{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MEXP4BAI5WJKOUYO22DF3ONTSZ","short_pith_number":"pith:MEXP4BAI","canonical_record":{"source":{"id":"1202.0277","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-02-01T13:03:43Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"a12497ff3d82260137efe36ec1bd216de52c3acf46deb27313cddb0424a1b029","abstract_canon_sha256":"8d4aff5b2ccf7ce2c74c876725f48edf0399201f741d58348c6d86e275cc0499"},"schema_version":"1.0"},"canonical_sha256":"612efe0408ed92a7530ed6865db9b396470d7d07a2fa907f8157c57eab39d7df","source":{"kind":"arxiv","id":"1202.0277","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.0277","created_at":"2026-05-18T01:58:36Z"},{"alias_kind":"arxiv_version","alias_value":"1202.0277v1","created_at":"2026-05-18T01:58:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.0277","created_at":"2026-05-18T01:58:36Z"},{"alias_kind":"pith_short_12","alias_value":"MEXP4BAI5WJK","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MEXP4BAI5WJKOUYO","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MEXP4BAI","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MEXP4BAI5WJKOUYO22DF3ONTSZ","target":"record","payload":{"canonical_record":{"source":{"id":"1202.0277","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-02-01T13:03:43Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"a12497ff3d82260137efe36ec1bd216de52c3acf46deb27313cddb0424a1b029","abstract_canon_sha256":"8d4aff5b2ccf7ce2c74c876725f48edf0399201f741d58348c6d86e275cc0499"},"schema_version":"1.0"},"canonical_sha256":"612efe0408ed92a7530ed6865db9b396470d7d07a2fa907f8157c57eab39d7df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:36.677591Z","signature_b64":"dX4yhEMcrZ65KEpKygEex3VJ7usI2J+8jJi1prP4tEGoq4KCQYOOwOvoUONTqAPygwnyoThJOwwfsL8VvhbuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"612efe0408ed92a7530ed6865db9b396470d7d07a2fa907f8157c57eab39d7df","last_reissued_at":"2026-05-18T01:58:36.676867Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:36.676867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.0277","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":"2026-05-18T01:58:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wMxdsJUPW3pINT/Gz3dQYQJAFKfEyDGFEZ8KhOrh1XPrRpSYc7pIHYR9SHRciKCT5qpT83EXU+Oe0WwFGTYoCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T04:04:48.600306Z"},"content_sha256":"099fd59d3862c7cce2d51f12ed5f3ad4bbc32b452fac1d04b530f2c91592218f","schema_version":"1.0","event_id":"sha256:099fd59d3862c7cce2d51f12ed5f3ad4bbc32b452fac1d04b530f2c91592218f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MEXP4BAI5WJKOUYO22DF3ONTSZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the growth of laminar-turbulent patterns in plane Couette flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"physics.flu-dyn","authors_text":"Paul Manneville","submitted_at":"2012-02-01T13:03:43Z","abstract_excerpt":"The growth of laminar-turbulent band patterns in plane Couette flow is studied in the vicinity of the global stability threshold R_g below which laminar flow ultimately prevails. Appropriately tailored direct numerical simulations are performed to manage systems extended enough to accommodate several bands. The initial state or germ is an oblique turbulent patch of limited extent. The growth is seen to result from several competing processes: (i) nucleation of turbulent patches close to or at the extremities of already formed band segments, with the same obliquity as the germ or the opposite o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.0277","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":"2026-05-18T01:58:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mkgZ65DLwJzYm1rnKYFsNA9x7ZBvzK/DPafEpapXXr7kqqLEpwhpSzGNLzqYR2WpGQbFCUJdfVvwo2m4Qyu7Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T04:04:48.600669Z"},"content_sha256":"28713332a556f20f46c21c0d2ac1ea244c5e83bf0a89d51e00f1a464a9d73d96","schema_version":"1.0","event_id":"sha256:28713332a556f20f46c21c0d2ac1ea244c5e83bf0a89d51e00f1a464a9d73d96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MEXP4BAI5WJKOUYO22DF3ONTSZ/bundle.json","state_url":"https://pith.science/pith/MEXP4BAI5WJKOUYO22DF3ONTSZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MEXP4BAI5WJKOUYO22DF3ONTSZ/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":"2026-07-02T04:04:48Z","links":{"resolver":"https://pith.science/pith/MEXP4BAI5WJKOUYO22DF3ONTSZ","bundle":"https://pith.science/pith/MEXP4BAI5WJKOUYO22DF3ONTSZ/bundle.json","state":"https://pith.science/pith/MEXP4BAI5WJKOUYO22DF3ONTSZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MEXP4BAI5WJKOUYO22DF3ONTSZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MEXP4BAI5WJKOUYO22DF3ONTSZ","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":"8d4aff5b2ccf7ce2c74c876725f48edf0399201f741d58348c6d86e275cc0499","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-02-01T13:03:43Z","title_canon_sha256":"a12497ff3d82260137efe36ec1bd216de52c3acf46deb27313cddb0424a1b029"},"schema_version":"1.0","source":{"id":"1202.0277","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.0277","created_at":"2026-05-18T01:58:36Z"},{"alias_kind":"arxiv_version","alias_value":"1202.0277v1","created_at":"2026-05-18T01:58:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.0277","created_at":"2026-05-18T01:58:36Z"},{"alias_kind":"pith_short_12","alias_value":"MEXP4BAI5WJK","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MEXP4BAI5WJKOUYO","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MEXP4BAI","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:28713332a556f20f46c21c0d2ac1ea244c5e83bf0a89d51e00f1a464a9d73d96","target":"graph","created_at":"2026-05-18T01:58:36Z","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 growth of laminar-turbulent band patterns in plane Couette flow is studied in the vicinity of the global stability threshold R_g below which laminar flow ultimately prevails. Appropriately tailored direct numerical simulations are performed to manage systems extended enough to accommodate several bands. The initial state or germ is an oblique turbulent patch of limited extent. The growth is seen to result from several competing processes: (i) nucleation of turbulent patches close to or at the extremities of already formed band segments, with the same obliquity as the germ or the opposite o","authors_text":"Paul Manneville","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-02-01T13:03:43Z","title":"On the growth of laminar-turbulent patterns in plane Couette flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.0277","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":"sha256:099fd59d3862c7cce2d51f12ed5f3ad4bbc32b452fac1d04b530f2c91592218f","target":"record","created_at":"2026-05-18T01:58:36Z","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":"8d4aff5b2ccf7ce2c74c876725f48edf0399201f741d58348c6d86e275cc0499","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-02-01T13:03:43Z","title_canon_sha256":"a12497ff3d82260137efe36ec1bd216de52c3acf46deb27313cddb0424a1b029"},"schema_version":"1.0","source":{"id":"1202.0277","kind":"arxiv","version":1}},"canonical_sha256":"612efe0408ed92a7530ed6865db9b396470d7d07a2fa907f8157c57eab39d7df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"612efe0408ed92a7530ed6865db9b396470d7d07a2fa907f8157c57eab39d7df","first_computed_at":"2026-05-18T01:58:36.676867Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:36.676867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dX4yhEMcrZ65KEpKygEex3VJ7usI2J+8jJi1prP4tEGoq4KCQYOOwOvoUONTqAPygwnyoThJOwwfsL8VvhbuDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:36.677591Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.0277","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:099fd59d3862c7cce2d51f12ed5f3ad4bbc32b452fac1d04b530f2c91592218f","sha256:28713332a556f20f46c21c0d2ac1ea244c5e83bf0a89d51e00f1a464a9d73d96"],"state_sha256":"3aa1a38e1f2d9faac5ba42f496f320b9ee53cc9f0411d16c8a1d3da45bc7568f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"quLltyUNSNVvyLOX5aLb9D6MluOcYNwEkr+/Cqz50M0O5Wx2Id9GqlsEUMecJPG6mQAvZjrs1A6QqNILI/v0Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T04:04:48.602590Z","bundle_sha256":"e35ab81b483525290353dabe3f162c618ad6a7f37b8debf15485fdbcd5677af1"}}