{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:WBIAYW74SOZOYD4MCSLPZJNI6Z","short_pith_number":"pith:WBIAYW74","canonical_record":{"source":{"id":"1302.0735","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-02-04T15:58:20Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"3b5c68c0be08a6c56ad2a2964da185146b6fd8265ce8b2d8d5fcb673beeaceb2","abstract_canon_sha256":"05f1f7364c6396f11333987168b6725aedaa8993a6ffc729ea97ece47809d8b6"},"schema_version":"1.0"},"canonical_sha256":"b0500c5bfc93b2ec0f8c1496fca5a8f67f02d63bf40f1771aaabef2e6a2f45d8","source":{"kind":"arxiv","id":"1302.0735","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0735","created_at":"2026-05-18T03:08:14Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0735v2","created_at":"2026-05-18T03:08:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0735","created_at":"2026-05-18T03:08:14Z"},{"alias_kind":"pith_short_12","alias_value":"WBIAYW74SOZO","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WBIAYW74SOZOYD4M","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WBIAYW74","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:WBIAYW74SOZOYD4MCSLPZJNI6Z","target":"record","payload":{"canonical_record":{"source":{"id":"1302.0735","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-02-04T15:58:20Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"3b5c68c0be08a6c56ad2a2964da185146b6fd8265ce8b2d8d5fcb673beeaceb2","abstract_canon_sha256":"05f1f7364c6396f11333987168b6725aedaa8993a6ffc729ea97ece47809d8b6"},"schema_version":"1.0"},"canonical_sha256":"b0500c5bfc93b2ec0f8c1496fca5a8f67f02d63bf40f1771aaabef2e6a2f45d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:14.326130Z","signature_b64":"nZNPuYcgulRGDYuwxLzt/TOFb74T1zZkc/6oYFNVJzE8+KsZ5h+NO2YuiJ/fMW8Sgwgb/bht4PUywB+67MIRCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0500c5bfc93b2ec0f8c1496fca5a8f67f02d63bf40f1771aaabef2e6a2f45d8","last_reissued_at":"2026-05-18T03:08:14.325663Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:14.325663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.0735","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":"2026-05-18T03:08:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JjvLtymHQcDlIgb+p04TujTnlSbtWUWtg60EzzCYb1zyT9icxu5Pxw1/ixbPKdzP73+jHTiNDEZ4iG72eATfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:15:25.764673Z"},"content_sha256":"bf13ff9d30ff3e6c728d8da97f19ddaf7490270843a865a4ecbc643226314e6e","schema_version":"1.0","event_id":"sha256:bf13ff9d30ff3e6c728d8da97f19ddaf7490270843a865a4ecbc643226314e6e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:WBIAYW74SOZOYD4MCSLPZJNI6Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bifurcations and dynamics in convection with temperature-dependent viscosity in the presence of the O(2) symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.flu-dyn","authors_text":"Ana M. Mancho, Jezabel Curbelo","submitted_at":"2013-02-04T15:58:20Z","abstract_excerpt":"We focus the study of a convection problem in a 2D setup in the presence of the O(2) symmetry. The viscosity in the fluid depends on the temperature as it changes its value abruptly in an interval around a temperature of transition. The influence of the viscosity law on the morphology of the plumes is examined for several parameter settings, and a variety of shapes ranging from spout to mushroom shaped is found. We explore the impact of the symmetry on the time evolution of this type of fluid, and find solutions which are greatly influenced by its presence: at a large aspect ratio and high Ray"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0735","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":"2026-05-18T03:08:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UwbR84Gjo60G1AkkwC/9XZxRXPJ6G+S0C5Oa7m/yO3GVH1H0oqEmJKxi8Dq/yA5EkECbSuCgZEuVaQNuZrfgBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:15:25.765364Z"},"content_sha256":"0310d8392460ff46b87a9d7f9fc29f2b1dfb27ab7194c262e954201930c93b3e","schema_version":"1.0","event_id":"sha256:0310d8392460ff46b87a9d7f9fc29f2b1dfb27ab7194c262e954201930c93b3e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WBIAYW74SOZOYD4MCSLPZJNI6Z/bundle.json","state_url":"https://pith.science/pith/WBIAYW74SOZOYD4MCSLPZJNI6Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WBIAYW74SOZOYD4MCSLPZJNI6Z/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":"2026-05-27T19:15:25Z","links":{"resolver":"https://pith.science/pith/WBIAYW74SOZOYD4MCSLPZJNI6Z","bundle":"https://pith.science/pith/WBIAYW74SOZOYD4MCSLPZJNI6Z/bundle.json","state":"https://pith.science/pith/WBIAYW74SOZOYD4MCSLPZJNI6Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WBIAYW74SOZOYD4MCSLPZJNI6Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WBIAYW74SOZOYD4MCSLPZJNI6Z","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":"05f1f7364c6396f11333987168b6725aedaa8993a6ffc729ea97ece47809d8b6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-02-04T15:58:20Z","title_canon_sha256":"3b5c68c0be08a6c56ad2a2964da185146b6fd8265ce8b2d8d5fcb673beeaceb2"},"schema_version":"1.0","source":{"id":"1302.0735","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0735","created_at":"2026-05-18T03:08:14Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0735v2","created_at":"2026-05-18T03:08:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0735","created_at":"2026-05-18T03:08:14Z"},{"alias_kind":"pith_short_12","alias_value":"WBIAYW74SOZO","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WBIAYW74SOZOYD4M","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WBIAYW74","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:0310d8392460ff46b87a9d7f9fc29f2b1dfb27ab7194c262e954201930c93b3e","target":"graph","created_at":"2026-05-18T03:08:14Z","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 focus the study of a convection problem in a 2D setup in the presence of the O(2) symmetry. The viscosity in the fluid depends on the temperature as it changes its value abruptly in an interval around a temperature of transition. The influence of the viscosity law on the morphology of the plumes is examined for several parameter settings, and a variety of shapes ranging from spout to mushroom shaped is found. We explore the impact of the symmetry on the time evolution of this type of fluid, and find solutions which are greatly influenced by its presence: at a large aspect ratio and high Ray","authors_text":"Ana M. Mancho, Jezabel Curbelo","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-02-04T15:58:20Z","title":"Bifurcations and dynamics in convection with temperature-dependent viscosity in the presence of the O(2) symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0735","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:bf13ff9d30ff3e6c728d8da97f19ddaf7490270843a865a4ecbc643226314e6e","target":"record","created_at":"2026-05-18T03:08:14Z","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":"05f1f7364c6396f11333987168b6725aedaa8993a6ffc729ea97ece47809d8b6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-02-04T15:58:20Z","title_canon_sha256":"3b5c68c0be08a6c56ad2a2964da185146b6fd8265ce8b2d8d5fcb673beeaceb2"},"schema_version":"1.0","source":{"id":"1302.0735","kind":"arxiv","version":2}},"canonical_sha256":"b0500c5bfc93b2ec0f8c1496fca5a8f67f02d63bf40f1771aaabef2e6a2f45d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0500c5bfc93b2ec0f8c1496fca5a8f67f02d63bf40f1771aaabef2e6a2f45d8","first_computed_at":"2026-05-18T03:08:14.325663Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:14.325663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nZNPuYcgulRGDYuwxLzt/TOFb74T1zZkc/6oYFNVJzE8+KsZ5h+NO2YuiJ/fMW8Sgwgb/bht4PUywB+67MIRCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:14.326130Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.0735","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf13ff9d30ff3e6c728d8da97f19ddaf7490270843a865a4ecbc643226314e6e","sha256:0310d8392460ff46b87a9d7f9fc29f2b1dfb27ab7194c262e954201930c93b3e"],"state_sha256":"37902f826b5cfacbc09237421621c7c4069e50f2d4db1ccb00471e66af7df0ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BmmkJ+cYrkTrOnV1Chq5l8nBS+sbzAXVog5DY0AtMQ0UvS7cEJefQn/57FXWmtqOU53SQzSU0nm1t2G8Jo38BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:15:25.768815Z","bundle_sha256":"1f9af6966132fbe3538773d6e2af6c38c91d1141eb232647efe252e6d3033472"}}