{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:4LAE6UNGBPLE767NA5AODJMS7A","short_pith_number":"pith:4LAE6UNG","canonical_record":{"source":{"id":"1502.03289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-02-11T12:59:50Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"190ff486d29ef767ca083e7a28e9b0948ec376cad0afbfea57621fa5049cb8b5","abstract_canon_sha256":"409c013b72900c1f63325964d07de109dd4e2f118c2ae085078e5e250c67c9aa"},"schema_version":"1.0"},"canonical_sha256":"e2c04f51a60bd64ffbed0740e1a592f802b086d87ee4f2ff72d63032e86c0a66","source":{"kind":"arxiv","id":"1502.03289","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03289","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03289v1","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03289","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"pith_short_12","alias_value":"4LAE6UNGBPLE","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4LAE6UNGBPLE767N","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4LAE6UNG","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:4LAE6UNGBPLE767NA5AODJMS7A","target":"record","payload":{"canonical_record":{"source":{"id":"1502.03289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-02-11T12:59:50Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"190ff486d29ef767ca083e7a28e9b0948ec376cad0afbfea57621fa5049cb8b5","abstract_canon_sha256":"409c013b72900c1f63325964d07de109dd4e2f118c2ae085078e5e250c67c9aa"},"schema_version":"1.0"},"canonical_sha256":"e2c04f51a60bd64ffbed0740e1a592f802b086d87ee4f2ff72d63032e86c0a66","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:19.824499Z","signature_b64":"KyIryMncn4Gj67uSCI3DMck2UZVBSFJaAKtmRbsJ46r3+XMKLS5kJG2hMhI8MLhZ/cAuC3mp+Ngbl4Z3yYZhBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2c04f51a60bd64ffbed0740e1a592f802b086d87ee4f2ff72d63032e86c0a66","last_reissued_at":"2026-05-18T02:27:19.823704Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:19.823704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.03289","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":"2026-05-18T02:27:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qx0m2O70w+MuAlOFaMm7D0A/xLd9ltulpLww7nzMuQf4R6DUf8aITegZP5inrtqoQSk0P56NG8D2JEhWcXNkAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:28:38.989041Z"},"content_sha256":"4f3de03063fa187fcfc001b1bc05a9d6e13c1b059586a41f759a2e0ea059238c","schema_version":"1.0","event_id":"sha256:4f3de03063fa187fcfc001b1bc05a9d6e13c1b059586a41f759a2e0ea059238c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:4LAE6UNGBPLE767NA5AODJMS7A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite time blowup of generalized Euler ODE in matrix geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CA","authors_text":"Jiaojiao Li, Li Ma","submitted_at":"2015-02-11T12:59:50Z","abstract_excerpt":"In this paper, we study the finite time blowup of the generalized Euler ODE in the matrix geometry. We can extend Sullivan's result which is about the finite time blowup result of initial invertible linear operators to singular linear operators. we can give a complete answer to the question of Sullivan in the case when the initial matrix A is symmetric in the finite dimensional vector space W. Some open questions are proposed in the last part of the paper."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03289","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":"2026-05-18T02:27:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bMyAKdj4Y5DANTydEQIpTPJ5mCeAhAxk9e1mNDMn4pXlXQQa29By8ANl7ryL5yTInuSTykiBcNaH5bR8pINiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:28:38.989408Z"},"content_sha256":"5d63043813a1915adfb3a79f45dec4beef8ea4db01fb1001709555b0960c31d6","schema_version":"1.0","event_id":"sha256:5d63043813a1915adfb3a79f45dec4beef8ea4db01fb1001709555b0960c31d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4LAE6UNGBPLE767NA5AODJMS7A/bundle.json","state_url":"https://pith.science/pith/4LAE6UNGBPLE767NA5AODJMS7A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4LAE6UNGBPLE767NA5AODJMS7A/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":"2026-06-01T21:28:38Z","links":{"resolver":"https://pith.science/pith/4LAE6UNGBPLE767NA5AODJMS7A","bundle":"https://pith.science/pith/4LAE6UNGBPLE767NA5AODJMS7A/bundle.json","state":"https://pith.science/pith/4LAE6UNGBPLE767NA5AODJMS7A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4LAE6UNGBPLE767NA5AODJMS7A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4LAE6UNGBPLE767NA5AODJMS7A","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":"409c013b72900c1f63325964d07de109dd4e2f118c2ae085078e5e250c67c9aa","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-02-11T12:59:50Z","title_canon_sha256":"190ff486d29ef767ca083e7a28e9b0948ec376cad0afbfea57621fa5049cb8b5"},"schema_version":"1.0","source":{"id":"1502.03289","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03289","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03289v1","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03289","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"pith_short_12","alias_value":"4LAE6UNGBPLE","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4LAE6UNGBPLE767N","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4LAE6UNG","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:5d63043813a1915adfb3a79f45dec4beef8ea4db01fb1001709555b0960c31d6","target":"graph","created_at":"2026-05-18T02:27:19Z","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":"In this paper, we study the finite time blowup of the generalized Euler ODE in the matrix geometry. We can extend Sullivan's result which is about the finite time blowup result of initial invertible linear operators to singular linear operators. we can give a complete answer to the question of Sullivan in the case when the initial matrix A is symmetric in the finite dimensional vector space W. Some open questions are proposed in the last part of the paper.","authors_text":"Jiaojiao Li, Li Ma","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-02-11T12:59:50Z","title":"Finite time blowup of generalized Euler ODE in matrix geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03289","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":"sha256:4f3de03063fa187fcfc001b1bc05a9d6e13c1b059586a41f759a2e0ea059238c","target":"record","created_at":"2026-05-18T02:27:19Z","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":"409c013b72900c1f63325964d07de109dd4e2f118c2ae085078e5e250c67c9aa","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-02-11T12:59:50Z","title_canon_sha256":"190ff486d29ef767ca083e7a28e9b0948ec376cad0afbfea57621fa5049cb8b5"},"schema_version":"1.0","source":{"id":"1502.03289","kind":"arxiv","version":1}},"canonical_sha256":"e2c04f51a60bd64ffbed0740e1a592f802b086d87ee4f2ff72d63032e86c0a66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2c04f51a60bd64ffbed0740e1a592f802b086d87ee4f2ff72d63032e86c0a66","first_computed_at":"2026-05-18T02:27:19.823704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:19.823704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KyIryMncn4Gj67uSCI3DMck2UZVBSFJaAKtmRbsJ46r3+XMKLS5kJG2hMhI8MLhZ/cAuC3mp+Ngbl4Z3yYZhBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:19.824499Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.03289","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f3de03063fa187fcfc001b1bc05a9d6e13c1b059586a41f759a2e0ea059238c","sha256:5d63043813a1915adfb3a79f45dec4beef8ea4db01fb1001709555b0960c31d6"],"state_sha256":"2daf77a89176246a6201297ab4227933740c03a639939c014f56b9c2fd7663d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hf1fdzU32ZyKX8LupO3q+/G1yj382HeCbW8B3BN2xehR2S+iIexAns9RLju5yIK6d16M6Z+YRwLZZIE8HzeTBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:28:38.991352Z","bundle_sha256":"17b2704e1186cb6cb7d2b6bbdae3a058c9533bc17537249a184f96ce2d71b58c"}}