{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:VT6BMFDNIN4GYJ55T4AZN4PRMP","short_pith_number":"pith:VT6BMFDN","canonical_record":{"source":{"id":"1305.2864","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-05-13T17:29:54Z","cross_cats_sorted":["math-ph","math.AP","math.MP","physics.flu-dyn","q-bio.PE"],"title_canon_sha256":"6d4e8d2ad31db4d5fcbb0657d777ba41962379f8069b83497191e04116287648","abstract_canon_sha256":"0599e98479e03207978cfe332eed9ebf3c8d93e5a1c20455ec9b2aa7f305fb57"},"schema_version":"1.0"},"canonical_sha256":"acfc16146d43786c27bd9f0196f1f163e39e440e42d4c87ec782527076f34cd7","source":{"kind":"arxiv","id":"1305.2864","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2864","created_at":"2026-05-18T03:25:36Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2864v1","created_at":"2026-05-18T03:25:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2864","created_at":"2026-05-18T03:25:36Z"},{"alias_kind":"pith_short_12","alias_value":"VT6BMFDNIN4G","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VT6BMFDNIN4GYJ55","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VT6BMFDN","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:VT6BMFDNIN4GYJ55T4AZN4PRMP","target":"record","payload":{"canonical_record":{"source":{"id":"1305.2864","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-05-13T17:29:54Z","cross_cats_sorted":["math-ph","math.AP","math.MP","physics.flu-dyn","q-bio.PE"],"title_canon_sha256":"6d4e8d2ad31db4d5fcbb0657d777ba41962379f8069b83497191e04116287648","abstract_canon_sha256":"0599e98479e03207978cfe332eed9ebf3c8d93e5a1c20455ec9b2aa7f305fb57"},"schema_version":"1.0"},"canonical_sha256":"acfc16146d43786c27bd9f0196f1f163e39e440e42d4c87ec782527076f34cd7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:36.297169Z","signature_b64":"KYIvO4c60xYPByrTQyEsA9qzfBw6b33SM67dorQXBmA6+tLAkDWqLFj6oSvZJnMrl9JnQyXMj8+Uq6LXUD07CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acfc16146d43786c27bd9f0196f1f163e39e440e42d4c87ec782527076f34cd7","last_reissued_at":"2026-05-18T03:25:36.296347Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:36.296347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.2864","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":"2026-05-18T03:25:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dHqmo7LKT3fZJle8M0eOFGFBaofcleCQ+EUn/2owvmtfhgxaTvp341vjhuWf6Om2wedsteweITqA9hj3MtoBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T11:00:07.197856Z"},"content_sha256":"ffeb26097290ed25b92ac93299dd0588104207155b8635d99a3d9b0afae7e634","schema_version":"1.0","event_id":"sha256:ffeb26097290ed25b92ac93299dd0588104207155b8635d99a3d9b0afae7e634"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:VT6BMFDNIN4GYJ55T4AZN4PRMP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Major open problems in chaos theory and nonlinear dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP","physics.flu-dyn","q-bio.PE"],"primary_cat":"nlin.CD","authors_text":"Y. Charles Li","submitted_at":"2013-05-13T17:29:54Z","abstract_excerpt":"Nowadays, chaos theory and nonlinear dynamics lack research focuses. Here we mention a few major open problems: 1. an effective description of chaos and turbulence, 2. rough dependence on initial data, 3. arrow of time, 4. the paradox of enrichment, 5. the paradox of pesticides, 6. the paradox of plankton."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2864","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":"2026-05-18T03:25:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yFvLHTQCsO1fLGx2jDTeDnAiglUshJC0QdQZWOFrNvThSWkYIDa5SsOwXXcRSIuaOcbrSXeJFXZWk0Mqc5HwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T11:00:07.198212Z"},"content_sha256":"15589d5fb3f8e0a9caa31a7434995280cee8b0360f46d5cfe087fce223db59eb","schema_version":"1.0","event_id":"sha256:15589d5fb3f8e0a9caa31a7434995280cee8b0360f46d5cfe087fce223db59eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VT6BMFDNIN4GYJ55T4AZN4PRMP/bundle.json","state_url":"https://pith.science/pith/VT6BMFDNIN4GYJ55T4AZN4PRMP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VT6BMFDNIN4GYJ55T4AZN4PRMP/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":"2026-07-01T11:00:07Z","links":{"resolver":"https://pith.science/pith/VT6BMFDNIN4GYJ55T4AZN4PRMP","bundle":"https://pith.science/pith/VT6BMFDNIN4GYJ55T4AZN4PRMP/bundle.json","state":"https://pith.science/pith/VT6BMFDNIN4GYJ55T4AZN4PRMP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VT6BMFDNIN4GYJ55T4AZN4PRMP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VT6BMFDNIN4GYJ55T4AZN4PRMP","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":"0599e98479e03207978cfe332eed9ebf3c8d93e5a1c20455ec9b2aa7f305fb57","cross_cats_sorted":["math-ph","math.AP","math.MP","physics.flu-dyn","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-05-13T17:29:54Z","title_canon_sha256":"6d4e8d2ad31db4d5fcbb0657d777ba41962379f8069b83497191e04116287648"},"schema_version":"1.0","source":{"id":"1305.2864","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2864","created_at":"2026-05-18T03:25:36Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2864v1","created_at":"2026-05-18T03:25:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2864","created_at":"2026-05-18T03:25:36Z"},{"alias_kind":"pith_short_12","alias_value":"VT6BMFDNIN4G","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VT6BMFDNIN4GYJ55","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VT6BMFDN","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:15589d5fb3f8e0a9caa31a7434995280cee8b0360f46d5cfe087fce223db59eb","target":"graph","created_at":"2026-05-18T03:25:36Z","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":"Nowadays, chaos theory and nonlinear dynamics lack research focuses. Here we mention a few major open problems: 1. an effective description of chaos and turbulence, 2. rough dependence on initial data, 3. arrow of time, 4. the paradox of enrichment, 5. the paradox of pesticides, 6. the paradox of plankton.","authors_text":"Y. Charles Li","cross_cats":["math-ph","math.AP","math.MP","physics.flu-dyn","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-05-13T17:29:54Z","title":"Major open problems in chaos theory and nonlinear dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2864","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:ffeb26097290ed25b92ac93299dd0588104207155b8635d99a3d9b0afae7e634","target":"record","created_at":"2026-05-18T03:25:36Z","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":"0599e98479e03207978cfe332eed9ebf3c8d93e5a1c20455ec9b2aa7f305fb57","cross_cats_sorted":["math-ph","math.AP","math.MP","physics.flu-dyn","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-05-13T17:29:54Z","title_canon_sha256":"6d4e8d2ad31db4d5fcbb0657d777ba41962379f8069b83497191e04116287648"},"schema_version":"1.0","source":{"id":"1305.2864","kind":"arxiv","version":1}},"canonical_sha256":"acfc16146d43786c27bd9f0196f1f163e39e440e42d4c87ec782527076f34cd7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acfc16146d43786c27bd9f0196f1f163e39e440e42d4c87ec782527076f34cd7","first_computed_at":"2026-05-18T03:25:36.296347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:36.296347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KYIvO4c60xYPByrTQyEsA9qzfBw6b33SM67dorQXBmA6+tLAkDWqLFj6oSvZJnMrl9JnQyXMj8+Uq6LXUD07CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:36.297169Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.2864","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffeb26097290ed25b92ac93299dd0588104207155b8635d99a3d9b0afae7e634","sha256:15589d5fb3f8e0a9caa31a7434995280cee8b0360f46d5cfe087fce223db59eb"],"state_sha256":"ed0dbcf409665f4e7d5f0e197e40d5eb648b4523a496754659ff077ba547e1ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C0gD9MwWaYIJrttegno4HbysFufOnucH4ye1+uNPn6xsTDnDhtIhFGrDVbUVgF6YgndwxjHZiKhkmjpIzN1WBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T11:00:07.200280Z","bundle_sha256":"bed01a58def589d2f9d7cb725115f687ddad0fd6330f684fb7df13813b861162"}}