{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:QSE4OSKPLFBUWJXR7VZ5KGHZXT","short_pith_number":"pith:QSE4OSKP","canonical_record":{"source":{"id":"1908.09495","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-08-26T06:47:49Z","cross_cats_sorted":[],"title_canon_sha256":"c6b398bc134c327cf0d6ef7ecd96646e2976570d6bdd4bc953e86ae08bd3fcf5","abstract_canon_sha256":"5b595b6f834b5f0e0566ef7670c14890c963fc941fc66aaf8bc860bfc0db3f4f"},"schema_version":"1.0"},"canonical_sha256":"8489c7494f59434b26f1fd73d518f9bcddaee7ba63a247ec8232344806ed05e1","source":{"kind":"arxiv","id":"1908.09495","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.09495","created_at":"2026-07-05T00:17:12Z"},{"alias_kind":"arxiv_version","alias_value":"1908.09495v1","created_at":"2026-07-05T00:17:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.09495","created_at":"2026-07-05T00:17:12Z"},{"alias_kind":"pith_short_12","alias_value":"QSE4OSKPLFBU","created_at":"2026-07-05T00:17:12Z"},{"alias_kind":"pith_short_16","alias_value":"QSE4OSKPLFBUWJXR","created_at":"2026-07-05T00:17:12Z"},{"alias_kind":"pith_short_8","alias_value":"QSE4OSKP","created_at":"2026-07-05T00:17:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:QSE4OSKPLFBUWJXR7VZ5KGHZXT","target":"record","payload":{"canonical_record":{"source":{"id":"1908.09495","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-08-26T06:47:49Z","cross_cats_sorted":[],"title_canon_sha256":"c6b398bc134c327cf0d6ef7ecd96646e2976570d6bdd4bc953e86ae08bd3fcf5","abstract_canon_sha256":"5b595b6f834b5f0e0566ef7670c14890c963fc941fc66aaf8bc860bfc0db3f4f"},"schema_version":"1.0"},"canonical_sha256":"8489c7494f59434b26f1fd73d518f9bcddaee7ba63a247ec8232344806ed05e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:17:12.143368Z","signature_b64":"b1iFh6wXP6ZXsGCL+0b3ezbz28Hfk7QcDFKz/EfFfGPMuNCQObEj3UyXb6opIVLDdkZ4ewrq47y8zvrW1YfXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8489c7494f59434b26f1fd73d518f9bcddaee7ba63a247ec8232344806ed05e1","last_reissued_at":"2026-07-05T00:17:12.142878Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:17:12.142878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.09495","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":"2026-07-05T00:17:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"esPJ55tB8BSn/9kKsKq0r6wkVw3wLGeD8MDYFQma0lX4eAfcg56Oq4iv+aHlzYmiQSyhE3EwjXBU+8MtN7ivBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T06:08:18.823377Z"},"content_sha256":"2a04afd9780799569263abbbfd7a595755ccbb37988dc342c0dbf85b4f5e0e08","schema_version":"1.0","event_id":"sha256:2a04afd9780799569263abbbfd7a595755ccbb37988dc342c0dbf85b4f5e0e08"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:QSE4OSKPLFBUWJXR7VZ5KGHZXT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pattern formation in reaction-diffusion systems with piece-wise kinetic modulation: an example study of heterogeneous kinetics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Eamonn A Gaffney, Michal Koz\\'ak, V\\'aclav Klika","submitted_at":"2019-08-26T06:47:49Z","abstract_excerpt":"The study of pattern emergence together with exploration of the exemplar Turing model is enjoying a renaissance both from theoretical and experimental perspective. Here, we implement a stability analysis of spatially dependent reaction kinetics by exploring the effect of a jump discontinuity within piece-wise constant kinetic parameters, using various methods to identify and confirm the diffusion-driven instability conditions. Essentially, the presence of stability or instability in Turing models is a local property for piece-wise constant kinetic parameters and, as such, may be analysed local"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.09495","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.09495/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:17:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w04y0SccZRPzM/hBOpi+iLJfhH+EofS45d6l448Fn15083hdpR5Zn4XM0Xu2dC2ww/ssRy2WrIV1p1zNtg9TAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T06:08:18.824402Z"},"content_sha256":"f54d3ca42f849c45f32fd7f3155c43842bc9ded76131c431423be1d45eade8fc","schema_version":"1.0","event_id":"sha256:f54d3ca42f849c45f32fd7f3155c43842bc9ded76131c431423be1d45eade8fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QSE4OSKPLFBUWJXR7VZ5KGHZXT/bundle.json","state_url":"https://pith.science/pith/QSE4OSKPLFBUWJXR7VZ5KGHZXT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QSE4OSKPLFBUWJXR7VZ5KGHZXT/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":"2026-08-16T06:08:18Z","links":{"resolver":"https://pith.science/pith/QSE4OSKPLFBUWJXR7VZ5KGHZXT","bundle":"https://pith.science/pith/QSE4OSKPLFBUWJXR7VZ5KGHZXT/bundle.json","state":"https://pith.science/pith/QSE4OSKPLFBUWJXR7VZ5KGHZXT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QSE4OSKPLFBUWJXR7VZ5KGHZXT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QSE4OSKPLFBUWJXR7VZ5KGHZXT","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":"5b595b6f834b5f0e0566ef7670c14890c963fc941fc66aaf8bc860bfc0db3f4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-08-26T06:47:49Z","title_canon_sha256":"c6b398bc134c327cf0d6ef7ecd96646e2976570d6bdd4bc953e86ae08bd3fcf5"},"schema_version":"1.0","source":{"id":"1908.09495","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.09495","created_at":"2026-07-05T00:17:12Z"},{"alias_kind":"arxiv_version","alias_value":"1908.09495v1","created_at":"2026-07-05T00:17:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.09495","created_at":"2026-07-05T00:17:12Z"},{"alias_kind":"pith_short_12","alias_value":"QSE4OSKPLFBU","created_at":"2026-07-05T00:17:12Z"},{"alias_kind":"pith_short_16","alias_value":"QSE4OSKPLFBUWJXR","created_at":"2026-07-05T00:17:12Z"},{"alias_kind":"pith_short_8","alias_value":"QSE4OSKP","created_at":"2026-07-05T00:17:12Z"}],"graph_snapshots":[{"event_id":"sha256:f54d3ca42f849c45f32fd7f3155c43842bc9ded76131c431423be1d45eade8fc","target":"graph","created_at":"2026-07-05T00:17:12Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.09495/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The study of pattern emergence together with exploration of the exemplar Turing model is enjoying a renaissance both from theoretical and experimental perspective. Here, we implement a stability analysis of spatially dependent reaction kinetics by exploring the effect of a jump discontinuity within piece-wise constant kinetic parameters, using various methods to identify and confirm the diffusion-driven instability conditions. Essentially, the presence of stability or instability in Turing models is a local property for piece-wise constant kinetic parameters and, as such, may be analysed local","authors_text":"Eamonn A Gaffney, Michal Koz\\'ak, V\\'aclav Klika","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-08-26T06:47:49Z","title":"Pattern formation in reaction-diffusion systems with piece-wise kinetic modulation: an example study of heterogeneous kinetics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.09495","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":"sha256:2a04afd9780799569263abbbfd7a595755ccbb37988dc342c0dbf85b4f5e0e08","target":"record","created_at":"2026-07-05T00:17:12Z","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":"5b595b6f834b5f0e0566ef7670c14890c963fc941fc66aaf8bc860bfc0db3f4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-08-26T06:47:49Z","title_canon_sha256":"c6b398bc134c327cf0d6ef7ecd96646e2976570d6bdd4bc953e86ae08bd3fcf5"},"schema_version":"1.0","source":{"id":"1908.09495","kind":"arxiv","version":1}},"canonical_sha256":"8489c7494f59434b26f1fd73d518f9bcddaee7ba63a247ec8232344806ed05e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8489c7494f59434b26f1fd73d518f9bcddaee7ba63a247ec8232344806ed05e1","first_computed_at":"2026-07-05T00:17:12.142878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:17:12.142878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b1iFh6wXP6ZXsGCL+0b3ezbz28Hfk7QcDFKz/EfFfGPMuNCQObEj3UyXb6opIVLDdkZ4ewrq47y8zvrW1YfXBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:17:12.143368Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.09495","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a04afd9780799569263abbbfd7a595755ccbb37988dc342c0dbf85b4f5e0e08","sha256:f54d3ca42f849c45f32fd7f3155c43842bc9ded76131c431423be1d45eade8fc"],"state_sha256":"a47fddf25f083d00acff5dcddf8009e0c89411323092d592a8928e6bbdff1747"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pnK26YPBaGFkQbrV2KIMDPmbIBW+7JHV3thhr0ZFJziES0UR7Q4tx1Qym5y+8lNE34lCdHTkw3G/MAGalqzEBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T06:08:18.833530Z","bundle_sha256":"3f3c058353b0741153a601819d97a2647914a1f4ad5ef32578e9ed521c8e2c75"}}