{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LM6KAPMGHHGEYANGGMKC2YMIQV","short_pith_number":"pith:LM6KAPMG","canonical_record":{"source":{"id":"1303.1797","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-03-07T20:05:39Z","cross_cats_sorted":[],"title_canon_sha256":"00dfbf6369d20775d974461726b86bdd4d6648e90c85e698a2cabca0a38c9091","abstract_canon_sha256":"eb7f4a2456a47f2e1c758dbbfe60058e9ee4c5b91d0704e87a6bc6f08fc0fbcf"},"schema_version":"1.0"},"canonical_sha256":"5b3ca03d8639cc4c01a633142d6188854e791b7f95783d8b828e8ddf58509ed4","source":{"kind":"arxiv","id":"1303.1797","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1797","created_at":"2026-05-18T01:51:15Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1797v2","created_at":"2026-05-18T01:51:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1797","created_at":"2026-05-18T01:51:15Z"},{"alias_kind":"pith_short_12","alias_value":"LM6KAPMGHHGE","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LM6KAPMGHHGEYANG","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LM6KAPMG","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LM6KAPMGHHGEYANGGMKC2YMIQV","target":"record","payload":{"canonical_record":{"source":{"id":"1303.1797","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-03-07T20:05:39Z","cross_cats_sorted":[],"title_canon_sha256":"00dfbf6369d20775d974461726b86bdd4d6648e90c85e698a2cabca0a38c9091","abstract_canon_sha256":"eb7f4a2456a47f2e1c758dbbfe60058e9ee4c5b91d0704e87a6bc6f08fc0fbcf"},"schema_version":"1.0"},"canonical_sha256":"5b3ca03d8639cc4c01a633142d6188854e791b7f95783d8b828e8ddf58509ed4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:15.596760Z","signature_b64":"hUFTN8N7GX7VTtFhJ7tyqdWxJOu8QdRcP2elALZZNzVRyBYYhJocTtA1Oh1/ETT1svzUpjAMd9a/Ywo4MIkOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b3ca03d8639cc4c01a633142d6188854e791b7f95783d8b828e8ddf58509ed4","last_reissued_at":"2026-05-18T01:51:15.596129Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:15.596129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.1797","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":"2026-05-18T01:51:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JsWCyaahf/CoTPVTqUGKpewJE6Y2MWbuB5An2st8rl0MJfWnv4SaR5SEHng+iQPMDRh6JeN7bmUf5p3HbeIFAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:52:36.088170Z"},"content_sha256":"92ac43dc4c3acaffd06fd3b787ada8d0a02d61ffd465578a1d8ddf0b906f77b0","schema_version":"1.0","event_id":"sha256:92ac43dc4c3acaffd06fd3b787ada8d0a02d61ffd465578a1d8ddf0b906f77b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LM6KAPMGHHGEYANGGMKC2YMIQV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Edge of Chaos and Genesis of Turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Abraham C.-L. Chian, Erico Rempel, Pablo R. Mu\\~noz","submitted_at":"2013-03-07T20:05:39Z","abstract_excerpt":"The edge of chaos is analyzed in a spatially extended system, modeled by the regularized long-wave equation, prior to the transition to permanent spatiotemporal chaos. In the presence of coexisting attractors, a chaotic saddle is born at the basin boundary due to a smooth-fractal metamorphosis. As a control parameter is varied, the chaotic transient evolves to well-developed transient turbulence via a cascade of fractal-fractal metamorphoses. The edge state responsible for the edge of chaos and the genesis of turbulence is an unstable travelling wave in the laboratory frame, corresponding to a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1797","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":"2026-05-18T01:51:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dl++Ay+5SGQG7I2XpnSHGdmC65ZK78+GUiBacnBIYv7J78dblFCRet7JTA/lTfH+vJokClFziLSrjppUaCNqCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:52:36.088540Z"},"content_sha256":"3b0c318bdd55090efe4b389d8a8b07d5f653c771361ceb2aabd421dacc06b08b","schema_version":"1.0","event_id":"sha256:3b0c318bdd55090efe4b389d8a8b07d5f653c771361ceb2aabd421dacc06b08b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LM6KAPMGHHGEYANGGMKC2YMIQV/bundle.json","state_url":"https://pith.science/pith/LM6KAPMGHHGEYANGGMKC2YMIQV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LM6KAPMGHHGEYANGGMKC2YMIQV/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":"2026-06-09T15:52:36Z","links":{"resolver":"https://pith.science/pith/LM6KAPMGHHGEYANGGMKC2YMIQV","bundle":"https://pith.science/pith/LM6KAPMGHHGEYANGGMKC2YMIQV/bundle.json","state":"https://pith.science/pith/LM6KAPMGHHGEYANGGMKC2YMIQV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LM6KAPMGHHGEYANGGMKC2YMIQV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LM6KAPMGHHGEYANGGMKC2YMIQV","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":"eb7f4a2456a47f2e1c758dbbfe60058e9ee4c5b91d0704e87a6bc6f08fc0fbcf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-03-07T20:05:39Z","title_canon_sha256":"00dfbf6369d20775d974461726b86bdd4d6648e90c85e698a2cabca0a38c9091"},"schema_version":"1.0","source":{"id":"1303.1797","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1797","created_at":"2026-05-18T01:51:15Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1797v2","created_at":"2026-05-18T01:51:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1797","created_at":"2026-05-18T01:51:15Z"},{"alias_kind":"pith_short_12","alias_value":"LM6KAPMGHHGE","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LM6KAPMGHHGEYANG","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LM6KAPMG","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:3b0c318bdd55090efe4b389d8a8b07d5f653c771361ceb2aabd421dacc06b08b","target":"graph","created_at":"2026-05-18T01:51:15Z","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 edge of chaos is analyzed in a spatially extended system, modeled by the regularized long-wave equation, prior to the transition to permanent spatiotemporal chaos. In the presence of coexisting attractors, a chaotic saddle is born at the basin boundary due to a smooth-fractal metamorphosis. As a control parameter is varied, the chaotic transient evolves to well-developed transient turbulence via a cascade of fractal-fractal metamorphoses. The edge state responsible for the edge of chaos and the genesis of turbulence is an unstable travelling wave in the laboratory frame, corresponding to a","authors_text":"Abraham C.-L. Chian, Erico Rempel, Pablo R. Mu\\~noz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-03-07T20:05:39Z","title":"Edge of Chaos and Genesis of Turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1797","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":"sha256:92ac43dc4c3acaffd06fd3b787ada8d0a02d61ffd465578a1d8ddf0b906f77b0","target":"record","created_at":"2026-05-18T01:51:15Z","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":"eb7f4a2456a47f2e1c758dbbfe60058e9ee4c5b91d0704e87a6bc6f08fc0fbcf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-03-07T20:05:39Z","title_canon_sha256":"00dfbf6369d20775d974461726b86bdd4d6648e90c85e698a2cabca0a38c9091"},"schema_version":"1.0","source":{"id":"1303.1797","kind":"arxiv","version":2}},"canonical_sha256":"5b3ca03d8639cc4c01a633142d6188854e791b7f95783d8b828e8ddf58509ed4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b3ca03d8639cc4c01a633142d6188854e791b7f95783d8b828e8ddf58509ed4","first_computed_at":"2026-05-18T01:51:15.596129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:15.596129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hUFTN8N7GX7VTtFhJ7tyqdWxJOu8QdRcP2elALZZNzVRyBYYhJocTtA1Oh1/ETT1svzUpjAMd9a/Ywo4MIkOBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:15.596760Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1797","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92ac43dc4c3acaffd06fd3b787ada8d0a02d61ffd465578a1d8ddf0b906f77b0","sha256:3b0c318bdd55090efe4b389d8a8b07d5f653c771361ceb2aabd421dacc06b08b"],"state_sha256":"06aaf97cd76545ed66f7cf4123371c4f64db9d69495ee938e07a1ba2054de19d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FLo3cXUFFlQ6YATjTA1xsyqTU7dhp2ZqolSWmOdo0cEjTXQAnSnDYNSPW7lnAvCrMMahOXve/EOy6D7FiJJLDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T15:52:36.091162Z","bundle_sha256":"adfbef1b4e79d3bedbf70399faf61577c6d42b98c6ecc9ba3cb5e848db83f83d"}}