{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:6PYL2NV2KGYVUPEEMHNLV2DW3P","short_pith_number":"pith:6PYL2NV2","canonical_record":{"source":{"id":"1703.01487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-04T16:24:57Z","cross_cats_sorted":[],"title_canon_sha256":"d28e0bc1917c387643deb0d8fabe8d40c1807cd7dda8f77baa652d8fade58343","abstract_canon_sha256":"e68bcd6d58f14df48396cc07f1d8eb4ef1d73581ec20eaa5b2181a8a8c184179"},"schema_version":"1.0"},"canonical_sha256":"f3f0bd36ba51b15a3c8461dabae876dbe496be155c862e654c4eaa85d50333da","source":{"kind":"arxiv","id":"1703.01487","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01487","created_at":"2026-05-18T00:14:16Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01487v1","created_at":"2026-05-18T00:14:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01487","created_at":"2026-05-18T00:14:16Z"},{"alias_kind":"pith_short_12","alias_value":"6PYL2NV2KGYV","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6PYL2NV2KGYVUPEE","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6PYL2NV2","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:6PYL2NV2KGYVUPEEMHNLV2DW3P","target":"record","payload":{"canonical_record":{"source":{"id":"1703.01487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-04T16:24:57Z","cross_cats_sorted":[],"title_canon_sha256":"d28e0bc1917c387643deb0d8fabe8d40c1807cd7dda8f77baa652d8fade58343","abstract_canon_sha256":"e68bcd6d58f14df48396cc07f1d8eb4ef1d73581ec20eaa5b2181a8a8c184179"},"schema_version":"1.0"},"canonical_sha256":"f3f0bd36ba51b15a3c8461dabae876dbe496be155c862e654c4eaa85d50333da","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:16.559247Z","signature_b64":"6iGKwGjffK+Ar196uyo0XBHwAK0iajciinlm/Y83hrct0Dqmok54WAi7Thisim6X6X9PRWZLym+Q0V41fUymAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3f0bd36ba51b15a3c8461dabae876dbe496be155c862e654c4eaa85d50333da","last_reissued_at":"2026-05-18T00:14:16.558695Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:16.558695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.01487","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":"2026-05-18T00:14:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eUG8Sr5FdlHPuHulJE/WNcT2MqjEdD9tVCyvGPXTSZtXAbVqJZrNgtb2jUSnEwTSkpj3ZZVchDmlBG7hn/pqCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T05:24:36.874470Z"},"content_sha256":"535f20a4752d810c3555e31aa6d4aa1cf3371067b9c21864cf038a747036ade0","schema_version":"1.0","event_id":"sha256:535f20a4752d810c3555e31aa6d4aa1cf3371067b9c21864cf038a747036ade0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:6PYL2NV2KGYVUPEEMHNLV2DW3P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Blow-up for self-interacting fractional Ginzburg-Landau equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kazumasa Fujiwara, Tohru Ozawa, Vladimir Georgiev","submitted_at":"2017-03-04T16:24:57Z","abstract_excerpt":"The blow-up of solutions for the Cauchy problem of fractional Ginzburg-Landau equation with non-positive nonlinearity is shown by an ODE argument. Moreover, in one dimensional case, the optimal lifespan estimate for size of initial data is obtained."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01487","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":"2026-05-18T00:14:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"anSwnKupGsM+v/py8fom60iaPsnwLIOA3STH9kZlFci1/1CWtW4wDATvqFAzVPFDM6PT+n19TO6CHMhhHr80CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T05:24:36.875063Z"},"content_sha256":"5d9bf1786cd90f42fa2535e27c75d6c1e31148683008e2ed6b6376be810cca6c","schema_version":"1.0","event_id":"sha256:5d9bf1786cd90f42fa2535e27c75d6c1e31148683008e2ed6b6376be810cca6c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6PYL2NV2KGYVUPEEMHNLV2DW3P/bundle.json","state_url":"https://pith.science/pith/6PYL2NV2KGYVUPEEMHNLV2DW3P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6PYL2NV2KGYVUPEEMHNLV2DW3P/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":"2026-05-25T05:24:36Z","links":{"resolver":"https://pith.science/pith/6PYL2NV2KGYVUPEEMHNLV2DW3P","bundle":"https://pith.science/pith/6PYL2NV2KGYVUPEEMHNLV2DW3P/bundle.json","state":"https://pith.science/pith/6PYL2NV2KGYVUPEEMHNLV2DW3P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6PYL2NV2KGYVUPEEMHNLV2DW3P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6PYL2NV2KGYVUPEEMHNLV2DW3P","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":"e68bcd6d58f14df48396cc07f1d8eb4ef1d73581ec20eaa5b2181a8a8c184179","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-04T16:24:57Z","title_canon_sha256":"d28e0bc1917c387643deb0d8fabe8d40c1807cd7dda8f77baa652d8fade58343"},"schema_version":"1.0","source":{"id":"1703.01487","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01487","created_at":"2026-05-18T00:14:16Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01487v1","created_at":"2026-05-18T00:14:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01487","created_at":"2026-05-18T00:14:16Z"},{"alias_kind":"pith_short_12","alias_value":"6PYL2NV2KGYV","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6PYL2NV2KGYVUPEE","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6PYL2NV2","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:5d9bf1786cd90f42fa2535e27c75d6c1e31148683008e2ed6b6376be810cca6c","target":"graph","created_at":"2026-05-18T00:14:16Z","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 blow-up of solutions for the Cauchy problem of fractional Ginzburg-Landau equation with non-positive nonlinearity is shown by an ODE argument. Moreover, in one dimensional case, the optimal lifespan estimate for size of initial data is obtained.","authors_text":"Kazumasa Fujiwara, Tohru Ozawa, Vladimir Georgiev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-04T16:24:57Z","title":"Blow-up for self-interacting fractional Ginzburg-Landau equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01487","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":"sha256:535f20a4752d810c3555e31aa6d4aa1cf3371067b9c21864cf038a747036ade0","target":"record","created_at":"2026-05-18T00:14:16Z","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":"e68bcd6d58f14df48396cc07f1d8eb4ef1d73581ec20eaa5b2181a8a8c184179","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-04T16:24:57Z","title_canon_sha256":"d28e0bc1917c387643deb0d8fabe8d40c1807cd7dda8f77baa652d8fade58343"},"schema_version":"1.0","source":{"id":"1703.01487","kind":"arxiv","version":1}},"canonical_sha256":"f3f0bd36ba51b15a3c8461dabae876dbe496be155c862e654c4eaa85d50333da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3f0bd36ba51b15a3c8461dabae876dbe496be155c862e654c4eaa85d50333da","first_computed_at":"2026-05-18T00:14:16.558695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:16.558695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6iGKwGjffK+Ar196uyo0XBHwAK0iajciinlm/Y83hrct0Dqmok54WAi7Thisim6X6X9PRWZLym+Q0V41fUymAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:16.559247Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.01487","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:535f20a4752d810c3555e31aa6d4aa1cf3371067b9c21864cf038a747036ade0","sha256:5d9bf1786cd90f42fa2535e27c75d6c1e31148683008e2ed6b6376be810cca6c"],"state_sha256":"6174dd7c76a06929c7a5b1ba999a9eb3e85c5bf1815ac6d75ec35a6a8ed75a1c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VJKjcfSs+LHJzZyrxEtFcr3+87MJu58McDYL1AVPBcjg/L9W1nXJMdm5IYtcErImt9PtOlHJxBQo1dbPkfdBDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T05:24:36.877511Z","bundle_sha256":"4c04e2e52ee47ed5fe90931eb3ae40596cfc9740b36b88893c72191f3f6fae26"}}