXD5DA7FHQ7FN6QN","target":"record","payload":{"canonical_record":{"source":{"id":"1409.1959","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2014-09-05T22:16:40Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"897ff0de855c0477af36dcd78c8c1efe682b89d7654b3399a47a739203936e8c","abstract_canon_sha256":"dabd547cf6de0b5f4efe8da38056195018bdbbb20b6da26e732c29a1480c6970"},"schema_version":"1.0"},"canonical_sha256":"9bb452eb833e8971f460f94f0f95be8377f4e30e89b7f798063fd584ceb0f86f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:02.571153Z","signature_b64":"26lZwgfsp3o7jc3vOhdInr1g/QfRosVggXAaCZbwldWG2v0ujVy7TMePdFUqQRX+vJLW0xbSk2KfroxTLpnLBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bb452eb833e8971f460f94f0f95be8377f4e30e89b7f798063fd584ceb0f86f","last_reissued_at":"2026-05-18T02:26:02.570754Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:02.570754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.1959","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:26:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zu6gfnQlxq8Yi9tmgTCJ/cg2DRKyImkhhB6qJEJc3YJbK1blrgCCsxJ6Uw5tnkL9YTMQvJ+ob6Po34yT9xuwDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:16:56.401050Z"},"content_sha256":"b232470f41ae8531eae25aa5889cfc317138a080563724369a35e3d21c8921e7","schema_version":"1.0","event_id":"sha256:b232470f41ae8531eae25aa5889cfc317138a080563724369a35e3d21c8921e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TO2FF24DH2EXD5DA7FHQ7FN6QN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Breakdown of the Anelastic Approximation in Rotating Compressible Convection: Implications for Astrophysical Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"physics.geo-ph","authors_text":"Keith Julien, Michael A. Calkins, Philippe Marti","submitted_at":"2014-09-05T22:16:40Z","abstract_excerpt":"The linear theory for rotating compressible convection in a plane layer geometry is presented for the astrophysically-relevant case of low Prandtl number gases. When the rotation rate of the system is large, the flow remains geostrophically balanced for all stratification levels investigated and the classical (i.e., incompressible) asymptotic scaling laws for the critical parameters are recovered. For sufficiently small Prandtl numbers, increasing stratification tends to further destabilise the fluid layer, decrease the critical wavenumber and increase the oscillation frequency of the convecti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1959","kind":"arxiv","version":2},"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":"2026-05-18T02:26:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KP6dZgZl8iEXGdT8qaLSi2uN0cr1J382LXMXWKgXKN/ltuTBOly/K5fx3y3NPJdEvB6hR97Mn5xftbPEe2HVAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:16:56.401803Z"},"content_sha256":"7996bf14a3c583ba08f7937339140f470087275583a75fce3d81b085f99c300a","schema_version":"1.0","event_id":"sha256:7996bf14a3c583ba08f7937339140f470087275583a75fce3d81b085f99c300a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TO2FF24DH2EXD5DA7FHQ7FN6QN/bundle.json","state_url":"https://pith.science/pith/TO2FF24DH2EXD5DA7FHQ7FN6QN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TO2FF24DH2EXD5DA7FHQ7FN6QN/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":"2026-06-07T18:16:56Z","links":{"resolver":"https://pith.science/pith/TO2FF24DH2EXD5DA7FHQ7FN6QN","bundle":"https://pith.science/pith/TO2FF24DH2EXD5DA7FHQ7FN6QN/bundle.json","state":"https://pith.science/pith/TO2FF24DH2EXD5DA7FHQ7FN6QN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TO2FF24DH2EXD5DA7FHQ7FN6QN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TO2FF24DH2EXD5DA7FHQ7FN6QN","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":"dabd547cf6de0b5f4efe8da38056195018bdbbb20b6da26e732c29a1480c6970","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2014-09-05T22:16:40Z","title_canon_sha256":"897ff0de855c0477af36dcd78c8c1efe682b89d7654b3399a47a739203936e8c"},"schema_version":"1.0","source":{"id":"1409.1959","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1959","created_at":"2026-05-18T02:26:02Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1959v2","created_at":"2026-05-18T02:26:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1959","created_at":"2026-05-18T02:26:02Z"},{"alias_kind":"pith_short_12","alias_value":"TO2FF24DH2EX","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TO2FF24DH2EXD5DA","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TO2FF24D","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:7996bf14a3c583ba08f7937339140f470087275583a75fce3d81b085f99c300a","target":"graph","created_at":"2026-05-18T02:26:02Z","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 linear theory for rotating compressible convection in a plane layer geometry is presented for the astrophysically-relevant case of low Prandtl number gases. When the rotation rate of the system is large, the flow remains geostrophically balanced for all stratification levels investigated and the classical (i.e., incompressible) asymptotic scaling laws for the critical parameters are recovered. For sufficiently small Prandtl numbers, increasing stratification tends to further destabilise the fluid layer, decrease the critical wavenumber and increase the oscillation frequency of the convecti","authors_text":"Keith Julien, Michael A. Calkins, Philippe Marti","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2014-09-05T22:16:40Z","title":"The Breakdown of the Anelastic Approximation in Rotating Compressible Convection: Implications for Astrophysical Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1959","kind":"arxiv","version":2},"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:b232470f41ae8531eae25aa5889cfc317138a080563724369a35e3d21c8921e7","target":"record","created_at":"2026-05-18T02:26:02Z","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":"dabd547cf6de0b5f4efe8da38056195018bdbbb20b6da26e732c29a1480c6970","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2014-09-05T22:16:40Z","title_canon_sha256":"897ff0de855c0477af36dcd78c8c1efe682b89d7654b3399a47a739203936e8c"},"schema_version":"1.0","source":{"id":"1409.1959","kind":"arxiv","version":2}},"canonical_sha256":"9bb452eb833e8971f460f94f0f95be8377f4e30e89b7f798063fd584ceb0f86f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bb452eb833e8971f460f94f0f95be8377f4e30e89b7f798063fd584ceb0f86f","first_computed_at":"2026-05-18T02:26:02.570754Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:02.570754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"26lZwgfsp3o7jc3vOhdInr1g/QfRosVggXAaCZbwldWG2v0ujVy7TMePdFUqQRX+vJLW0xbSk2KfroxTLpnLBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:02.571153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.1959","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b232470f41ae8531eae25aa5889cfc317138a080563724369a35e3d21c8921e7","sha256:7996bf14a3c583ba08f7937339140f470087275583a75fce3d81b085f99c300a"],"state_sha256":"b1a3d5a093b34e34491b851e8db0f74538583c0d09f4b7577360301e7f395179"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ox8bZwTzs2TznWfPBuQFcSu+gdKcQFxx5ngw3PvZU1ZGFDxtLCAxORTIETTR1nfrqudwftuhzA/NJSfDwDF4AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T18:16:56.406101Z","bundle_sha256":"fc07d2f3d95d4092311c6115fe0f7b5e4e83d8717d8a6c271c70c3f6b2db7d1f"}}