{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RJN5SPAOVDABDMYXGJX7GQYZPY","short_pith_number":"pith:RJN5SPAO","canonical_record":{"source":{"id":"1604.02194","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-04-07T23:09:37Z","cross_cats_sorted":["nlin.CD","physics.comp-ph","physics.flu-dyn"],"title_canon_sha256":"61cec0b93f8c4a050d27fc97d15ba7b0365956d44a45841cd6cb997770fbb44b","abstract_canon_sha256":"81480971171f07d733caa1e57d32bf6d69bcbdc4946dfcd953ac2f9d1784d9a7"},"schema_version":"1.0"},"canonical_sha256":"8a5bd93c0ea8c011b317326ff343197e39e994afa5547a9735a2bc4ff4b4de5b","source":{"kind":"arxiv","id":"1604.02194","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02194","created_at":"2026-05-18T01:04:13Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02194v1","created_at":"2026-05-18T01:04:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02194","created_at":"2026-05-18T01:04:13Z"},{"alias_kind":"pith_short_12","alias_value":"RJN5SPAOVDAB","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RJN5SPAOVDABDMYX","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RJN5SPAO","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RJN5SPAOVDABDMYXGJX7GQYZPY","target":"record","payload":{"canonical_record":{"source":{"id":"1604.02194","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-04-07T23:09:37Z","cross_cats_sorted":["nlin.CD","physics.comp-ph","physics.flu-dyn"],"title_canon_sha256":"61cec0b93f8c4a050d27fc97d15ba7b0365956d44a45841cd6cb997770fbb44b","abstract_canon_sha256":"81480971171f07d733caa1e57d32bf6d69bcbdc4946dfcd953ac2f9d1784d9a7"},"schema_version":"1.0"},"canonical_sha256":"8a5bd93c0ea8c011b317326ff343197e39e994afa5547a9735a2bc4ff4b4de5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:13.397047Z","signature_b64":"eT6BvfN+BJ7cbO7cLypLrDkLeG6JhLIluiP5DZNKXWhSCEpaDe6bWbjrl8j2vcVLp2ejG7fGGrzPpzQPLYARCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a5bd93c0ea8c011b317326ff343197e39e994afa5547a9735a2bc4ff4b4de5b","last_reissued_at":"2026-05-18T01:04:13.396654Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:13.396654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.02194","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":"2026-05-18T01:04:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ed/9ZCFf443QwRNgfs2iCD+RPiaZag0YCwR+uB7/xC0OE5vGEGTOGLzGgdGHwnm+twuAgztEjZr0UrIqHCmQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:18:01.066712Z"},"content_sha256":"92284b672ea847f430affd2973d06b8d562d5cf3a1486fa258064b5b4da51c66","schema_version":"1.0","event_id":"sha256:92284b672ea847f430affd2973d06b8d562d5cf3a1486fa258064b5b4da51c66"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RJN5SPAOVDABDMYXGJX7GQYZPY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical indicators for the prediction of bursting phenomena in high-dimensional systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","physics.comp-ph","physics.flu-dyn"],"primary_cat":"math.DS","authors_text":"Mohammad Farazmand, Themistoklis Sapsis","submitted_at":"2016-04-07T23:09:37Z","abstract_excerpt":"Drawing upon the bursting mechanism in slow-fast systems, we propose indicators for the prediction of such rare extreme events which do not require a priori known slow and fast coordinates. The indicators are associated with functionals defined in terms of Optimally Time Dependent (OTD) modes. One such functional has the form of the largest eigenvalue of the symmetric part of the linearized dynamics reduced to these modes. In contrast to other choices of subspaces, the proposed modes are flow invariant and therefore a projection onto them is dynamically meaningful. We illustrate the applicatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02194","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":"2026-05-18T01:04:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4D5HgHfpzk019lOwyhTlWzeeJrqzPBq/xPVyKwbQdPBX/wdeDllCIANaSQT2dSLaUhaZpSpCGGwaQFuRUE79Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:18:01.067291Z"},"content_sha256":"eda58d48a34e298b88685676652b42ac541c9b72ecdebf7eb13459cee6ec5138","schema_version":"1.0","event_id":"sha256:eda58d48a34e298b88685676652b42ac541c9b72ecdebf7eb13459cee6ec5138"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RJN5SPAOVDABDMYXGJX7GQYZPY/bundle.json","state_url":"https://pith.science/pith/RJN5SPAOVDABDMYXGJX7GQYZPY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RJN5SPAOVDABDMYXGJX7GQYZPY/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":"2026-05-27T23:18:01Z","links":{"resolver":"https://pith.science/pith/RJN5SPAOVDABDMYXGJX7GQYZPY","bundle":"https://pith.science/pith/RJN5SPAOVDABDMYXGJX7GQYZPY/bundle.json","state":"https://pith.science/pith/RJN5SPAOVDABDMYXGJX7GQYZPY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RJN5SPAOVDABDMYXGJX7GQYZPY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RJN5SPAOVDABDMYXGJX7GQYZPY","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":"81480971171f07d733caa1e57d32bf6d69bcbdc4946dfcd953ac2f9d1784d9a7","cross_cats_sorted":["nlin.CD","physics.comp-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-04-07T23:09:37Z","title_canon_sha256":"61cec0b93f8c4a050d27fc97d15ba7b0365956d44a45841cd6cb997770fbb44b"},"schema_version":"1.0","source":{"id":"1604.02194","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02194","created_at":"2026-05-18T01:04:13Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02194v1","created_at":"2026-05-18T01:04:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02194","created_at":"2026-05-18T01:04:13Z"},{"alias_kind":"pith_short_12","alias_value":"RJN5SPAOVDAB","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RJN5SPAOVDABDMYX","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RJN5SPAO","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:eda58d48a34e298b88685676652b42ac541c9b72ecdebf7eb13459cee6ec5138","target":"graph","created_at":"2026-05-18T01:04:13Z","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":"Drawing upon the bursting mechanism in slow-fast systems, we propose indicators for the prediction of such rare extreme events which do not require a priori known slow and fast coordinates. The indicators are associated with functionals defined in terms of Optimally Time Dependent (OTD) modes. One such functional has the form of the largest eigenvalue of the symmetric part of the linearized dynamics reduced to these modes. In contrast to other choices of subspaces, the proposed modes are flow invariant and therefore a projection onto them is dynamically meaningful. We illustrate the applicatio","authors_text":"Mohammad Farazmand, Themistoklis Sapsis","cross_cats":["nlin.CD","physics.comp-ph","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-04-07T23:09:37Z","title":"Dynamical indicators for the prediction of bursting phenomena in high-dimensional systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02194","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":"sha256:92284b672ea847f430affd2973d06b8d562d5cf3a1486fa258064b5b4da51c66","target":"record","created_at":"2026-05-18T01:04:13Z","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":"81480971171f07d733caa1e57d32bf6d69bcbdc4946dfcd953ac2f9d1784d9a7","cross_cats_sorted":["nlin.CD","physics.comp-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-04-07T23:09:37Z","title_canon_sha256":"61cec0b93f8c4a050d27fc97d15ba7b0365956d44a45841cd6cb997770fbb44b"},"schema_version":"1.0","source":{"id":"1604.02194","kind":"arxiv","version":1}},"canonical_sha256":"8a5bd93c0ea8c011b317326ff343197e39e994afa5547a9735a2bc4ff4b4de5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a5bd93c0ea8c011b317326ff343197e39e994afa5547a9735a2bc4ff4b4de5b","first_computed_at":"2026-05-18T01:04:13.396654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:13.396654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eT6BvfN+BJ7cbO7cLypLrDkLeG6JhLIluiP5DZNKXWhSCEpaDe6bWbjrl8j2vcVLp2ejG7fGGrzPpzQPLYARCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:13.397047Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02194","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92284b672ea847f430affd2973d06b8d562d5cf3a1486fa258064b5b4da51c66","sha256:eda58d48a34e298b88685676652b42ac541c9b72ecdebf7eb13459cee6ec5138"],"state_sha256":"bf49dc6cc4c83226a11080a2098e14733a589bfe6a477f5bbef2f39a19f4bbe0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AZ0hHXcXu7yWjvJ96XDF+JE4am2x2aJBSGN89n/+tb99BoHbldryGEA/kl9z8UJoMu+942lnyPpSBlB8ByX9DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T23:18:01.071046Z","bundle_sha256":"b0ee26a7c402417c816020521116960d0e81ff73428e36881004b0f063afa392"}}