{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:2NFKTI5DXTMUHDEQZPPWUL5GTJ","short_pith_number":"pith:2NFKTI5D","canonical_record":{"source":{"id":"1604.05616","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-19T15:11:09Z","cross_cats_sorted":[],"title_canon_sha256":"316a63cf8d8e951a4e8dc65e81e7f684332e23a609aae0e9155bc0dd6b731229","abstract_canon_sha256":"8ccdc7004d79c3d6bafb82bdaddd63768ae6d40ed8dc8b2ec1f2542759d7e9f0"},"schema_version":"1.0"},"canonical_sha256":"d34aa9a3a3bcd9438c90cbdf6a2fa69a483a4e24a8d9d79d53df8359e9d7e159","source":{"kind":"arxiv","id":"1604.05616","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05616","created_at":"2026-05-18T01:00:53Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05616v1","created_at":"2026-05-18T01:00:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05616","created_at":"2026-05-18T01:00:53Z"},{"alias_kind":"pith_short_12","alias_value":"2NFKTI5DXTMU","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2NFKTI5DXTMUHDEQ","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2NFKTI5D","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:2NFKTI5DXTMUHDEQZPPWUL5GTJ","target":"record","payload":{"canonical_record":{"source":{"id":"1604.05616","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-19T15:11:09Z","cross_cats_sorted":[],"title_canon_sha256":"316a63cf8d8e951a4e8dc65e81e7f684332e23a609aae0e9155bc0dd6b731229","abstract_canon_sha256":"8ccdc7004d79c3d6bafb82bdaddd63768ae6d40ed8dc8b2ec1f2542759d7e9f0"},"schema_version":"1.0"},"canonical_sha256":"d34aa9a3a3bcd9438c90cbdf6a2fa69a483a4e24a8d9d79d53df8359e9d7e159","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:53.140826Z","signature_b64":"65D90RRRef3Dqi7aEwD3cd2WyGo21TbY3cgvQ6Kdq8HyM9EoTvkZ+netPMEguOczqfDZZainTV28Z7u12SFLCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d34aa9a3a3bcd9438c90cbdf6a2fa69a483a4e24a8d9d79d53df8359e9d7e159","last_reissued_at":"2026-05-18T01:00:53.140018Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:53.140018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.05616","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":"2026-05-18T01:00:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b8/GIY2TxGzgr3JqczJpcZA0EzFzUgLxuN0kDWFrh/bVccnsAdsegsr4oMaKrLhpTUNKi7TC0f2u2XgYLgB2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:08:29.211477Z"},"content_sha256":"2478e8be6320f444ad816817a3c4aa7fd174180de022ce252519fadb792439e6","schema_version":"1.0","event_id":"sha256:2478e8be6320f444ad816817a3c4aa7fd174180de022ce252519fadb792439e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:2NFKTI5DXTMUHDEQZPPWUL5GTJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite time blowup for parabolic systems in two dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Connor Mooney","submitted_at":"2016-04-19T15:11:09Z","abstract_excerpt":"We construct examples of finite time singularity from smooth data for linear uniformly parabolic systems in the plane. We obtain similar examples for quasilinear systems with coefficients that depend only on the solution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05616","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":"2026-05-18T01:00:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K4VsAQ3vlCVZfPLPBUegxQvil4A7FoGWH4KoHAfXPyEart66DYNzhgZuTIuOWUfseegb/go12pdDGhpFbDqkCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:08:29.212146Z"},"content_sha256":"2f15dc40d7a1f53b526dc0a568062f06b1b6c206e92bf2b30a3d63108595e01a","schema_version":"1.0","event_id":"sha256:2f15dc40d7a1f53b526dc0a568062f06b1b6c206e92bf2b30a3d63108595e01a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2NFKTI5DXTMUHDEQZPPWUL5GTJ/bundle.json","state_url":"https://pith.science/pith/2NFKTI5DXTMUHDEQZPPWUL5GTJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2NFKTI5DXTMUHDEQZPPWUL5GTJ/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":"2026-05-30T12:08:29Z","links":{"resolver":"https://pith.science/pith/2NFKTI5DXTMUHDEQZPPWUL5GTJ","bundle":"https://pith.science/pith/2NFKTI5DXTMUHDEQZPPWUL5GTJ/bundle.json","state":"https://pith.science/pith/2NFKTI5DXTMUHDEQZPPWUL5GTJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2NFKTI5DXTMUHDEQZPPWUL5GTJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2NFKTI5DXTMUHDEQZPPWUL5GTJ","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":"8ccdc7004d79c3d6bafb82bdaddd63768ae6d40ed8dc8b2ec1f2542759d7e9f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-19T15:11:09Z","title_canon_sha256":"316a63cf8d8e951a4e8dc65e81e7f684332e23a609aae0e9155bc0dd6b731229"},"schema_version":"1.0","source":{"id":"1604.05616","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05616","created_at":"2026-05-18T01:00:53Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05616v1","created_at":"2026-05-18T01:00:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05616","created_at":"2026-05-18T01:00:53Z"},{"alias_kind":"pith_short_12","alias_value":"2NFKTI5DXTMU","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2NFKTI5DXTMUHDEQ","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2NFKTI5D","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:2f15dc40d7a1f53b526dc0a568062f06b1b6c206e92bf2b30a3d63108595e01a","target":"graph","created_at":"2026-05-18T01:00:53Z","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":"We construct examples of finite time singularity from smooth data for linear uniformly parabolic systems in the plane. We obtain similar examples for quasilinear systems with coefficients that depend only on the solution.","authors_text":"Connor Mooney","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-19T15:11:09Z","title":"Finite time blowup for parabolic systems in two dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05616","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":"sha256:2478e8be6320f444ad816817a3c4aa7fd174180de022ce252519fadb792439e6","target":"record","created_at":"2026-05-18T01:00:53Z","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":"8ccdc7004d79c3d6bafb82bdaddd63768ae6d40ed8dc8b2ec1f2542759d7e9f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-19T15:11:09Z","title_canon_sha256":"316a63cf8d8e951a4e8dc65e81e7f684332e23a609aae0e9155bc0dd6b731229"},"schema_version":"1.0","source":{"id":"1604.05616","kind":"arxiv","version":1}},"canonical_sha256":"d34aa9a3a3bcd9438c90cbdf6a2fa69a483a4e24a8d9d79d53df8359e9d7e159","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d34aa9a3a3bcd9438c90cbdf6a2fa69a483a4e24a8d9d79d53df8359e9d7e159","first_computed_at":"2026-05-18T01:00:53.140018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:53.140018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"65D90RRRef3Dqi7aEwD3cd2WyGo21TbY3cgvQ6Kdq8HyM9EoTvkZ+netPMEguOczqfDZZainTV28Z7u12SFLCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:53.140826Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.05616","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2478e8be6320f444ad816817a3c4aa7fd174180de022ce252519fadb792439e6","sha256:2f15dc40d7a1f53b526dc0a568062f06b1b6c206e92bf2b30a3d63108595e01a"],"state_sha256":"fcf3b1f99785f6869bff28b163df7694cec40378168bb7b9a936714f0131a35a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gyw4EmZp3CgWUXTLIuDaauUQi5E2z6WQdfcUa0NeuDsJ8YmPU5xY1rsmcehhJH3EoOmCx1aMHPOjuWyYvNRiBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T12:08:29.215588Z","bundle_sha256":"dbe503896b7167714ed574ff53c04ccd5f8df416eea4d550ef78fa5ddf7c566d"}}