{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:BSCITYXROOVNC6NBS2E3BGUUXI","short_pith_number":"pith:BSCITYXR","canonical_record":{"source":{"id":"1608.05822","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-08-20T13:35:19Z","cross_cats_sorted":[],"title_canon_sha256":"6a649636ba2c879d33588f3960d8e7a674ca0b2abb35831f29c6a95802610b3e","abstract_canon_sha256":"a5df3a1698f31511b964347371b851fc8a124cd0df19bcdb9784932433124be8"},"schema_version":"1.0"},"canonical_sha256":"0c8489e2f173aad179a19689b09a94ba2d74a3349a40f2b6cdbe207a6e8c5141","source":{"kind":"arxiv","id":"1608.05822","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.05822","created_at":"2026-05-18T01:06:20Z"},{"alias_kind":"arxiv_version","alias_value":"1608.05822v2","created_at":"2026-05-18T01:06:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.05822","created_at":"2026-05-18T01:06:20Z"},{"alias_kind":"pith_short_12","alias_value":"BSCITYXROOVN","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BSCITYXROOVNC6NB","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BSCITYXR","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:BSCITYXROOVNC6NBS2E3BGUUXI","target":"record","payload":{"canonical_record":{"source":{"id":"1608.05822","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-08-20T13:35:19Z","cross_cats_sorted":[],"title_canon_sha256":"6a649636ba2c879d33588f3960d8e7a674ca0b2abb35831f29c6a95802610b3e","abstract_canon_sha256":"a5df3a1698f31511b964347371b851fc8a124cd0df19bcdb9784932433124be8"},"schema_version":"1.0"},"canonical_sha256":"0c8489e2f173aad179a19689b09a94ba2d74a3349a40f2b6cdbe207a6e8c5141","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:20.345184Z","signature_b64":"cAXg2eyPr6Y6OSJWO9g6f+PCsG2Ne3gWcK1rOz63hg44LyRcIpgE6TTE8/Yu2wRXGQXcI4ezduwgW268tGSFDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c8489e2f173aad179a19689b09a94ba2d74a3349a40f2b6cdbe207a6e8c5141","last_reissued_at":"2026-05-18T01:06:20.344483Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:20.344483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.05822","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":"2026-05-18T01:06:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eDJ0XxTLZrYljqIcC2aJaPXHasdPev+Zc0myPywnKSFhu6+y5bfSy1/sMVuTqY669t7PmxMHQaYnxlDqmNPJDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T14:12:53.478963Z"},"content_sha256":"560f1b81239132ab77a4a521dba5e78fcc09c65fb2903a76f6265d2ad1601bcc","schema_version":"1.0","event_id":"sha256:560f1b81239132ab77a4a521dba5e78fcc09c65fb2903a76f6265d2ad1601bcc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:BSCITYXROOVNC6NBS2E3BGUUXI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A rigorous treatment of moist convection in a single column","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bin Cheng, Jingrui Cheng, John Norbury, Matthew Turner, Michael Cullen","submitted_at":"2016-08-20T13:35:19Z","abstract_excerpt":"We study a single column model of moist convection in the atmosphere. We state the conditions for it to represent a stable steady state. We then evolve the column by subjecting it to an upward displacement which can release instability, leading to a time dependent sequence of stable steady states. We propose a definition of measure valued solution to describe the time dependence and prove its existence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.05822","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":"2026-05-18T01:06:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xe4hOjUVntlrMVqfwBwMhbYPhZYEsJ0kxdgu/LEJ7hW8RSxOM+Z9391RAWmgpHVqABqgmSGlIj3iykQM5/WdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T14:12:53.479649Z"},"content_sha256":"36a262ff4bfc7ffab3c3adba51d774361aa11e895033323e869d53e6d82eb8a3","schema_version":"1.0","event_id":"sha256:36a262ff4bfc7ffab3c3adba51d774361aa11e895033323e869d53e6d82eb8a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BSCITYXROOVNC6NBS2E3BGUUXI/bundle.json","state_url":"https://pith.science/pith/BSCITYXROOVNC6NBS2E3BGUUXI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BSCITYXROOVNC6NBS2E3BGUUXI/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":"2026-06-06T14:12:53Z","links":{"resolver":"https://pith.science/pith/BSCITYXROOVNC6NBS2E3BGUUXI","bundle":"https://pith.science/pith/BSCITYXROOVNC6NBS2E3BGUUXI/bundle.json","state":"https://pith.science/pith/BSCITYXROOVNC6NBS2E3BGUUXI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BSCITYXROOVNC6NBS2E3BGUUXI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BSCITYXROOVNC6NBS2E3BGUUXI","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":"a5df3a1698f31511b964347371b851fc8a124cd0df19bcdb9784932433124be8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-08-20T13:35:19Z","title_canon_sha256":"6a649636ba2c879d33588f3960d8e7a674ca0b2abb35831f29c6a95802610b3e"},"schema_version":"1.0","source":{"id":"1608.05822","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.05822","created_at":"2026-05-18T01:06:20Z"},{"alias_kind":"arxiv_version","alias_value":"1608.05822v2","created_at":"2026-05-18T01:06:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.05822","created_at":"2026-05-18T01:06:20Z"},{"alias_kind":"pith_short_12","alias_value":"BSCITYXROOVN","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BSCITYXROOVNC6NB","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BSCITYXR","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:36a262ff4bfc7ffab3c3adba51d774361aa11e895033323e869d53e6d82eb8a3","target":"graph","created_at":"2026-05-18T01:06:20Z","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 study a single column model of moist convection in the atmosphere. We state the conditions for it to represent a stable steady state. We then evolve the column by subjecting it to an upward displacement which can release instability, leading to a time dependent sequence of stable steady states. We propose a definition of measure valued solution to describe the time dependence and prove its existence.","authors_text":"Bin Cheng, Jingrui Cheng, John Norbury, Matthew Turner, Michael Cullen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-08-20T13:35:19Z","title":"A rigorous treatment of moist convection in a single column"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.05822","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":"sha256:560f1b81239132ab77a4a521dba5e78fcc09c65fb2903a76f6265d2ad1601bcc","target":"record","created_at":"2026-05-18T01:06:20Z","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":"a5df3a1698f31511b964347371b851fc8a124cd0df19bcdb9784932433124be8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-08-20T13:35:19Z","title_canon_sha256":"6a649636ba2c879d33588f3960d8e7a674ca0b2abb35831f29c6a95802610b3e"},"schema_version":"1.0","source":{"id":"1608.05822","kind":"arxiv","version":2}},"canonical_sha256":"0c8489e2f173aad179a19689b09a94ba2d74a3349a40f2b6cdbe207a6e8c5141","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c8489e2f173aad179a19689b09a94ba2d74a3349a40f2b6cdbe207a6e8c5141","first_computed_at":"2026-05-18T01:06:20.344483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:20.344483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cAXg2eyPr6Y6OSJWO9g6f+PCsG2Ne3gWcK1rOz63hg44LyRcIpgE6TTE8/Yu2wRXGQXcI4ezduwgW268tGSFDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:20.345184Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.05822","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:560f1b81239132ab77a4a521dba5e78fcc09c65fb2903a76f6265d2ad1601bcc","sha256:36a262ff4bfc7ffab3c3adba51d774361aa11e895033323e869d53e6d82eb8a3"],"state_sha256":"7c4142ac41aeec4f9c630ca8074c995a84c89946685abcb78e5939a452723f7f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HLXOwEEfRWMAx64A3R4JM2os1d2ZjMvKtgU8e3wrpAYBa2ofdk1VBaig5msbDq74ELtMmArYC7AZx/d3rYA+Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T14:12:53.483620Z","bundle_sha256":"9aae6b0c94464492fe72e408f7aa7be99c0bf70459c69aae33667ea441d4becf"}}