{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:E4MTZQEDE2KIK3UTMWN4VERMLP","short_pith_number":"pith:E4MTZQED","canonical_record":{"source":{"id":"1411.6561","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-11-24T18:36:09Z","cross_cats_sorted":[],"title_canon_sha256":"f19f8bf3cc2c2b2abb593956c7024c1ba249ca434db6194c332d7d023e24213f","abstract_canon_sha256":"e908c96d5bb24cdef87a235a16b2ecd9d9b9765c0800f970fdc20a6eb78cc38e"},"schema_version":"1.0"},"canonical_sha256":"27193cc0832694856e93659bca922c5bd6d048e040379dc9892bba05521989bf","source":{"kind":"arxiv","id":"1411.6561","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6561","created_at":"2026-05-18T01:41:26Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6561v2","created_at":"2026-05-18T01:41:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6561","created_at":"2026-05-18T01:41:26Z"},{"alias_kind":"pith_short_12","alias_value":"E4MTZQEDE2KI","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"E4MTZQEDE2KIK3UT","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"E4MTZQED","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:E4MTZQEDE2KIK3UTMWN4VERMLP","target":"record","payload":{"canonical_record":{"source":{"id":"1411.6561","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-11-24T18:36:09Z","cross_cats_sorted":[],"title_canon_sha256":"f19f8bf3cc2c2b2abb593956c7024c1ba249ca434db6194c332d7d023e24213f","abstract_canon_sha256":"e908c96d5bb24cdef87a235a16b2ecd9d9b9765c0800f970fdc20a6eb78cc38e"},"schema_version":"1.0"},"canonical_sha256":"27193cc0832694856e93659bca922c5bd6d048e040379dc9892bba05521989bf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:26.223992Z","signature_b64":"3iwpZDH/MAWTzsX1ofHHolAPrQcWjHYHlCq/Wqlolv+TcVPutkk40EbHevHeC9H9hcU5Y1vYdTuopNNkEHJZDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27193cc0832694856e93659bca922c5bd6d048e040379dc9892bba05521989bf","last_reissued_at":"2026-05-18T01:41:26.223394Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:26.223394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.6561","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":"2026-05-18T01:41:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TAopiZN6DbKqcJ7mN4RT5Gh3jDcOvQk0iRYI8QYEHK0d6jqiVfAowIm23mavilqKJs8UgLkFGUOxKGved+s6Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:23:49.620045Z"},"content_sha256":"caa8ea48a74d91e21fc0a51c88f5c6a66bb448102716d4ba1578c58e0dc5d338","schema_version":"1.0","event_id":"sha256:caa8ea48a74d91e21fc0a51c88f5c6a66bb448102716d4ba1578c58e0dc5d338"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:E4MTZQEDE2KIK3UTMWN4VERMLP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Front and Turing patterns induced by Mexican-hat-like nonlocal feedback","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Eckehard Sch\\\"oll, Julien Siebert","submitted_at":"2014-11-24T18:36:09Z","abstract_excerpt":"We consider the effects of a Mexican-hat-shaped nonlocal spatial coupling, i.e., symmetric long-range inhibition superimposed with short-range excitation, upon front propagation in a model of a bistable reaction-diffusion system. We show that the velocity of front propagation can be controlled up to a certain coupling strength beyond which spatially periodic patterns, such as Turing patterns or coexistence of spatially homogeneous solutions and Turing patterns, may be induced. This behaviour is investigated through a linear stability analysis of the spatially homogeneous steady states and nume"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6561","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":"2026-05-18T01:41:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lihbQ4ziViXjUWgPhEhLb/pRMt+PRIgB/SUJC/5JNZd0FMGAve2aXoN8x9yaT1DYqwwyfP9vKg5BOnNrArTjDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:23:49.620735Z"},"content_sha256":"c8c4607cb6fffd6ff05d0e0c1c3f1213d31468a2feb79b90cb8d3ac63010735b","schema_version":"1.0","event_id":"sha256:c8c4607cb6fffd6ff05d0e0c1c3f1213d31468a2feb79b90cb8d3ac63010735b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E4MTZQEDE2KIK3UTMWN4VERMLP/bundle.json","state_url":"https://pith.science/pith/E4MTZQEDE2KIK3UTMWN4VERMLP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E4MTZQEDE2KIK3UTMWN4VERMLP/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":"2026-06-11T02:23:49Z","links":{"resolver":"https://pith.science/pith/E4MTZQEDE2KIK3UTMWN4VERMLP","bundle":"https://pith.science/pith/E4MTZQEDE2KIK3UTMWN4VERMLP/bundle.json","state":"https://pith.science/pith/E4MTZQEDE2KIK3UTMWN4VERMLP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E4MTZQEDE2KIK3UTMWN4VERMLP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:E4MTZQEDE2KIK3UTMWN4VERMLP","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":"e908c96d5bb24cdef87a235a16b2ecd9d9b9765c0800f970fdc20a6eb78cc38e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-11-24T18:36:09Z","title_canon_sha256":"f19f8bf3cc2c2b2abb593956c7024c1ba249ca434db6194c332d7d023e24213f"},"schema_version":"1.0","source":{"id":"1411.6561","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6561","created_at":"2026-05-18T01:41:26Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6561v2","created_at":"2026-05-18T01:41:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6561","created_at":"2026-05-18T01:41:26Z"},{"alias_kind":"pith_short_12","alias_value":"E4MTZQEDE2KI","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"E4MTZQEDE2KIK3UT","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"E4MTZQED","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:c8c4607cb6fffd6ff05d0e0c1c3f1213d31468a2feb79b90cb8d3ac63010735b","target":"graph","created_at":"2026-05-18T01:41:26Z","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 consider the effects of a Mexican-hat-shaped nonlocal spatial coupling, i.e., symmetric long-range inhibition superimposed with short-range excitation, upon front propagation in a model of a bistable reaction-diffusion system. We show that the velocity of front propagation can be controlled up to a certain coupling strength beyond which spatially periodic patterns, such as Turing patterns or coexistence of spatially homogeneous solutions and Turing patterns, may be induced. This behaviour is investigated through a linear stability analysis of the spatially homogeneous steady states and nume","authors_text":"Eckehard Sch\\\"oll, Julien Siebert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-11-24T18:36:09Z","title":"Front and Turing patterns induced by Mexican-hat-like nonlocal feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6561","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:caa8ea48a74d91e21fc0a51c88f5c6a66bb448102716d4ba1578c58e0dc5d338","target":"record","created_at":"2026-05-18T01:41:26Z","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":"e908c96d5bb24cdef87a235a16b2ecd9d9b9765c0800f970fdc20a6eb78cc38e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-11-24T18:36:09Z","title_canon_sha256":"f19f8bf3cc2c2b2abb593956c7024c1ba249ca434db6194c332d7d023e24213f"},"schema_version":"1.0","source":{"id":"1411.6561","kind":"arxiv","version":2}},"canonical_sha256":"27193cc0832694856e93659bca922c5bd6d048e040379dc9892bba05521989bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27193cc0832694856e93659bca922c5bd6d048e040379dc9892bba05521989bf","first_computed_at":"2026-05-18T01:41:26.223394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:26.223394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3iwpZDH/MAWTzsX1ofHHolAPrQcWjHYHlCq/Wqlolv+TcVPutkk40EbHevHeC9H9hcU5Y1vYdTuopNNkEHJZDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:26.223992Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6561","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:caa8ea48a74d91e21fc0a51c88f5c6a66bb448102716d4ba1578c58e0dc5d338","sha256:c8c4607cb6fffd6ff05d0e0c1c3f1213d31468a2feb79b90cb8d3ac63010735b"],"state_sha256":"f7a5bbf9762cb26fe6a605b0e2a4257190dc89626ba77451b2048e658fed1a5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pC/zpPGMAOHRyineUhLGwC2wwXVXevKdss58RBDhiQsdk++B8TLk7B6jtgXMfFTMWfqMnoMNU6UkdRd96hPUCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T02:23:49.624149Z","bundle_sha256":"53fd19c425a82c318896384a1a79c3571d2bb60f23d4ac77f38d0b697cc41876"}}