{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QRADI7LUXAJXJFFI47PI6DSSFG","short_pith_number":"pith:QRADI7LU","canonical_record":{"source":{"id":"1012.5851","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-12-28T22:30:48Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"24d0cd1a091f3fd4f1d93658726bfecad3375ee88a572568749fcdd3932991df","abstract_canon_sha256":"8bba8b6cd4cc28214c2cd5e9d9dcc31b9d6fccbff1dca97d5ac603db4095037c"},"schema_version":"1.0"},"canonical_sha256":"8440347d74b8137494a8e7de8f0e5229adb34d7982b6444841979f1b28ffe495","source":{"kind":"arxiv","id":"1012.5851","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5851","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5851v2","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5851","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"pith_short_12","alias_value":"QRADI7LUXAJX","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QRADI7LUXAJXJFFI","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QRADI7LU","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QRADI7LUXAJXJFFI47PI6DSSFG","target":"record","payload":{"canonical_record":{"source":{"id":"1012.5851","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-12-28T22:30:48Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"24d0cd1a091f3fd4f1d93658726bfecad3375ee88a572568749fcdd3932991df","abstract_canon_sha256":"8bba8b6cd4cc28214c2cd5e9d9dcc31b9d6fccbff1dca97d5ac603db4095037c"},"schema_version":"1.0"},"canonical_sha256":"8440347d74b8137494a8e7de8f0e5229adb34d7982b6444841979f1b28ffe495","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:06.165355Z","signature_b64":"fvUeGWIHgOwZXOBMOZ31J+GBG9/tx7FlJB3YNMjf6aUp3KMj/rnBgX/IQw3D/bTRERVNFpH1fjj8aZ0rNgQUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8440347d74b8137494a8e7de8f0e5229adb34d7982b6444841979f1b28ffe495","last_reissued_at":"2026-05-18T02:23:06.164407Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:06.164407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.5851","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":"2026-05-18T02:23:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pO0aLxA0UBdCEyTtTttPDz0GvJG1EZuLh04kn5VIIhUK8glrMumFCNyzAwULlsb2UXnd9jH/Ve2Z6wpcKKgTDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:54:02.848874Z"},"content_sha256":"081c09b2f15b516167d2a33b032f123868d6dd0eee2069dc6c7bf34d3053dd00","schema_version":"1.0","event_id":"sha256:081c09b2f15b516167d2a33b032f123868d6dd0eee2069dc6c7bf34d3053dd00"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QRADI7LUXAJXJFFI47PI6DSSFG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semiconvection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"astro-ph.SR","authors_text":"F. Zaussinger, H.C. Spruit","submitted_at":"2010-12-28T22:30:48Z","abstract_excerpt":"A grid of numerical simulations of double-diffusive convection is presented for astrophysical conditions. As in laboratory and geophysical cases convection takes place in a layered form. A translation between the astrophysical fluid mechanics and incompressible (Boussinesq) approximation is given, valid for thin layers. Its validity is checked by comparison of the results of fully compressible and Boussinesq simulations of semiconvection. A fitting formula is given for the superadiabatic gradient as a function of this parameter. The superadiabaticity depends on the thickness $d$ of the double "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5851","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":"2026-05-18T02:23:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xed6e1hbjnUGUcpi8BdHBEcEphJfdy0YK4diQmm+13nIqlne7up/mrizE1aGm5/YlcwbKzBi2W1aXS9SI9uSCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:54:02.849553Z"},"content_sha256":"8d127caaf7aab12779541927c8e86c7157a5043188e3fcde6d8b7a42012ec96a","schema_version":"1.0","event_id":"sha256:8d127caaf7aab12779541927c8e86c7157a5043188e3fcde6d8b7a42012ec96a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QRADI7LUXAJXJFFI47PI6DSSFG/bundle.json","state_url":"https://pith.science/pith/QRADI7LUXAJXJFFI47PI6DSSFG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QRADI7LUXAJXJFFI47PI6DSSFG/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":"2026-06-09T04:54:02Z","links":{"resolver":"https://pith.science/pith/QRADI7LUXAJXJFFI47PI6DSSFG","bundle":"https://pith.science/pith/QRADI7LUXAJXJFFI47PI6DSSFG/bundle.json","state":"https://pith.science/pith/QRADI7LUXAJXJFFI47PI6DSSFG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QRADI7LUXAJXJFFI47PI6DSSFG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QRADI7LUXAJXJFFI47PI6DSSFG","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":"8bba8b6cd4cc28214c2cd5e9d9dcc31b9d6fccbff1dca97d5ac603db4095037c","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-12-28T22:30:48Z","title_canon_sha256":"24d0cd1a091f3fd4f1d93658726bfecad3375ee88a572568749fcdd3932991df"},"schema_version":"1.0","source":{"id":"1012.5851","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5851","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5851v2","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5851","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"pith_short_12","alias_value":"QRADI7LUXAJX","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QRADI7LUXAJXJFFI","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QRADI7LU","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:8d127caaf7aab12779541927c8e86c7157a5043188e3fcde6d8b7a42012ec96a","target":"graph","created_at":"2026-05-18T02:23:06Z","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":"A grid of numerical simulations of double-diffusive convection is presented for astrophysical conditions. As in laboratory and geophysical cases convection takes place in a layered form. A translation between the astrophysical fluid mechanics and incompressible (Boussinesq) approximation is given, valid for thin layers. Its validity is checked by comparison of the results of fully compressible and Boussinesq simulations of semiconvection. A fitting formula is given for the superadiabatic gradient as a function of this parameter. The superadiabaticity depends on the thickness $d$ of the double ","authors_text":"F. Zaussinger, H.C. Spruit","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-12-28T22:30:48Z","title":"Semiconvection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5851","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":"sha256:081c09b2f15b516167d2a33b032f123868d6dd0eee2069dc6c7bf34d3053dd00","target":"record","created_at":"2026-05-18T02:23:06Z","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":"8bba8b6cd4cc28214c2cd5e9d9dcc31b9d6fccbff1dca97d5ac603db4095037c","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-12-28T22:30:48Z","title_canon_sha256":"24d0cd1a091f3fd4f1d93658726bfecad3375ee88a572568749fcdd3932991df"},"schema_version":"1.0","source":{"id":"1012.5851","kind":"arxiv","version":2}},"canonical_sha256":"8440347d74b8137494a8e7de8f0e5229adb34d7982b6444841979f1b28ffe495","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8440347d74b8137494a8e7de8f0e5229adb34d7982b6444841979f1b28ffe495","first_computed_at":"2026-05-18T02:23:06.164407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:06.164407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fvUeGWIHgOwZXOBMOZ31J+GBG9/tx7FlJB3YNMjf6aUp3KMj/rnBgX/IQw3D/bTRERVNFpH1fjj8aZ0rNgQUAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:06.165355Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.5851","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:081c09b2f15b516167d2a33b032f123868d6dd0eee2069dc6c7bf34d3053dd00","sha256:8d127caaf7aab12779541927c8e86c7157a5043188e3fcde6d8b7a42012ec96a"],"state_sha256":"1603cb0de2c726089c4f77991419bd096360f6d9ac2994e8d7ac00e9d1a261b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"umcFzdrsUim6x3dNkBnCtCDgMFfP3QgQ0LpjfIV3rcQKXp2gMDWL9PpOSzBaen9JUDWSnREiEUMj0d8rcVGWBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T04:54:02.853474Z","bundle_sha256":"144c0246e05eeaf0cd1490bdf581e13f97d6348221449c389ca157b4342a249d"}}