{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:OVWRQQRNG26JWU25FYJDAXF2GX","short_pith_number":"pith:OVWRQQRN","canonical_record":{"source":{"id":"1903.10715","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-26T07:41:33Z","cross_cats_sorted":[],"title_canon_sha256":"37ef74366ec435d55ccfd236fcbb92397d6ac3b105d983d1be80a9a722d6ae9c","abstract_canon_sha256":"03687710b689646c6bdbb74ef1f688e29f06353bc4db965b151eb0c81bf4d1b3"},"schema_version":"1.0"},"canonical_sha256":"756d18422d36bc9b535d2e12305cba35d3f20630b9945eb564b55a8e8b530544","source":{"kind":"arxiv","id":"1903.10715","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.10715","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"arxiv_version","alias_value":"1903.10715v2","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.10715","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"pith_short_12","alias_value":"OVWRQQRNG26J","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"OVWRQQRNG26JWU25","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"OVWRQQRN","created_at":"2026-05-18T12:33:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:OVWRQQRNG26JWU25FYJDAXF2GX","target":"record","payload":{"canonical_record":{"source":{"id":"1903.10715","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-26T07:41:33Z","cross_cats_sorted":[],"title_canon_sha256":"37ef74366ec435d55ccfd236fcbb92397d6ac3b105d983d1be80a9a722d6ae9c","abstract_canon_sha256":"03687710b689646c6bdbb74ef1f688e29f06353bc4db965b151eb0c81bf4d1b3"},"schema_version":"1.0"},"canonical_sha256":"756d18422d36bc9b535d2e12305cba35d3f20630b9945eb564b55a8e8b530544","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:57.759252Z","signature_b64":"V9q6S1S6iP2YMRXl9b2YDDBwmyF+RMo1Wg2YccuK7vuPYd0SgH99A8z/zEuUL5c7M+pE2iiHGFwv4GbKU0mDAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"756d18422d36bc9b535d2e12305cba35d3f20630b9945eb564b55a8e8b530544","last_reissued_at":"2026-05-17T23:45:57.758506Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:57.758506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.10715","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:45:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bIkcreEpnyrSP3K3ART6p0g1/bPddbOZPANKSCCVqt4RKdXMjl0Uu8YoRW1nBp5qIdwSrrC00nVxgFlgTPuaCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:08:14.418160Z"},"content_sha256":"c1e8b774bfac35b7e937216e41a08be82fd779fbb5a8498fe00c4a835b9af91c","schema_version":"1.0","event_id":"sha256:c1e8b774bfac35b7e937216e41a08be82fd779fbb5a8498fe00c4a835b9af91c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:OVWRQQRNG26JWU25FYJDAXF2GX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A well-posedness for the reaction diffusion equations of Belousov-Zhabotinsky reaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Novrianti, N. Tsuge, O. Sawada, S. Kondo","submitted_at":"2019-03-26T07:41:33Z","abstract_excerpt":"The time-global existence of unique smooth positive solutions to the reaction diffusion equations of the Keener-Tyson model for the Belousov-Zhabotinsky reaction in the whole space is established with bounded non-negative initial data. Deriving estimates of semigroups and time evolution operators, and applying the maximum principle, the unique existence and the positivity of solutions are ensured by construction of time-local solutions from certain successive approximation. Invariant regions and long time behavior of solutions are also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.10715","kind":"arxiv","version":2},"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":"2026-05-17T23:45:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lCrKzM9bv2zm/v5nU/RuCdtKXIQaF/7a5u8kZok8LsgZCdavwIDbC0l9ebmmQwXF9mvEmGimQO12avaGbrQACQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:08:14.418873Z"},"content_sha256":"bce1cc5dbfaf0a6f7765ec9df693ca72c540b7785fffe16f7d2258a0bfdf4b4d","schema_version":"1.0","event_id":"sha256:bce1cc5dbfaf0a6f7765ec9df693ca72c540b7785fffe16f7d2258a0bfdf4b4d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OVWRQQRNG26JWU25FYJDAXF2GX/bundle.json","state_url":"https://pith.science/pith/OVWRQQRNG26JWU25FYJDAXF2GX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OVWRQQRNG26JWU25FYJDAXF2GX/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":"2026-05-28T22:08:14Z","links":{"resolver":"https://pith.science/pith/OVWRQQRNG26JWU25FYJDAXF2GX","bundle":"https://pith.science/pith/OVWRQQRNG26JWU25FYJDAXF2GX/bundle.json","state":"https://pith.science/pith/OVWRQQRNG26JWU25FYJDAXF2GX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OVWRQQRNG26JWU25FYJDAXF2GX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:OVWRQQRNG26JWU25FYJDAXF2GX","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":"03687710b689646c6bdbb74ef1f688e29f06353bc4db965b151eb0c81bf4d1b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-26T07:41:33Z","title_canon_sha256":"37ef74366ec435d55ccfd236fcbb92397d6ac3b105d983d1be80a9a722d6ae9c"},"schema_version":"1.0","source":{"id":"1903.10715","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.10715","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"arxiv_version","alias_value":"1903.10715v2","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.10715","created_at":"2026-05-17T23:45:57Z"},{"alias_kind":"pith_short_12","alias_value":"OVWRQQRNG26J","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"OVWRQQRNG26JWU25","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"OVWRQQRN","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:bce1cc5dbfaf0a6f7765ec9df693ca72c540b7785fffe16f7d2258a0bfdf4b4d","target":"graph","created_at":"2026-05-17T23:45:57Z","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 time-global existence of unique smooth positive solutions to the reaction diffusion equations of the Keener-Tyson model for the Belousov-Zhabotinsky reaction in the whole space is established with bounded non-negative initial data. Deriving estimates of semigroups and time evolution operators, and applying the maximum principle, the unique existence and the positivity of solutions are ensured by construction of time-local solutions from certain successive approximation. Invariant regions and long time behavior of solutions are also discussed.","authors_text":"Novrianti, N. Tsuge, O. Sawada, S. Kondo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-26T07:41:33Z","title":"A well-posedness for the reaction diffusion equations of Belousov-Zhabotinsky reaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.10715","kind":"arxiv","version":2},"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:c1e8b774bfac35b7e937216e41a08be82fd779fbb5a8498fe00c4a835b9af91c","target":"record","created_at":"2026-05-17T23:45:57Z","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":"03687710b689646c6bdbb74ef1f688e29f06353bc4db965b151eb0c81bf4d1b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-26T07:41:33Z","title_canon_sha256":"37ef74366ec435d55ccfd236fcbb92397d6ac3b105d983d1be80a9a722d6ae9c"},"schema_version":"1.0","source":{"id":"1903.10715","kind":"arxiv","version":2}},"canonical_sha256":"756d18422d36bc9b535d2e12305cba35d3f20630b9945eb564b55a8e8b530544","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"756d18422d36bc9b535d2e12305cba35d3f20630b9945eb564b55a8e8b530544","first_computed_at":"2026-05-17T23:45:57.758506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:57.758506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V9q6S1S6iP2YMRXl9b2YDDBwmyF+RMo1Wg2YccuK7vuPYd0SgH99A8z/zEuUL5c7M+pE2iiHGFwv4GbKU0mDAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:57.759252Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.10715","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1e8b774bfac35b7e937216e41a08be82fd779fbb5a8498fe00c4a835b9af91c","sha256:bce1cc5dbfaf0a6f7765ec9df693ca72c540b7785fffe16f7d2258a0bfdf4b4d"],"state_sha256":"1d57990edfe0a0e91026f1bec248f07f8ef7b70215d2806e3cec5f547bbaa221"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AIqEb3b55Dod0hEtrjehypml8T5CFcU9kDFASX8h4DsPsVvZf3teT+3eTBcDxCAr35efjBisJIg6qJiiHhNrBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:08:14.423155Z","bundle_sha256":"c866b54080ea44d7de0db3e63b44c69332e067fbbb0d6621d9f147176915d260"}}