{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SMXC65STJMRIQD3YWUQV4YCRWV","short_pith_number":"pith:SMXC65ST","canonical_record":{"source":{"id":"1603.01038","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-03-03T10:01:24Z","cross_cats_sorted":[],"title_canon_sha256":"f3a8bf96a43bca1e10163eab0d75f9e57e8220479ab200ef4ec9aeb50c19f9e1","abstract_canon_sha256":"53efd728a6d60ca6d49d933120192d3fb29d9e82a711340960251d584276382f"},"schema_version":"1.0"},"canonical_sha256":"932e2f76534b22880f78b5215e6051b5609f10d534da1e6daf608466c2aa9ac5","source":{"kind":"arxiv","id":"1603.01038","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.01038","created_at":"2026-05-18T00:51:51Z"},{"alias_kind":"arxiv_version","alias_value":"1603.01038v1","created_at":"2026-05-18T00:51:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01038","created_at":"2026-05-18T00:51:51Z"},{"alias_kind":"pith_short_12","alias_value":"SMXC65STJMRI","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SMXC65STJMRIQD3Y","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SMXC65ST","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SMXC65STJMRIQD3YWUQV4YCRWV","target":"record","payload":{"canonical_record":{"source":{"id":"1603.01038","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-03-03T10:01:24Z","cross_cats_sorted":[],"title_canon_sha256":"f3a8bf96a43bca1e10163eab0d75f9e57e8220479ab200ef4ec9aeb50c19f9e1","abstract_canon_sha256":"53efd728a6d60ca6d49d933120192d3fb29d9e82a711340960251d584276382f"},"schema_version":"1.0"},"canonical_sha256":"932e2f76534b22880f78b5215e6051b5609f10d534da1e6daf608466c2aa9ac5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:51.722852Z","signature_b64":"N882UYOfP7G0Mf6W6UPc/ZxZvA1DK9GgXshSwvJAHUCdA/Pig/54SPr9+BGY7yGvHSLwfjHD6SmVG44+R0GBCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"932e2f76534b22880f78b5215e6051b5609f10d534da1e6daf608466c2aa9ac5","last_reissued_at":"2026-05-18T00:51:51.722239Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:51.722239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.01038","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":"2026-05-18T00:51:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lYlKQLcTzpPGoanFN9kYZyN9FFU26aDkPEu5BX8HmDqhPJAxZNfkD+OmXLPQLI/ghs6BI+40LTZ1tfOvsakFBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:29:27.628755Z"},"content_sha256":"280bc9e5b795a589bd4ac6be5d0afca284d8189d9dab7612bb4a49860f6b05cf","schema_version":"1.0","event_id":"sha256:280bc9e5b795a589bd4ac6be5d0afca284d8189d9dab7612bb4a49860f6b05cf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SMXC65STJMRIQD3YWUQV4YCRWV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boundary-Induced Pattern Formation from Temporal Oscillation: Spatial Map Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Kunihiko Kaneko, Takahiro Kohsokabe","submitted_at":"2016-03-03T10:01:24Z","abstract_excerpt":"Boundary-induced pattern formation from a spatially uniform state is investigated using one-dimensional reaction-diffusion equations. The temporal oscillation is successively transformed into a spatially periodic pattern, triggered by diffusion from the fixed boundary. We introduced a spatial map, whose temporal sequence, under selection criteria from multiple stationary solutions, can completely reproduce the emergent pattern, by replacing the time with space. The relationship of the pattern wavelength with the period of oscillation is also obtained. The generality of the pattern selection pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01038","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":"2026-05-18T00:51:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TVXGvVWZVfLIohxzMIOs9UyxjkT12XzSTURadQMts06ep3UP2eIF8yB5Np2RWBVpAeURQxNGaE2lJT7tcHTJBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:29:27.629556Z"},"content_sha256":"867a71f33dacdeea7fa8e9f6e47f9cf1fc191e6272e13ae50939a2c0b6db5c6c","schema_version":"1.0","event_id":"sha256:867a71f33dacdeea7fa8e9f6e47f9cf1fc191e6272e13ae50939a2c0b6db5c6c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SMXC65STJMRIQD3YWUQV4YCRWV/bundle.json","state_url":"https://pith.science/pith/SMXC65STJMRIQD3YWUQV4YCRWV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SMXC65STJMRIQD3YWUQV4YCRWV/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":"2026-05-30T18:29:27Z","links":{"resolver":"https://pith.science/pith/SMXC65STJMRIQD3YWUQV4YCRWV","bundle":"https://pith.science/pith/SMXC65STJMRIQD3YWUQV4YCRWV/bundle.json","state":"https://pith.science/pith/SMXC65STJMRIQD3YWUQV4YCRWV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SMXC65STJMRIQD3YWUQV4YCRWV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SMXC65STJMRIQD3YWUQV4YCRWV","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":"53efd728a6d60ca6d49d933120192d3fb29d9e82a711340960251d584276382f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-03-03T10:01:24Z","title_canon_sha256":"f3a8bf96a43bca1e10163eab0d75f9e57e8220479ab200ef4ec9aeb50c19f9e1"},"schema_version":"1.0","source":{"id":"1603.01038","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.01038","created_at":"2026-05-18T00:51:51Z"},{"alias_kind":"arxiv_version","alias_value":"1603.01038v1","created_at":"2026-05-18T00:51:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01038","created_at":"2026-05-18T00:51:51Z"},{"alias_kind":"pith_short_12","alias_value":"SMXC65STJMRI","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SMXC65STJMRIQD3Y","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SMXC65ST","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:867a71f33dacdeea7fa8e9f6e47f9cf1fc191e6272e13ae50939a2c0b6db5c6c","target":"graph","created_at":"2026-05-18T00:51:51Z","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":"Boundary-induced pattern formation from a spatially uniform state is investigated using one-dimensional reaction-diffusion equations. The temporal oscillation is successively transformed into a spatially periodic pattern, triggered by diffusion from the fixed boundary. We introduced a spatial map, whose temporal sequence, under selection criteria from multiple stationary solutions, can completely reproduce the emergent pattern, by replacing the time with space. The relationship of the pattern wavelength with the period of oscillation is also obtained. The generality of the pattern selection pr","authors_text":"Kunihiko Kaneko, Takahiro Kohsokabe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-03-03T10:01:24Z","title":"Boundary-Induced Pattern Formation from Temporal Oscillation: Spatial Map Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01038","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":"sha256:280bc9e5b795a589bd4ac6be5d0afca284d8189d9dab7612bb4a49860f6b05cf","target":"record","created_at":"2026-05-18T00:51:51Z","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":"53efd728a6d60ca6d49d933120192d3fb29d9e82a711340960251d584276382f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-03-03T10:01:24Z","title_canon_sha256":"f3a8bf96a43bca1e10163eab0d75f9e57e8220479ab200ef4ec9aeb50c19f9e1"},"schema_version":"1.0","source":{"id":"1603.01038","kind":"arxiv","version":1}},"canonical_sha256":"932e2f76534b22880f78b5215e6051b5609f10d534da1e6daf608466c2aa9ac5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"932e2f76534b22880f78b5215e6051b5609f10d534da1e6daf608466c2aa9ac5","first_computed_at":"2026-05-18T00:51:51.722239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:51.722239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N882UYOfP7G0Mf6W6UPc/ZxZvA1DK9GgXshSwvJAHUCdA/Pig/54SPr9+BGY7yGvHSLwfjHD6SmVG44+R0GBCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:51.722852Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.01038","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:280bc9e5b795a589bd4ac6be5d0afca284d8189d9dab7612bb4a49860f6b05cf","sha256:867a71f33dacdeea7fa8e9f6e47f9cf1fc191e6272e13ae50939a2c0b6db5c6c"],"state_sha256":"1412c626869a9e4fe7116964dfb0174c60fd7d13f65edf8b5b2ea36f55924135"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j/Tg5Jo4f+PoOiCRieFVHoJUhJhcQxd8LeAdZ85lGGkBdy21/8pNjCWQSGheXwpJsfhvE0rkBZsHIwXtgr7NBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T18:29:27.633088Z","bundle_sha256":"5f117673f7e3084c02a830339adbd019475b00f91651dc2d51cbb12ba26545f6"}}